Answers
Related Questions
Reagan needs to rent a pickup truck for one day, so she is comparing different rental companies' rates.
- One rental company charges $55 per day to rent a pickup, with no additional charge per mile driven.
- Another company's charge of $34 per day includes up to 150miles. Beyond that, the renter is charged $0.25 per mile.
If Reagan drives a certain distance, d, the total charges from the two rental companies will be the same amount. Which equation can Reagan use to find d?
Answers
The equation that can be used for Reagan to find d is d0.25 + 34 = 55.
What is an equation?In mathematics, equations are mathematical expressions that relate variables using numbers, letters, and symbols to represent a situation.
What are the steps to write an equation?List all the variables, numbers, etc. given in a specific situation.Choose appropriate symbols such as +,x, etc.Relate these factors.Based on this, the correct equation would be:
d0.25 + 34 = 55
This can be solved as
d 0.25 = 55 -34
d 0.25 = 21
d= 21/0.5
d= 42
Learn more about equations in https://brainly.com/question/29657983
#SPJ1
HELP PLEASE I WILL MARK BRAINOEST
Answers
Answer:
y ≤ 1/3x - 4
Step-by-step explanation:
it could not be options 3 or 4 because the y-intercept is -4, not +4
I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)
1st option: y ≥ 1/3x - 4 Is this true? -4 ≥ 1/3(3) No, -4 is not GE 1
2nd option: y ≤ 1/3x - 4 Is this true? -4 ≤ 1/3(3) Yes, -4 is LE 1
via gelato is a popular neighborhood gelato shop. the company has provided the following cost formulas and actual results for the month of june: fixed element per month variable element per liter actual total for june revenue $ 13.00 $ 72,540 raw materials $ 4.75 $ 30,330 wages $ 5,700 $ 1.50 $ 14,560 utilities $ 1,730 $ 0.30 $ 3,800 rent $ 2,700 $ 2,700 insurance $ 1,450 $ 1,450 miscellaneous $ 660 0.45 $ 2,990 while gelato is sold by the cone or cup, the shop measures its activity in terms of the total number of liters of gelato sold. for example, wages should be $5,700 plus $1.50 per liter of gelato sold and the actual wages for june were $14,560. via gelato expected to sell 6,000 liters in june, but actually sold 6,200 liters.
Answers
Via Gelato total revenue for the month of June as the the details of expenses is equal to $7870.
As given in the question,
Total revenue is:
= (6200 × 13) - 72,540
=$ 8060
Details of all expenses are as follow:
Expense on raw material:
= (6200 × 4.75) -30,330
= -$880
Wages :
= (6200 ×1. 50) + 5,700 - 14,560
= $440
Utilities:
= (6200 × 0.30) +1730 - 3,800
= -$210
Rent:
= (2700-2700)
= 0
Insurance :
= (1450-1450)
= 0
Miscellaneous :
= (6200 × 0.45) + 660 -2,990
= $460
Total expense
=-$190
Net operating income :
=$ [8060-190]
=$7870
Therefore, Via Gelato's total revenue of the June month is equal to $7870.
Learn more about revenue here
brainly.com/question/13563292
#SPJ4
question.
arimal is studying the relationship between the temperature and the number of bicyclists on a path. The relationship can be represented by
the line of best fit equation y = 8x + 15, where x represents the temperature in degrees Celsius and y represents the number of bicyclists on the
math. Parimal wants to know if he should expect there to be at least 10 bleyclists on the path if it is 0°C tomorrow.
hould Parimal expect at least 10 bicyclists on the path tomorrow if the temperature is 0°C? Explain.
elect a choice from each set to answer the questions.
Parimal (should / should not expect there to be at least 10 bicyclists on the path.
According to the line of best fit, Parimal should expect [8 / 15 / 23 / 95] bicyclists on the path if it is 0°C outside.
Answers
Parimal should expect at least 10 bicyclists on the path if the temperature is 0°C. According to the line of best fit equation y = 8x + 15, substituting x = 0 gives y = 8(0) + 15 = 15, indicating that the predicted number of bicyclists is 15. Since 15 is greater than 10, Parimal can expect at least 10 bicyclists on the path.
The line of best fit equation y = 8x + 15 represents the relationship between temperature (x) and the number of bicyclists (y) on the path. In this equation, the coefficient of x is 8, indicating that for every 1-degree increase in temperature, the number of bicyclists is expected to increase by 8.
To determine if Parimal should expect at least 10 bicyclists on the path when the temperature is 0°C, we substitute x = 0 into the equation. This gives y = 8(0) + 15 = 15, which means that the predicted number of bicyclists is 15.
Since 15 is greater than 10, Parimal should expect at least 10 bicyclists on the path if the temperature is 0°C. The line of best fit suggests that as the temperature increases, the number of bicyclists also increases. In this case, the model predicts that even at 0°C, there should be a significant number of bicyclists (15 in this case) on the path.
Learn more about Temperature here: brainly.com/question/28463594
#SPJ11
g(x) = -3х (х^2– 36) (х – 6)
Find all real zeros of the function
Answers
What percent of 80 is 48? Round your answer to the nearest hundredth if necessary.
Answers
Answer:
60%
Step-by-step explanation:
look at the image below.
Answers
Answer:
add all the sides up
Step-by-step explanation:
yw
the mean annual return for an employeeʹs ira is at most 3.6 percent. write the null and alternative hypotheses.
Answers
the null hypothesis (H0) represents the statement that there is no significant difference or effect, while the alternative hypothesis (Ha) states the opposite.
to determine if there is enough evidence to support the claim that the mean annual return is indeed greater than 3.6 percent or not.In hypothesis testing, the null hypothesis (H0) represents the statement that there is no significant difference or effect, while the alternative hypothesis (Ha) states the opposite.
In this case, the null hypothesis is that the mean annual return for the employee's IRA is at most 3.6 percent. It suggests that the true mean return is equal to or less than 3.6 percent. Mathematically, it can be represented as H0: μ ≤ 3.6, where μ represents the population mean.
The alternative hypothesis, Ha, contradicts the null hypothesis and asserts that the mean annual return is greater than 3.6 percent. It suggests that the true mean return is higher than 3.6 percent. It can be represented as Ha: μ > 3.6.
Learn more about null hypothesis here:
https://brainly.com/question/28920252
#SPJ11
select the two values of x that are roots of this equation x to the second power minus 5x+3=0
Answers
The solutions for the quadratic equation:
x^2 - 5x + 3 = 0
Are:
x = (5 + √13)/2x = (5 - √13)/2How to find the solutions for the quadratic equation?
For a general quadratic equation:
a*x^2+ b*x + c = 0
The solutions are given by the quadratic formula:
\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a} \\\\\)
In this case our equation is:
x^2 - 5x + 3 = 0
So we have:
a = 1
b = -5
c = 3
Replacing that in the quadratic formula we get:
\(x = \frac{5 \pm \sqrt{(-5)^2 - 4*1*3} }{2*1} \\\\x = \frac{5 \pm \sqrt{25 - 12} }{2*1} \\\\x = \frac{5 \pm \sqrt{13} }{2}\)
So the two solutions are:
x = (5 + √13)/2
x = (5 - √13)/2
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
Explain briefly the six main criteria that can be used to define normality and abnormality, by illustrating them with one psychological "abnormality" (other than homosexuality).
What may be the values and limitations of using the medical model and classification systems (which are originated from diagnosing and treating physical illnesses) to the understanding and treating of psychological disorders?
The six criteria are:
1. Abnormality as statistical infrequency (Involves comparison with other people)
2. Abnormality as personal distress (Involves consequences of the behavior for self)
3. Abnormality as others’ distress (Involves the consequences of the behavior for others)
4. Abnormality as unexpected behavior (Involves another kind of comparison with others’ behavior)
5. Abnormality as highly consistent/inconsistent behavior (Involving making comparisons between both the actor and others, and between the actor and him/herself in different situations)
6. Abnormality as maladaptiveness or disability (Concerns about the (disabling) consequences for the actor)
Answers
The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.
1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.
2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.
For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.
3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.
For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.
4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.
For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.
5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.
For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.
6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.
The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.
To know more about abnormality, visit,
https://brainly.com/question/27999898
#SPJ4
Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount. This suggests that your first regression suffers from a. heteroskedasticity b. perfect multicollinearity c. omitted variable bias d. dummy variable trap 8. Imperfect multicollinearity a. implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand b. violates one of the four Least Squares assumptions in the multiple regression model c. means that you cannot estimate the effect of at least one of the Xs on Y d. suggests that a standard spreadsheet program does not have enough power to estimate the multiple regression model
Answers
Some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.
Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount.
This suggests that your first regression suffers from omitted variable bias. Imperfect multicollinearity implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand. Imperfect multicollinearity means that there is a strong correlation between the regressors, but they are not perfectly correlated.
As a result, some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.
When there is multicollinearity in the data, it means that two or more of the variables are highly correlated with one another. In other words, the data may contain redundant information, which can make it difficult to estimate the regression coefficients or partial effects.The dummy variable trap refers to a situation in which one of the variables is a perfect linear combination of the other variables.
This results in the model being unsolvable, and the coefficients cannot be estimated. Heteroskedasticity is the term used to describe when the variance of the residuals is not constant across all values of the independent variables. This means that the predictions of the model may be biased, and the standard errors of the coefficients may be incorrect.
For more such questions on multicollinearity, click on:
https://brainly.com/question/15856348
#SPJ8
write the integral as the sum of the integral of an odd function and the integral of an even function.
Answers
We can write the integral of f(x) as the sum of the integral of the even component, e(x), and the integral of the odd component, o(x). This gives us the following equation: ∫f(x)dx = ∫e(x)dx + ∫o(x)dx
Integrals can be written as the sum of the integral of an odd function and the integral of an even function. This is because any function can be broken down into its even and odd components. Even functions are those that remain unchanged when reflected over the x-axis. This means that the result of evaluating the function for any x-value is the same as the result for its negative. Odd functions are those that change sign when reflected over the x-axis. This means that the result of evaluating the function for any x-value is the negative of the result for its negative.
The integral of an even function is the same regardless of whether it is written as the sum of the integral of an odd function and the integral of an even function, or if it is written just as an integral of the even function. The integral of an odd function is the negative of the integral of the even function when written as the sum of the two integrals.
To know more about functions click here:
https://brainly.com/question/29769447
#SPJ11
The bonus question asks for the application of the integral test to determine the convergence of the series given by 2n*e^(-a).
The integral test is a method used to determine the convergence or divergence of a series by comparing it to the integral of a related function. In this case, we are given the series 2n*e^(-a), and we can use the integral test because the terms of the series involve the variable 'n', and the function e^(-a) can be integrated.
To apply the integral test, we consider the integral of the function corresponding to the series. In this case, we integrate the function f(x) = 2x*e^(-a) from 1 to infinity. If this integral converges, then the series is also convergent. Conversely, if the integral diverges, then the series is divergent.
By evaluating the integral of f(x) and analyzing its convergence or divergence, we can determine whether the given series 2n*e^(-a) converges or diverges. Showing all the steps in evaluating the integral and discussing the convergence properties of the resulting integral will be necessary to receive full credit for this question.
Learn more about integral:
https://brainly.com/question/31109342
#SPJ11
Victor has a part time job. He saves 18% of his monthly income. Victor makes $215 a month. How much money does he save a month?
Answers
shooting free throws. in college basketball games, a player may be afforded the opportunity to shoot two consecutive foul shots (free throws). a. suppose a player who makes (i.e., scores on) 80% of his foul shots has been awarded two free throws. if the two throws are considered independent, what is the probability that the player makes both shots? exactly one? neither shot? b. suppose a player who makes 80% of his first attempted foul shots has been awarded two free throws and the outcome on the second shot is dependent on the outcome of the first shot. in fact, if this player makes the first shot, he makes 90% of the second shots; and if he misses the first shot, he makes 70% of the second shots. in this case, what is the probability that the player makes both shots? exactly one? neither shot?
Answers
For the given scenario: the Probability of making both shots are A. 0.64 and B. 0.72
a) If a player makes 80% of his foul shots, the probability of making a single foul shot is 0.8. Since the two shots are considered independent events, the probability of making both shots is the product of the individual probabilities.
Therefore, the probability of making both shots is 0.8 * 0.8 = 0.64.
To calculate the probability of making exactly one shot, we need to consider two scenarios: making the first shot and missing the second, or missing the first shot and making the second. Each scenario has a probability of 0.8 * 0.2 = 0.16.
Therefore, the probability of making exactly one shot is 0.16 + 0.16 = 0.32.
Similarly, the probability of missing both shots is 0.2 * 0.2 = 0.04.
b) In this case, the outcome of the second shot depends on the outcome of the first shot. If the player makes the first shot (with a probability of 0.8), the probability of making the second shot is 0.9.
Therefore, the probability of making both shots is 0.8 * 0.9 = 0.72.
If the player misses the first shot (with a probability of 0.2), the probability of making the second shot is 0.7.
Therefore, the probability of making exactly one shot is 0.2 * 0.7 = 0.14.
Since there are only two possible outcomes (making both shots or making exactly one shot), the probability of neither shot being made is 1 - (0.72 + 0.14) = 0.14.
Therefore, for the given scenario:
a) Probability of making both shots: 0.64
Probability of making exactly one shot: 0.32
Probability of missing both shots: 0.04
b) Probability of making both shots: 0.72
Probability of making exactly one shot: 0.14
Probability of missing both shots: 0.14
To learn more about Probability from the given link
https://brainly.com/question/24756209
#SPJ4
is smoking during pregnancy associated with premature births? to investigate this question, researchers selected a random sample of 115 pregnant women who were smokers. the average pregnancy length for this sample of smokers was 259 days. from a large body of research, it is known that length of human pregnancy has a standard deviation of 16 days. the researchers assume that smoking does not affect the variability in pregnancy length.
Answers
The 99% confidence interval is ( 255.157, 262.843 ).
The subset chosen from the larger set to make assumptions is known as a random sample. A range of values is a confidence interval.
According to the given question,
n = number of pregnant women who are smokers
n = 115
μ = average pregnancy length for the sample
μ = 259
σ = standard deviation
σ = 16
At a 99% confidence level,
α = 0.01
z(α/2) = 2.576
The confidence interval is
CI = μ ± z(α/2).(σ/√n)
= 259 ± (2.576)(16/√115)
= 259 ± (2.576)(16/10.724)
= 259 ± (2.576)(1.492)
= 259 ± 3.843
= ( 259 - 3.843, 259 + 3.843)
CI = ( 255.157, 262.843 )
Therefore, the 99% confidence interval to estimate the length of pregnancy for women who smoke is ( 255.157, 262.843 ).
To know more about confidence interval refer to:
https://brainly.com/question/26658887
#SPJ4
The complete question is
Is smoking during pregnancy associated with premature births? To investigate this question, researchers selected a random sample of 115 pregnant women who were smokers. The average pregnancy length for this sample of smokers was 259 days. From a large body of research, it is known that the length of human pregnancy has a standard deviation of 16 days. The researchers assume that smoking does not affect the variability in pregnancy length.
Find the 99% confidence interval to estimate the length of pregnancy for women who smoke.
Note: The critical z-value to use is 2.576
Malian bought a laptop with a 10% discount. She also bought a mouse for 13.99 and spent 621.49 before tax. Write an equation to find the original cost of the laptop.
Answers
Answer:
(621.49 x 0.1) + 13.99 = x
Step-by-step explanation:
I hope this helps
Please help me ASAP!!!!!!!!!!!!!!
The temperature in Kiev rises by 6 degress over the next 6 hours. What is the temperature in Kiev at 6pm?
See picture attached as well.
WINNER GETS BRAINLIEST, THANKS AND A STAR RATING OF EXCELLENT!!!!!!!!!
Answers
Answer:
7 Celsius
Step-by-step explanation:
Initial temperature at 12pm is 1 Celsius.
Rises by 6 (add by 6).
The temperature in Kiev at midday on March 1st is 8°C. If the temperature rises by 6 degrees over the next 6 hours, then the temperature in Kiev at 6pm will be 8°C + 6°C = 14°C.
Here is the calculation:
Temperature at midday + 6 degrees = Temperature at 6pm
8°C + 6°C = 14°C
Therefore, the temperature in Kiev at 6pm is 14°C.
To know more about temperature:
https://brainly.com/question/7510619
#SPJ2
HW Slide 2
Which angle relationship is the only one that is supplementary?
If Angles 1 and 4 are alternate exterior and m<1-85. What is the
measure of angle 4?
If Angles 1 and 5 are consecutive interior and m<1-43 what is the
measure of angle 5?
Answers
The angle relationships that is supplementary is angle 1 and angle 5.
What are supplementary angles?Supplementary angles are those angles that sum up to 180 degrees.
In other words, supplementary angles refer to the pair of angles that always sum up to 180°.
Alternate exterior angles are congruent to each other.
Therefore, ∠1 and ∠4 are not supplementary angles.
Hence,
m∠4 =m∠1
m∠4 = 85°
Consecutive interior angles are supplementary. That is they sum up to 180 degrees.
m∠1 = 43°
m∠5 = 180 - 43
m∠5 = 137°
Therefore, ∠1 and ∠5 are supplementary angles.
learn more on supplementary angles here: https://brainly.com/question/26707986
#SPJ1
???????????????????????????
Answers
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (1, 6) and (x₂, y₂ ) = (- 1, 8) ← 2 ordered pairs from the table
m = \(\frac{8-6}{-1-1}\) = \(\frac{2}{-2}\) = - 1 , then
y = - x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (1, 6 ) , then
6 = - 1 + c ⇒ c = 6 + 1 = 7
y = - x + 7 → B
Find the length of the third side. If necessary, round to the nearest tenth.
21
25
Answers
Answer:
can u please attach the picture of the question
Please help me this is a study island question!
Lines AB and CD are parallel. If 3 measures (3x + 13)°, and 4 measures 137°, what is the value of x?
A.
x = 10
B.
x = 5
C.
x = 223
D.
x = 137
Answers
I think I have the answer but, I really need help with the steps!
Answers
Answer:
simplify to:
6-32768/-60
simplify more
-32762/-60
take away the negatives
32762/60
simplify the fraction
16381/30
keep going till you get the answer
Solve this equation:
3x^2y^2-y^7+x^4
When
x=-2
y=1
Answers
Answer:
27Step-by-step explanation:
Given:
x = - 2, y = 1Find the value of the expression:
3x²y² - y⁷ + x⁴ =3(-2)²(1)² - 1⁷ + (-2)⁴ =12 - 1 + 16 =27A change in the unit of measurement of the dependent variable in a model does not lead to a change in: a. the standard error of the regression. b. the sum of squared residuals of the regression. c. the goodness-of-fit of the regression. d. the confidence intervals of the regression.
Answers
A change in the unit of measurement of the dependent variable in a model does not lead to a change in the goodness-of-fit of the regression. The correct option is c.
The goodness-of-fit, often measured by the coefficient of determination (R-squared), reflects the proportion of variance in the dependent variable that can be explained by the independent variable(s) in the model. This measure is unitless and ranges from 0 to 1, where a value closer to 1 indicates a better fit.
When the unit of measurement of the dependent variable changes, the standard error of the regression (option a) may change since it represents the dispersion of the observed values around the predicted values in the model. Similarly, the sum of squared residuals of the regression (option b) might also change, as it is the sum of the squared differences between the observed and predicted values.
Additionally, the confidence intervals of the regression (option d) may be affected by a change in the unit of measurement, as these intervals provide a range within which the true population parameters are likely to fall, and the range is dependent on the scale of the dependent variable.
In summary, while a change in the unit of measurement of the dependent variable can affect the standard error, sum of squared residuals, and confidence intervals of the regression, it does not impact c. the goodness-of-fit of the regression model.
To know more about dependent variable, refer to the link below:
https://brainly.com/question/1479694#
#SPJ11
9. A solid iron rectangular block of dimensions 3.5 meters, 2.4 meters, and 2 meters is cast into a hollow cylindrical pipe of internal radius 27 centimeters and thickness 4 centimeters. Find the length of the pipe.
Answers
Therefore, The length of the hollow cylindrical pipe is approximately 55.48 meters.
To solve this problem, we will first find the volume of the solid iron rectangular block and then use it to find the length of the hollow cylindrical pipe. Here are the steps:
1. Find the volume of the rectangular block:
Volume = Length × Width × Height
Volume = 3.5m × 2.4m × 2m = 16.8 m³
2. Convert the internal radius and thickness to meters:
Internal radius = 27 cm = 0.27 m
Thickness = 4 cm = 0.04 m
3. Calculate the external radius of the pipe:
External radius = Internal radius + Thickness
External radius = 0.27m + 0.04m = 0.31m
4. Let L be the length of the pipe. We can write the volume of the hollow pipe as:
Volume = π × (External radius² - Internal radius²) × Length
16.8 m³ = π × (0.31² - 0.27²) × L
5. Solve for L:
L = 16.8 m³ / [π × (0.31² - 0.27²)]
L ≈ 55.48 meters
Therefore, The length of the hollow cylindrical pipe is approximately 55.48 meters.
To learn more about the volume of the cylinder visit:
brainly.com/question/6204273
#SPJ11
Which of the following shapes are rhombuses ? Choose 2 correct answers !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer - The answer is B AND C
Pls give brainliest
Answer:
Hello there! Your answer would be C and B.
Step-by-step explanation:
You might know that a Rhombus is a special type of parallelogram whose all sides are equal. The difference between a square and a rhombus is that all angles of a square are right angles, but the angles of a rhombus need not be right angles. So, a rhombus with right angles becomes a square. It is not D because it shows you that it has right angles. A does not have equal sides therefore it is not a rhombus :]
a researcher believes that women today weigh less than in previous years. to investigate this belief, she randomly samples 41 adult women and records their weights. the scores have a mean of 111 lbs. and a standard deviation of 12.4. a local census taken several years ago shows the mean weight of adult women was 115 lbs. the obtained value of the appropriate statistic for testing h0 is
Answers
The given problem is concerned with hypothesis testing. The researcher believes that women today weigh less than in previous years. To investigate this belief, she randomly samples 41 adult women and records their weights. The obtained value of the appropriate statistic for testing H0 is t= -2.42.
Given that,
Population mean µ = 115 lbs
Sample mean x = 111 lbs
Sample size n = 41
Standard deviation σ = 12.4 lbs
hypothesis testing
Null hypothesis H0: µ = 115 lbs
Alternate hypothesis H1: µ < 115 lbs
Since the population standard deviation is unknown and the sample size is less than 30, we use a t-distribution to test the hypothesis. The formula for the t-test statistic is,
t= (x- µ)/(s/√n)
Where, x = sample mean, µ = population mean, s = sample standard deviation, and n = sample size
Substituting the given values in the above formula, we get,
t= (111 - 115) / (12.4/ √41)t= -4 / 1.93t= -2.07
The obtained value of the appropriate statistic for testing H0 is t= -2.07.
The calculated t-value is compared with the critical value of t with degrees of freedom (df) = n-1 = 41-1 = 40 at the desired significance level. If the calculated t-value is less than the critical value of t, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
You can learn more about the hypothesis at: brainly.com/question/32562440
#SPJ11
(4x^2y)^2 · 2(7(3))^4
Answers
The graph of y = f(x) is graphed below. What is the end behavior of f(x)?
Answers
9514 1404 393
Answer:
(b) signs of the infinities are opposite
Step-by-step explanation:
The graph shows a trend toward +∞ as x gets more negative, and toward -∞ as x gets more positive. That is, the sign of the end behavior of y is opposite that of x. This is expressed by the second choice.
Solve.a. Hillary can do a certain puzzle in 5 hours. Bill can do the same puzzle in 7 hours. How longwill it take them if they work together?b. A motor boat goes 10 miles against the current in a river in the same time that it goes 15miles with the current. If the rate of the current is 3 mph, find the rate of the boat in stillwater.
Answers
So, it takes Hillary and Bill approximately 4.35 hours to complete 1 puzzle together and the speed of the boat in still water is approximately 12 mph.
a. Let's call the time it takes for Hillary and Bill to complete the puzzle together "t." We know that in 5 hours, Hillary can do 1 puzzle, so her rate is 1/5 puzzles per hour. Bill can do 1 puzzle in 7 hours, so his rate is 1/7 puzzles per hour. When they work together, their combined rate is (1/5 + 1/7) puzzles per hour. To find the time it takes them to complete 1 puzzle together, we set up an equation: t = 1 / (1/5 + 1/7). Solving for t, we find that it takes them approximately 4.35 hours to complete 1 puzzle together.
b. Let's call the speed of the boat in still water "s." When the boat is going against the current, its speed is s - 3 mph, and when it is going with the current, its speed is s + 3 mph. We know that it takes the same amount of time for the boat to go 10 miles against the current and 15 miles with the current, so we can set up an equation: 10 / (s - 3) = 15 / (s + 3). Solving for s, we find that the speed of the boat in still water is approximately 12 mph.
Therefore, it takes Hillary and Bill approximately 4.35 hours to complete 1 puzzle together and the speed of the boat in still water is approximately 12 mph.
To learn more about Work Problems
Visit; brainly.com/question/29191491
#SPJ4