Answer:
D. 21.9%
Step-by-step explanation:
(650÷2970)x100= 21.88% rounded off 21.9%
which has more KE ? a 2 g bee flying at 1 m/s OR a 1 g wasp flying at 2 m/s \( \\ \) ty! ~
Answer: Wasp has greater kinetic energy of 0.002 Joules
Given for bee:
mass: 2g = 2 × 10⁻³ kgvelocity: 1 m/sGiven for wasp:
mass: 1 g = 1 × 10⁻³ kgvelocity: 2 m/sFormula:
Kinetic Energy (J) = ½ × mass (kg) × velocity² (m/s)Kinetic energy of bee:
½ × 2 × 10⁻³ × 1² = 1 × 10⁻³ Joules ≈ 0.001 JoulesKinetic energy of wasp:
½ × 1 × 10⁻³ × 2² = 2 × 10⁻³ Joules ≈ 0.002 JoulesFrom this, it is determined wasp has greater kinetic energy.
Cassie is going to dinner and a movie with some friends. The movie starts at 7:30 p.m. The restaurant
is 15 minutes from the theater, and dinner will take one hour. If Cassie
lives 20 minutes from the restaurant, what time should she leave her house?
Answer:5:55pm
Step-by-step explanation:
7:30-0:20=7:10-1:00=6:10-0:15=5:55pm
Write an inequality for the word problem and answer the question about the inequality. Eric has an equal number of dimes and quarters that total less than 4 dollars. Could he have 12 dimes
Write an inequality for the word problem and answer the question about the inequality. Eric has an equal number of dimes and quarters that total less than 4 dollars. Could he have 12 dimes
Let
x -----> number of dimes coin
y -----> number of quarters coin
we have that
x=y ------> equation 1
and
0.10x+0.25y < 4 ------> inequality 1
substitute equation 1 in inequality 1
0.10x+0.25x < 4
solve for x
0.35x<4
x < 11.4
For 12 dimes
the value of x=12 not satisfy the inequality
that means
He couldn't have 12 dimes
Need help please and thank you!!
9514 1404 393
Answer:
y = 6·2^x
Step-by-step explanation:
The general form can be written as ...
y = a·b^x
The value of 'a' is the value of y when x=0. That is 6.
The value of 'b' is the ratio of y-values when x differs by 1. b = 12/6 = 2.
So, the equation of interest is ...
y = 6·2^x
In 1960, the average cost of a gallon of milk was $0.49. In 1985, the average cost of a gallon of milk was $2.26. Which of the following represents how to calculate the percent increase in the average cost of a gallon of milk from 1960 to 1985.
A
2.26−0.490.49
B
2.26+0.490.49
C
2.26−0.492.26
D
2.26+0.492.26
Answer:
A
Step-by-step explanation:
$ 2.26- $0.49
=$1.77 increase from 1960 to 1985
Mary made a withdrawal of d dollars from her savings account. Her previous balance was $350, and her current balance is $280. Represent this situation as a mathematical statement.350/d = 280350 + d = 280350 × d = 280350 - d = 280
Solution
Previous balance = $ 350
Withdrawals = $ d
Current balance = $ 280
The mathematical statement will be written as shown in the equation below
\(350-d=280\)NOTE:
Previous balance - Withdrawals = Current balance
3+5 plz help will gibe brain
Answer:
8
Step-by-step explanation:
A mailing carton in the shape of a cube has a volume of 684 cubic inches. What is the length of one side of the carton to the nearest tenth of an inch?
Check the picture below.
please help answer
Tessellations
Rotate the parallelogram 180° clockwise about point Q.
Please select the best answer from the choices provided
Answer:
D.
Step-by-step explanation:
I calculated it logically
6. Explain what must occur to the parent
function f(x) = x² to transform the
function to g(x) = (x-4)² +2.
Answer:
4 units right, 2 units up
Step-by-step explanation:
For \(g(x)=(x-4)^2+2\), the graph of \(f(x)=x^2\) would need to move 4 units to the right and 2 units up. Hence, the vertex would be \((4,2)\) if we compare the function g(x) with the form \(y=a(x-h)^2+k\).
△TOPtriangle, T, O, P is rotated − 18 0 ∘ −180 ∘ minus, 180, degrees about the origin. Draw the image of this rotation
A graph of the resulting triangle after a rotation of -180° about the origin is shown below.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of triangle TOP 180° counterclockwise or -180° about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point T (6, 0) → Coordinates of point T' = (-6, 0)
Coordinates of point O (-2, -5) → Coordinates of point O' = (2, 5)
Coordinates of point P (-2, 5) → Coordinates of point P' = (2, -5).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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Help pleaseeeeeeeeeee
Answer:
m = 2/3
Step-by-step explanation:
Take two random points, I personally picked (-2, 0) and (1, 2)
Slope = rise/run = \(\frac{2-0}{1-(-2)} = \frac{2}{3}\)
The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm
Answer:
a
Step-by-step explanation:
the perimeter (P) of a square is the sum of the 4 congruent sides.
the area of a square is calculated as
area = s² ( s is the length of a side )
here area is 36 , then
s² = 36 ( take square root of both sides )
s = \(\sqrt{36}\) = 6
then
P = 4s = 4 × 6 = 24 cm
Help me please I need help on this
Answer:
1 lb
Step-by-step explanation:
Picked up 3/5 and 4/5.
Used 3/8.
Amount now:
3/5 + 4/5 - 3/8 =
= 7/5 - 3/8
= 56/40 - 15/40
= 41/40
Answer: 1 lb
A production line has an automatic scanner to detect defects. In recent production, 10% of items have been defective. Every defective item is identified correctly as defective with probability 90%. Every non-defective item is identified correctly as non-defective with probability 80%.
Required:
What percent of all the items are classified correctly by the scanner?
Answer:
81%
Step-by-step explanation:
P (Defective item) = 10% , P (Defective identified) = 90% of defective = 90% of 10% = 9%
P (Non defective item) = 1 - 10% = 90% , P (Non defective identified) = 80% of non defective = 80% of 90% = 72%
Prob (Scanner identifies correctly) = Pr (non defective mentioned non defective) & Pr (defective mentioned defective)
= 9% + 72% = 81%
Four research teamed each used a different method to collect data on how fast a new strain of maize sprouts. Assume that they all agree on the sample size and the sample mean ( in hours). Use the (confidence level; confidence interval) pairs below to select the team that has the smallest sample standard deviation
We need to identify the team that has the smallest sample standard deviation.
In order to do so, we need to find the stand deviation of each experiment based on the confidence level and confidence interval of each of them.
A. A confidence level of 99.7% corresponds to a confidence interval of 3 standard deviations above and 3 standard deviations below the mean.
Thus, for the confidence interval 42 to 48, the mean is 45. And the standard deviation is given by:
\(\begin{gathered} 3\sigma=48-45=3 \\ \\ \sigma=\frac{3}{3} \\ \\ \sigma=1 \end{gathered}\)B. A confidence level of 95% corresponds to a confident interval of 2 standard deviations above and 2 standard deviations below the mean.
Thus, for the confidence interval 43 to 47, the mean is 45. And the standard deviation is given by:
\(\begin{gathered} 2\sigma=47-45=2 \\ \\ \sigma=\frac{2}{2} \\ \\ \sigma=1 \end{gathered}\)C. A confidence level of 68% corresponds to a confident interval of 1 standard deviation above and 1 standard deviation below the mean.
Thus, for the confidence interval 44 to 46, the mean is 45. And the standard deviation is given by:
\(\begin{gathered} \sigma=46-45 \\ \\ \sigma=1 \end{gathered}\)D. Again, we have a confidence level of 95%, which corresponds to 2 standard deviations.
Thus, for the confidence interval 44 to 46, the mean is 45. And the standard deviation is given by:
\(\begin{gathered} 2\sigma=46-45=1 \\ \\ \sigma=\frac{1}{2} \\ \\ \sigma=0.5 \end{gathered}\)Therefore, the team that has the smallest sample standard deviation is:
Answer
2) The mean mathematics SAT score in 2012 was 514 with a standard deviation of 117 ("Total group profile," 2012). Assume the mathematics SAT score is normally distributed. a. State the random variable. b. Find the probability that a person has a mathematics SAT score over 700. c. Find the probability that a person has a mathematics SAT score of less than 400. d. Find the probability that a person has a mathematics SAT score between a 500 and a 650. e. Find the mathematics SAT score that represents the top 1% of all scores.
The mathematics SAT score representing the top 1% of all scores is approximately 780.
a. The random variable in this case is the mathematics SAT score.
b. To find the probability that a person has a mathematics SAT score over 700, we need to calculate the z-score first.
The z-score is calculated as \(\frac{(X - \mu )}{\sigma}\),
where X is the value we're interested in, μ is the mean, and σ is the standard deviation.
In this case, X = 700, μ = 514, σ = 117.
Using the formula, the z-score is \(\frac{(700 - 514)}{117 } = 1.59\).
To find the probability associated with this z-score, we can consult a standard normal distribution table or use a calculator.
The probability is approximately 0.0564 or 5.64%.
c. To find the probability that a person has a mathematics SAT score of less than 400, we again calculate the z-score using the same formula.
X = 400, μ = 514, and σ = 117.
The z-score is \(\frac{(400 - 514) }{117 } = -0.9744\).
Looking up the probability associated with this z-score, we find approximately 0.1635 or 16.35%.
d. To find the probability that a person has a mathematics SAT score between 500 and 650, we need to calculate the z-scores for both values.
Using the formula, the z-score for 500 is \(\frac{(500 - 514)}{117 } = -0.1197\),
and the z-score for 650 is \(\frac{(650 - 514)}{117 } = 1.1624\).
We can then find the area under the normal curve between these two z-scores using a standard normal distribution table or calculator.
Let's assume the probability is approximately 0.3967 or 39.67%.
e. To find the mathematics SAT score that represents the top 1% of all scores, we need to find the z-score corresponding to the top 1% of the standard normal distribution.
This z-score is approximately 2.33.
We can then use the z-score formula to calculate the corresponding SAT score.
Rearranging the formula,
\(X = (z \times \sigma ) + \mu\),
where X is the SAT score, z is the z-score, μ is the mean, and σ is the standard deviation.
Substituting the values,
\(X = (2.33 \times 117) + 514 = 779.61\).
Rounded to the nearest whole number, the mathematics SAT score representing the top 1% of all scores is approximately 780.
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Choose the correct graph of the following condition. {(x, y) : x - y6}
The correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.
What is a graph?
A graph is a diagram showing the relation between variable quantities each measured along one of a pair of axes at right angles.
In this case, the correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.
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Question One:
If a raw score corresponds to a z-score of 1.75, what does that tell you about that score in relation to the mean of the distribution?
Question Two:
What if the raw score corresponds to a z-score of -0.85?
Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two: , the raw score is relatively lower than the mean.
If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.
A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two:
If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.
To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.
In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.
By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.
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Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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In contrast to cooperative hunting, which are benefits of herding only? Check all that apply.
a. foraging
b. reproduction
c. divison of labor
d. protection
e. aerodynamic efficiency
f. hydrodynamic efficiency
the answer is : a, b, d
You had $199, but you are spending $3 each day. What algebraic expression models this situation?
Answer:
y=199-3x
Step-by-step explanation:
you ave 199 and 3 pper day so is considered each day and whatever it equals it will be y
Answer:
A 199 -3d
Step-by-step explanation:
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Kim made $5.35 on the first day
she set up her lemonade stand. If
she makes the same amount each
day for 6 days, how much money
will she have? (6-5)
A $42.80
B $37.30
C $32.10
D $28.70
Answer:
$32.10
Step-by-step explanation:
do 5.35 but six times and then add that all up then it will be 32.10
Answer:
C
Step-by-step explanation:
its c because 5.35 times 6 is C
Bill used a rain gauge to measure how much rain fell, in centimeters (cm), during a
rainfall.
(ANYONE WANNA HELP ME?)
Step-by-step explanation:
done hope this helped you
Can someone please help me ..
Answer:
A.) Coefficient
Step-by-step explanation:
While it is a term, it says which word best describes it, so it would better be classified as a coefficient since coefficients have variables attached to them
which integer is √85 closest to?
Answer:
81and9
Step-by-step explanation:
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