The table shows information about the
masses of some dogs.
a) Work out the minimum number of
dogs that could have a mass of more than 27 kg.
b) Work out the maximum number of
dogs that could have a mass of more than 27 kg.
Answers
a) The minimum number of dogs that could have a mass of more than 27 kg is 4.
b) The maximum number of dogs that could have a mass of more than 27 kg is 17.
What are maximum and minimum values?
The largest and smallest value of the function, either within a specific range or on the entire domain, is referred to as the maximum and minimum of a function, respectively.
Here, we have
The given table shows information about the masses of some dogs.
a) Because we need the minimum number of dogs,
Let's assume all dogs in the interval 20 to 40 have a mass of more than 27kg so the minimum value of 13 and 4 is 4.
b) Because we need the maximum number of dogs,
Let's assume all dogs present in the interval 20 to 40 have a mass of more than 27kg so the maximum of the values present in the interval 20 to 40 is 13 + 4 = 15
Hence, a) The minimum number of dogs that could have a mass of more than 27 kg is 4.
b) The maximum number of dogs that could have a mass of more than 27 kg is 17.
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Related Questions
Mabel drew a scale drawing of a campsite. The tent is 2 inches wide in the drawing. The actual tent is 8 feet wide. What scale did Mabel use for the drawing? 1 inch : feet Submit
Answers
Answer
The scale Mabel used for the drawing is
1 inch = 4 feet.
Explanation
On Mabel's drawing, the tent is 2 inches wide. But in real life, the actual tent is 8 feet wide.
So,
2 inches on Mabel's drawing = 8 feet in real life
2 inches = 8 feet
Divide both sides by 2 in order to obtain the scale used
(2 inches)/2 = (8 feet)/2
1 inch = 4 feet.
Hope this Helps!!!
-4y = -x + 18. find the points
Answers
Answer:
not sure please elaborate your question more.
Step-by-step explanation:
What Is the slope for these two points (3,-2) and (5,6)?
Answers
Answer:
4
Step-by-step explanation:
m = Δy/Δx = (6-(-2))/(5-3) =8/2 = 4
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
Answers
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for the trip. What is the total amount needed?
Answers
Answer: $1,540.00 is the total amount needed for the class trip
Step-by-step explanation:
Data: $110.00 earned for class trip
14th of the money needed
Money needed: x
Step one, Make the equation
110x14=x
Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.
Step two, Evaluate the equation
110x14=x=1540=x
Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the answer of x=1540.
However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'
I hope this helps!
A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights, blankets, and so forth) in their vehicles for emergency use while driving in winter. The following data give the number of items out of these 12 that were carried in their vehicles by 15 randomly selected motorists.
5.3 78 0 105 12 10 7 6 7 119
Find the mean, median, and mode for these data. Round your answers to two decimal places, where appropriate.
Mean items
Median items
Mode - items
Answers
Answer:
\(Mean = 6.07\)
\(Median = 7\)
\(Mode = 7\)
Step-by-step explanation:
Given
\(Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9\)
\(n = 15\)
Solving (a): The mean
Mean is calculated as:
\(Mean = \frac{\sum x}{n}\)
This gives:
\(Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}\)
\(Mean = \frac{91}{15}\)
\(Mean = 6.07\)
Solving (b): The median
Sort the data in ascending order:
\(Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9\)
\(Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12\)
The median is:
\(Median = \frac{n + 1}{2}th\)
\(Median = \frac{15 + 1}{2}th\)
\(Median = \frac{16}{2}th\)
\(Median = 8th\)
The 8th item on the sorted dataset is 7; So:
\(Median = 7\)
Solving (c): The mode
\(Mode = 7\)
Because it has a frequency of 3 (more than any other element of the dataset).
Which of the following statements is not true regarding the function y = 2"?
A. The function is an exponential function.
B. The function has a domain of all real numbers.
C. As the value of x gets very large, the value of y gets close to zero.
D. As the value of x increases by one, the value of y doubles.
Answers
Once a week you babysit your neighbor's toddler after school, usually going to
a local playground. You notice that each swing on the swing set takes nearly
the same amount of time, about 2.7 seconds. Use the pendulum formula
below to find out how long the swing is. Round your answer to the tenths
place.
Answers
Answer:
l = 1.8 feet
Step-by-step explanation:
Given that,
The time period of the pendulum, T = 2.7 seconds
We need to find the length of the swing. The formula for the time period of a simple pendulum is given by :
\(T=2\pi \sqrt{\dfrac{l}{g}}\)
Where
l is the length of the swing.
\(T^2=\dfrac{4\pi^2l}{g}\\\\l=\dfrac{T^2g}{4\pi^2}\\\\l=\dfrac{(2.7)^2\times 9.8}{4\times 3.14^2}\\\\l=1.8\ \text{feet}\)
So, the length of the swing is 1.8 feet long.
Answer:5.4
Step-by-step explanation:
When an independent variable in a multiple regression model includes a value of X to a higher power, such as X squared, and this model produces a higher value of R-squared than a linear model, this suggests that the residual plot for the linear equation did not produce a random pattern around the zero line of the residual plot.
True or False
Answers
The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data
1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.
2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.
3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.
4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.
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6. Let G be a group and X a finite G-set. Show that the number of G-subsets of X is 2n, where n is the number of distinct orbits in X
Answers
By using Orbit-Stabilizer Theorem, we can prove that the number of G-subsets of X is 2n, where n is the number of distinct orbits in X
What is Orbit-Stabilizer Theorem?The Orbit-Stabilizer Theorem states that, for any element x in a G-set X, the number of elements in the orbit of x is equal to the number of elements in the stabilizer of x, multiplied by the number of orbits in X. In other words, if G is a group and X is a finite G-set, then the following equation holds:
|G| = |Orbit(x)| * |Stabilizer(x)|
where |G| is the number of elements in G, |Orbit(x)| is the number of elements in the orbit of x, and |Stabilizer(x)| is the number of elements in the stabilizer of x.
what is subset?A subset is a set of objects or elements that are contained within another set.
we can use the Orbit-Stabilizer Theorem. This theorem states that, for any element x in a G-set X, the number of elements in the orbit of x is equal to the number of elements in the stabilizer of x. The orbit of x is the set of all elements that can be obtained from x by applying the action of G, and the stabilizer of x is the set of all elements of G that leave x unchanged.
Since each element of X belongs to exactly one orbit, there are a total of n orbits in X. For each orbit, we can either include all of the elements in the orbit in our G-subset or exclude all of the elements in the orbit. This gives us 2 options for each of the n orbits, so the total number of G-subsets of X is 2^n = 2n.
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Suppose we flip a fair coin repeatedly. Let xi equal 1 if flip i was heads (H) and 0 otherwise. Let N denote the number of flips needed until H has occurred 100 t imes. Is N independent of the random sequence X1, X2, ... ? Define Y = X1 + · · · + XN. Is Y an ordinary randommsum of random variables? What is the PMF of Y?
Answers
The PMF of Y is given by P(Y=k) = (k-1 choose 99) × (1/2)^k for k=100, 101, 102, ...
The number of flips needed until H has occurred 100 times is a random variable that we can denote by N. Since each flip is independent and has a probability of 1/2 of being heads, we can model N as a negative binomial random variable with parameters r=100 and p=1/2. That is, the probability mass function (PMF) of N is given by
P(N=k) = (k-1 choose r-1) × (1/2)^r × (1/2)^(k-r)
for k=r, r+1, r+2, ...
Now, let Y = X1 + X2 + ... + XN be the sum of the first N flips. Each Xi is either 0 or 1 with equal probability, so Y is a random sum of random variables. However, Y is not an ordinary random sum because the number of terms in the sum, N, is itself a random variable.
To find the PMF of Y, we need to consider all possible values of N and the corresponding probabilities. For each k = 1, 2, 3, ..., the probability that Y=k is
P(Y=k) = P(X1+X2+...+Xk-1=k-1) × P(N=k)
The first factor on the right-hand side is the probability that the sum of the first k-1 flips is equal to k-1. This is a binomial distribution with parameters n=k-1 and p=1/2, so we have
P(X1+X2+...+Xk-1=k-1) = (k-2 choose k-2) × (1/2)^(k-2) × (1/2)^0 = (1/2)^(k-2)
Substituting this into the expression for P(Y=k), we get
P(Y=k) = (1/2)^(k-2) × (k-1 choose r-1) × (1/2)^r × (1/2)^(k-r)
Simplifying, we obtain
P(Y=k) = (k-1 choose r-1) × (1/2)^k
for k=r, r+1, r+2, ...
Therefore, the PMF of Y is a negative binomial distribution with parameters r=100 and p=1/2
P(Y=k) = (k-1 choose 99) × (1/2)^k
for k=100, 101, 102, ...
Note that the support of Y is {100, 101, 102, ...}, so Y can take only integer values greater than or equal to 100.
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Question 10 of 10
What is the value of y?
604
12
12
80A
A
12
O A. 60°
O B. 120
O C. Cannot be determined
O D. 36
Answers
Answer:
A. 60°
General Formulas and Concepts:
Geometry
Equilateral Triangle - All side lengths and angles are equal to each otherStep-by-step explanation:
From the picture given, we see that all the side lengths are 12. Therefore, we can conclude that triangle ABC is an equilateral triangle.
Therefore, m∠y must equal 60°.
What is the result of factoring out the GCF from the expression (24 + 36)?
please i need help!
it is on PLATO
Answers
Answer:
I gues answer is 4( factor)
Rita draws an angle with a measure of 20 degrees. Which statement about Rita's angle
is true?
A It turns through 20 one-degree angles.
B
It turns through 20 360-degree angles.
C
It turns through one-twentieth of a circle.
D
It turns through one-twentieth of a protractor.
Answers
The statement "It turns through one-twentieth of a circle" is accurate. Then the correct option is C.
Given that:
Rita draws an angle with a measure of 20 degrees.
An angle is a unit of rotation created when two rays share the same vertex or endpoint. Since an angle is a measurement of rotation, it may also be measured in degrees. A circle has 360 degrees of arc.
360 degrees is the length of a circle's complete rotation. The rotation of one-twentieth (1/20) of a full revolution, or one-twentieth of a circle, is equivalent to a measurement of 20 degrees.
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2. If your gross biweekly salary is $3,290, then how much is your annual salary?
I
Answers
Answer:
Annual Salary = $85,540
Step-by-step explanation:
There are 52 weeks in a year.
If bi weekly salary is $3290
Then you get paid 26 times.
Therefore annual salary = 26 × 3290 =$85,540
Answer:
$78,960 is your annual salary
Step-by-step explanation:
By saying biweekly, if you mean that your gross salary for every two weeks is $3,290, then your annual salary will be roughly about $78,960
There are about 4 weeks in a month and you're getting your gross salary biweekly. So $3,290 times 2 equals $6,580. This is your monthly gross salary.
Now, multiply $6,580 times 12 to find out your annual salary because there are 12 months in a year. $6,580 times 12 equals $78,960. This is your annual salary
Hope this helps
Find the value of the expression f+ 4 1/ 2 for f = 2 Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
43/6
Step-by-step explanation:
Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations.
(a) The process standard deviation is 0.25, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.75 or greater than 10.25 ounces will be classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number.
Probability of a defect:
Number of defects:
Answers
The probability of a defect is 5.7330 x \(10^{-5}\) and the number of defects is 5.73.
To calculate the probability of a defect, we need to find the area under the standard normal curve that lies outside of the process control limits of 9.75 ounces and 10.25 ounces. We can use the standard normal distribution table to find this area.
First, we need to standardize the weight limits as follows -
\(Z_{lower}\) = (9.75 - 10) / 0.25 = -4
\(Z_{upper}\) = (10.25 - 10) / 0.25 = 4
Next, we will find the area under the standard normal curve that lies outside of these limits as follows -
P(Defect) = P(Z < -4) + P(Z > 4)
Using a standard normal distribution table, we can find that P(Z < -4) = 2.8665 x \(10^{-5}\) and P(Z > 4) = 2.8665 x \(10^{-5}\) .
So, the total probability of a defect is -
P(Defect) = 2.8665 x \(10^{-5}\) + 2.8665 x \(10^{-5}\) = 5.7330 x \(10^{-5}\)
Finally, we will find the number of defects for a 1,000-unit production run as follows -
The number of defects = 1000 * 5.7330 x \(10^{-5}\) = 5.73 (rounded to the nearest whole number).
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What is the length of a segment with endpoints at (-3, 4) and (4,4)?O A 1OoB. 4O C. 7dD. 8
Answers
Given:
the length of a segment with endpoints at (-3, 4) and (4,4)
Write the distance formula:
\(\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)Substitute (-3,4) and(4,4) into above equation as,
\(\begin{gathered} \sqrt[]{(4+3)^2+(4-4)^2}=\sqrt[]{7^2+0} \\ =\sqrt[]{49} \\ =7 \end{gathered}\)Hence, the required answer is 7.
What is the value of the expression 2z ÷ [z – (z – 4)] when z = 8?
Answers
2z ÷ [z – (z – 4)]
Sub z=8 into the expression
2(8) ÷ [8 – (8 – 4)] = 16 ÷ 4
= 4
what is the reciprocal for 4/9
Answers
Answer: 9/4
Step-by-step explanation:
Reciprocal means flip the fraction
The reciprocal of 4/9 is 9/4
Answer: the rciprocal is 9/4
Step-by-step explanation:
When given a set of cards laying face down that spell W, E, L, O, V, E, M, A, T, H, determine the probability of randomly drawing a vowel.
two fifths
two sixths
two tenths
four elevenths
Answers
Answer:
so the answer without simplifying is 4/9 but divided by two is 2/4.5 round up and thus the answer is 2/5
Step-by-step explanation:
count the letters
see how many Vowels are there
place in a fraction
simplify
Bob 's daily commute time is randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes, and the most common length is 30 minutes. What is the probability that his commute today took more than 35 minutes?
Answers
Answer:
0.6341 = 63.41% probability that his commute today took more than 35 minutes
Step-by-step explanation:
Randomly distributed = Uniform distribution.
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
\(P(X > x) = \frac{b - x}{b - a}\)
Randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes.
This means that \(a = 20, b = 61\).
What is the probability that his commute today took more than 35 minutes?
\(P(X > 35) = \frac{61 - 35}{61 - 20} = 0.6341\)
0.6341 = 63.41% probability that his commute today took more than 35 minutes
Can someone help me?
Answers
Answer:
\( log_{4}(3) ^{5} \)
Step-by-step explanation:
yeah-ya....... right?
Find the area of the shape shown below.
7
3
3
Answers
42 because 3x3=6 and 6x7=42
the bumper is at -1.6 units.
It is programmed to move -2.3units.
Where should the ball be placed?
Answers
If the bumper is at -1.6 units and It is programmed to move -2.3units. The bumper should be placed at -3.9 units
How to find the location of the bumperThe location of the bumper is calculated by the concept of addition that takes place when the two values has negative signs values.
The negative numbers are located by the left of zero on the number line. The two points are both negative and have the value of -1.6 units and -2.3 units
Summing the two units together will result to
= -1.6 units + (-2.3 units)
= -1.6 - 2.3
= -3.9 units
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Which Expressions Represent Area?
Answers
Answer:
Step-by-step explanation:
5 The temperature on Janice's birthday is -10.6°C. Which absolute value equation BEST describes how many degrees below 0°C the temperature is on Janice's birthday?
A) l–10.6l = 10
B) l–10.6l = –10.6
C) l–10.6l = –10
D) l-10.6l = 10.6
Answers
Find cos ø.
(Give your answer in lowest terms)
Answers
The value of cos ø, for the given coordinates (8, 6), is 4/5 in the lowest terms.
To find the value of cosine (cos) ø, we need the coordinates (8, 6) of a point on the unit circle.
The unit circle is a circle with a radius of 1, and the coordinates (8, 6) do not lie on the unit circle. However, we can use these coordinates to calculate the cosine value indirectly.
First, we need to find the hypotenuse (r) of the right triangle formed by the coordinates (8, 6). We can use the Pythagorean theorem:
r = √(8² + 6²) = √(64 + 36) = √100 = 10
Now, we can find the cosine value by dividing the adjacent side length (x-coordinate) by the hypotenuse:
cos ø = 8 / 10 = 4/5.
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Rewrite the expression in terms of the given function. (sec x - csc x) / (1 - tan x) in terms of sin x (sec x - csc x) / (1-tan x) =
Answers
The trigonometric expression (sec x - csc x) / (1 - tan x) is equivalent by trigonometric formulas and algebra properties to - sin x.
How to rewrite a trigonometric expression in terms of sine function
Herein we find a trigonometric expression that must be rewritten in terms of sin x by means of trigonometric formulas and algebra properties. The original expression is shown below:
(sec x - csc x) / (1 - tan x)
First, the original expression is written:
(sec x - csc x) / (1 - tan x)
Second, use the definitions of secant, cosecant and tangent:
[(1 / cos x) - (1 / sin x)] / [1 - (sin x / cos x)]
Third, use algebraic properties to simplify the expression:
[(sin x - cos x) / (sin x · cos x)] / [(cos x - sin x) / cos x]
[(sin x - cos x) · cos x] / [sin x · cos x · (cos x - sin x)]
- sin x
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Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded. Only values that satisfy y > 3x + 1 are solutions. Only values that satisfy y < 3x – 3 are solutions. Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions. There are no solutions.
Answers
There are no solutions to the system of inequalities Option (d)
Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.
A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is
y > 3x + 1
y < 3x - 3
The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.
The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.
Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.
To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.
When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.
There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.
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Complete Question :
Which is true about the solution to the system of inequalities shown?
y > 3x + 1
y < 3x – 3
On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.
Options:
a)Only values that satisfy y > 3x + 1 are solutions.
b)Only values that satisfy y < 3x – 3 are solutions.
c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
d)There are no solutions.
Answer:
D
Step-by-step explanation: