A meteorologist records the temperatures throughout the day in Chicago, Illinois. The table shows the different temperatures. Which statement compares the temperature at 8:00 a.m. to the temperature at 8:00 p.m. correctly?

A Meteorologist Records The Temperatures Throughout The Day In Chicago, Illinois. The Table Shows The

Answers

Answer 1

Answer:

The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m. because 15 is farther to the right on a horizontal number line than -12.

Step-by-step explanation:

Answer 2

The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m. because 15 is farther to the right on a horizontal number line than -12. Therefore, option B is the correct answer.

Given that, a meteorologist records the temperatures throughout the day in Chicago, Illinois.

What is an Integer?

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

Compare the temperature at 8:00 a.m. to the temperature at 8:00 p.m.

Here,

The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m.

The difference between the temperatures is 15-(-12)=27° C

The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m. because 15 is farther to the right on a horizontal number line than -12. Therefore, option B is the correct answer.

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Related Questions

Solve for a : |a|=10.
a = ____ . ____
Get Help: Video eBook Written Example
Points possible: 2
This is attempt 1 of 3 .

Solve for a : |a|=10.a = ____ . ____Get Help: Video eBook Written ExamplePoints possible: 2This is attempt

Answers

The absolute value expression |a| = 10 has a value of 10

How to determine the solution to the expression?

From the question, the expression is given as

|a| = 10

Also, from the question;

We are to solve the expression for a

The expression is an absolute value expression

This means that the variable a can be positive or negative, but the result is always positive

Using the above as a guide, we have

a = 10 or a = -10

This is so because

|10| =10 and |-10| = 10

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Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.

A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)

Answers

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

PLS, NO LINKS, AND NO FILES PLS. A paint can has a diameter of 17 centimeters and a height of 24 centimeters. How many cubic centimeters of paint will fill the can? 7,686.72 cm 3 21,779.04 cm 3 5,444.76 cm 3 1,281.12 cm 3

Answers

5,44.76 is the answer Hope it helps I did the lesson and got it right.

The volume of the paint tank will be equal to 544.752 cubic cm.

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube.

The given data is:-

Paint can have a diameter of 17 centimetres and a height of 24 centimetres.

The volume of the tank will be:-

V  =  ( π / 4 ) d² l

V  =  ( π / 4 ) ( 17 x 17 ) 24

V  =  5447.52 cubic cm

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If the graph of a distribution of data shows that the graph is symmetric then the:
a) Midrange is a better measure of central tendency
b) Mean is a better measure of central tendency
c) Mode is a better measure of central tendency
d) Median is a better measure of central tendency

Answers

The correct option is:

d) Median is a better measure of central tendency

When a graph of a distribution of data is symmetric, it means that the left and right sides of the graph are mirror images of each other. This indicates that the data is evenly distributed around the center and that there are no extreme outliers. In such cases, the median is the best measure of central tendency, because it is the middle value of the dataset and it represents the center of the data distribution. The median is not affected by outliers.

The mean, mode, and midrange are also measures of central tendency, but they may not be as representative of the center of the data distribution when the data is symmetric. The mean is sensitive to outliers, the mode is the value that appears most frequently in the data, and the midrange is the average of the maximum and minimum values.

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Find the length of side X in simple radical form with a rational denominator

Answers

The length of side X in simple radical form with a rational denominator is 25/√3.

What is a 30-60-90 triangle?

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Find the length of side X in simple radical form with a rational denominator

who is right andrew or annie?

who is right andrew or annie?

Answers

Answer:

andrew

Step-by-step explanation:

honey is a technology company that provides online coupons to its subscribers. honey's analytics staff has developed a classification method to predict whether a customer who has been sent a coupon will apply the coupon toward a purchase. for a sample of customers, the following table lists the classification model's estimated coupon usage probability for a customer. for this particular campaign, suppose that when a customer uses a coupon, honey receives $1 in revenue from the product sponsor. to target the customer with the coupon offer, honey incurs a cost of $0.05. honey will offer a customer a coupon as long as the expected profit of doing so is positive. using the equation

Answers

All customers, with the exception of customer 4, should receive coupons due to the probability that different consumers may use them.

Given that,

Probability of Customer Using Coupon

1- 0.47

2- 0.35

3- 0.27

4- 0.03

5- 0.08

We have to identify the anticipated profit for each client. Answers should be rounded to the closest cent. If applicable, enter a negative value as a negative number.

If users use the coupons, Honey will profit as follows:

= Revenue - Cost

= 1 - 0.05

= $0.95

If the coupon is not used, the cost of $0.05 becomes the profit.

Customer 1 expected profit:

= P(coupon used) × Profit if coupon used + (1 - P(coupon used)) × Profit if coupon not used

= (0.47 x 0.95) + ( (1 - 0.47) x -0.05)

= $0.42

Customer 2 expected profit:

= (0.35 x 0.95) + ( (1 - 0.35) x -0.05)

= $0.30

Customer 3 expected profit:

= (0.27 x 0.95) + ( (1 - 0.27) x -0.05)

= $0.22

Customer 4 expected profit:

= (0.03 x 0.95) + ( (1 - 0.03) x -0.05)

= -$0.02

Customer 5 expected profit:

= (0.08 x 0.95) + ( (1 - 0.08) x -0.05)

= $0.03

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Which of the following best describes the lines y-3x=4x and 6-2y=8x
○perpendicular
○parallel
○skew
○intersecting

Answers

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

If the lines are perpendicular, parallel, or intersecting, they are not skew.  Thus, we need to check if the lines can be classified as either perpendicular, parallel, or intersecting first.  If the lines are classified as neither, then they are skew.

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

m is the slope,and b is the y-intercept.

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

The slopes of perpendicular lines are negative reciprocals of each other.  

We can show this in the following formula:

m2 = -1 / m1, where

m1 is the slope of one line,and m2 is the slope of the other line.

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

The intersection point of two lines have the same x and y coordinate.  To determine if the two lines intersect, we treat them like a system of equations.

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

add the two equations, eliminate the ys, and solve for x:

-1 (y = 7x)

-y = -7x

----------------------------------------------------------------------------------------------------------

    -y = -7x

+

    y = -4x + 3

----------------------------------------------------------------------------------------------------------

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Select the table that represents a linear function. (Graph them if necessary.)

Select the table that represents a linear function. (Graph them if necessary.)

Answers

Step-by-step explanation:

any linear function represents a straight line (hence the name) and is therefore of the structure

y = f(x) = ax + b

"a" is the slope of the line, and it is represented by the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another point.

"b" is the y-intercept (the y-value when x = 0).

so, let's look at the answer options :

A.

x = 0 gives us b (the y value) : 2

so, then for x = 1, y = 3 ?

3 = a×1 + 2

a = 1

now, the next point must be also on the same line for the whole function to be linear (and that means the equation has to be true for all numbers involved) :

x = 2, y = 6

6 = 1×2 + 2 = 4

6 is for sure NOT 4, so this is not a linear function.

it is actually y = x² + 2

B.

x = 0 gives us b : 1

for x = 1, y = 3 ?

3 = a×1 + 1

a = 2

again, the next point must be on the same line :

x = 2, y = 9

9 = 2×2 + 1 = 5

9 is for sure NOT 5, so this is not a linear function.

it is actuality y = 3^x.

C.

x = 0 gives us b : 0

for x = 1, y = 1 ?

1 = a×1 + 0 = a

a = 1

the next point :

x = 2, y = 4

4 = 1×2 = 2

4 is for sure NOT 2, so this is not a linear function.

it is actually y = x².

D.

x = 0 gives us b : 3

for x = 1, y = 9

9 = a×1 + 3

a = 6

the next point(s) must fit :

x = 2, y = 15

15 = 6×2 + 3 = 12 + 3 = 15

correct

x = 3, y = 21

21 = 6×3 + 3 = 18 + 3 = 21

correct

yes, this is a linear function.

it is y = 6x + 3

Graph the solution to the equations below. y = 1 4 x + 2 and y = −2x −7

Answers

??? Where’s the problem?

Find the probability that a randomly selected point within the square falls in the red-shaded triangle. 3 3 4 P = [?] 4

Answers

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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If the computed minimum sample size n needed for a particular margin of error is not a whole number, round the value of n (up or down) to the next (smaller or larger) whole number.
a) down; smaller
b) down; larger
c) up; larger
d) up; smaller

Answers

Answer:

The correct option is c.

Step-by-step explanation:

The margin of error is the range of values lower than and more than the sample statistic in a confidence interval. It is the number of percentage point by which the sample result will differ from the population result.

The general formula to margin of error is:

\(MOE=CV\times\frac{SD}{\sqrt{n}}\)

Here,

CV = critical value

SD = standard deviation

n = sample size

Now, if the computed minimum sample size needed for a particular margin of error is not a whole number, then round the value of n up to the next larger whole number.

Thus, the correct option is c.

Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas.

Answers

The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

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what is a corresponding side in any shape​

Answers

Answer:

a corresponding side is a pair of matching sides that are in the same spot of two different shapes. The shapes must be either congruent or similar.

Step-by-step explanation:

12/sqrt2 + sqrt18 in the form bsqrt2 where b is an integer

Answers

Answer:

\( \sqrt[15]{2} \)

Step-by-step explanation:

\( \sqrt[12]{2} + \sqrt{18} \)

\( \sqrt[12]{2} + \sqrt[3]{2} \)

\( \sqrt[15]{2} \)

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HELPP!!!
The area of the figure is ____ square units.

HELPP!!!The area of the figure is ____ square units.

Answers

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Multiple choice: which function has an amplitude of 5 and a period of π/3 ?
A) f(x)=5 cos 6x

B) f(x)=1/5 cos6x

C) f(x)=5 cos 2/3 x

D) f(x)=3 cos5x

Answers

The correct answer is C) f(x) = 5 cos 2/3 x, as it has an amplitude of 5 and a period of π/3. To determine which function has an amplitude of 5 and a period of π/3, we need to analyze the properties of the trigonometric functions presented in the options.

The general form of a cosine function is f(x) = A cos(Bx), where A represents the amplitude and B represents the frequency or period of the function.

Option A) f(x) = 5 cos 6x: This function has an amplitude of 5, but its period is 2π/6, which is not equal to π/3. So, this option is not the correct answer.

Option B) f(x) = 1/5 cos 6x: This function has an amplitude of 1/5, which is not 5 as required. Therefore, this option is not the correct answer.

Option C) f(x) = 5 cos 2/3 x: This function has an amplitude of 5, which matches the given condition. Moreover, its period is 2π/((2/3)x) = π/3, which is the desired period. Hence, this option satisfies both conditions.

Option D) f(x) = 3 cos 5x: This function has an amplitude of 3, which is not 5 as required. Thus, this option is not the correct answer.

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Using 50 random numbers given below, compute the mean and standard deviation. 0.937776 0.270012 0.243785 0.590701 0.824982 0.131805 0.879337 0.741998 0.254683 0.080259 0.419321 0.928220 0.958430 0.980182 0.263900 0.063119 0.762096 0.485612 0.662900 0.362242 0.724796 0.307736 0.305021 0.417052 0.054337 0.323357 0.069662 0.843387 0.353107 0.074262 0.735596 0.175095 0.390508 0.668932 0.029861 0.205228 0.387740 0.962169 0.646565 0.423914 0.754782 0.156719 0.773113 0.546335 0.323573 0.649740 0.214082 0.382383 0.383982 0.030539 Mean = (to 6 decimals) Standard deviation = (to 6 decimals)

Answers

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

How to Solve the Problem?

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000

Answers

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

F(x) = -3x-3 g(x) =2x^3+2
Find f(6) and g(-3)

Answers

Answer:

\(f(6)=-21\\\\g(-3)=-52\)

Step-by-step explanation:

When given the following two functions,

\(f(x) =-3x-3\\g(x)=2x^3+2\)

One is asked to evaluate the functions for, (f(6)) and (g(-3)). One can do this by substituting the values (6) into the function (f) and (-3) into the function (g). These values will replace the parameter (x).

\(f(6)=-3(6)-3\\\)

Simplify,

\(f(6)=-18-3\\f(6)=-21\)

Now repeat this process for the guncion (g(x)) to evaluate for (g(-3))

\(g(-3)=2(-3)^3+2\)

Simplify,

\(g(-3)=2(-27)+2\\g(-3)=-54+2\\g(-3)=-52\)

Unit test Which of the x-values are solutions to the following inequality? 2 > 111​

Unit test Which of the x-values are solutions to the following inequality? 2 > 111

Answers

Answer: C

Step-by-step explanation: It is C because X is greater than (>) 111, and 119 is greater than 111. Good luck on the test!  

What is the meaning of "Klein four-group (Viergruppe) V4"?

What is the meaning of "Klein four-group (Viergruppe) V4"?

Answers

The vierergruppe is the Abelian abstract group on four elements that is isomorphic to the finite group C2×C2 and the dihedral group. The multiplication table of one possible representation is illustrated below. It can be generated by the permutations 1, 2, 3, 4, 2, 1, 4, 3, 3, 4, 1, 2, and 4, 3, 2, 1.

Answer:

It was named Vierergruppe (meaning four-group) by Felix Klein in 1884. It is also called the Klein group, and is often symbolized by the letter V or as K4. The Klein four-group, with four elements, is the smallest group that is not a cyclic group.

100 Points and Brainliest
Given the following function equations, state all of the transformations present on the graph of f(x)

4f(x-1)
-f(2x)
f(-x)+2

100 Points and BrainliestGiven the following function equations, state all of the transformations present

Answers

Answer:

Step-by-step explanation:

If x

1

=2 ,y

1

=

16

3

dx

dy

=(2.2

−2x

−2

−x

)ln2

(

dx

dy

)

x=2

=

8

1

4

1

=−

8

1

ln2=m

(x−x

1

)m=y−y

1

(x−2)(−

8

1

ln2)=y−

16

3

(2ln2)x+16y−3−4ln2=0 is the tangent at the point with abscissa  

2

The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?

Answers

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Given a quadratic equation, how can you determine whether the parabola opens up or down?

Answers

Answer:

if the x^2 part is negative then the parabola opens upward, but if it's negative then it will open downwards.

Step-by-step explanation:

Given a quadratic equation, the way to determine whether the parabola opens up or down is that;

Opens up is leading coefficient is greater than zero and opens down if leading coefficient is less than zero.

The general form of a quadratic equation is;

y = ax² + bx + c

Where c is the y-intercept

Now, when dealing with quadratic equations, the way to know if the parabola will open upwards or downwards is that;

If the leading coefficient which is the value of a is greater than zero, then the parabola will open upwards.

However, if the leading coefficient which is that value of a is negative, then the parabola will open downwards.

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An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000 with a standard deviation of o-$250
distribution of loss is strongly right-skewed: Many policies have $0 loss, but a few have large losses.
If we create a sampling distribution with a sample of 64 homeowners, what is the z-score that corresponds to a sample average of $5100?
Round to four decimals
Type your answer.
1 point

An insurance company claims that in the population of homeowners, the mean annual loss from fire is u-$5000

Answers

Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Mr. White drives 55 km a day for work. How many km will he drive in:
a. 5 days?
b. 8 days?
c. 15 days?
d. Write an expression to represent the number of km he will drive in d days

Answers

a. 5 days: 275 km (55 x 5)
b. 8 days: 440 km (55 x 8)
c. 15 days: 825 km (55 x 15)
d. km = 55d (km = 55 x d)

The probability that a high school senior wins a prestigious scholarship is 0.13. The probability that a high school senior plays a varsity sport is 0.22 . If the probability that someone plays a varsity sport given that they won the scholarship is 0.55 , then what's the probability that someone wins the scholarship given that they play a varsity sport?

Answers

Answer:

0.325

Step-by-step explanation:

Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport

Given

P(A) = 0.13P(B) = 0.22P(plays a varsity sport given that they won the scholarship)
= P(B|A) = 0.55We are asked to find P(wins the scholarship given play a varsity sport) = P(A|B)

The formula for conditional probability is
\(P(A|B) = \dfrac{P(A \cap B)}{P(B)}\\\\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)}\)where P(A ∩ B) is the probability of both A and B occurring togetherRewriting the above two equations we get
\(P(A \cap B) = P(A|B)P(B) = P(B|A)P(A)\)
→  \(P(A|B)P(B) = P(B|A)P(A)\)
Plugging in known probabilities,
\(P(A|B) (0.22) = P(0.55)(0.13)\)
\(\begin{aligned}P(A|B) & = \dfrac{0.55 \times 0.13}{ 0.22 }\\& = 0.325\end{aligned}\)

Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325


in a typical bag of skittles, the ratio of red to yellow skittles is 3 to 7. If there are 40 skittles altogether, how many red skittles are there?

Answers

Answer: There will be 12 red skittles and 28 yellow ones.

Step-by-step explanation:

Basically what the problem means is that for every 3 red skittles, there will be 7 yellow ones. Since 7 and 3 add up to ten, all you have to do is multiply both numbers times 4 to keep the ratio.

What point lies on the graph y=x2-5

Answers

The point (0, -5) lies on the graph of the quadratic equation y = x² - 5. The shape of the graph is a parabola.

How to solve an equation?

An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.

The equation y = x² - 5 represents a quadratic equation. A quadratic equation have the shape of a parabola.

When x = 0;

y = 0² - 5

y = -5

The point (0, -5) lies on the graph of y = x² - 5

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What point lies on the graph y=x2-5
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