Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering
class must have a greater mean IQ score than that of entering classes from previous years. The
administrator tests a random sample of 17 of this year's entering students and finds that their mean IQ score
is 114, with a standard deviation of 15. The college records indicate that the mean IQ score for entering
students from previous years is 113.
Is there enough evidence to conclude, at the 0.05 level of significance, that the population mean IQ score, μ,
of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's
entering class are approximately normally distributed.
Perform a one-tailed test. Then complete the parts below.
(If Rococcan consult a list of

since i don't see the graph ill go with... B The slope of the line is 24, which means that the swimmer must complete 24 laps in the race.

-24/6 = -4

Step-by-step explanation:

The slope of the line can be found using the formula:

slope = (change in y) / (change in x)

In this case, we can use the two given points on the line: (0, 24) and (6, 0).

Change in y = 0 - 24 = -24

Change in x = 6 - 0 = 6

Therefore, slope = -24/6 = -4

This means that for every minute that passes, the swimmer completes four laps. The swimmer's pace is steady and consistent throughout the race, gradually decreasing the number of laps remaining until they finish at 0 after six minutes.

Answer:

The slope of the line represents the rate of change in the number of laps remaining per unit of time (in this case, per minute). In other words, it tells us how quickly the swimmer is completing laps.

Since the slope of the line is -4, this means that the swimmer is completing 4 laps every minute. This could be interpreted as the swimmer's pace or speed in the race. The negative sign indicates that the number of laps remaining is decreasing over time, which is expected as the swimmer completes more and more laps.

It's worth noting that the slope is constant throughout the race, meaning that the swimmer is maintaining a consistent pace. This information could be useful for the swimmer and their coach in terms of planning and pacing the race.

The simplified value of 8y + 4 - 3y + 12 is 5y+16

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. For example , 4x+5 , 2x²+2, 10y³+5y²+6

To simplify an expression means to write the expression Ina simpler form. for example 6y²+2y can be written as 2y( 3y+1)

Simplifying 8y + 4 - 3y + 12,

collecting like terms

8y-3y+4+12

= 5y+16

therefore the simplification of 8y + 4 - 3y + 12 is 5y+16

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Answer:

c 57

Step-by-step explanation:

Answer:

Let's denote the two legs of the right triangle as a and b, and the hypotenuse as c. We know that c = √41, so we can use the Pythagorean theorem to relate a and b to c:

c^2 = a^2 + b^2

Substituting c = √41, we get:

(√41)^2 = a^2 + b^2

41 = a^2 + b^2

We also know that the perimeter of the triangle is:

perimeter = a + b + c = 9 + √41

Substituting c = √41, we get:

a + b + √41 = 9 + √41

a + b = 9

Now we have two equations with two unknowns (a and b):

a^2 + b^2 = 41

a + b = 9

We can solve this system of equations by substitution. Solving the second equation for a, we get:

a = 9 - b

Substituting this into the first equation, we get:

(9 - b)^2 + b^2 = 41

81 - 18b + 2b^2 = 41

2b^2 - 18b + 40 = 0

b^2 - 9b + 20 = 0

(b - 4)(b - 5) = 0

So we have two possible solutions: b = 4 and b = 5. We can find the corresponding value of a using a = 9 - b:

a = 5 and b = 4 or a = 4 and b = 5

Therefore, the two legs of the right triangle are 4 and 5.

If circle with center N with m∠MNP=124 ∘ and MN=13,  the area of sector MNP is approximately equal to 194.86 square units.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360°) x πr²

Where r is the radius of the circle.

In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:

Area of sector = (124/360) x π(13)²

Area of sector ≈ 194.86

Therefore, the area of sector MNP is approximately equal to 194.86 square units.

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Answer: x < 5, see attached for the graph.

Step-by-step explanation:

   To solve, we will isolate the variable.

Given:

  5x - 15 < 10

Add 15 to both sides of the equation:

  5x < 25

Divide both sides of the equation by 5:

  x < 5

  For the graph, we will use an open circle because this is only less than (<), not less than and equal to.

  Then, since x is all values less than 5, we will shade our arrow to the left of 5. See attached.

The calculated area of this triangle is 43.50 sq units

From the question, we have the following parameters that can be used in our computation:

The triangle

The area of the triangle is calculated as

Area = 1/2 * Product of adjacent legs * sin of middle angle

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 12 * 8 * sin(65)

Evaluate

Area = 43.50

Hence, the area is 43.50 sq units

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Answer:

v=-5

Step-by-step explanation:

Answer:

[tex]23 = 10v - 7 \\ 23 + 7 = 10v \\ 30 = 10v \\ v = 3 \\ \\ [/tex]

Answer: Everyone in your population must have an equal, non-zero chance of being selected. (In other words, everyone has an equal chance of receiving a survey.) You must know, specifically, what that chance of being selected is for each person.

length, l=16in

width, b=13in

thickness, t=3in

To Find:-

Area of wrapping paper required.

Explanation:-

Since, wrapping paper is to be wrapped over the whole rectangular box.Therefore, we have to calculate the total surface area of the rectangular box.



Therefore, 590 of paper is required to wrap the whole rectangular box.

Answer: 76 cubic feet

Step-by-step explanation:

Think about breaking it into two rectangular prisms:

Total volume = Volume of longer prism + volume of shorter prism

Total volume = 8x4x2 + 2x2x3

Total volume = 76 cubic feet

Answer:

  128

Step-by-step explanation:

You want a prediction for x=2 when the given data is modeled by an exponential model.

A graphing calculator's exponential regression function models this data with the formula ...

  y = 135.7 · 0.9711^x

  y = 137.7 · 0.9711^2 ≈ 127.94 . . . . when x=2

This model gives a value for variable 2 of approximately 128 when variable 1 = 2.

<95141404393>

Answer: 0.8958

Step-by-step explanation:

It is cheaper to buy 18-kilogram bag of soil. The cost of the 18-kilogram is $10 and the cost of the cost of the other option is $12.

Cost of buying 18,000 grams of soil using the 4500 gram bag = (18,000 / 4,500) x $3 = $12

The second step is to convert 18 kilogram to grams.

1 kg = 1000 grams

18 x 1000 = 18,000 grams

18,000 grams cost $10.

Thus, it is cheaper to buy 18-kilogram bag of soil.

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Answer:

4 minutes and 44 seconds.

Katrina will need 24 bricks to build the wall around her backyard.

We have,

To determine the number of bricks needed for the wall, we need to divide the total length of the wall (432 inches) by the length of each brick (18 inches):

So,

Number of bricks = Total length of the wall / Length of each brick

Number of bricks = 432 inches / 18 inches

Number of bricks = 24 bricks

Therefore,

Katrina will need 24 bricks to build the wall around her backyard.

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The complete question:

Katrina is building a wall around her backyard using bricks that are 18 inches long. The wall needs to be 36 feet, or 432 inches, long.

Find the number of bricks needed to build around he backyard.

Answer:

To find the missing side of a right triangle given an angle and a side, you can use trigonometric functions. In this case, we have the angle opposite the missing side, so we can use the sine function.

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, we can set up the following equation:

sin(34°) = opposite / 12

To solve for the opposite side, we can multiply both sides by 12:

opposite = 12 * sin(34°) ≈ 6.60

Therefore, the missing side of the triangle is approximately 6.60 units long.

Step-by-step explanation:

1. When people find themselves in an unfamiliar environment, it is common to feel vulnerable, lonely, and uncertain.

2. Globalization can change the mix of customers and products for an organization by creating new markets and opportunities for growth.

3. You can improve your GQ by practicing mindfulness and meditation

Businesses may need to concentrate on creating new goods and services that appeal to a global market as well as modifying their business models to satisfy the needs of clients in various regions of the world if they want to be leaders in the organization's future state.

In order for them to be more adaptable and receptive to changes in the global marketplace, they might also need to invest in technology and tactics.

Globalization can significantly impact an organization's mix of customers and products. The organization must adapt to this by investing in research and development to create new products.

By applying mindfulness, the GQ can be adequately raised for the organization.

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The requreid Mona's phone call was 13 minutes long.

Let's let the variable "m" represent the length of the phone call in minutes.

We know that Mona pays $1.00 for the first call of the day plus $0.15 per minute of the call. So the total cost of the call can be represented by the expression:

$1.00 + $0.15m

We also know that Mona paid $2.95 for her first call today. So we can set the expression for the total cost of the call equal to $2.95:

$1.00 + $0.15m = $2.95

To solve for the length of the call in minutes, we can first subtract $1.00 from both sides of the equation:

$0.15m = $1.95

Then we can divide both sides by $0.15:

m = 13

Therefore, Mona's phone call was 13 minutes long.

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The inequality is -8 < √74  < 9. A mathematical expression that's values on the left and right are not equal is referred to as having an inequality.

A mathematical expression that's values on the left and right are not equal is referred to as having an inequality. In essence, an inequality analyses any two values that demonstrates whether one is bigger than, less than, or neither greater nor equal to the other quantity. Numbers are compared using inequalities to determine a range of quantities that are contained inside the parameters of a variable.

Let A = √74

A² = 74

8² < A² < 9²

Hence, the inequality is -

8 < √74  < 9

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Based on the information regarding the data, B. Mike burns more calories per minute than Anna

The calorie consumption of Mike was between 12.5 and 16.67, averaging out at nearly 13.75 per minute.

In contrast, Anna burned around 13.33 each minute.

So the answer is B - Mike burns more calories per minute than Anna.

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Answer:

188.5 ft

Step-by-step explanation:

One Circle = perimeter

= 2 nr

= 2 x 3.14 x 30

= 188.5 ft

log(75) = log( 3 • 5 • 5 )

           = log(3) + log(5) + log (5)

           = s + t + t

           = s + 2t

To go from log( 3 • 5 • 5 ) to log(3) + log(5) + log (5), we use the log rule that says log( a • b ) = log(a) + log(b).

Since the waiting times are uniformly distributed between 0 and 7 minutes, the probability density function (PDF) of the waiting time is:

f(x) = 1/7 for 0 ≤ x ≤ 7

0 otherwise

To find the probability that the waiting time is less than 0.75 minutes, we need to integrate the PDF from 0 to 0.75:

P(X < 0.75) = ∫[0,0.75] f(x) dx

P(X < 0.75) = ∫[0,0.75] 1/7 dx

P(X < 0.75) = [1/7 * x] [0,0.75]

P(X < 0.75) = 1/7 * 0.75

P(X < 0.75) = 0.1071

Therefore, the probability that the waiting time is less than 0.75 minutes is 0.1071 (rounded to three decimal places).

Answer: $9,000 is invested in the 5% bond, and $24,000 is invested in the 6.5% bond.

Step-by-step explanation: x + y = 33,000 (the full sum contributed)

We too know that the yearly intrigued earned is $2,010.00, which is the whole of the intrigued earned from each bond. Utilizing the equation for basic intrigued:

intrigued = principal x rate x time

ready to calculate the intrigued earned from each bond:

0.05x (for the 5% bond)

0.065y (for the 6.5% bond)

So we have another condition:

0.05x + 0.065y = 2,010

Presently we have two conditions with two factors, which we are able illuminate utilizing substitution or end.

Let's utilize substitution:

x + y = 33,000 --> y = 33,000 - x

0.05x + 0.065y = 2,010 --> 0.05x + 0.065(33,000 - x) = 2,010

Streamlining:

0.05x + 2,145 - 0.065x = 2,010

-0.015x = -135

x = 9,000

So the sum contributed within the 5% bond is $9,000, and the sum contributed within the 6.5% bond is:

y = 33,000 - x = 33,000 - 9,000 = $24,000

Answer:

Step-by-step explanation:

20.9 is solution

Answer:

not sure sorry -(1,0)and (2,0)