Which numbers are perfect squares? Check all that apply.

The number of incoming students at two campuses of a midwestern university have historically been normally distributed. The main

tigry1 [53]

Answer:

Due to the higher z-score, the regional campus had the more successful year in student recruitment.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The main campus incoming class has a mean of 3,507 and a standard deviation of 375. There were 3,838 incoming students on the main campus.

We have to find Z, considering $X = 3838, \mu = 3507, \sigma = 375$

So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3838 - 3508}{375}$

$Z = 0.88$

Regional campus incoming class has a mean of 740 and a standard deviation of 114. 848 students on the regional campus.

We have to find Z when $X = 848, \mu = 740, \sigma = 114$ .

So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{848 - 740}{114}$

$Z = 0.95$

Which had the more successful year in student recruitment based on z scores?

Due to the higher z-score, the regional campus had the more successful year in student recruitment.

3 0

2 years ago

The length of the hypotenuse (x) is an irrational number

AveGali [126]

Answer:

6and8

Step-by-step explanation:

I took the quiz you know yeah

6 0

3 years ago

The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a

Alina [70]

Answer:

b= - 1.26317

a = 17.237

b. The selling price (in dollars) of a 7-year-old car

y = 8394.81 dollars

C. For each additional year, the car decreases $ ___ in value.

1263.17 $ decreases per year

Step-by-step explanation:

Let y be the selling price in thousands and x be the age in years

Car Age Selling Price

(years) ($000) XY X²

X Y

1 9 11.1 99.9 81

2 5 9.5 47.5 25

3 13 4.4 57.2 169

4 17 4.4 74.8 289

5 7 8.06 56.42 49

6 1 2.07 2.07 1

7 1 0.6 0.6 1

8 14 8.1 113.4 196

9 12 8.1 97.2 144

10 17 4.8 81.6 289

11 4 12.5 50 16

The estimated regression line of Y on X is

Y= a +bX

and the two normal equations are

∑ y= na + b∑X

∑XY= a∑X + b∑X²

Now

X`= ∑X/n = 97/12= 8.083

b= n∑XY - (∑X)(∑Y)/ n∑ X²- (∑X)²

b= 723.49 - (97)(84.33)/ 12(1276) - (97)²

b= -7456.52/ 5903

b= - 1.26317

a= Y`- b X`

a= 7.0275 - (-- 1.26317)8.083

a = 17.237

Y = 17.237 - 1.26317 X

y= - 1.26317 X + 17.237

b. The selling price (in dollars) of a 7-year-old car

y = - 1.26317 (7) + 17.237

y= 8.39481

y = 8394.81 dollars

C. For each additional year, the car decreases $ ___ in value.

1.26317 *1000= 1263.17 $ decreases per year

4 0

3 years ago

In how many orders can four girls and four boys walk through a doorway single file if

RideAnS [48]

Answer:

(a) 40,320

(b) 576

Step-by-step explanation:

(a) We are asked to find the number of orders in which four girls and four boys can walk through a doorway single file if there are no restrictions.

Since there are 8 people in total, so they can walk in 8! ways.

$8!=8\cdot7\cdot6\cdot5\cdot4\cdot 3 \cdot 2\cdot1=40,320$

Therefore, four girls and four boys walk through a doorway single file in 40,320 ways.

(b) To find the number of ways in which four girls and four boys can walk through a doorway single file if the girls walk through before the boys.

The total number of ways would be equal to product of 4 girls walking first and 4 boys walking after.

4 girls can walk first in 4! ways and boys can walk after in 4! ways as well.

$4!\cdot 4!=4\cdot 3\cdot 2\cdot 1\cdot 4\cdot 3\cdot 2\cdot 1=576$

Therefore, four girls and four boys can walk through a doorway single file if the girls walk through before the boys, in 576 ways.

7 0

3 years ago

A pizza restaurant offers 21 different toppings how many 5 toppings pizzas can be created if each topping can be used only once

galina1969 [7]

105 different combination pizzas can we created

3 0

3 years ago

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