The number of incoming students at two campuses of a midwestern university have historically been normally distributed. The main campus incoming class has a mean of 3,507 and a standard deviation of 375, and the regional campus incoming class has a mean of 740 and a standard deviation of 114. If there were 3,838 incoming students on the main campus and 848 on the regional campus, which had the more successful year in student recruitment based on z scores

Answers

Answer 1

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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 [tex]X = 3838, \mu = 3507, \sigma = 375[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3838 - 3508}{375}[/tex]

[tex]Z = 0.88[/tex]

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 [tex]X = 848, \mu = 740, \sigma = 114[/tex].

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{848 - 740}{114}[/tex]

[tex]Z = 0.95[/tex]

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.


Related Questions

5(x + 7) = 15
what is the value of x

Answers

Step-by-step explanation:

5(x + 7) = 15

x+7=3

x=-4!!!!!!

Answer:

x = -4

Step-by-step explanation:

Solve for x

5 ( x + 7 ) = 15

Divide each side by 5

5( x + 7 ) ÷ 5 = 15 ÷ 5x + 7 = 3

subtract 7 from both side

x + 7- 7 = 3 - 7x = -4

please help me please help me please help me please help me please help me please help me please​

Answers

Answer:

2025 is not a perfect cube

2025 if not a perfect cube.

Let A = { 1 , 4 } and B = { 2 , 3 , 5 }.Find × and find the number of relations from A to B

Answers

Given:

The two sets are:

[tex]A=\{1,4\}[/tex]

[tex]B=\{2,3,5\}[/tex]

To find:

The [tex]A\times B[/tex] and the number of relations from A to B.

Solution:

If A and B are two sets, then

[tex]A\times B=\{(x,y)|x\in A, y\in B\}[/tex]

We have,

[tex]A=\{1,4\}[/tex]

[tex]B=\{2,3,5\}[/tex]

Then,

[tex]A\times B=\{(1,2),(1,3),(1,5),(4,2),(4,3),(4,5)\}[/tex]

If number of elements in set A is m and the number of element in set B is n, then the number of relations from A to B is [tex]2^{m\times n}[/tex].

From the given sets, it is clear that,

The number of elements in set A = 2

The number of elements in set B = 3

Now, the number of relations from A to B is:

[tex]2^{m\times n}=2^{2\times 3}[/tex]

[tex]2^{m\times n}=2^{6}[/tex]

[tex]2^{m\times n}=64[/tex]

Therefore, the required relation is [tex]A\times B=\{(1,2),(1,3),(1,5),(4,2),(4,3),(4,5)\}[/tex] and the number of relations from A to B is 64.

Hi if you have a 65% grade can a 80% bring it up to a C 70%

Answers

Answer:

Ask your Teacher if you are missing any work and if you are do it and do some things for extra credit

Step-by-step explanation:

Answer: yes,it depends on the points

if you have 65% and you score a 80 on a 45 point assingment it can go up to a c

+ep explanation:

A large population has skewed data with a mean of 70 and a standard deviation of 6. Samples of size 100 are taken, and the distribution of the means of these samples is analyzed. a) Will the distribution of the means be closer to a normal distribution than the distribution of the population?
b) Will the mean of the means of the samples remain close to 70?
c) Will the distribution of the means have a smaller standard deviation?
d) What is that standard deviation?
a. Yes.
b. Yes.
c. Yes.
d. 0.6.

Answers

Answer:

a) Yes

b) Yes

c) Yes

d) 0.6

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

A large population has skewed data with a mean of 70 and a standard deviation of 6.

This means that [tex]\mu = 70, \sigma = 6[/tex]

Samples of size 100

This means that [tex]n = 100[/tex]

a) Will the distribution of the means be closer to a normal distribution than the distribution of the population?

According to the Central Limit Theorem, yes.

b) Will the mean of the means of the samples remain close to 70?

According to the Central Limit Theorem, yes.

c) Will the distribution of the means have a smaller standard deviation?

According to the Central Limit Theorem, the standard deviation of the population is divided by the sample size, so yes.

d) What is that standard deviation?

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{100}} = \frac{6}{10} = 0.6[/tex]

So 0.6.

A jacket costs $154.85. There is a 45% discount. What is the new price of the jacket.

A.) $68.68
B.) $85.17
C.) $224.53

Answers

b is is the best answer :) good luck

Answer:

B) $85,167

Step-by-step explanation:

u got discount 45% so u just have to pay 55% of it

cost = 55% x $154,85 = $85,1675

09:30 to 17:00 minus 30 minutes
How many hours is that ?

Answers

Answer:

7 hours

Step-by-step explanation:

9 : 30 to 17:00 = 7 hours 30 minutes

Minus 30 minutes = 7 hours

A parallelogram has base (2x - 1) metres and height (4x - 7) metres.
The area of the parallelogram is 1 m?.
(1) Show that 4x? - 9x + 3 = 0.
Answer (a)(i)
(*) Solve the equation 4x² – 9x + 3 = 0.
Show all your working and give your answers correct to 2 decimal places.

Answers

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

(9 + 5.7445626) / 8 = 1.843

The equation represents the total resistance, r, when two resistors
whose resistances are r1 and r2 are connected in parallel. Find the total
resistance when r1 is x and r2 is x + 1.

Answers

Answer:

[tex]R = \frac{x(x+1)}{2x+1}[/tex] --- total resistance

Step-by-step explanation:

Given

[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]

Required

Find R when

[tex]R_1 = x[/tex]

[tex]R_2 = x+1[/tex]

So, we have:

[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]

Substitute values for both R's

[tex]\frac{1}{R} = \frac{1}{x} + \frac{1}{x+1}[/tex]

Take LCM

[tex]\frac{1}{R} = \frac{x+1+x}{x(x+1)}[/tex]

Collect like terms

[tex]\frac{1}{R} = \frac{x+x+1}{x(x+1)}[/tex]

[tex]\frac{1}{R} = \frac{2x+1}{x(x+1)}[/tex]

Inverse both sides

[tex]R = \frac{x(x+1)}{2x+1}[/tex]

Which fact is not used to prove that ABC is similar to DBE?

Answers

I think the answer is C because AB is not a transversal
⟟ think it’s C I’m sorry if it’s wrong

A bus takes 45 minutes to travel 48 kilometres. What is its average
speed?

Answers

Answer:

64km/h

Step-by-step explanation:

Average speed= 48km÷45 minutes

= 48km÷0.75h

= 64km/h

Question number 7 only

Answers

Answer:

the answer is (4)

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6x = 1/2(2x + 5)
Solve for x step by step
Please answer quickly

Answers

Answer:

x = 1/2

hope it helps

have a nice day

Answer:

maybe  x=3.5

Step-by-step explanation:

6x= 1/2 (2x+5)

we take the 1/2 and distribute it into (2x+5) so we end up with

6x= 1x (or just x) + 2.5

We subtract 2.5 from both sides of the equation and we end up with

3.5x= 1x

we then need to isolate the x, so we divide both sides of the equation by x

and then we end up with

3.5= x/x, which ends up just being

3.5=x

The recursive formula for a geometric sequence is:
(a, = 5
[an = ans (3)
What is the 3rd term of this sequence?
A. 125
B. 11
C. 45
D. 15

Answers

9514 1404 393

Answer:

 C.  45

Step-by-step explanation:

Apparently, your recursive definition is ...

  [tex]a_1=5\\a_n=a_{n-1}\cdot3[/tex]

Each term is 3 times the previous one, so the sequence starts ...

  5, 15, 45, 135, 405, ...

The 3rd term is 45.

A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the
and replaces it back in the bag. He mixes the balls in the bag and then picks another
ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw

Answers

Answer:

(a) Tree (see diagram)

(b)   (i) 9/64   (ii) 3/8

Step-by-step explanation:

3 black, 5 white, picks two at random with replacement.

SEE DIAGRAM FOR EXPLANATIONS

(a) Tree (see diagram)

(b)

(i) 9/64

(ii) 3/8

In the given problem we have 3 black ball and 5 white ball, the probability tree be constructed as per ball picks from bag.

(a) Refer the attached figure for the probability tree.

(b)

(i) The probability that Paul picks two black balls is [tex]\dfrac{9}{64}[/tex].

(ii) The probability that Paul picks a black ball in his second draw is [tex]\dfrac{3}{8}[/tex].

Given:

The bag contain 3 black and 5 white balls.

(a)

Refer the attached figure for the construction of probability tree.

(b)

(i)

Since the getting two black ball are independent event so multiply the branch B ( refer attached figure)

[tex]P(\rm two\: black)=\dfrac{3}{8}\times\dfrac {3}{8}\\P(\rm two\: black)=\dfrac{9}{24}[/tex]

Thus, the probability that Paul picks two black balls is [tex]\dfrac{9}{64}[/tex].

(ii)

There should be two outcomes either (B,B) or (W, B).

From the attached figure,

[tex]P(\rm B,B)=\dfrac{9}{64}[/tex]

[tex]P(\rm W, B)=\dfrac{15}{64}[/tex]

Calculate the probability of second ball black.

[tex]P(\rm second\: ball\: black)=P(B, B) + P(W, B)\\P(\rm second\: ball\: black)=\dfrac{9}{64}+\dfrac{15}{64}\\P(\rm second\: ball\: black)=\dfrac{3}{8}[/tex]

Thus, the probability that Paul picks a black ball in his second draw is [tex]\dfrac{3}{8}[/tex].

Learn more about probability here:

https://brainly.com/question/11234923

in a right triangle ABCD prove that angle abc is equal to angle CAD​

Answers

i’m guessing you meant in a rectangle, you can just use the reflexive property and say BC is congruent to BC, angle A is congruent to angle D, angle B is congruent to angle C, and by ASA or CPCTC they are congruent

PLZ HELPPP I need to pass this!!

Answers

Answer:

x=-1

Step-by-step explanation:

the middlepoint is where its symetrical, and so you take the x part of the point. the point is (-1,4), and all we need is x, so you have x=-1

Descent, Inc., produces a variety of climbing and mountaineering equipment. One of its products is a traditional three-strand climbing rope. An important characteristic of any climbing rope is its tensile strength. Descent produces the three-strand rope on two separate production lines: one in Bozeman and the other in Challis. The Bozeman line has recently installed new production equipment. Descent regularly tests the tensile strength of its ropes by randomly selecting them to various tests. The most recent random sample of ropes, taken after the new equipment was installed at the Bozeman plant, revealed the following:

Bozeman; x1= 7,200 lbs
S1=425 n1=25,
Challis;x2=7,087
lbs, S2=415, n2=20

Required:
Conduct the appropriate hypothesis test at the 0.10 level of significance.

Answers

Solution :

Assuming [tex]$\sigma_1^2=\sigma_2^2$[/tex]

We have to test

[tex]$H_0:\mu_1=\mu_2$[/tex]

Against [tex]H_a: \mu_1 \neq \mu_2[/tex]

Level of significance, [tex]$\alpha = 0.05$[/tex]

[tex]$s_p=\sqrt{\frac{(n_1-1)s_1^2+ (n_2-1)s_2^2}{n_1+n_2-2}}$[/tex]

[tex]$s_p=\sqrt{\frac{(25-1)(425)^2+ (20-1)(415)^2}{25+20-2}}$[/tex]

   = 420.6107

Under [tex]H_0[/tex], the t-statistics is as follows:

[tex]$t=\frac{(\overline{x_1} - \overline{x_2})}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}} \sim $[/tex]             [tex]$\text{t with }(n_1+n_2-2) \ DF$[/tex]

[tex]$t=\frac{(7200-7087)}{(420.6107)\sqrt{\frac{1}{25}+\frac{1}{20}}}$[/tex]

 = 0.90

DF = (25 + 20 - 2)

    = 43

P-value of the test = 0.375

Since the p value is more than 0.05, we fail to reject our null hypothesis.

There is no difference between then mean tensile strength of the ropes that is produced in the Bozeman and Challis.

PLEASE CAN SOMEONE HELP ME??????????????

Answers

Answer: 180 degrees rotation, center (1.5, -0.5)

=====================================================

Explanation:

Notice how point (1,-1) on triangle A moves to (-2,0) and then that rotates to (2,0)

Form a line segment from (1,-1) to (2,0) to show the beginning and end states. The equation of the line through these two points is y = x-2

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

Similarly, the point (1,-4) moves to (-2,-3) after applying the translation vector, then it rotates to (2,3). Draw a line through (1,-4) and (2,3). The equation of this line is y = 7x-11

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

We have this system of equations

[tex]\begin{cases}y = x-2\\y = 7x-11\\\end{cases}[/tex]

Equate the right hand sides and solve for x

7x-11 = x-2

7x-x = -2+11

6x = 9

x = 9/6

x = 3/2

x = 1.5

which leads to

y = x-2 = 1.5-2 = -0.5

or

y = 7x-11 = 7(1.5)-11 = 10.5-11 = -0.5

Either way, x = 1.5 leads to y = -0.5

We get the ordered pair (x,y) = (1.5, -0.5)

This is the center of rotation when rotating figure A to have it match up with triangle C (the triangle in the upper right quadrant)

Notice in the diagram below point D is that center of rotation. Also, notice that if we use the distance formula, you should find that

AD = A''D

BD = B''D

CD = C''D

13 52
— = —
6 X
Solve for x please answer quickly

Answers

Answer:

1/24

Step-by-step explanation:

13/6x = 52

1/6x = 52/13

1/6x = 4

1 = 4(6x)

1 = 24x

24x = 1

x = 1/24

need answer with step by step

Answers

Answer:

y = 6/5x -7

Step-by-step explanation:

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

a) correct

b) 70 degrees

Step-by-step explanation:

since in the triangle BXC the sides BX and XC have the same length, they must also have the same angles with the baseline BC.

so, we know, XBC = 55 degrees.

and therefore BCX = 55 degrees.

the sum of all angles in a triangle is always 180 degrees.

so,

BXC = 180 - 55 - 55 = 70 degrees

The sum of two numbers is 19 and there differnce is 5

Answers

Answer:

x = 12 , y = 7

Step-by-step explanation:

Let the numbers be x and y

Sum of the numbers,         x + y = 19 -------- ( 1 )

Difference of the number , x - y = 5 -------- ( 2)

( 1 ) + ( 2 ) => 2x = 24  

                    x = 12

Substitute : x in ( 2 ) => 12 - y = 5

                               => 12 - 5 = y

                              => 7 = y

PLEASE HELP ME WILL MARK YOU JF YOU HELP ME PLEASE!!!

Answers

Answer:

2, 3, 4, 7, 8, 10 I hope

Answers

Congruent by AAS (shown in the example)Congruent by SASCongruent by SSSCongruent by ASANot enough info  (shown in the second example)Congruent by AASCongruent by SASCongruent by SSSCongruent by AASNot congruent

=================================================

Explanations:

As the example shows, we have two pairs of congruent angles and a pair of congruent sides. The side are not between the angles in question. So AAS is slightly different from ASA.We have two pairs of congruent sides, and a pair of congruent angles. The angles are between the sides. So we use SAS which is a valid congruence theorem. Recall that SSA is not a valid theorem, so the order matters.We have three pairs of congruent sides, so we go with SSS. The order doesn't matter here.Similar to problem 1, but now the sides are between the angles. So we go with ASA this time instead of AAS.We unfortunately don't have enough info to determine if the triangles are congruent or not. We need to know something about the side lengths to determine congruency.As the hint suggests, marking the vertical angles will produce the other pair of congruent angles. So that's why we go for AAS (the side is not between the angles).This is similar to problem 2, as both use SAS. Note the unmarked vertical angles which are congruent.This is similar to problem 3. We use SSS here because we have 3 pairs of congruent sides as indicated by the tickmarks.The unmarked vertical angles can get double arcs to show they are congruent. We have a pair of congruent sides that are not between the two pairs of congruent angles, so we go for AAS (problems 1 and 6 also use AAS).For the triangle on the left, the arc is between the tickmarked sides. The triangle on the right has the arc not between the tickmarked sides. So there's no way the triangles are the same. The arc needs to be between the marked sides for each triangle, if we wanted them to be congruent (using SAS).

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

Acronyms

SSS = side side side

SAS = side angle side

ASA = angle side angle

AAS = angle angle side

Which function is represented by this graph? ​

Answers

the answer for this question is A

The answer is going to be A

If 8 Superscript y Baseline = 16 Superscript y + 2, what is the value of y?

Answers

Answer:

10. Where was the medical mission held? A. At Barangay Tatalon Marikina B. At Barangay Almanza Las Piñas City C. At Barangay Pamplona Las Piñas City D. At Barangay CAA BF INT'L Las Piñas City

its the number 7 can u guys help me

Answers

Answer:

54

Step-by-step explanation:

Angle 2 and Angle 3 are vertical angles

Vertical angles are congruent ( equal to each other )

So if angle 2 = 54 then angle 3 also equals 54

Answer:

∠3 = 54°

Step-by-step explanation:

54° and ∠3 are vertical angles, which means they are equal .

54° = ∠3

What are the coordinates of the point that is 3/8 of the way from A(-8, -9) to B (24, -1)

(-6,4)
(-2,4)
(4,-6)
(12,-4)

Answers

Answer:

C. (4, -6)

Hope it helps :)

Triangles L M N and P O N connect at point N. Angles L M N and N O P are congruent.
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?

because both triangles appear to be equilateral
because∠MNL and ∠ONP are congruent angles
because one pair of congruent corresponding angles is sufficient to determine similar triangles
because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN

Answers

Answer:

because one pair of congruent corresponding angles is sufficient to determine similar triangles.

Answer:

C

Step-by-step explanation:

What is the biggest possible answer you can get by putting
one pair of brackets into the calculation below? Show your working.
9 - 4 + 5 x 3

Answers

Answer:

9-4+(5x3)

Step-by-step explanation:

9-4+15

24-4

20

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