Cate randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $20,340 with a standard deviation of $2,494. Using the alternative hypothesis that µ < $21,706, Cate found a z test statistic of -2.74. Given the data provided, what is the p-value of the z-test statistic?

Answers

Answer 1

Answer:

0.003

Step-by-step explanation:

Recall for a p-value, it must be a value that is as extreme and more extreme than the test statistics. If we go to the chart for the z-score and go to the row of -2.7 and to the column 0.04, we can see the value is 0.0031 or 0.003. Since the test is a one-tailed test (note that  is less than, "<"), this is the p-value.


Related Questions

what’s the relation?

Answers

y=1/2x i think , cuz the rate of change is 1/2

Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)

sin(V-U)

cos(U-V)

Answers

cosU:-

[tex]\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25[/tex]

As U lies in Q3

cosU=-24/25

sinV

[tex]\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4[/tex]

As V lies in Q3

sinV=-3/5

So

sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=44/125cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125

what is the number added to 24 and subtracted by 5 the total is 50. find the number
answer it with a explanation pls

Answers

Answer:

31

Step-by-step explanation:

When you add 31 + 24 = 55

55 - 5 = 50

x>10 which answer would work as a solution to this inequality

Answers

Answer:

x>10= x11

Step-by-step explanation:

x>10 and 10 or above could be the answer

i tried multiplying but it no work am i missing something?

Answers

Answer:

  3 3/16 meters

Step-by-step explanation:

The volume of the box is the product of the length and width and height. You are given the length, and you are given a relation for the width. To find the height, you need to use the given relations to create an appropriate equation to solve.

One way you can do it is this:

  V = LWH

If we use a value that is (1 9/16)W, then we have ...

  (1 9/16)V = L·(1 9/16)W·H . . . . . multiply the above equation by 1 9/16

Putting the given values into this relation, we have ...

  (1 9/16)(12 3/4) = (2 1/2)(2 1/2)·H . . . . . . remember, 2 1/2 = (1 9/16)W

  H = (1 9/16)(12 3/4)/(2 1/2)² = (1275/64)/(25/4) = 51/16

  H = 3 3/16 . . . meters

__

Additional comment

An alternative is to find the actual width:

  (1 9/16)W = 2 1/2

  W = (5/2)/(25/16) = 8/5 = 1 3/5

Then you would have ...

  12 3/4 = (2 1/2)(1 3/5)·H = 4·H

  H = (51/4)/4 = 51/16 = 3 3/16 . . . as above

A phone company offers two monthly plans. Plan A costs $15 plus an additional $0.14 for each minute of calls. Plan B has no initial fee but costs $0.18 for each
minute of calls.

Answers

Step-by-step explanation:

x = number of minutes

first cost function :

c(x) = 0.14x + 15

the second cost function :

c(x) = 0.18x

I guess, the question (not written in the description) is after how many minutes call time the first plan breaks even with the second plan and further becomes the better choice ?

0.18x = 0.14x + 15

0.04x = 15

x = 15/0.04 = 375

with 375 minutes calling time per month the first plan costs the same as the second plan.

and starting with 376 minutes per month the first plan becomes the cheaper option.

under 375 minutes per month the second plan is the cheaper option.

please help me with this question

Answers

y= 5,2.5,0,-2.5,-5. I’ve provided pictures down below with the answers and work

step by step please

Answers

Solution:

We know that:

Given equation: 1/4(x - 2) = 3 - (x + 1/6)

Simplify the distributive property.

1/4(x - 2) = 3 - (x + 1/6)=> x/4 - 2/4 = 3 - x - 1/6

Further simplify both sides.

x/4 - 2/4 = 17/6 - x

Subtract 17/6 both sides.

x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x=> x/4 - 6/12 - 34/12 = -x=> x/4 - 40/12 = -x

Subtract x/4 both sides.

x/4 - x/4 - 40/12 = -x - x/4=> -40/12 = -5x/4

Use cross multiplication.

=> -160 = -60x

Divide -60 both sides.

-160/-60 = -60x/-60=> x = 160/60 = 2 40/60 = 2 2/3

need help solving this please

Answers

Answer:

A) x=39

Step-by-step explanation:

117 = 3x

117 divided by 3 = 39

3x = 117

3(39) = 117

117 = 117

A) x = 39

I just need help :);

Answers

The answer is 2 1/2

Because 2x2 is 4 and u add 1 to get 5
5/2

Into mixed fraction 2whole number 1/2

Pleaseee help me someone. I have test . pleaseeeeeeeee​

Answers

Step-by-step explanation:

let mv be x. I hope that helps!

Which of the following fractions is equivalent to 1.68? A. 25/42 B. 17/25 C. 42/25 D. 7/4

Answers

Answer:

42/25 or C

Step-by-step explanation:

Just by looking at the answers, we can eliminate A and B because the equivalent decimals of those would result in a number that is less than one.

Then, you can eliminate D because 7/4 is equal to 1.75

Therefore, your answer would be C, 42/25.

Pls help me in all of these question

Answers

1. B
2. C
3. no
4. B
5. No

A new house is purchased for $150,000. The value of the house depreciates at 7.5% per year. What will the value of the house be after 6 years?

Answers

Answer:

$82500

Step-by-step explanation:

150000÷45%=82500

Which line represents a direct variation function?



line b
line a
line d
line c

image added

Answers

The answer is “line d”!

Direct variation functions always cross through the origin!

I hope this was helpful!

if x+1/x= 3 then x-1/x = ?

Answers

Answer:

If x+1/x= 3 Then the answer for this equation (x-1/x=? ) will be...

Step-by-step explanation:

i need help with this problem please ​

Answers

Answer:

Given, altitude, h = 6 inches, base, b = 16 inches

Now,

Area = 1/2 × b × h

= 1/2 x 16 × 6

= 48 Square inches.

3. Order each set of numbers from least to greatest.
a. 4, 8, -2,-6,0

Answers

Answer:

-2,-6,0,4,8

Step-by-step explanation:

-2 is the least because all other numbers are greater than it(i.e any negative number is less than 0)

If you walk 15 miles in 8 hours, how many miles would you walk in 2 hours​

Answers

Answer: 3.75 miles in 2 hours

Answer:

[tex]\huge\boxed{\sf 3.75 \ miles}[/tex]

Step-by-step explanation:

Given that:

8 hours = 15 miles

Divide both sides by 4

8/4 hours = 15/4 miles

2 hours = 3.75 miles

[tex]\rule[225]{225}{2}[/tex]

Chase found new pants for $35.55 plus 7.5% tax. What is the final price of the new pants?

Answers

Answer:

$38.22

Step-by-step explanation:

7.5% of $35.55 = $2.66625

= $2.67

$35.55 + 2.67 = $38.22 after tax

Answer:

$38.22

Step-by-step explanation:

Given the following question:

7.5% of 35.55

To find the answer we must first find 7.5% of 35.55 using the formula to calculate percentages, and then we add that answer to the current price of the pants.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{7.5\times35.55}{100}[/tex]
[tex]7.5\times35.55=266.625[/tex]
[tex]266.625\div100=2.66625[/tex]
[tex]=2.66625[/tex]

Round the answer to the nearest cent:
[tex]2.66625[/tex]
[tex]6 > 5[/tex]
[tex]=2.67[/tex]

7.5% of 35.55 is "$2.67."

Now we add the answer to the current price:
[tex]35.55[/tex]
[tex]35.55+2.67=38.22[/tex]
[tex]=38.22[/tex]

The cost of the new pants after a 7.5% tax is "$38.22."

Hope this helps.

Which of the following functions best describes this graph?

A. y = x^2 + x - 12
B. y = x^2 - 9x + 18
C. y = x^2 + 9x + 18
D. y = x^2 - 5x + 6​

Answers

The answer is B. y= x^2 - 9x + 18

0
1 cos 4
lim .
x ( 1) x
x
I
 x e

Answers

Answer:

Hello, please consider the following.

Evaluate the limit of the numerator and the limit of the denominator.

Tap for more steps...

0

0

Since

0

0

is of indeterminate form, apply L'Hospital's Rule. L'Hospital's Rule states that the limit of a quotient of functions is equal to the limit of the quotient of their derivatives.

lim

x

0

e

x

2

1

cos

(

x

)

1

=

lim

x

0

d

d

x

[

e

x

2

1

]

d

d

x

[

cos

(

x

)

1

]

Find the derivative of the numerator and denominator.

Tap for more steps...

lim

x

0

2

e

x

2

x

sin

(

x

)

Evaluate the limit of the numerator and the limit of the denominator.

Tap for more steps...

0

0

Since

0

0

is of indeterminate form, apply L'Hospital's Rule. L'Hospital's Rule states that the limit of a quotient of functions is equal to the limit of the quotient of their derivatives.

lim

x

0

2

e

x

2

x

sin

(

x

)

=

lim

x

0

d

d

x

[

2

e

x

2

x

]

d

d

x

[

sin

(

x

)

]

Find the derivative of the numerator and denominator.

Tap for more steps...

lim

x

0

4

e

x

2

x

2

+

2

e

x

2

cos

(

x

)

Take the limit of each term.

Tap for more steps...

4

e

(

lim

x

0

x

)

2

(

lim

x

0

x

)

2

+

2

e

(

lim

x

0

x

)

2

cos

(

lim

x

0

x

)

Evaluate the limits by plugging in

0

for all occurrences of

x

.

Tap for more steps...

4

e

0

2

0

2

+

2

e

0

2

cos

(

0

)

Simplify the answer.

Thank you

Step-by-step explanation:

Master Mason wants to treat all the
Kids at school. How packs of 15 fudge does he need for 151 children?

Answers

Answer:

11

Step-by-step explanation:

you would have to divid 15 from 151

151/15= 10.06

since you cant get a part of a pack you would have to round up which is 11 to treat all of the kids

Answer:

he will need 11 packs of fudge

Step-by-step explanation:

to answer this question you will divide 151 by 15 and you will get 10.066. you cannot bring 0.066 packs of fudge so you would bring one extra meaning you would bring 11 packs total.

can you help me with the answer?​

Answers

Answer:

11/6

Step-by-step explanation:

- 1/3y + 3/2

1/3 x 2 = 2/6

3/2 x 3 = 9/6

11/6

Have an amazing day!

PLEASE RATE!!!

Calculate the probability for the following situation: You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 3 (assume the ace is equal to 1) from the deck?​

Answers

Answer:

Flipping the coin:

P( H ) = 1/2

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

Rolling the die:

There are 6 numbers

1,2,3,4,5,6

3 of them are odd, so

P( odd ) = 3/6

P( odd ) = 1/2

Step-by-step explanation:

There are 52 cards in a deck

There are +9%2A4+=+36+

cards less than +10+

P( <10 ) = 36/52

P( <10 ) = 9/13

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

Since you want ALL the above,

multiply probabilities

+%281%2F2%29%2A%281%2F2%29%2A%289%2F13%29+=+9%2F52+

Dario purchased a party size sub, and he decides to share it with 3 of his friends. So, he cuts the sub into 4 equal pieces. However, another one of his friends also showed up, and there are now 5 people in total.

Part A

Now that the sub will be shared equally among 5 people, will each person get more or less sub? Briefly state why you think so.

Part B

Dario decides to take each one of the 4 pieces and share it equally among the 5 of them. First, he divides one piece into 5 equal parts and shares it, then the next one, and so on.

What fraction of the party size sub did each person get after all the parts were shared out? Briefly explain your reasoning.

Answers

The fraction illustrates that each person will get less sub since there are more people sharing it.

How to explain the fraction?

In this case, Dario purchased a party size sub, and he decides to share it with 3 of his friends but another friend came. This means there will be less in to be shared.

The fraction of the party size sub did each person get after all the parts were shared out will be:

= 1/5 × 4

= 4/5

Therefore, each person gets 4/5.

Learn more about fractions on:

https://brainly.com/question/78672

Find the sum of the following arithmetic sequence. 4,10,16,22,28

Answers

Answer:

Step-by-step explanation:

This is the formula to find the sum of the first

n

terms of the sequence. To evaluate it, the values of the first and

n

the terms must be found .Sn=n2⋅(a1+an)

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

6

to the previous term in the sequence gives the next term. In other words,

an=a1+d(n−1)x Arithmetic Sequence:

d=6 This is the formula of an arithmetic sequence X an=a1+d(n−1)Substitute in the values of a1=4 and d=6 x an=4+(6)(n−1)Simplify each term.

an=4+6n−6 Subtract 6 from 4 x an=6n−2 Substitute in the value of N to find the N the term x a5=6(5)−2 Multiply 6 by 5 x a5=30−2 Subtract 2 from 30 x a5=28 Replace the variables with the known values to find

S5 x S5=52⋅(4+28)Add 4 and 28 x S5=52⋅32

Cancel the common factor of

2.

S5=5⋅16 Multiply 5 by 16 x S5=80

Convert the fraction to a decimal.

S5=80

36 ÷ 2² × 4² this is my question guys:)

Answers

Answer:

144

Step-by-step explanation:

Following the order of operations PEMDAS:

ParenthesesExponentsMultiplication and divisionAddition and subtraction

36 ÷ 2² × 4²

Carry out the exponents first:

⇒ 36 ÷ 4 × 16

Now carry out the operations from left to right:

⇒ 9 × 16 = 144

What is the value of X ?

Answers

X + 67 + 52 = 180
X + 119 = 180
Minus 119 to both sides
X = 61


Hope this helps :)
By the Triangle Sum Theorem, the sum of all three interior angles in a triangle is 180°.

Therefore:

67+52+x=180

119+x=180

x=61

Checking work:

119+(61)=180

So x=61

Just the last question please it is due in 45 minutes!!!

Answers

Area = 787.75 ft2
Circumference = 99.49 ft
Other Questions
Solve the following system of equations graphically on the set of axes below.y = 2x 1x + 3y = 18 PLEASE HELP I REALLY REALLY NEED HELP I'll literally give someone brainlest if they get the question right How does the reunion affect paolos parents and benjamin There is scientific research to back up the idea that school should start later for middle and high school students. Beginning in their adolescent years, students' sleep patterns change because they become more focused in the evening and stay up later. This requires that they sleep later in the morning since, according to research, teenagers need 810 hours of sleep. Not getting enough sleep can lead to health risks, but it also has consequences for teenagers and their academics. Students who do not get enough sleep have a harder time staying alert and remaining focused in class, which can lead to poorer grades. Furthermore, lack of sleep can lead to increased stress levels and prevent students from retaining information, leading to problem-solving troubles. Teenagers who do not get enough sleep suffer from poor academic performance. Physical problems, such as lack of physical alertness, can also be the result of teenagers not getting adequate sleep. Research also shows that students who do not get enough sleep can be overweight. While many middle and high schools begin before 8:30, they should modify their schedules. Experts suggest that these schools begin no earlier than 8:30 in the morning. This allows for students to sleep later in the morning, which matches the scientifically proven sleep cycles of teenagers. Question: Which sentence would be the best conclusion to the essay? a The needs of students should not be the driving force behind schools modifying schedules. b Allowing students to sleep in will benefit schools and later start times should be put in place. c For students to be successful, schools should understand the importance of students' physical needs. d Middle and high school students cant stay focused if they dont have enough sleep. I need help solving this problem I'm stuck on. How did the war in Vietnam eventually end? How wa dr. seusu an influence can somone help me out i am kinda stressed a class has 28 students 13 boys and 15 girls what is rstio girls to boys Select the correct answer.Adding physical activity to a busy schedule can have all of the following benefits except:A. Increase your energyB. Decrease your productivityC. Helps you to complete more in less timeD. Physical activity does all of the above Which word describes how the speaker of this poem feels?uncertainconfidenthopeless What does the verb "soler" express? Which type of system is being researched to deliver power to several motors to drive multiple systems in vehicles?hydraulic power systemfluid power systembraking power systempneumatic power system What refers to non-living physical and chemical elements in the ecosystem? ( has 7 letters) Lightning flashes every 15 seconds one rainy night. How many times would it flash in 3 minutes?* What is true about market economies?:A. People cannot start their own business.B. The government makes all of the economic decisions.C. People are free to start their businesses.D. There is limited technology to advance products. The table below shows how many gumballs of each color there are in a gumball machine.Juan is going to buy one gumball, and the gumball is selected at random. What is theapproximate probability that Juan gets a yellow gumball?A) 0.05B) 0.06C) 0.17D) 0.20Please explain how you get the answer so I could learn because yt videos dont help and I dont want to be a burden to my parents by asking them to help Dennis drove for 12 minutes and went 8% miles in that time. At this rate, how many miles can he drive in 1 hour? van Gogh's paintings were contradictory to his actual life. His paintings were filled with bright colors and seemed joyful, while most people described him as hard to deal with and sad. Question 3 options: True False Please help ^^Homework dued in 10min