A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is 5 minutes. He decides to collect data to see if the mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes. Using this sample information, conduct the appropriate hypothesis test at the 0.01 level of significance. Assume normality.

Answer:

18 ft

Step-by-step explanation:

Answer:

2.66x + 18 = -3

Step-by-step explanation:

Answer:

x=16, z=91

Step-by-step explanation:

Answer:

x = 16° , z= 89°

Step-by-step explanation:

here's your solution

=> (11x -85)° = 91°. [ both are vertical angle]

=> 11x = 91° + 85°

=> 11x = 176°

=> x = 176°/11

=> x = 16°

now, 91° + z = 180° [ linear pair]

=> z = 180° - 91

=> z = 89°

hope it helps

Answer:

3.141

Step-by-step explanation:

just find area of full circle which is 12.566 then divide by 4 (its pi)

Answer:

3.14x2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

each edge/vertex was taken 2 units to the right and 8 units down to make the figure M'

I traced it to make sure

hope this helps <3

Answer:

C.

Step-by-step explanation:

each edge/vertex was taken 2 units to the right and 8 units down to make the figure M'

I traced it to make sure

hope this helps <3

Let f(x) = y

y = 2^x

x = 2^y

Solve for y.

ln x = ln(2^y)

ln x = y ln 2

ln x/ln 2 = y

Replace y with f^(-1) x.

f^(-1) x = ln x/ln 2

We now know f(x) and f^(-1) x.

Use your graphing calculator to graph the function and its inverse on the same xy-plane. If you don't have a graphing calculator, use DESMOS online.

Good luck.  

Answer:

C. 0.64

Step-by-step explanation:

Sana makatulong :-)

Answer: 264.0625

Step-by-step explanation:

let me know if im wrong

Answer:

i think a) W

...................................hope this helps

Answer:

Hi! The answer to your question is C. Angle X

Step-by-step explanation:

If you flip the picture they're both the same, at that point look for K and find something identical to it, and that means that it corresponds.

❣❣❣❣❣❣❣❣❣❣❣❣❣❣

- Brooklynn Deka

Hope this helps!!

⁅❣Brainliest would be greatly appreciated!❣⁆

Answer:

Consider the parent logarithm function f(x) = log(x)

Now,

Let us make transformations in the function f(x) to get the function g(x)

•On streching the graph of f(x) = log(x) , vertically by a factor of 3, the graph of y = 3log(x) is obtained.

•Now, shrinking the graph of y = 3log(x) horizontally by a fctor of 2 to get the grpah of y = 3log(x/2) i.e the graph of g(x)

Hence, the function g(x) after the parent function f(x) = log(x) undergoes a vertical stretch by a factor of 3, and a horizontal shrink by a factor of 2 is

g(x) = 3 log(x/2) (Option-B).

Answer:

F) 63

Step-by-step explanation:

Find the original total stories 10 + 8 + 16 + 8 = 42.

Original ratio of Mary's stories to total stories is 8/42 or 4/21.

Then form equation 4/21 = 12/x ; multiply both sides of 4/21 by 3.

4/21 = 12/63

The students need to write 63 stories to keep the ratio of Mary's stories to total stories the same.

Answer:

v=1\3hπr3

Step-by-step explanation:

1/3×,22/7×4.5×4.5××7.25

=153.66cm3

Answer: 78 floors total

Step-by-step explanation:

if 13=1/6

6 x 13=78

Answer:

13*6=78

Step-by-step explanation:

If one part of something is equal to 13, then 6 parts are equal to 13*6. Let us denote that "something" by x, and we get

[tex]x = 6 \times \frac{1}{6} x = 6 \times 13[/tex]

Which is obviously an identity

Answer:

W+h=         43+h=

Step-by-step explanation:

THis shows your age plus h the amount of years time. the second expression represents your mothers age plus h.

Answer:

1 quart = .947 L

3 Q = 2.841 L

So you should use 2.841 L to dissolve the powder

One quartz is equal to 32 oz, then 2.88 liters of water are used to dilute the powder.

The unit conversion deals with the operation to change one form of the unit to another form of unit.

Instructions require you to dilute a powder in 3 quarts of water. You only have a container that is marked in liters.

We know that

1 quartz = 32 oz

3 quartz = 96 oz

Since 30 milliliters per oz

Then

30 milliliters × 96 oz = 2880 milliliters

Since 1000 milliliters per liter, then we have

[tex]\rm \dfrac{2880}{1000}=2.88\ liters[/tex]

2.88 liters are used to dilute the powder.

More about the conversion of a unit link is given below.

https://brainly.com/question/655411

Answer:

90 hours

Step-by-step explanation:

The computation of the time taken for Caleb to paint the room alone is given below:

Given that

Kevin paint a small room in 18 hours

And, kevin & caleb together paint the same room in 15 hours

So, time taken for Caleb to paint the room alone is

Let us assume the same be x

Kevin time taken + caleb time taken = total time taken

[tex]\frac{1}{18} + \frac{1}{x} = \frac{1}{15}\\\\ \frac{1}{x} = \frac{1}{15} - \frac{1}{18}\\\\ \frac{1}{x} = \frac{6-5}{90} \\\\ \frac{1}{x} = \frac{1}{90}[/tex]

x = 90 hours

Answer:

7x+4/3x+2= -4/3 don't know

We want to find the missing measures for the given square.

We know that squares have the same length in all of their 4 sides, with that in mind we can see that:

TS = TU = UV = SV = 15

Then we can already complete:

VU = 15

Now we need the two diagonals, SU and TV.

The diagonal for a square of side length s is:

diagonal = (√2)s

Then the diagonals for our square are:

TV = SU = (√2)*15 = 21.2

And SW is half of the diagonal, so we have:

SW = 21.2/2 = 10.6

If you want to learn more about squares, you can read:

https://brainly.com/question/4916384

Answer:

x = 12

m(QS) = 52°

m(PD) = 152°

Step-by-step explanation:

Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)

Thus:

m<R = ½[m(PD) - m(QS)]

50° = ½[(12x + 8) - (4x + 4)] => substitution

Solve for x

Multiply both sides by 2

2*50 = (12x + 8) - (4x + 4)

100 = (12x + 8) - (4x + 4)

100 = 12x + 8 - 4x - 4 (distributive property)

Add like terms

100 = 8x + 4

100 - 4 = 8x

96 = 8x

96/8 = x

12 = x

x = 12

✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°

✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°

Answer:

Expression is 3x² + 5x - 17

Step-by-step explanation:

We are told the number of lights produced by a company is;

Number of lights = 15x^3 + 16x^2 – 100x + 51

Also, number of companies that purchased the light bulbs is 5x - 3.

Thus;

The average number of bulbs purchased per company = (15x^3 + 16x^2 – 100x + 51)/(5x - 3)

I have attached the calculation using long division method to get;

3x² + 5x - 17

Answer:

Total = principal * (1+ rate/100)^ years

Total = 2,000 * 1.05^5

Total = 2,000 * 1.2762815625

Total = 2,552.36

Source: http://www.1728.org/compint2.htm

Step-by-step explanation:

Answer:

3/16??? and 1/16???

Step-by-step explanation:

im so sorry this might be wrong

The probability that a exactly one chocolate contains nuts is 3/16 and probability that at least one chocolate contains nuts is 0.339.

Probability is calculated by dividing the number of possible outcomes by the total number of possible outcomes. Probability and odds are two distinct concepts. Odds are calculated by dividing the probability of something happening by the probability of it not happening.

When you calculate probability, you are estimating the likelihood of something occurring and representing it with a precise number.

The probability that a exactly one chocolate contains nuts

No of total chocolates = 16 chocolates

No of chocolates contain nuts = 3

The probability that a exactly one chocolate contains nuts = 3/16

Probability that  at least one chocolate contains nuts is

P(at least one contains nut) = 1 – P(given contains no nuts )^n

P(at least one contains nut) = 1 – (0.8125)^2

P(at least one contains nut) = 0.339

Probability that  at least one chocolate contains nuts = 0.339

To learn more about Probability refer :

https://brainly.com/question/251701

#SPJ2

ngl I think you'll have to format it clearer, cause I have no clue what's happening

Answer:

c-6 1/2

Step-by-step explanation:

260 divided by 40=6.5

6.5=6 1/2

hope this helps

plz can i get brainliest.

Answer:

2\sqrt{x}+\frac{1}{2\sqrt{x}}\left(2x+3\right)

Step-by-step explanation:

which is D on your phone

Answer:

its a

Step-by-step explanation: