Danny is measuring two pyramids whose bases are squares. Given the height hhh and volume VVV of the first pyramid, Danny uses the formula a=\sqrt{\dfrac{3V}{h}}a= h 3V ​ ​ a, equals, square root of, start fraction, 3, V, divided by, h, end fraction, end square root to compute its base's side length aaa to be 555 meters. The second pyramid has the same volume, but has 444 times the height. What is the side length of its base?

Answer:

The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.

Step-by-step explanation:

We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.

At the null hypothesis, we test if the mean is at the design value of 3200, so:

[tex]H_0: \mu = 3200[/tex]

At the alternate hypothesis, we test if it is less than the design value of 3200, so:

[tex]H_a: \mu < 3200[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

3200 is tested at the null hypothesis:

This means that [tex]\mu = 3200[/tex]

The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.

This means that [tex]n = 50, X = 3120, s = 180[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]

[tex]t = -3.14[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.

With the help of a calculator, the p-value of the test is 0.0014

The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.

Answer:

33 is definitely the correct answer

Answer:

6/16

Step-by-step explanation:

Answer: -2/5

1. Multiply out like using distributive property

3x+6 = 4-2x

2. Now just simplify

5x+6=4

5x=-2

x=-2/5

Answer:

Heyaa!!! Im Pinky! Im here to inform you that your answer is....

Step-by-step explanation:

1st. We need to Distribute:  

      3(+2)=2(2−)

      3+6=2(2−)

Just like That!

2nd. We have to Rearrange terms:

    3+6=2(2−)

   3+6=2(−+2)

3rd. Distribute One Last Time:

       3+6=2(−+2)

      3+6= −2+4

4th. Simplify:

    3=−2−2

5th. Add 2 to both sides of the equation:

      3=−2−2

      3+2=−2−2+2

6th. Simplify:

    5=−2  

7th. Divide both sides of the equation by the same term:

       5=−2

      5/5 = -2/5

8th. Solve:

  x = -2/5

        Have an Amazing day!!

~Pinky~

Answer:

0.4032

Step-by-step explanation:

1. We assume, that the number 72 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 72 is 100%, so we can write it down as 72=100%.

4. We know, that x is 0.56% of the output value, so we can write it down as x=0.56%.

5. Now we have two simple equations:

1) 72=100%

2) x=0.56%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

72/x=100%/0.56%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

Answer:

no

Step-by-step explanation:

your a  fattie

1) a=5(10)

[tex] {10}^{2} [/tex]

[tex] \div [/tex]

2

=5

[tex] \times [/tex]

100

[tex] \div [/tex]

2

=5

[tex] \times [/tex]

100

[tex] \div [/tex]

2

=500

[tex] \div [/tex]

2

=250

Answer:

A

Step-by-step explanation:

Answer:

median

Step-by-step explanation:

answer is the best measure of center for this dot plot is a median

answer options d

Answer:

go on MATH.WAY. it'll give you the answer and explanation

Step-by-step explanation:

Answer: $6,945.75

6000(1+.05)^3

Answer:

Using a personal loan APR of 7.63% as an example, here's a simple breakdown of what the personal loan payment calculator can show you for a $5,000 loan and $10,000 loan.

Step-by-step explanation:

Answer:

f(x) = 3x^3

Step-by-step explanation:

i think maybe its not but i think so

Answer:

Step-by-step explanation:

to find the inverse first switch the x and y

y=log(x+3) inverse is x=log(y+3)

then change to exponential form to solve

[tex]log_{a} b=c[/tex] turns to[tex]a^{c}=b[/tex]

a is 10

b is y+3

c is x

[tex]10^{x} =y+3[/tex]  subtract 3 from both sides

[tex]10^{x} -3=y[/tex]

Answer:

X=41

Step-by-step explanation:

40x40 =1600

9x9=81

1600+81=1681

[tex] \sqrt{1681} [/tex]

=41

Answer:

yus can you answer this for me

Step-by-step explanation:

Answer:

Speed= 0.6666667 miles per hour

Step-by-step explanation:

You can find the average speed of an object if you know the distance traveled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Answer: 3526.5

Step-by-step explanation: 2500(1+0.035)^10

Answer:

A

Step-by-step explanation:

Only a can be the answer

Answer:

A

Step-by-step explanation:

it's the only one that seems right

it can be written like this, hope this helps: $15/hour <3

The hourly wage 15 dollars an hour as a fraction is $15/1hr.

A fraction represents a part of a number or any number of equal parts.

There is a fraction, containing numerator(upper value) and denominator(lower value).

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

Given;

wage of 1hour = $15

In fraction;

15dollars/1hour

Therefore, the answer in fraction will be 15/1

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

#SPJ2

Answer:

10

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

16.8 would be multiplied by 5 since 0.2 is 1/5 of 1, therefore it would like

16.8 times 5 = 84

[tex]c\leq 50\\\\(c=child)\\\\Sorry \ if \ this \ didn't \ help \ you.[/tex]

Answer:

y=1/3x+5/3

Step-by-step explanation:

use the equation y=mx+b plug in slope for m, -2 for x and 1 for y

[tex]\red {incomplete \: question}[/tex]

Answer:

N'O' = 25

Step-by-step explanation:

N'O' = 5 × NO = 5 × 5 = 25

Answer:

[tex]21[/tex]

Step-by-step explanation:

Set up the following proportion and solve for [tex]x[/tex]:

[tex]\frac{27}{45}=\frac{x}{35},\\\\x=\frac{27\cdot 35}{45},\\x=\boxed{21}[/tex]

Answer:

The tank will empty in 4 hours.

Step-by-step explanation:

Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:

0.5 x X = 5

X = 5 / 0.5

X = 10

10 x 6 = 60

1 hour = 51 liters

1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5

2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34

2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5

3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17

3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5

4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0

Therefore, the tank will empty in 4 hours.

Answer:

2.5

Step-by-step explanation:

50 x $0.05 = 2.5