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storchak [24]
3 years ago
15

Guys I need this ASAP I NEED the exact answer in terms of n/pi. I also need to use n/pi=22/7 and express the answer as a fractio

n in lowest terms. And I need to use the n/pie button on my calculator and express the answer to the nearest hundredth but I don’t know how to do this so PLEASE LOOK AT THE PIC and ANSWER ALL 3 parts of this so I can get full credit please I am begging you I need this ASAP!!

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

a.  C=28\pi \ cm

b. C=\frac{88}{1}\ cm

c.  C=87.96 \ cm

Step-by-step explanation:

The formula to find the circumference of a circle is:

C=2\pi r

Where "r" is the radius of the circle.

In this case you can identify that:

r=14\ cm

Then:

a. Substituting the radius of the circle into the formula, you get:

C=2\pi (14\ cm)\\\\C=28\pi \ cm

b. Substitute the radius into the formula (Remeber to use \pi=\frac{22}{7} ) and then evaluate. So you get:

C=2(\frac{22}{7})(14\ cm)\\\\C=\frac{616}{7}\ cm\\\\C=\frac{88}{1}\ cm

c. Substitute the radius into the formula but this time you must use the  π button in the calculator:

 C=2\pi (14\ cm)\\\\C=87.964 \ cm

Rounded to the nearest hundreth, this is:

C=87.96 \ cm

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Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
Allisa [31]

Answer:

The  condition  are

           The  Null hypothesis is  H_o  :  \mu = 5

           The  Alternative hypothesis is  H_a  :  \mu <  5

The  check revealed that

             There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons

Step-by-step explanation:

From the question we are told that

     The  population mean is  \mu =  5 \ year

      The sample size is  n =  20

      The sample mean is  \=  x  =  4.6 \  years

       The  standard deviation is \sigma  =  2.2  \ years

   The  Null hypothesis is  H_o  :  \mu = 5

   The  Alternative hypothesis is  H_a  :  \mu <  5

So i will be making use of  \alpha =  0.05 level of significance to test this claim

    The critical value of  \alpha from the normal distribution table is  Z_\alpha  =  1.645

 

Generally the test statistics is mathematically evaluated as

                 t =  \frac{\= x  - \mu}{ \frac{\sigma }{\sqrt{n} } }

substituting values

                 t =  \frac{ 4.6  - 5}{ \frac{2.2}{\sqrt{20} } }

                t =  -0.8131

Looking at the value of  t and Z_{\alpha } we see that  t <  Z_{\alpha } so we fail to reject the null hypothesis  

  This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

4 0
2 years ago
Stacey went to six different auto repair shops to get the following estimates to repair her car.
topjm [15]

Answer:

534 is the mean.

Step-by-step explanation:

to calculate the mean you add all the numbers together (for example this set of numbers):

785, 585, 465, 409, 495, 465

=3204

then divide the number of numbers that you added together , (in this case 6)

3204/6

=

534

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2 years ago
Find the exact volume of the cylinder.
Verizon [17]

Answer:

\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

v= \pi r^2 h

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

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We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

v= \pi (5 \ ft)^2 * (8 \ ft)

Solve the exponent.

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v= \pi (25 \ ft^2)(8 \ft)

Multiply the numbers in parentheses.

v= \pi (200 \ ft^3)

v= 200 \pi \ ft^3

The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>

5 0
2 years ago
Please help me faster if know please?!!!!
nekit [7.7K]
.83

25 bus riding sophomores / 30 sophomores
3 0
3 years ago
(X+5)+(x-5)=56 what does x=?
kirill115 [55]

Answer:

x=28

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+5+x−5=56

x+5+x+−5=56

(x+x)+(5+−5)=56(Combine Like Terms)

2x=56

2x=56

Step 2: Divide both sides by 2.

2x/2=56/2

x=28

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