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Tanya [424]
3 years ago
12

8. Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest in

ch. A. 88 in. B. 28 in. C. 56 in. D. 44 in.
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0

Since d=2r


C = 2\pi r = \pi d \approx 28(3.14) = 87.92


Choice A



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Find the standard deviation of the distribution in the following situations. (Round your answers to two decimal places.) (a) MEN
Arturiano [62]

Answer:

a) 15.579

b) 39.019

Step-by-step explanation:

a) For the top 2% the z-value from the z table

z = 2.054

thus,

z = \frac{\textup{X-Mean}}{\sigma}

here

X = 132

Mean = 100

thus,

2.054 = \frac{\textup{132-100}}{\sigma}

or

σ = 15.579

b) Using tables, we get for Z = 0.89 the value of 0.8133 and for Z= 0.90 the value of 0.8159

By interpolation, values for 0.815 and we get Z=0.897

thus,

z = \frac{\textup{X-Mean}}{\sigma}

here

X = 220

Mean = 185

thus,

0.897 = \frac{\textup{220-185}}{\sigma}

or

σ = 39.019

6 0
3 years ago
Lucy had math and reading homework tonight. Lucy can solve each math problem in 5 minutes and she can read each page in 2.5 minu
drek231 [11]

Answer:

x=18,y=6,  graph is there for reference.

Step-by-step explanation:

Given,

x is the number of math problem Lucy solved.

y is the number of  pages she read.

She can do each math problem in  5 minutes, therefore she can solve x number of questions into 5 \times x=5x minutes.

She can read each page in 2.5 minutes, therefore she can read y pages in 2.5y minutes.

As per given detail,

5x+2.5y=105 equation 1.

And,

It is given that number of math problems Lucy solved is 3 times the number of pages she read.

x=3y equation 2.

We need to find x and y intercept of each of the equation to graph them.

For x-intercept put y=0

We will get x=\frac{105}{5} =21

Thus the point is (21,0)

Let us find y-intercept by assuming x=0

we get y=\frac{105}{2.5} =42

Thus the point is (42,0)

Join these two points.

Similarly considering the other equation x=3y

Here x-intercept would be at y=0

We will get x=0

Thus the point is (0,0)

Let us assume on more point, say x=30 , we get y=10

Thus the point is (30,10)

Join these two points.

We will get a point of intersection at (18,6)

Thus x=18 and y=6

8 0
4 years ago
The cafeteria uses 1/6 of coffee to fill a large coffee dispenser The cafeteria has 2/3 pound of coffee to use how many coffee d
wlad13 [49]

Answer:

4 Coffee Dispensers.

Step-by-step explanation:

The fractions must be converted into equal denominators, so 2/3 would be 4/6. After this, we can divide 4/6 equally, putting one of the sixths into 4 total dispensers.

6 0
3 years ago
A) Work out the size of angle x. b) Give reason for your answer.
enot [183]

A

x=75°

B

We know that ∠EFG=∠ABF because they are corresponding angles.

We also know that ∠x+∠ABF=180, because angles along a straight line always equal 180:

x+105=180

x=75°

6 0
3 years ago
7. What is the sin(90-x)?
Artist 52 [7]

0.2 is the answer i guess

7 0
3 years ago
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