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3 years ago

Tessa threw 36 free throws at basketball practice. She sank 27 of them. What fraction of he free throws did Tessa sink?

Mathematics

2 answers:

Pie3 years ago

4 0

27/36 -> (divide by 3) 9/12 -> (divide by 3) 3/4 so it's 3/4

zavuch27 [327]3 years ago

3 0

She sank 27/36 which reduces to 3/4

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A movie theater has a capacity of 241. The theater chargers $5 for children, $7 for students and $12 for adults. There are half

STatiana [176]

70(5) + 175(8) + 35(4) =

350 + 1400 + 140 = 1890

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3 years ago

How much more area does a large pizza with a 12 in. diameter have than a small pizza with an 8 in. diameter? Round your answer t

ivolga24 [154]

Answer: About 63 in²

Step-by-step explanation:

Area of circle = π · r²

r = radius length
π ≈ 3.14

Area of large pizza:

$\pi *r^{2} =3.14*6^{2} =3.14*36=113.04$

Area of small pizza:

$\pi *r^{2} =3.14*4^{2} =3.14*16=50.24$

Difference in area:

$113.04-50.24=62.8$

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2 years ago

Suppose that your business is operating at the 4.5-Sigma quality level. If projects have an average improvement rate of 50% annu

Luda [366]

Answer:

11.75 years

Step-by-step explanation:

If we ignore the fact that "6-sigma" quality means the error rate corresponds to about -4.5σ (3.4 ppm) and simply go with ...

P(z ≤ -6) ≈ 9.86588×10^-10

and

P(z ≤ -4.5) ≈ 3.39767×10^-6

the ratio of these error rates is about 0.000290372. We're multiplying the error rate by 0.5 each year, so we want to find the power of 0.50 that gives this value:

0.50^t = 0.000290372

t·log(0.50) = log(0.00290372) . . . . take logarithms

t = log(0.000290372)/log(0.50) ≈ -3.537045/-0.301030

t ≈ 11.75

It will take about 11.75 years to achieve Six Sigma quality (0.99 ppb error rate).

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Comment on Six Sigma

A 3.4 ppm error rate is customarily associated with "Six Sigma" quality. It assumes that the process may have an offset from the mean of up to 1.5 sigma, so the "six sigma" error rate is P(z ≤ (1.5 -6)) = P(z ≤ -4.5) ≈ 3.4·10^-6.

Using that same criteria for the "4.5-Sigma" quality level, we find that error rate to be P(z ≤ (1.5 -4.5)) = P(z ≤ -3) ≈ 1.35·10^-3.

Then the improvement ratio needs to be only 0.00251699, and it will take only about ...

t ≈ log(0.00251699)/log(0.5) ≈ 8.6 . . . . years

5 0

3 years ago

Which is the area of a circle with a radius of 5 units? (use 3.14 for ) A. 15.7 square units B. 31.4 square units C. 78.5 square

sattari [20]

Answer:

Step-by-step explanation:

A = $\pi$ r²

so we do

5² = 25 * $\pi$

25 * $\pi$

= 78.5 square units

6 0

3 years ago

Write an equation for the description a number x increased by 16 is 118.

noname [10]

Answer:

x +16 = 118

Step-by-step explanation:

A number(unknown ) = x

Increased = +

Merge all together you have

$x + 16 = 118$

Tip ; If you solve the equation you will get 102 as an answer. 102 +16 =118 .

SO the equation is correct .☻

6 0

3 years ago