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DanielleElmas [232]
3 years ago
11

Please help and show your work for both a. and b.​

Mathematics
1 answer:
bixtya [17]3 years ago
6 0

Answer:

a.

C = 5/8 (F - 32)

C × 8 = 5/8 × 8 (F - 32)

8C = 5(F - 32)

\frac{8C}{5}  = \frac{5(F - 32)}{5}

\frac{8C}{5} = F - 32

\frac{8C}{5} + 32 = F - 32 + 32

\frac{8C}{5} + 32 = F

b.

C = 22

F = \frac{8C}{5} + 32

F = \frac{8(22)}{5} + 32

F = \frac{176}{5} + 32

F = 35.2 + 32

F = 67.2

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Debora [2.8K]

Answer:

0.1546\leq \widehat{p}\leq 0.3513

Step-by-step explanation:

The firm tests 75 parts, and finds that 0.25 of them are notusable

n = 75

x = 0.25 \times 75 = 18.75≈19

\widehat{p}=\frac{x}{n}

\widehat{p}=\frac{19}{75}

\widehat{p}=0.253

Confidence level = 95%

So, Z_\alpha at 95% = 1.96

Formula of confidence interval of one sample proportion:

=\widehat{p}-Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}\leq \widehat{p}\leq \widehat{p}+Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}

=0.253-(1.96)\sqrt{\frac{0.253(1-0.253)}{75}}\leq \widehat{p}\leq0.253+(1.96)\sqrt{\frac{0.253(1-0.253}{75}}

Confidence interval =0.1546\leq \widehat{p}\leq 0.3513

7 0
3 years ago
A circle is centered at (5, 4) and has radius 6. Write its equation in standard form.
dimulka [17.4K]
A circle equation is (x – h)^2<span> + (y – k)^</span>2<span> = r^</span><span>2 where (h,k) is the center and r is the radius. Now all we have to do is plug in the variables. 

Since (h,k)=(5,4) and r= 6

The answer would be C. 

Your welcome ;)





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8 0
3 years ago
.3% of what number is 4.8?
frutty [35]

Answer:

1600

Step-by-step explanation:

0.3% of 1600 will result to 4.8

6 0
3 years ago
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Answer:

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Step-by-step explanation:

100 x 2= 200

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3 0
3 years ago
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Answer:

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Step-by-step explanation:

6 0
3 years ago
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