3 years ago

Simplify 3/5(10g-5k)-(-3g+2k)

Mathematics

1 answer:

dybincka [34]3 years ago

6 0

Answer:

9g -5k

Step-by-step explanation:

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3 years ago

Five out of ten bags of candy had exactly 30 pieces in them. How many bags out of 40 should have exactly 30 pieces?

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<h2>Answer with explanation:</h2>

Let $\hat{p}$ denotes the sample proportion.

As per given , we have

n= 200

$\hat{p}=\dfrac{30}{200}=0.15$

Critical value for 99% confidence : $z_{\alpha/2}=2.576$

Confidence interval for population proportion :-

$\hat{p}\pm z_{\alpha/2} \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.15\pm (2.576)(\sqrt{\dfrac{0.15(1-0.15)}{200}})\\\\\approx0.15\pm0.065\\\\=(0.15-0.065,\ 0.15+0.065)\\\\=(0.085,\ 0.215)$

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The lower limit on the 99% confidence interval = 0.085

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