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3 years ago

What is the growth or decay and the percentage rate of Y=23(0.292)^x

Mathematics

1 answer:

torisob [31]3 years ago

5 0

Answer:

So the decay percentage rate is of 70.8%

Step-by-step explanation:

An exponentil function has the following format:

$y = ca^{x}$

In which c is a constant.

If a>1, we have that a = 1 + r and r is the growth rate.

If a<1, we have that a = 1 - r and r is the decay rate.

In this problem:

a = 0.292

A is lesser than 1, so r is the decay rate.

1 - r = 0.292

r = 1 - 0.292

r = 0.708

So the decay percentage rate is of 70.8%

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3 years ago

What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.

photoshop1234 [79]

Answer:

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Step-by-step explanation:

Formula:

$\sf volume \ of \ a \ cone=\dfrac13\pi r^2h$

Given:

r = 2 in
h = 8 in
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Substituting the given values into the formula:

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2 years ago

Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood c

Alla [95]

Answer:

a) $\hat p=\frac{148}{4167}=0.036$

b) $0.0355 - 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.030$

$0.0355 + 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.041$

Step-by-step explanation:

The sample proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Part a

The estimated proportion for this case can be calculated like this:

$\hat p=\frac{148}{4167}=0.036$

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: