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RideAnS [48]
3 years ago
12

Help with number 15 please ?!

Mathematics
2 answers:
VMariaS [17]3 years ago
7 0

Answer:

18.8

Step-by-step explanation:

Alborosie3 years ago
3 0

Answer:

Step-by-step explanation:

15)We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^t

Where

y represents the population of students after t years.

t represents the number of years.

b represents the initial population of students.

r represents growth rate.

From the information given,

b = 9

r = 15% = 15/100 = 0.15

Therefore, the exponential growth function is

y = 9(1 + 0.15)^t

y = 9(1.15)^t

In 2008, t = 2008 - 2001 = 7 years

y = 9(1.15)^7

y = 24 students

16) the formula for exponential decay is expressed as

y = b(1 - r)^t

b = 24500

r = 4% = 4/100 = 0.04

Therefore, the exponential decay function is

y = 24500(1 - 0.04)^t

y = 24500(0.96)^t

In 2020, t = 2020 - 1970 = 50 years

y = 24500(0.96)^50

y = 3182 people

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rodikova [14]

Answer:

AC ≈ 2.87

Step-by-step explanation:

Using the sine ratio in the right triangle

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Multiply both sides by 5

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Alexxandr [17]

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Use the given information to find the p​-value. ​Also, use a 0.05 significance level and state the conclusion about the null hyp
Hatshy [7]

Answer:

We can assume that the statistic is z_{calc}=0.78

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

Step-by-step explanation:

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:  

Null hypothesis:p=3/5  

Alternative hypothesis:p \neq 3/5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

We can assume that the statistic is z_{calc}=0.78

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

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