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3 years ago

14

The Hiking Club plans to go camping in a state park where the probability of rain on any given day is 0.66. What is the probabil

ity that it will rain on exactly one of the seven days they are there? Round your answer to the nearest thousandth.

1 answer:

vazorg [7]3 years ago

3 0

The approximate answer is .20

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Two brands of AAA batteries are tested in order to compare their voltage. The data summary can be found below.

garik1379 [7]

Answer:

The 95% confidence interval would be given by $0.281 \leq \mu_1 -\mu_2 \leq 0.529$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X_1 =9.2$ represent the sample mean 1

$\bar X_2 =8.8$ represent the sample mean 2

n1=27 represent the sample 1 size

n2=30 represent the sample 2 size

$\sigma_1 =0.3$ population standard deviation for sample 1

$\sigma_2 =0.1$ population standard deviation for sample 2

$\mu_1 -\mu_2$ parameter of interest.

Solution to the problem

The confidence interval for the difference of means is given by the following formula:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2}\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}$ (1)

The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =9.2-8.8=0.4$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $t_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$0.4-1.96\sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}=0.281$

$0.4+1.96\sqrt{\frac{6^2}{36}+\frac{7^}{49}}=0.519$

So on this case the 95% confidence interval would be given by $0.281 \leq \mu_1 -\mu_2 \leq 0.529$

6 0

3 years ago

How many times does 16 go in 41

charle [14.2K]

41/16
=2.5625
so it goes into 41 2 times

4 0

3 years ago

Gianni used 6 gb out of 8 gb includes in his cell phone plan. What percent of his data did he use

alex41 [277]

Answer:

75%

Step-by-step explanation:

If he used 6 out of 8 gb of his cell phone plan we can write that as a fraction as 6/8.

We can simplify 6/8 to 3/4. And 3/4 when divided is equal to 0.75 which when written as a fraction is 75%.

I hope this helps!

7 0

3 years ago

SEND HELP YO Find and simplify the area (You need to completely multiply it out and include units in your answer):

Ad libitum [116K]

Answer:

$Area = 2m^8 - 6m^4 + 4.5$

Step-by-step explanation:

Given

$Base = 2m^4 - 3$

$Height = 2m^4 - 3$

Required

The area

This is calculated as:

$Area = 0.5 * Base * Height$

$Area = 0.5 * (2m^4 - 3) * (2m^4 - 3)$

Open brackst

$Area = 0.5 * (4m^8 - 6m^4 - 6m^4 + 9)$

$Area = 0.5 * (4m^8 - 12m^4 + 9)$

Open bracket

$Area = 2m^8 - 6m^4 + 4.5$

5 0

2 years ago

An 8 oz glass of grape juice contains 0.6 mg of iron. About what percent of RDA of iron for an 15 year old male is provided by 8

babymother [125]

Answer:

5.45%

Step-by-step explanation:

To find info of a 15 year old male, you look at the Age Group of 14 - 18, beside Male.

The RDA of Iron is given as 11 mg

From a 8 oz glass of grape juice, he gets 0.6 mg.

<em>What percent is 0.6 mg of total 11 mg??</em>

Divide 0.6 by 11 and then multiply by 100 to get the answer. So we have:

$\frac{0.6}{11}=0.0545*100=5.45$

Thus, 5.45% of RDA of iron is provided by an 8 oz glass of grape juice.

6 0

3 years ago