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anyanavicka [17]

3 years ago

13

Amy makes the following statement: "There is a 60% chance of snow tomorrow and a 10% chance I will be late for school." What is

the probability that it will snow and Amy will be late for school?

1 answer:

alekssr [168]3 years ago

8 0

6%
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A spinner with 10 equally sized slices has 10 yellow slices. The dial is spun and stops on a slice at random. What is the probab

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1/10

Step-by-step explanation:

there are 10 slices, so if the probability of it landing on one of them is 1/10

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How do you solve right triangles in trigonometry

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In trigonometry, to solve right triangles, we use sine, cosine, and tangent (their definitions, and the laws of sine and cosine) to help us fill in the blanks. Do you need more information (I'm rusty on law of sines and law of cosines, but pretty fresh on definitions and identities).

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I need help on the answer

kodGreya [7K]

Answer:

Step-by-step explanation:

First, we have to find 1 percent of 950, then we will multiply it by 8, and then we will add the solution to 950 to see if it exceeds her budge. So:

950/100 = 9.5

9.5 (8) = 76

950 + 76 = 1026

1026 > 1000, so she does not have enough money to but the T.V.

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A lender requires a minimum down payment of 18% of the value of the home. You have $22,000 cash available to use as a down payme

MArishka [77]

$18,040. $22,000 x 18% = $3,960.
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3 years ago

You are studying the water properties of a bog in eastern Wisconsin and wish to estimate its acidity. You de ne a grid that cove

GenaCL600 [577]

Answer:

$4.8-1.453\frac{1.3}{\sqrt{82}}=4.591$

$4.8+1.453\frac{1.3}{\sqrt{82}}=5.009$

So on this case the 85% confidence interval would be given by (4.591;5.009)

And we can conclude that the true mean for the acidity at 85% of confidence is between (4.591;5.009)

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=82-1=81$

Since the Confidence is 0.85 or 85%, the value of $\alpha=0.15$ and $\alpha/2 =0.075$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.075,81)".And we see that $t_{\alpha/2}=1.453$

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

$4.8-1.453\frac{1.3}{\sqrt{82}}=4.591$

$4.8+1.453\frac{1.3}{\sqrt{82}}=5.009$

So on this case the 85% confidence interval would be given by (4.591;5.009)

And we can conclude that the true mean for the acidity at 85% of confidence is between (4.591;5.009)

6 0

3 years ago

Read 2 more answers