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Valentin [98]
2 years ago
12

Two-Variable Statistics:Question 2

Mathematics
1 answer:
butalik [34]2 years ago
8 0
I think it is your second option 5
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A circle with radius of 3cm sits inside a 8 cm x 7cm rectangle what is the area of the shaded region?
Temka [501]

Answer:

You have to say which one is the shaded region the circle or the rectangle

Step-by-step explanation:

5 0
3 years ago
Terrion and Johnny are racing across the football field during practice. Terrion has run 89/100 of the field, and Johnny has run
stepan [7]

Answer:

They ran it equally

Step-by-step explanation:

89/100 equals 0.89: 89 divided by 100 = 0.89.

4 0
2 years ago
Suppose a lawn and garden company wants to determine the current percentage of customers who use fertilizer on their lawns. How
marishachu [46]

Answer:

n=601

Step-by-step explanation:

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".  

The population proportion have the following distribution

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

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:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.04 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.96})^2}=600.25  

And rounded up we have that n=601

3 0
3 years ago
Please help I will give 10 pt
Mrac [35]

The expressions 100×10 and the more complicated

(100 - 4a)(10 + a)

are calculating annual (expected) revenue.  In 100×10 the 100 is the number of decks and the 10 is the price per deck.  In (100 - 4a)(10 + a) the 100-4a is the number of decks and the 10+a is the price per deck.  So a must be the amount the price increases.

Answer: amount of price increase, last choice

4 0
3 years ago
Read 2 more answers
What is the solution to the equation?
KIM [24]
No solution (D)
Answer = -1
3 0
3 years ago
Read 2 more answers
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