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Free_Kalibri [48]
3 years ago
5

The radius of a circle is 5 m. Find its area to the nearest tenth.

Mathematics
1 answer:
OLga [1]3 years ago
3 0

The area would be 78.54

Step-by-step explanation:

Here's why:

By using the area of a circle formula, you should plug in the radius and get the following of:

π5^2 = 78.539...

If you round to the nearest tenth you would get the answer of 78.54.

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A psychologist obtains a random sample of 2020 mothers in the first trimester of their pregnancy. The mothers are asked to play
leva [86]

Answer:

First of all, we need to determine the system of hypothesis, which must have a null and alternative hypothesis.

In all hypothesis proof procedure, we must work with the null one, rejecting it or accepting it. If we reject the null hypothesis, it will mean that our principal hypothesis is true.

According to the problem, the null hypothesis must be: H_{o} : u = 100; because it says that 100 is the normal mean that is used.

The alternative hypothesis must be: H_{a} : u > 100; because the question is asking if there's enough evidence to say that they children have a higher IQ than 100.

Then, we must calculate the P-value, which is the probability value that we are gonna use to accept or reject the null hypothesis. This P-value we can calculate it with the formula: Z=\frac{x-u}{\frac{o}{\sqrt{n} } }; where x is the sample mean, u is the hypothetical mean parameter, o is the sample deviation and n is the sample.

Extracting all values from the problem: x = 104.3; u = 100; o = 14 and n = 20.

Applying all values to the formula: Z=\frac{104.3 - 100}{\frac{14}{\sqrt{20} } } = \frac{4.3}{\frac{14}{ 4.5} }=\frac{4.3}{3.1}=1.4

Then, this Z-value will give us the P-value by using the Z-table with the 0.05 level of significance. In table attached, we can see that the result is 0.9265. However, the P-value is 1 - 0.9265 = 0.735. We need to do this subtraction because, the result 0.9265 belong to the bigger area (as it's shown is the image in blue colour), and we need the smaller area, which belong to the 0.05 level of significance.

<em>In this problems, if the P-value is more than the level of significance, the null hypothesis is accepted. If the P-value is less than the level of significance the null hypothesis is rejected.</em>

Therefore, there is no enough evidence to say that the sample children have higher IQs, because the P-value is higher than the level of significance. (0.735>0.05).

5 0
2 years ago
it cost $35 for one adult and two children to attend a show. It cost $60 for two adults and three children to attend the same sh
N76 [4]
Assume that,
adult = x
child = y

x+2y = 35 (1st equation)
2x+3y = 60 (2nd equation)
x = 35-2y (3rd equation)

Substitute 3 into 2 :

2(35-2y) + 3y =60
70-4y +3y = 60
y = 10

x+2y = 35
x+2(10) =35
x +20 =35
x = 15

One adult = $15


7 0
3 years ago
Which fraction is larger 7/16 or 51/100?
zaharov [31]
51/100 would be larger
From the first look, I already know half of 100 is fifty and 51 is greater than that
So when I looked at 7/16, I was looking for something greater than half, but 7 is greater than half of 16.
51/100 is your answer
5 0
3 years ago
Read 2 more answers
Do you estimate that 200 people attend a school concert. The actual attendance was 240 people find the percent error
harkovskaia [24]
The percent error is 20%.
3 0
3 years ago
What is the length of each leg of the triangle below?
Sergio039 [100]
I have included the answer and work in the picture attached below (the side length for the bottom leg is cut off, but it is 16 sqrt(2)):

4 0
3 years ago
Read 2 more answers
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