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rodikova [14]
2 years ago
11

A circle is placed in a square with a side length of 8 mm, as shown below. Find the area of the shaded region.

Mathematics
1 answer:
zalisa [80]2 years ago
3 0

Answer:

9.76 mm^2

Step-by-step explanation:

area of square minus area of circle = answer

area of square is 64

area of circle is pi * r squared

r is 8 ÷2 = 4

r squared is 4 * 4

area of circle is pi * 4 * 4 = pi * 16 = 50.24

64 - 50.24 = 9.76

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I need help with both questions.
Licemer1 [7]

Answer:

yeah, (891)+(038)=(193994)

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I'll help anytime you need

7 0
3 years ago
Granola Crunch cereal is packaged in 1 pound boxes. Susan Torres, a quality control analyst who works for the manufacturer of th
sineoko [7]

Answer:

z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162    

p_v =2*P(z>3.162)=0.0016    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.

Step-by-step explanation:

Data given and notation    

\bar X=1.02 represent the sample mean

\sigma=0.04 represent the population standard deviation    

n=40 sample size    

\mu_o =1 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the true mean is equal to 1 pound or no :    

Null hypothesis:\mu =1    

Alternative hypothesis:\mu \neq 1    

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:    

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)    

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic    

We can replace in formula (1) the info given like this:    

z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162    

P-value    

Since is a two-sided test the p value would be:    

p_v =2*P(z>3.162)=0.0016    

Conclusion    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.    

5 0
3 years ago
Help me please please help me
melomori [17]
It's B or C I think I'm not to sure
8 0
2 years ago
There were seventeen thousand four hundred nine people at a baseball game. What is this number in expanded form?
padilas [110]

Hi!

<h3>Expanded form is when we multiply each of the digits by how many 0s they have. </h3>

So 253 is (2 x 100) + (5 x 10) + (3 x 1).

17,000

400

9

(<u>17 x 10,000) + (4 x 100) + (9 x 1)</u>

<h2>The answer is C) (<u>17 x 10,000) + (4 x 100) + (9 x 1)</u> (which equals 17,409)</h2>

Hope this helps! :)

-Peredhel

7 0
3 years ago
The square of the quantity three less than a number n is seven(answer in an algebraic expression)
ira [324]

Answer:

(n - 3)^2 = 7

Step-by-step explanation:

From the question, we understand that the number is n.

Three less than n is:

n - 3

The square is:

(n - 3)^2

The square equals 7;

So, we have:

(n - 3)^2 = 7

5 0
3 years ago
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