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Umnica [9.8K]
3 years ago
12

The area of a circle is 36/pi cm^2 What is the radius of the circle?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0

Answer:

the  radius of the circle is 6cm

Step-by-step explanation:

the area of a circle is given to be  = 36πcm²

radius of the circle = ?

to find the radius of the circle lets start by applying  the formula for finding the area of a circle.

area of a circle = πr²

36πcm² = πr²

36π = πr²

divide both sides by π

36π/π = πr²/π

36 = r²

to get the value of r we are going to look for a way of getting rid of the square on "r" by squaring 36

r² = 36

r =√36

r = 6cm

therefore the  radius of the circle is 6cm

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How many times is 5 x 10e 6 larger than 5 x 10e4 ?
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Answer:

100 times

Step-by-step explanation:

10^6 - 10^4 = 10^2

10^2 is 100

4 0
3 years ago
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th
Verizon [17]

Answer:

(21.9-19.8) -1.966\sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 1.422

(21.9-19.8) -1.966 \sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 2.778

And we are 95% confident that the true difference means are between 1.422 \leq \mu_1 -\mu_2 \leq 2.778

Step-by-step explanation:

We know the following info:

\bar X_1 = 21.9 sample mean for group 1

\bar X_2 = 19.8 sample mean for group 2

s_1 = 3.4 sample standard deviation for group 1

s_2 = 3.5 sample standard deviation for group 2

n_1 = 200 sample size group 1

n_2 = 200 sample size group 2

We want to find a confidence interval for the difference of means and the correct formula to do this is:

(\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}

Now we just need to find the critical value. The confidence level is 0.95 then the significance is 1-0.95 =0.05 and \alpha/2 =0.025. The degrees of freedom are given by:

df= n_1 +n_2 -2= 200+200-2= 398

The critical value for this case would be :t_{\alpha/2}=1.966  

And replacing into the confidence interval formula we got:

(21.9-19.8) -1.966\sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 1.422

(21.9-19.8) -1.966 \sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 2.778

And we are 95% confident that the true difference means are between 1.422 \leq \mu_1 -\mu_2 \leq 2.778

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3 years ago
In ANOVA analyses, when the null hypothesis is rejected, we can test for differences between treatment means by ________. Group
nikklg [1K]

Answer:

When conducting an analysis of variance analysis on a set of samples and the null hypothesis is rejected, we can test for the difference between treatment can be tested with the aid of a t-test. This is employed when 2 related groups are involved. Independent sample, paired sample or one-sample t-test can be conducted.

Step-by-step explanation:

A t-test is a test statistic used to make inferences that determine the differences that exist statistically between 2 related groups. It tells us if the 2 groups tested are from the same population. There are 3 types of t-test namely independent sample t-test, paired-sample t-test and one-sample t-test

5 0
3 years ago
Marcus wants to use a model to determine the difference
grigory [225]

Electron transfer theory describes the parameters which control the rate at which an electron is transferred from one atom or molecule to another.

<h3>What was the basic principle of Marcus theory?</h3>
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  • Marcus Hush theory (M-H theory) was developed in 1956 by Rudolph A. Marcus which explains the fundamentals of the redox/ electron transfer reactions in terms of the rate of jumping/moving an electron from oxidant species (electron donor) to the reductant (electron acceptor).
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We want to see how we can model the difference: -8 - 3 + 3

The correct option is D:

"add 3 positive counters and 3 negative counters"

We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.

Now, let's study the math of our expression.

-8 - 3 + 3

Remember that we can perform the operation in any order we want, so we can write this as:

-8 + (-3 + 3)

Notice that the thing inside the parentheses is equal to zero, so we have:

- 8 + (-3 + 3) = -8

So to not change the value, we add 3 and we subtract 3.

Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.

Then the correct option is D.

To learn more about Marcus refer to,

brainly.com/question/23140234

#SPJ1

8 0
1 year ago
8=4y-8+4 solve the equation
Yuliya22 [10]

Answer:

y=3

Step-by-step explanation:

4y-8+4=8

4y-4=8

4y-4+4=8+4

4y=12

4y/4=12/4

y=3

3 0
3 years ago
Read 2 more answers
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