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krek1111 [17]
2 years ago
11

Circle D is shown. Line segment C D is a radius with length 18 centimeters. Which statements are true regarding the area of circ

le D? Select two options. The area of the circle depends on the square of the radius. The area of circle D is 36Pi centimeters squared. The area of circle D is 324Pi centimeters squared The area of the circle depends on the square of pi. The area of the circle depends on the central angle.
Mathematics
2 answers:
saul85 [17]2 years ago
3 0

Answer:

I just took the test, it's 1 and 3

Step-by-step explanation:

Oksana_A [137]2 years ago
3 0

Answer:

The answer is 1) The area of the circle depends on the square of the radius.

and 3) The area of circle D is 324Pi centimeters squared.

Step-by-step explanation:

The reason 3) is the answer is because when you are finding the area of the circle the equation is...

Area = Pi r^2      meaning that that the equation would be A=3.14(18^2)

which equals...

324 Pi cm^2

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X=a-2by(2) make y the subject
sladkih [1.3K]

Answer:

y = √{(a - x)/2b}

Step-by-step explanation:

x=a-2by²

2by² = a - x

divide through by 2b

y² = (a - x)/2b

y = √{(a - x)/2b}

3 0
2 years ago
A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev
Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

Using the information of a n= 100 sample, the following data was calculated:

R²= 0.23

                Coefficient    Standard Error  

Intercept    25675.5           11393

x                  5321                  2119

The estimated equation is

^Y= 25675.5 + 5321X

Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

H₀: β = 0

H₁: β ≠ 0

There are two statistic you can use to make this test, a Student's t or an ANOVA F.

Since you have information about the estimation of  β you can calculate the two tailed t test using the formula:

t= \frac{b - \beta }{\frac{Sb}{\sqrt{n} } } ~t_{n-2}

t= \frac{ 5321 - 0 }{\frac{2119}{\sqrt{100} } } = 25.1109

The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated t_{H_0} under the distribution t_{98}

p-value < 0.00001

I hope it helps!

3 0
2 years ago
What are the differences among an experiment, a study, and a survey? Complete the explanation of the differences by selecting th
artcher [175]

Answer:

The full question is

<em>What are the differences among an experiment, a study, and a survey? </em>

<em> </em>

<em>1. In an observational study, randomization of subjects ______ </em>

<em>A. occurs </em>

<em>B. does not occur </em>

We understand randomization as a random process of assigning experimental subjects to treatment groups. Through this process, we have more control about variables which are not related to the experiment.

In an observational study, the researcher doesn't change anything, he or she studies the events as they are, without using any randomization process.

Therefore, the right answer here is B.<em> </em>

<em />

<em>2. A survey _______ </em>

<em>A. poses no interference on subjects </em>

<em>B. makes inferences about a population </em>

<em> </em>A survey poses no interference on subjects, actually if it does, then that survey is not reliable. An important charactersitic of a survey is that it must be objective, that way it will be reliable enough to use it in the research.

Therefore, the right answer is A.

<em />

<em>3. In an experiment, ___________ to discern differences in a response variable. </em>

<em>A. treatment is imposed </em>

<em>B. inferences are made </em>

<em>C. randomization does not occur</em>

Experiments are characterized by having certain "stimulus" at least in one group of subjects, that way researches compare data sets to prove their hypothesis.

Therefore, the right answer here is A.

<em />

8 0
2 years ago
A student walks 1/4 Mile from her home to the store on her way to a friend's house if the store is 1/3 of the way to a friend's
exis [7]

the store is 1/3 the way to her friend's house, not 1/3 mile.

this explains solution:

1/3x = 1/4

x = 1/4 * 1/3

x = 3/4

Notes:

X: is the total distance.

1/3 is the one portion of total distance.

1/4 mile is the distance store.

3 0
2 years ago
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.
bazaltina [42]
<span>45% -------------------------------chance that the land has oil

then
55</span>%--------------------------------chance that the land not have oil

<span>80% -------------------accuracy rate of indicating oil in the soil. (if land does have oil)
20</span>% -------------------accuracy rate of indicating not oil in the soil. (if land does have oil)

20% ---------------------accuracy rate of indicating oil in the soil. (if land has not oil)
80% ---------------------accuracy rate of indicating not oil in the soil. (if land has not oil)

 that the land has no oil----------------55%
 the test shows that it has oil-------- 20%
then 0.55*0.20=0.11=11%
the probability that the land has no oil and the test shows that it has oil is 11%
3 0
2 years ago
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