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MatroZZZ [7]
3 years ago
12

Find the length of the arc

Mathematics
1 answer:
pickupchik [31]3 years ago
5 0

Answer:

23.6 or 1 4 × π × 8 = 2 π  if its not right let me know

Step-by-step explanation:

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Not Answered Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal f
ehidna [41]

Answer:

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}    

z=\frac{0.410-0.350}{\sqrt{0.382(1-0.382)(\frac{1}{1000}+\frac{1}{900})}}=2.688    

p_v =2*P(Z>2.688)= 0.0072    

Comparing the p value with the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportions analyzed are significantly different at 5% of significance.

Step-by-step explanation:

Data given and notation    

X_{1}=410 represent the number of people indicating that their financial security was more than fair  in 2012

X_{2}=315 represent the number of people indicating that their financial security was more than fair in 2010

n_{1}=1000 sample 1 selected  

n_{2}=900 sample 2 selected  

p_{1}=\frac{410}{1000}=0.410 represent the proportion estimated of people indicating that their financial security was more than fair in 2012

p_{2}=\frac{315}{900}=0.350 represent the proportion estimated of people indicating that their financial security was more than fair in 2010  

\hat p represent the pooled estimate of p

z would represent the statistic (variable of interest)    

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

\alpha=0.05 significance level given  

Part a: Concepts and formulas to use    

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:    

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}    

Hypothesis testing

We need to apply a z test to compare proportions, and the statistic is given by:    

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{410+315}{1000+900}=0.382  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.    

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:    

z=\frac{0.410-0.350}{\sqrt{0.382(1-0.382)(\frac{1}{1000}+\frac{1}{900})}}=2.688    

Statistical decision  

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

p_v =2*P(Z>2.688)= 0.0072    

Comparing the p value with the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportions analyzed are significantly different at 5% of significance.

3 0
4 years ago
Write the SLOPE-INTERCEPT FORM of the equation of the line through the given points by USING POINT-SLOPE FORM.
aivan3 [116]
When solving the slope you have to do this formula
y-y
2  1
------
x-x
2  1
The answer is -4/-5
3 0
3 years ago
If 2<=<14, which two lines are parallel ?
frutty [35]

Answer:

C and D

Step-by-step explanation:

Its that simple

6 0
4 years ago
please help mee!! will mark brainliest! "the Kuna Caveman football team won 75% of their games. If they won 9 games, how many ga
almond37 [142]

Answer:

12 games

Step-by-step explanation:

Let x be the number of games played

The y won 75% of the games played and that was 9

x * 75% = 9

Change to decimal form

x * .75 = 9

Divide each side by .75

x * .75 /.75 = 9/.75

x =12

They played 12 games

4 0
3 years ago
Read 2 more answers
Daniella accidentally left the drain partially open as she began filling the bathtub. The amount of water, in gallons, pouring i
jok3333 [9.3K]

Answer:

k(x) = 6x

Step-by-step explanation:

A function shows the relationship between two or more variables. It shows the relationship between an independent and a dependent variable.

Given that the amount of water being poured into the tube is given by f(x) = 12x, where x is in minutes and the amount of water draining out of the tub is given by the function g( x )=6x. The amount of water remaining in the tube after x minutes is gotten by finding the difference between the amount of water entering the tube and the amount leaving the tube after x minutes. If k is the function representing the amount of water in the tube after x minutes, it is given by:

k(x) = f(x) - g(x)

k(x) = 12x - 6x

k(x) = 6x

3 0
3 years ago
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