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Black_prince [1.1K]
3 years ago
14

8=8^4x? What goes on the question mark?

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

Answer:

8^1 = 8

So, x has to be 1/4 to make the exponent 1, and to make it equal to 8.

Let  me know if this helps!

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g A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is cha
leva [86]

Answer:

Null hypothesis:p_{1} = p_{2}    

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

z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502    

p_v =2*P(Z>2.502)= 0.0123    

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 proportion analyzed is significantly different between the two groups 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 for the recent year

X_{2}=245 represent the number of people indicating that their financial security was more than fair for the year before

n_{1}=1000 sample 1 selected  

n_{2}=700 sample 2 selected  

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

p_{2}=\frac{245}{700}=0.35 represent the proportion estimated of indicating that their financial security was more than fair the year before

\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 significance level given  

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}    

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+245}{1000+700}=0.385  

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{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502    

Statistical decision  

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

p_v =2*P(Z>2.502)= 0.0123    

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 proportion analyzed is significantly different between the two groups at 5% of significance.    

7 0
3 years ago
It took Amber 5 hours 16 minutes to finish a race. Her time at the halfway marker was 2 hours 49 minutes. How long did it take A
KIM [24]
3hr 33 min I guess not really sure
8 0
3 years ago
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Diego says that 108 cubes with an edge length of 1/3 inch are needed to fill a rectangle prism that is 3 inches by 1 inch by 1 1
RUDIKE [14]

Answer:

Step-by-step explanation:

Option C) 4 cubic inches is the volume of the rectangular prism. Step-by-step explanation: It is given that, 108 cubes with an edge length of 1/3 inch are needed to fill a rectangular prism. Therefore, the volume of the rectangular prism is equal to the volume of the 108 cubes needed to fill that rectangular prism.

3 0
3 years ago
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Question Solve for x 3x = x + 8​
Viktor [21]

Answer:

x=4

Step-by-step explanation:

here's our equation: 3x=x+8

Our goal: to isolate x onto one side with nothing else on that side.

x is on both sides; we can subtract x from both sides to make the variables and numbers be on different sides

2x=8

Now we can divide by 2

x=4

Hope this helps! :)

4 0
3 years ago
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Number 2: (look at pivture) 10 point
PolarNik [594]

Answer:

A

Step-by-step explanation:

Because the arrow is going 2 in the right direction...so you have to have the 2 in the equation...

and the reason it equals 5 instead of a (-) number is because of the KCC rule

so basically the equation is 2+3

or if you don't want the long way just look at all of the equations...only one of the have a 2 in it so it is automatically the correct answer

3 0
3 years ago
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