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OverLord2011 [107]
3 years ago
5

What is the geometric mean of 2 and 8?

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

Answer:

The geometric mean of 2 and 8 comes out to equal 4.

Step-by-step explanation:


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Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?
Stells [14]
First, you need to get to one gallon, which is 37.20 divided by 12. (3.1)
Divide that number by four, which is: 0.775, or 0.78 rounded up to the nearest hundredth.
Hope that helped.
7 0
3 years ago
Read 2 more answers
Two in-line skaters, Nell and Kristin, start from the same point and skate in the same direction. Nell skates at 16 miles per ho
Paha777 [63]
First, we count how far reached the Nell:
3,5 * 16 = 56 miles

Secondly, we count how far reached the Kristin:
3,5 * 18 = 63 miles

Now we expect the difference in the distance between them:
63 - 56 = 7 miles

The results that Kristin about seven miles driven more than Nell.
8 0
2 years ago
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
What is the equation of the line that passes through the point (6, 4) and has a slope<br> of -2/3
ozzi
The equation would be y = -2/3x + 8
4 0
2 years ago
On a trip, you had to change your money from dollars to British pounds. You got 560 pounds for 800 dollars. How many pounds will
Lera25 [3.4K]

Answer:

210 pounds

Step-by-step explanation:

First, we are going to find the exchange rate from dollars to pounds.

We know form our problem that 800 dollars are 560 pounds. so:

\frac{560pounds}{800dollars} =0.7

800dollars

560pounds

=0.7 pounds per dollar.

Next, we are going to multiply our exchange rate by the number of dollars we want to change, 300:

300dollars*\frac{0.7pounds}{dollar} =210pounds300dollars∗

dollar

0.7pounds

=210pounds

We will get 210 pounds for 300 dollars

5 0
3 years ago
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