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FinnZ [79.3K]
2 years ago
10

Adam runs 100m in 14.5 seconds. Jenny runs the same distance 10% faster. How long does it take for Jenny to finish?

Mathematics
1 answer:
Elena-2011 [213]2 years ago
5 0

The time taken for Jenny to run the same distance at 10% faster is 13.05 seconds

<h3>Percentage</h3>

  • Distance Adam runs = 100m
  • Time taken by Adam = 14.5 seconds
  • Distance Jenny runs = 100m

Time taken by Jenny = 14.5 - (10% × 14.5)

= 14.5 - (0.1 × 14.5)

= 14.5 - (1.45)

= 13.05 seconds

Therefore, the time taken for Jenny to run the same distance is 13.05 seconds

Learn more about percentage:

brainly.com/question/843074

#SPJ1

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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
At a kennel, the ratio of dogs to cats was 4to9. if there were 64 dog s how many cats were there
hichkok12 [17]
Dogs. Cats.
4. To. 9

64. To. ?

I solved this by guess-timating, and i got it right. I know that 8*8=64 and 4*2=8 8*2=16, and i checked and got 16*4=64.
Since you do:

Dogs:4 * 16= 64
You have to do:
Cats:9 * 16= # of cats
And 9*16=144,

So there are 144 cats at the kennel
8 0
3 years ago
Convert 0.815 into a fraction in the simplest form. Explain please.
anastassius [24]

Answer:

815/1000=163/200 is the simplest form.

8 0
3 years ago
(10 7)x(8-6)-8 square
Ann [662]
The answer is 76 total
4 0
4 years ago
I dont know how to use the pythagorean threom<br> NO LINKS PLEASE HELP ASAP PLSSS
Leokris [45]

Answer:

480 in²

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c², where "a" and "b" are side lengths of a right triangle, and c is the hypotenuse of the right triangle. We are given a side length of 30 inches and a hypotenuse of 34 inches, which will be "a" and "c" respectively. Therefore, we can solve for b, the missing side length:

a²+b²=c²

30²+b²=34²

900+b²=1156

b²=256

b=16

Therefore, the missing side length is 16 inches, making the area of the triangle A=bh=(30)(16)=480 in².

5 0
3 years ago
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