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andrew-mc [135]
3 years ago
14

Kerry is collecting money for school. Her goal is to get $200. She has collected $15 each from 12 people so far. How much more m

oney does she need to reacch her goal?
Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

20 dollars

Step-by-step explanation:

15 dollars times 12 people to see how much money she got/has right now is 180 dollars

then take 200-180 to get <u>20</u>

You might be interested in
What is the equivalent fraction for 35/42
Lubov Fominskaja [6]

Answer:

An equivalent fraction is 5/6

Step-by-step explanation:

In order to find this, divide both parts of the fraction by 7.

35/7 = 5

42/7 = 6

Now we can put this back together as a fraction.

5/6

7 0
3 years ago
Read 2 more answers
A tire manufacturer is considering a newly designed tread pattern for its all-weather tires. Tests have indicated that these tir
Nataly_w [17]

Answer:

With outlier (102)

t=\frac{126.2-125}{\frac{9.138}{\sqrt{10}}}=0.415      

p_v =P(t_{9}>0.415)=0.344    

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 125 feet at 5% of significance.    

Without outlier (102)

t=\frac{128.89-125}{\frac{3.551}{\sqrt{9}}}=3.285      

p_v =P(t_{8}>3.285)=0.0056  

And we conclude that we reject the null hypothesis since p_v. So the final conclusion would be not use the method since the value of 102 observed can be a potential outlier, removing this value we see that we reject the null hypothesis and we have a significant result that the true mean is higher than 125.

Step-by-step explanation:

Previous concepts  and data given  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Data: 129, 128, 130, 132, 135, 123, 102, 125, 128, 130

We can calculate the mean with the following formulas:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

\bar X=126.2 represent the sample mean    

s=9.138 represent the sample standard deviation  

n=10 represent the sample selected  

\alpha significance level    

State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean is significantly higher than 125, the system of hypothesis would be:    

Null hypothesis:\mu \leq 125    

Alternative hypothesis:\mu > 125    

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:    

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic  

We can replace in formula (1) the info given like this:    

t=\frac{126.2-125}{\frac{9.138}{\sqrt{10}}}=0.415      

P-value  

First we need to calculate the degrees of freedom given by:

df=n-1=10-1= 9

Then since is a right tailed sided test the p value would be:    

p_v =P(t_{9}>0.415)=0.344    

Conclusion    

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 125 feet at 5% of significance.    

Using all the data we see that we don;t have enough info to conclude that the true mean is higher than 125, but if we see careful 9 of the 10 values are over the limit of 125 feet. And if we repeat the procedure with the outlier of 102. We got this:

\bar X=128.89 represent the sample mean    

s=3.551 represent the sample standard deviation

t=\frac{128.89-125}{\frac{3.551}{\sqrt{9}}}=3.285      

First we need to calculate the degrees of freedom given by:

df=n-1=9-1= 8

Then since is a right tailed sided test the p value would be:    

p_v =P(t_{8}>3.285)=0.0056  

And we conclude that we reject the null hypothesis since p_v. So the final conclusion would be not use the method since the value of 102 observed can be a potential outlier removing this value we see that we reject the null hypothesis and we have a significant result that the true mean is higher than 125.

8 0
3 years ago
Name a combination of coins that is 65% of the value of a dollar. (SHOW LIst of combination<br>​
svet-max [94.6K]

We need a combination of coins that equal 65 cents.

The easiest one is 13 nickels.

Another combination is 6 dimes and 1 nickel.

A third is 2 quarters, 1 dime, and 1 nickel.

The list goes on.

---

hope it helps

4 0
3 years ago
The Marked price of an article is rupees 5000 .This price is 25% above the cost price. If the article is sold by allowing 10% di
Brilliant_brown [7]

Answer: 13%

Step-by-step explanation:

Step 1:

5000

10% of 5000=500

5% of 5000=250

25%=500+500+250= 1250 rupees

so...

5000-1250= 3750 INR, which is the original price, <u>BEFORE THE 25% WAS ADDED</u>

but..

They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find  15%, because 25%-10%=15%

so if...

10%=500

5%=250

15%=750 INR

this means the price with the 10% discount off 25%= 4250 INR (5000-750)

now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added

e.g 4250-3750= 500INR

Then.. divide this price with the original price before the 25% was added

e.g 500/3750= 2/15=0.13

So...

Convert 0.13 into a percentage=13%

The PERCENTAGE PROFIT of the owner is 13%

P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you

3 0
2 years ago
Aubrey played on the playground 2 1/2 hours.How many minutes did she play?
natta225 [31]
I believe Aubrey played for 150 minutes
3 0
3 years ago
Read 2 more answers
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