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Mashutka [201]
3 years ago
10

caitlyn has $210 in her savings account and she has to pay her parents $5 each month.Santos has $90 dollars and he saves $5 doll

ars each month. At this rate, when will Caitlyn and Santos have the same amount of money ? How much will they each have?
Mathematics
1 answer:
nevsk [136]3 years ago
5 0

Answer:

After about 12 months both Caitlyn and Santos will have the same balance of 150 dollars in their bank account.

Step-by-step explanation:

Caitlyn's saving:  -5x+210

Santos' saving: 5x+90

To know when the total amount in their bank account is the same you would need to make these linear equations equal to one another.

-5x+210 = 5x+90

(Add 5x on both sides)

210=10x+90

(Subtract 90 from both sides)

120=10x

(Simplify)

x=12

After about 12 months their total savings should be the same. To check what their balance will be plug the x value of 12 into both of these equations. This should give 150 as your answer for both equations.

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A researcher gathers a sample of n=89 people to try a new
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24

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5 0
2 years ago
A medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A to
timofeeve [1]

Answer:

\frac{37}{389}

Step-by-step explanation:

Given that a  medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A total of 389 older Americans who lived at home and were in good health were studied over a three-year period. While all of the 389 people took in at least 700 milligrams of calcium and 200 units of vitamin D through their normal diet, 187 of them were given additional supplements containing 500 milligrams of calcium citrate and 70 units of vitamin D daily. Of the 187 who took additional supplements, 11 of them suffered broken bones over the three-year period. Of the 202 older Americans who did not take the additional supplement, 26 of them suffered broken bones over the study period.

                     Group I           Group II           Total

n                      187                  202                389

favour x             11                    26                  37

The fraction of older Americans who were included in the study suffered broken bones during the three-year period

=Total x/total n

= \frac{37}{389}

4 0
3 years ago
Ify is 6 when x is 3 and y varies directly with x, find y when x is 8.
Contact [7]
Y would be 16,

y=kx
6=3k
2=k
y=2(8)
y=16
4 0
3 years ago
The data in NutritionStudy include information on nutrition and health habits of a sample of people. One of the variables is Smo
Aleks04 [339]

Answer:

<em>H₀</em>: <em>p</em> = 0.20.

<em>Hₐ</em>: <em>p</em> ≠ 0.20.

Step-by-step explanation:

The question is:

The data in Nutrition Study include information on nutrition and health habits of a sample of 315 people. One of the variables is Smoke, indicating whether a person smokes or not (yes or no). Use technology to test whether the data provide evidence that the proportion of smokers is different from 20% given that 43 identify themselves as smokers. Clearly state the null and alternative hypotheses

In this case we need to test whether the proportion of smokers is different from 20%.

A one-proportion <em>z</em>-test can be used to determine the conclusion for this test.

The hypothesis defined as:

<em>H₀</em>: The proportion of smokers is 20%, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: The proportion of smokers is different from 20%, i.e. <em>p</em> ≠ 0.20.

The information provided is:

<em>n</em> = 315

<em>X</em> = number of people who identified themselves as smokers = 43

Compute the sample proportion of smokers as follows:

\hat p=\frac{X}{n}=\frac{43}{315}=0.137

Compute the test statistic as follows:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.137-0.20}{\sqrt{\frac{0.20(1-0.20)}{315}}}=-2.80

The test statistic is -2.80.

Compute the <em>p</em>-value as follows:

p-value=2\times P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.00512.

The <em>p</em>-value is quite small. So, the null hypothesis will be rejected at any significance level.

Thus, it can be concluded that the  proportion of smokers is different from 20%.

6 0
3 years ago
Is the number 5 prime, composite, or neither?
OlgaM077 [116]

Answer:

A number that is divisible only by itself and 1 

therefore 5 is a prime number

3 0
2 years ago
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