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2 years ago

3. The parents of a newborn girl want to invest $1000 in some kind of saving plan that their child could

Mathematics

1 answer:

andrew11 [14]2 years ago

5 0

Answer:

A. 1000x75t=i

B. 1000(1+5%/n)^t

Step-by-step explanation:

i=prt interest principle rate time

a=p(1+r/n)^t amount principle rate number of times interest is compound time

<em>Hope this helps.</em>

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69.5 is What precent of 85?

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69.5 percent of 85 is 59.075

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Find the area of the figure. Use 3.14 for π.

siniylev [52]

Answer:

Area of the figure= $51.5feet^2$

Step-by-step explanation:

Area of the figure=Area of the middle rectangle+ Area the the two triangles

Area of the rectangle=Length*Width

$Length= 8+3 =11 feet\\\\Width=4 feet$

$Area = 11*4\\\\ =44 feet^2$

Area of the triangle with the height of 2 feet and base= 3 feet

Area= $\frac{1}{2} *Base*Height$

= $=\frac{1}{2} *3*2\\\\=\frac{1}{2}*6\\\\ =3 feet^2$

Area of the triangle with the Height=3 feet and Base= 3 feet

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Total Area of the figure $=44+3+4.5=51.5 feet^2$

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Step-by-step explanation:

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Sarah claims that the thickness of the spearmint gum she produces is 7.5 one-hundredths of an inch. A quality control specialist

satela [25.4K]

Answer:

$t=\frac{7.55-7.5}{\frac{0.103}{\sqrt{10}}}=1.539$

$p_v =2*P(t_{(9)}>1.539)=0.158$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis.

Step-by-step explanation:

Data given and notation

Data: 7.65, 7.60, 7.65, 7.7, 7.55, 7.55, 7.4, 7.4, 7.5, 7.5

We can begin calculating the sample mean given by:

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

And the sample deviation given by:

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

And we got:

$\bar X=7.55$ represent the sample mean

$s=0.103$ represent the sample standard deviation

$n=10$ sample size

$\mu_o =7.5$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 7.5 or no, the system of hypothesis would be:

Null hypothesis: $\mu = 7.5$

Alternative hypothesis: $\mu \neq 7.5$

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:

$t=\frac{7.55-7.5}{\frac{0.103}{\sqrt{10}}}=1.539$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=10-1=9$

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

$p_v =2*P(t_{(9)}>1.539)=0.158$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis.

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guapka [62]

The value of 8 is in the hundred thousands

hope this helps

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