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Yakvenalex [24]
1 year ago
11

132 days to 125.4 days percent of change

Mathematics
2 answers:
sp2606 [1]1 year ago
8 0
.05% of change is the answer
Evgen [1.6K]1 year ago
5 0

Answer:

132 days to 125.4 days percent of change

Step-by-step explanation:

p= N-O/O x 100% where p is the percent change, is the New value and O is

the Old value. We are given the Old value (132) and the New value (125.4) which we can substitute into the formula to calculate the percent change:

p= 125.4-132/132 x 100%

p= -6.6/132 x 100%

p= (-660/132%)

p= -5%

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Enter the patriot equivalent to Tan (A) <br><br> And<br><br> Enter the ratio equivalent to cos (B)
PolarNik [594]

Answer:

(a)\ \tan A = \frac{5}{12}

(b)\ \cos B = \frac{5}{13}

Step-by-step explanation:

Given

See attachment for triangles

Solving (a)

\tan(A)

The tan of an angle is:

\tan(\theta) = \frac{Opposite}{Adjacent}

From the given triangle.

Opposite = 5

Adjacent = 12

So, we have:

\tan A = \frac{5}{12}

Solving (b)

\cos(B)

The cos of an angle is:

\cos(\theta) = \frac{Adjacent}{Hypotenuse}

From the given triangle.

Adjacent = 5

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3 0
2 years ago
f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many
Oksanka [162]

Answer:

n=1849

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Assuming that the proportion is estimated \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849  

And rounded up we have that n=1849

7 0
3 years ago
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