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iVinArrow [24]
4 years ago
11

Factor x^2 + 25 in the complex numbers

Mathematics
1 answer:
zzz [600]4 years ago
7 0
This expression cannot be factored with rational numbers. The polynomial is not factorable with rational numbers.
You might be interested in
A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.
zzz [600]

Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , \bar{X}=72.5\% , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}

From the t-table with 9 degree of freedom for \frac{\alpha}{2}=0.005

t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}

t_{n-1,\frac{\alpha}{2}}=3.250

The 99% confidence interval is given by,

CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}

CI=72.5 \pm 5.96

CI=(72.5+5.96),(72.5-5.96)

CI=(66.54,78.46)

8 0
3 years ago
ILL GIVE BRAINLIST FOR CORRECT ANSWERS<br> NEED HELP ASAPPP to the question on the picture
kondaur [170]
Choice b would be correct since the slope of the line is negative !
4 0
3 years ago
Read 2 more answers
What is the z score of x=12 if it is two standard deviations to the right of the mean?
Tanzania [10]

The value of the Z-score will be equal to 2.

<h3>What is Z-score?</h3>

The z score indicates how many standard deviations your score is from the mean.

At the mean position, the standard deviation is 0 now the z score is the measure of the data which is how far from the mean. So the given data is at two standard deviations to the right of the mean so the Z-Score will be 2.

Therefore the value of the Z-score will be equal to 2.

To know more about Z-scores follow

brainly.com/question/25638875

#SPJ1

3 0
2 years ago
What is the slope of the line threw (-7,-2) and (-6,7)
miv72 [106K]

Answer:

9

Step-by-step explanation:

To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:

m=\frac{y_2-y_1}{x_2-x_1}

Here the points are (-7,-2) and (-6,7). Substitute and simplify.

m=\frac{7--2}{-6--7}=\frac{7+2}{-6+7}=\frac{9}{1}=9

3 0
3 years ago
HELP ASAP PLSSSSSSSSSSSS
ludmilkaskok [199]

Answer:

f = .39

Step-by-step explanation:

d (v) = 2.15 v^2 / (64.4 f)

v = 40

d = 138

substitute these in

138 = 2.15 (40)^2 / (64.4 *f)

simplify

138 = 2.15 (*1600) / (64.4 *f)

138 = 3440 / (64.4 *f)

multiply each side by 64.4f

138 * 64.4 f = 3440

8887.2 f = 3440

divide by 8887.2

8887.2 f /8887.2= 3440/8887.2

f=.38707

to the nearest hundredth

f = .39

8 0
3 years ago
Read 2 more answers
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