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Vikki [24]
3 years ago
14

Simplify.Your answer should contain only positive exponents.(x^3y^-2)-4

Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0
X^3(1/y^2)-4 is (x^3y^-2)-4 simplified with only positive exponents
You might be interested in
If f(x) = ||x|| , find f (-1/4)
spin [16.1K]
Anything that is absolute value is just that same number

therefore the answer is 1/4

hope this helps
8 0
2 years ago
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en
kkurt [141]

Answer:

0.097 is the probability that the entire batch will be rejected

Step-by-step explanation:

The total number of CDs = 6500

Number of defective CDs  = 110

Number of good CDs = 6500-110 = 6390

Out of this batch, 6 are randomly selected, then the probability that the entire batch is rejected is  

1 – [probability of accepting the entire batch]

1 – [6390/6500 * 6389/6499*6388/6498*6387/6497*6386/6496*6385/6495]

= 0.097

4 0
3 years ago
A rectangular park has 2 paths of width 2m running across it. What is the total area covered by the 2 paths ?
astra-53 [7]

Answer:

10m.

Step-by-step explanation:

Add up all the areas of the running path and then you can reach to the answer. I got 10m and most probably it should be that only.

3 0
2 years ago
In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colle
m_a_m_a [10]

Answer:

a) H0 : u = 28.5%

H1 : u < 28.5%

b) critical value = - 1.645

c) test statistic Z= - 1.41

d) Fail to reject H0

e) There is not enough evidence to support the professor's claim.

Step-by-step explanation:

Given:

P = 28.5% ≈ 0.285

X = 210

n = 800

p' = \frac{X}{n} = \frac{210}{800} = 0.2625

Level of significance = 0.05

a) The null and alternative hypotheses are:

H0 : u = 28.5%

H1 : u < 28.5%

b) Given a 0.05 significance level.

This is a left tailed test.

The critical value =

-Z_0.05 = -1.645

The critical value = -1.645

c) Calculating the test statistic, we have:

Z = \frac{p' - P}{\sqrt{\frac{P(1-P)}{n}}}

Z = \frac{0.2625 - 0.285}{\sqrt{\frac{28.5(1-28.5)}{800}}}

Z = -1.41

d) Decision:

We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645

e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.

5 0
3 years ago
What is the answer to this
astraxan [27]
It is convenient to do part b first, then use that result to do part a.

b. For some pair of points (x1, y1) and (x2, y2), you want to find a point (a, b) such that (a, b) - (x1, y1) = (x2, y2) - (a, b). That is, the differences of coordinates from one end to the center are the same as the differences from the center to the other end.
Adding (a, b) to the above equation gives
  2(a, b) - (x1, y1) = (x2, y2)
Adding (x1, y1) then gives
  2(a, b) = (x1, y1) + (x2, y2)
Finally, dividing by 2 gives a formula for (a, b):

  (a, b) = ((x1, y1) + (x2, y2))/2
The midpoint is the average of the end points.

a. Using the result from part b, the midpoint is
  midpoint = ((2, 3) + (6, 7))/2 = (8, 10)/2
  midpoint = (4, 5)
5 0
2 years ago
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