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kiruha [24]
3 years ago
11

What is the simplest form of

Mathematics
1 answer:
ASHA 777 [7]3 years ago
8 0

Step-by-step explanation:

step 1. the cube root is also to the 1/3 power

step 2. (27a^3b^7)^(1/3) = (3*3*3*a*a*a*b*b*b*b*b*b*b)^(1/3)

step 3. a third root: 3 factors in the root comes "out" of the root as 1

step 4. 3ab*b(b)^(1/3) = 3ab^2(b)^(1/3).

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How many solutions does the system of equations have y=5x+7 and 3y-15x=18
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<span>How many solutions does the system of equations have y=5x+7 and 3y-15x=18

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A random sample of 200 voters in a town is selected, and 114 are found to support an annexa- tion suit. Find the 96% confidence
EastWind [94]

Answer:

a) 96% CI: 0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

p=\frac{114}{200}=0.57

The standard deviation of the sample proportion is

\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

6 0
4 years ago
Quadrilaterals Q and P are similar. What is the scale factor of the dilation that takes Q to P
aalyn [17]

Answer:

0.8

Step-by-step explanation:

The scale factor that takes Q to P

Here, we want to go from Q to P

To get this, we simply divide what we have in P by what we had in Q

Hence, what we do here is;

2/2.5 or 4/5 = 0.8

8 0
3 years ago
Suppose X and Y are non-empty sets. Which set contains more elements: X U Y or X ∩ Y? Explain.
katrin [286]

Answer:

The union of two sets is guaranteed to result in an equal or larger set than if they were intersected.

This only makes sense because intersecting sets is exceptional, only values that already exist in both sets are in the result.  Whereas a union of two sets gives you all of the content of both.

The only time when an intersection is even equal to a union is when the two sets are identical.  If they aren't then the intersection will be smaller.

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3 years ago
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