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tamaranim1 [39]
3 years ago
15

Item 20 Factor 42x+28yusing the GCF.

Mathematics
1 answer:
Yanka [14]3 years ago
4 0
So 7×6=42 and 7×4=28 GCF is 7 so 7x(6x+4)
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The diameter of a circle is 4 ft. Find its area to the nearest tenth.
daser333 [38]

Answer:

.09ft^2

Step-by-step explanation:

8 0
3 years ago
It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir
Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, we find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

\sigma = \sqrt{484} = 22

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

M = z*\frac{\sigma}{\sqrt{n}}

5 = 1.96*\frac{22}{\sqrt{n}}

5\sqrt{n} = 43.12

\sqrt{n} = \frac{43.12}{5}

\sqrt{n} = 8.624

(\sqrt{n})^{2} = (8.624)^{2}

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We need a sample size of at least 75.

6 0
3 years ago
Read 2 more answers
X2 + 5x - 14 Select one of the factors of the quadratic expression.
vfiekz [6]
The equation factored would be (x+7)(x-2). As 7-2=5 and (7)(2)=14.
3 0
3 years ago
Original: $110<br> New: $59<br> %Decrease:__________
Lemur [1.5K]

Answer:

46.36%

Step-by-step explanation:

Original: 110

New: 59

Percent Decrease: x

110 - 59 = 51

51/110 ≈ 46.3636... ≈ 46.36%

-Chetan K

3 0
2 years ago
Read 2 more answers
Choose the equation below that represents the line passing through the point (1, −4) with a slope of one half . (1 point)
bixtya [17]
3rd one
Reason: 
Point slope formula: y-y1=m(x-x1) 
y1=-4
x1=1
m=1/2
Put it all together and you get a final answer of:
y-(-4)=1/2(x-1)
two negatives make one positive
so, 
final answer:y+4=1/2(x-1)
6 0
3 years ago
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