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astra-53 [7]
3 years ago
10

A corner of a rectangle is cut, creating a trapezoid.

Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer:

the last option of 135°.

Step-by-step explanation:

The total degree of the rectangle is 360°. But it was sliced, so with the remaining measurements, subtract each of them from 360°.

90°+90°+45°+x°=360°

225°+x°=360°                 add all of the values on the left side, then subtract 225 on both sides to solve for the value of x°.

x°=135°

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A film distribution manager calculates that 4% of the films released are flops. If the manager is correct, what is the probabili
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Answer:

9.34%

Step-by-step explanation:

p = 4%, or 0.04

n = Sample size = 667

u = Expected value = n * p = 667 * 0.04 = 26.68

SD = Standard deviation = \sqrt{np(1-p)}  =\sqrt{667*0.04*(1-0.04)} = 5.06

Now, the question is if the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%?

This statement implies that the p-vlaue of Z when X = 5% * 667 = 33.35

Since,

Z = (X - u) / SD

We have;

Z = (33.35 - 26.68) / 5.06

Z = 1.32

From the Z-table, the p-value of 1.32 is 0.9066

1 - 0.9066 = 0.0934, or 9.34%

Therefore, the probability that the proportion of flops in a sample of 667 released films would be greater than 5% is 9.34%.

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Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles &lt;1 and &lt;2, a
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Answer:

  • D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

Step-by-step explanation:

A. m<1 + m<2 + m<3 + m<4 = 360

  • Incorrect in terms of the proof

B. The sum of the measures of angles of a triangle is 180°

  • Not relevant

C. The measure of all right is 90°

  • Not relevant

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

  • Correct
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