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attashe74 [19]
3 years ago
12

Find the area of the trapezoid.

Mathematics
1 answer:
marta [7]3 years ago
7 0

Answer:

c

Step-by-step explanation:

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math problem Just before a referendum on a school budget, a local newspaper polls 400 voters in an attempt to predict whether th
Readme [11.4K]

Answer:

The conditions necessary for the analysis are met.

The probability the newspaper’s sample will lead them to predict defeat is 0.7881

Step-by-step explanation:

We are given;

population proportion; μ = 52% = 0.52

Sample size;n = 400

The conditions are;

10% conditon: sample size is less than 10% of the population size

Success or failure condition; np = 400 x 0.52 = 208 and n(1 - p) = 400(1 - 0.52) = 192.

Both values are greater than 10

Randomization condition; we assume that the voters were randomly selected.

So the conditions are met.

Now, the standard deviation is gotten from;

σ = √((p(1 - p)/n)

where;

p is the population proportion

n is the sample size

σ is standard deviation

Thus;

σ = √((0.52(1 - 0.52)/400)

σ = √((0.52(0.48)/400)

σ = 0.025

Now to find the z-value, we'll use;

P(p^ > 0.5) = P(z > (x - μ)/σ)

Thus;

P(p^ > 0.5) = P(z > (0.5 - 0.52)/0.025)

This gives;

P(p^ > 0.5) = P(z > - 0.8)

This gives;

P(p^ > 0.5) = 1 - P(z < -0.8)

From the table attached we have a z value of 0.21186

Thus;

P(p^ > 0.5) = 1 - 0.21186 = 0.7881

Thus, the probability the newspaper’s sample will lead them to predict defeat is 0.7871

8 0
3 years ago
Read 2 more answers
Of the 80 girls in Joy's class, 24 have blond hair. What percent of girls in Joy's class have blond hair?
alexandr1967 [171]

Answer:

30%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The volume of a cube is 125 cubic inches what is the length of 1 edge of the cube
inn [45]

Answer:

All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.

Step-by-step explanation:

Mark me as brainliest!

8 0
3 years ago
Read 2 more answers
Please help please please
Marina CMI [18]

Answer:

C. y = 2x + 8

Step-by-step explanation:

✔️First, find the slope of the line that goes through points (-2, 4) and (6, 20):

Slope (m) = ∆y/∆x = (20 - 4) / (6 - (-2))

Slope (m) = 16/8

m = 2

✔️Find the y-intercept (b):

To do this, substitute (x, y) = (6, 20) and m = 2 into y = mx + b

Thus:

20 = 2(6) + b

20 = 12 + b

20 - 12 = b

8 = b

b = 8

✔️Write the equation by substituting m = 2 and b = 8 into y = mx + b

Thus:

y = 2x + 8

8 0
3 years ago
Please help me please
alexandr1967 [171]
I believe it is the second one
8 0
3 years ago
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