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katen-ka-za [31]
2 years ago
11

In a large population, 76% of the households have cable tv. A simple random sample of 225 households is to be contacted and the

sample proportion computed. What is the probability that the sampling distribution of sample porportions is less than 82%?
Mathematics
1 answer:
serious [3.7K]2 years ago
6 0

Answer:

0.017559

Step-by-step explanation:

Data provided:

Probability of Households Having cable TV, p₀ = 76% = 0.76

Therefore,

The probability that the Households not having cable TV = 1 - 0.76 = 0.24

Sample size, n = 225 households

sample proportions is less than 82% i.e p = 0.82

Now,

The standard error, SE = \sqrt{\frac{p_0(1-p_0)}{n}}

or

SE = \sqrt{\frac{0.76(1-0.76)}{225}}

or

SE = 0.02847

and,

Z=\frac{p-p_0}{SE}

or

Z=\frac{0.82-0.76}{0.02847}

or

Z = 2.107

therefore,

P(sample porportions < 0.82) = P(Z < 2.107)

now from the p value from the Z table

we get

P(sample porportions < 0.82) =  0.017559

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Complete question:

Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answer:

2/3

Step-by-step explanation:

Given the number : 48 / 72

Obtain the greatest common factor of 48 and 72

- - - - 48 - - - - 72

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- 2 - 12 - - - - - 18

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The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24

Hence, divide both the numerator and denominator by 24 ;

Numerator = 48/24 = 2

Denominator = 72 / 24 = 3

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2 years ago
How many solutions does the equation 5x + 3x – 4 = 10 have?
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Answer:

Step-by-step explanation:

Search...

1

cecewiliams23

08/12/2016

Mathematics

High School

answered

How many solutions does the equation 5x + 3x − 4 = 10 have

2

SEE ANSWERS

Answer

4.0/5

28

MathGeek289

Ambitious

236 answers

69.7K people helped

This Must Only Have One Solution, Because The Right Side Of The Equation Is Just Plainly Ten. Lets Solve This:

5x + 3x - 4 = 10

Add Four To Both Sides To Begin Simplifying.

5x + 3x = 14

Now, Combine Like Terms.

8x = 14

Divide:

8x/8 = 1X = X

14/8

X = 14/8

14/8 = 1.75

X = 1.75

Check:

(5 * 1.75) + (3*1.75) - 4 = 10

8.75 + 5.25 - 4 = 10

14 - 4 = 10

10 = 10.

This Is True, So X Does Equal 1.75

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1 ≤ 3 - 4x ≤ 9

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4 ≤ -4x ≤ 12

1 ≤ -x ≤ 3; Divide 4 on all sides

-1 ≥ x ≥ -3; Multiply -1 on all sides(FYI: When multiplying or dividing negative numbers in inequalities, make sure to reverse the signs as well)

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