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Serjik [45]
3 years ago
8

What is bigger 0.75 or 1 3/4

Mathematics
1 answer:
Simora [160]3 years ago
5 0
1 3/4 is greater than 0.75 because 1 3/4 is 1.75 and it is greater than 0.75
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Arturiano [62]
The correct answer is B
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2 years ago
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Construct a 99​% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s
vivado [14]

Using the z-distribution, the 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

The estimate and the sample size are given by:

\pi = 0.36, n = 100.

Then the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836

The 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
Consider the vector add = a + b = [13 12 11 10 10] and sub = a - b = [-11 - 6 - 14 8]. Find the vector a and b.
prisoha [69]

Answer:

a = [1   3   5   7   9] and b = [12   9   6   3   1]

Step-by-step explanation:

The addition of two vectors a and b is defined as

a + b = [13   12   11   10   10]                .... (1)

The subtraction of two vectors a and b is defined as

a - b = [-11   - 6   - 1   4    8]                 .... (2)

After adding (1) and (2), we get

(a + b) + (a - b)= [13   12   11   10   10] + [-11   - 6   - 1   4    8]

On simplification we get

2a = [13-11   12-6   11-1   10+4   10+8]

2a = [2   6   10   14   18]

Divide both sides by 2.

a = [1   3   5   7   9]

Substitute the value of vector a in equation (1).

[1   3   5   7   9] + b = [13   12   11   10   10]

Subtract vector a from both sides.

b = [13   12   11   10   10] - [1   3   5   7   9]

On simplification we get

b = [13-1   12-3   11-5   10-7   10-9]

b = [12   9   6   3   1]

Therefore the vectors a and b are defined as a = [1   3   5   7   9] and b = [12   9   6   3   1].

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2 years ago
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Sedbober [7]
1) isolate k: 3(-4)>-k
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Step-by-step explanation:

4 0
3 years ago
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