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2 years ago

9

K + 12 ≥20, if k = 15 HELP PLEASE!!

1 answer:

Andrei [34K]2 years ago

4 0

Answer:

Step-by-step explanation:

k= 15

k+12 ≥ 20

15+12 ≥20

27 ≥ 20 True

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is $-0.00870$

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 1068000$

The first proportion $\r p_1 = 0.084$

The second sample size is $n_2 = 1476000$

The second proportion is $\r p_2 = 0.092$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 0.05$

From the normal distribution table we obtain the critical value of $\frac{ \alpha }{2}$ the value is

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Now using the formula from the question to construct the 95% confidence interval we have

$(\r p_1 - \r p_2 )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }$

Here $\r q_1 = 1 - \r p_1$

=> $\r q_1 = 1 - 0.084$

=> $\r q = 0.916$

and

$\r q_2 = 1 - \r p_2$

=> $\r q_2 = 1 - 0.092$

=> $\r q_2 = 0.908$

So

$(0.084 - 0.092 )- (1.96)* \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }$

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3 years ago

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Step-by-step explanation:

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3 years ago

What is the quadratic in vertex form that has a vertex of (-1, 5)<br><br> Options in image

dimaraw [331]

Answer:

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Step-by-step explanation:

In this case we must write a quadratic equation in the vertex form.

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$y = (x-h) ^ 2 + k$ .

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So if the vertex is (-1, 5), the equation sought is:

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Therefore the answer is the Third option.

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3 years ago

Read 2 more answers