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GuDViN [60]
3 years ago
11

A 90% confidence interval for the mean height of students

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer:

ME= \frac{69.397-60.128}{2}= 4.6345 \approx 4.635

And the best answer on this case would be:

b) m = 4.635

Step-by-step explanation:

Let X the random variable of interest and we know that the confidence interval for the population mean \mu is given by this formula:

\bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}

The confidence level on this case is 0.9 and the significance \alpha=1-0.9=0.1

The confidence interval calculated on this case is 60.128 \leq \mu \leq 69.397

The margin of error for this confidence interval is given by:

ME =t_{\alpha/2} \frac{s}{\sqrt{n}}

Since the confidence interval is symmetrical we can estimate the margin of error with the following formula:

ME = \frac{Upper -Lower}{2}

Where Upper and Lower represent the bounds for the confidence interval calculated and replacing we got:

ME= \frac{69.397-60.128}{2}= 4.6345 \approx 4.635

And the best answer on this case would be:

b) m = 4.635

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Answer:

$27.75

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Multiply $2.25 by 11 to get the answer

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3 years ago
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What two numbers add to 4 and, when multiplied together, equal −12?
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<span>Let x = first number
Let y = second number
x + y = 4
x * y = (-12)
Solve the first equation for x.
x = 4 - y
Now substitute this value of x into the second equation.
(4 - y) * y = (-12)
4y - y² = (-12)
y² - 4y - 12 = 0
(y + 2) * (y - 6) = 0
Now set both polynomials equal to zero
y + 2 = 0
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Hope I was able to help you! :)
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4 0
3 years ago
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Solved and graph each inequality X+7&gt;11
Nina [5.8K]

Answer:

x>4

Step-by-step explanation:

Given inequality:

x+7>11

We need to solve the given inequality for solutions of x.

In order to solve for the inequality, we will isolate x in one side of the in-equation.

We have,

x+7>11

Subtracting both sides by 7.

x+7-7>11-7

x>4

Thus, the solution of the given inequality is all real numbers greater than 4.

The solution in interval form can be written as (4,∞).

The graph for the inequality is shown below.

6 0
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Please help i really need it, i will give brainliest to the right answers
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Answer: A

Step-by-step explanation:

7 0
3 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
bazaltina [42]
<h3>3856 books has to be sold so that the production costs will equal the money from sales</h3>

<em><u>Solution:</u></em>

Let "x" be the number of books

The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing)

The one-time fixed costs will total 52,056

The variable costs will be 9.75 per book

Therefore,

Cost = 9.75x + 52056 ------ eqn 1

The publisher will sell the finished product to bookstores at a price of 23.25 per book

Therefore,

Revenue = 23.25x -------- eqn 2

<em><u>How many books must the publisher produce and sell so that the production costs will equal the money from sales?</u></em>

Revenue = cost

23.25x = 9.75x + 52056\\\\23.25x - 9.75x = 52056\\\\13.5x = 52056\\\\x = 3856

3856 books has to be sold so that the production costs will equal the money from sales

7 0
3 years ago
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