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3 years ago

9

Suppose a 95% confidence interval for μ turns out to be (1,000, 2,100). give a definition of what it means to be "95% confident"

as an inference.

1 answer:

IRISSAK [1]3 years ago

3 0

Answer:

In repeated sampling, 95% of the intervals constructed would contain the population mean.

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How do I solve (4x+1)(x-5)=-43x-41

AfilCa [17]

Remember you can do anything to an equation as long as you do it to both sides
expand by foiling or distributing

4x²-19x-5=-43x-41
add 43x to both sides and add 41 to both sides

4x²+24x+36=0
factor
facotr out of 4
4(x²+6x+9)=0
factor inside
what 2 numbers multiply to get 9 and add to get 6?
3 and 3
4(x+3)(x+3)=0
set to 0

x+3=0
x=-3

x=-3 is answer

8 0

3 years ago

Suzette ran and biked for a total of 44.75 mi in 4 h. Her average running speed was 6.5 mph and

vaieri [72.5K]

Suzette ran for 1.5 hours and biked for 2.5 hours.

a. Let x = total hours Suzette ran.

Let y = total hours Suzette biked.

The equation to solve the question will be:

x + y = 4 ....... i

6.5x + 14y = 44.75 ....... ii

b. x + y = 4 ....... i

6.5x + 14y = 44.75 ....... ii

From equation i, x = 4 - y

Put x = 4-y into equation into equation ii

6.5x + 14y = 44.75

6.5(4 - y) + 14y = 44.75

26 - 6.5y + 14y = 44.75

Collect like terms

-6.5y + 14y = 44.75 - 26

7.5y = 18.75

Therefore, y = 18.75/7.5

y = 2.5

Therefore, she bikes for 2.5 hours

Since x + y = 4

x = 4 - y

x = 4 - 2.5

x = 1.5

She ran for 1.5 hours.

Read related link on:

brainly.com/question/24578032

5 0

3 years ago

Read 2 more answers

Phoenix [80]

By applying <em>radical</em>, <em>power</em> and <em>rational</em> properties we have the following results after simplifying expressions:

$x^{\frac{3}{4} }$
x
$x^{\frac{11}{10} }$
x

<h3>How to reduce radical and rational expressions into a single power expression with rational exponent</h3>

In this question we need to simplify four given expressions by using the following <em>radical</em> and <em>power</em> properties:

$\sqrt[n]{x} = x^{\frac{1}{n} }$ (1)
$x^{m+n} = x^{m}\cdot x^{n}$ (2)
$x^{m-n} = \frac{x^{m}}{x^{n}}$ (3)
$(x^{m})^{n} = x^{m\cdot n}$ (4)

Now we proceed to simplify each of the four expressions:

$\sqrt[4]{x^{3}} = x^{3/4}$
$\frac{1}{x^{-1}} = (x^{-1})^{-1} = x$
$\sqrt[10]{x^{5}\cdot x^{4}\cdot x^{2}} = \sqrt[10]{x^{11}} = x^{\frac{11}{10} }$
$x^{\frac{1}{3} }\cdot x^{\frac{1}{3} }\cdot x^{\frac{1}{3} } = x$

To learn more on power functions: brainly.com/question/18719083

#SPJ1

3 0

3 years ago

Marianne buys 16 bags of potting soil which come in 5/8 pound bags. This equals to 10 pounds of potting soil. Her father calls a

Ann [662]

Answer:

5 bags

Step-by-step explanation:

Given Marianne buys 16 bags of potting soil which come in 5/8 pound bags

The above provides 10pounds of potting soil already

Now her father says he needs 13 pounds So Marianne should get an extra of 13 - 10 =3 pounds of potting soil

We know that 1 bag contains 5/8 pounds of potting soil

x bags contain 3 pounds of potting soil

On cross multiplication we get

$\frac{5x}{8}=3$

x = $\frac{24}{5}$

since x is an integer x = 5 bags

Note that an extra amount of soil will be remained unused

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3 years ago

Combine like terms to create an equivalent expression.<br> تا است

HACTEHA [7]

Answer:

Step-by-step explanation:

honey i have no clue

5 0

3 years ago