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3 years ago

Solve each inequality. Graph and check the solution.

1 answer:

4 0

Just divide and multiply BUT when you divide or multiply by negative numbers you switch the symbol.

#1 is -18÷-3= 6; x is less than 6
#2 is 4×-2= -8; y is less than -8
#3 I don't understand the question
#4 -1.5×-2= 3; c is less than 3
#5 is 1/20×-5= -0.25; x is less than -0.25
#6 is not possible
#7 is 3÷-2=-1.5; b is greater than -1.5
#8 is -70÷-0.5= 35; a is greater than 35

Tbh I don't think any of these are right but I tried and it took me awhile so :/

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V1/V2=T1/T2. Solve for V1

Ahat [919]

V1=(T1/T2)*V2
In this problem, since you are given no actual numbers, the only thing you can do is multiply V2 over to get V1 alone. Since you can't cancel anything out, you are left with the answer above.

4 0

3 years ago

In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha

Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = 0.21$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}$

$0.09\sqrt{n} = 1.96\sqrt{0.21*0.79}$

$\sqrt{n} = \frac{1.96\sqrt{0.21*0.79}}{0.09}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}$

$n = 78.68$

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0

3 years ago

Three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer. If the gloves are removed at random without re

balandron [24]

Answer:

Step-by-step explanation:

Given that three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer. The gloves are removed at random without returning any to the drawer.

We have to find the minimum number that must be removed in order to guarantee having a matched pair of gloves

No of different colours = 3 (red, blue, green)

Hence no of gloves that must be removed = 3+1

If 4 gloves are removed, only 3 can be of different colours 1 will have same colour as any one of the three.

So a pair of same colour would be obtained

Answer is 4

8 0

3 years ago

Evaluate when x = 2<br> -X2 + 5x - 7

Rufina [12.5K]

Answer:

Step-by-step explanation:

f(x)=x²-5x+7

f(2)=2²-5.2+7=4-10+7=11-10=1

f(-1)=(-1)²-5.(-1)+7=1+5+7=13

f(1/3)=(1/3)²-5(1/3)+7=1/9-5/3+7=49/9

∴, f(2)-f(-1)+f(1/3)

=1-13+49/9

=58/9-13

=-59/9

mark be brainlest plss

6 0

3 years ago

What is the volume of this rectangular prism? <br> 3ft by 6 1/4 ft by 14 ft

Liula [17]

We can find the volume of any rectangular prism by simply multiplicating its height, length and width.

Also, lets change that 6 1/4 to 6.25, or 25/4 if you like. I’m gonna use 6.25.

If we take volume as “V”, then:

V = L * W * H
V = 3ft * 6.25ft * 14ft
V = 262.5 ft^3 (Its ft cubed because we multiplied by ft three times.)

7 0

3 years ago