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2 years ago

15

in science class 2/3 of the students have a sister. Of the students who have a sister 1/2 have a brother which model shows the f

raction of students that have both a sister and brother

1 answer:

faust18 [17]2 years ago

4 0

Answer:

1/3

Step-by-step explanation:

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What is the answer of 6xy + (-9xy)

kati45 [8]

Answer:

-3xy

Step-by-step explanation:

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2 years ago

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The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident th

Aleks04 [339]

Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

$n=\frac{z^{2}\sigma^{2}}{e^{2}}$

The <u>first step</u> is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, $1-\alpha=0.95 \Rightarrow \alpha=0.05$ .

Therefore we look for the critical value $z_{\alpha/2}=1.96$ .

Then we calculate the variance:

$\sigma = 3.7 \Rightarrow \sigma^{2}=13.69$

And we have that:

$e=2 \Rightarrow e^{2}=4$

<u>Now</u> we replace in the formula with the values we've just obtained:

$n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14$

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

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2 years ago

It takes Bruce 12 h to complete his training. It takes Oliver approximately 2 days, 2 h, and 15 min to complete

Stolb23 [73]

Answer:

Oliver completed his training work in 50.25 hours

Step-by-step explanation:

we know that

1 day= 24 hours

1 hour=60 minutes

we have

2 days, 2 h, and 15 min

<u><em>Convert days to hours</em></u>

2 days=2(24)=48 hours

<u><em>Convert minutes to hour</em></u>

15 min=15(1/60)=1/4=0.25 h

so

2 days, 2 h, and 15 min=(48)+(2)+(0.25)=50.25 h

therefore

Oliver completed his training work in 50.25 hours

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3 years ago

Find the volume of the cube

miskamm [114]

Answer:

The volume of cube is 125 cm³.

Step-by-step explanation:

Given that the formule of volume of cube is, V = length×width×height. Cube is a 3D form of square, so the sides of the cube are all the same. You have to substitute 5 into the formula,

Let length be 5 cm,

Let width be 5 cm,

Let height be 5 cm,

Volume = 5×5×5

= 125 cm³

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Yes the ratio would change because it needs 3 times more than the original amount so you would multiply it by 3

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