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4 years ago

5 inches on a map represents 75 miles. How

Mathematics

1 answer:

algol134 years ago

5 0

Answer:

66.6

Step-by-step explanation:

because 5000/75 equals 66.6 and ooooo spooky season

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Geometry question. please help

Vinvika [58]

Answer:

The length of PQ is 18 feet.

The length of PR is 18 feet.

The length of QR is 24 feet.

Step-by-step explanation:

A way to set an equation up for this problem is:

$\frac{4}{3}x+x+x=60$

where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.

Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:

$\frac{4}{3}(18)+18+18=60$

Don’t solve the whole equation, just solve the $\frac{4}{3}(18)$ part of the equation, which is equal to 24. So the final equation is this:

$24+18+18=60$

Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).

Sorry for the long explanation.

But hope this helps and answers your question :)

8 0

3 years ago

Not prime number in 12n- 5

Alona [7]

Answer:

Step-by-step explanation:

12 x 5 = 60

60-5 = 55

55 is not prime

5 0

3 years ago

HELPPPP ORDER THE NUMBERS FROM LEAST TO GREATEST -3.5, √20, negative √19, 4.9, 3/2

lisabon 2012 [21]

Answer:

$\sqrt{-19} , -3.5, 3/2, \sqrt{20} , 4.9$

Negative numbers go first, the greater the number, the smaller the number.

4 0

3 years ago

Read 2 more answers

Getting enough sleep. 400 students were randomly sampled from a large university, and 289 said they did not get enough sleep. Co

coldgirl [10]

Answer:

Yes, Hypothesis test represents a statistically significant difference from 50% .

Step-by-step explanation:

We are given that 400 students were randomly sampled from a large university, and 289 said they did not get enough sleep.

Let Null Hypothesis, $H_0$ : p = 0.50 {means from the students sampled from the university, proportion of them who did not get enough sleep is 50%}

Alternate Hypothesis, $H_1$ : p $\neq$ 0.50 {means from the students sampled from the university, proportion of them who did not get enough sleep is different from 50%}

The test statistics we will use here is;

T.S. = $\frac{\hat p - p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion = 289/400 = 0.7225

n = sample of students = 400

So, test statistics = $\frac{0.7225 - 0.50}{\sqrt{\frac{0.7225(1-0.7225)}{400} } }$ = 3.143

Now, at 1% level of significance, z table gives critical value of 2.5758. Since our test statistics is more than the critical value which means test statistics will lie in the rejection region, so we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that from the students sampled from the university, proportion of them who did not get enough sleep is different from 50%.

7 0

3 years ago

What is the height and length of a rectangular box with a volume of 6x^2-600 with a width of 6

harina [27]

Answer:

(x+10) and (x-10)

Step-by-step explanation:

The volume of a rectangular box is defined as

Volume = width*height*length

In this case

Volume = 6x^2-600 = 6*(x^2 - 100)

And we also know,

Volume = (6)*height*length

So,

6*(x^2 - 100) = (6)*height*length

This means that

height*length = (x^2 - 100)

height*length = (x+10)*(x-10)

7 0

3 years ago