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3 years ago

How much is 3/4 of 120? And how much is 3/8 of 160?

Mathematics

2 answers:

joja [24]3 years ago

7 0

3/4 of 120 would be 90.
If you divide 120 into 4 equal parts, each part would be worth 30, because 30 multiplied by 4 is 120. So, to find how many 3 parts would equal, you add 30 plus 30 plus 30.
You get 90. So, Megan has 90
3/8 of 160 would be 60
If you divide 160 into 8 equal parts, you get 20 for each part, because 20 multiplied by 8 is 160. So to find how many 3 parts would equal, you add 20 plus 20 plus 20.
you get 60. So, Alex has 60.
The question is asking you how many more Megan has. Well, Megan has 90, and Alex has 60. 90 - 60 is 30.
Your answer would be 30.
I hope this helped

RoseWind [281]3 years ago

4 0

3/4 of 120
=3/4*120
=360/4
=90

3/8 of 160
=3/8*160
=480/8
=60

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A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach

nlexa [21]

Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that $\mu = 130, \sigma = 30$

What score is necessary to reach the 75th percentile?

This is X when Z has a pvalue of 0.75, so X when Z = 0.675.

$Z = \frac{X - \mu}{\sigma}$

$0.675 = \frac{X - 130}{30}$

$X - 130 = 0.675*30$

$X = 150.25$

A score of 150.25 is necessary to reach the 75th percentile.

7 0

3 years ago

A human heart beats an average of 80 beats per minute.How many beats is this in an hour?express your answer in scientific notati

nlexa [21]

Answer:

4,800

Step-by-step explanation:

Sorry I don't know how to explain it scientifically but I know how to do the calculations

1) Theres 60 minutes in an hour

2) 80x60= 4,800 beats

4 0

3 years ago

Give the degree and classify the polynomial by the number of terms.

cestrela7 [59]

Answer:

degree 3, binomial

Step-by-step explanation:

the highest exponent is the degree, it's two terms so bi meaning 2 makes it a binomial

5 0

2 years ago

Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is in the shape of a square pyramid and

Zina [86]

Answer:

56√93 ≈ 540 ft²

Step-by-step explanation:

The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.

Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height / other leg is:

$\sqrt{17^2-14^2} =\sqrt{289-196} =\sqrt{93}$

We now have the dimensions of each triangle: the height is √93 and the base is 28. The area of a triangle is: A = (1/2) * b * h, so we have the following.

A = (1/2) * b * h

A = (1/2) * 28 * √93 = 14√93

Multiply this by 4:

14√93 * 4 = 56√93

The total surface area is 56√93 ≈ 540 ft².

4 0

2 years ago

Read 2 more answers

The length of the side of square A is 50% of the length of the side of square b

galben [10]

Answer:

25%

Step-by-step explanation:

let length of 1st square be x and second be y

then

A/q

x = y/2

area of first square = x^2 = (y/2)^2 = (y^2)/4

and

area of second square = y^ 2

so from sbove two lines

area of first square = 1/4 * area of second square

= 1/4 *100%

so..

area of first sqare = 25% of area of second square

8 0

3 years ago