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Lorico [155]
3 years ago
6

Use z scores to compare the given values.

Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer:

The answer is given below

Step-by-step explanation:

Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:

z=\frac{x-\mu}{\sigma}\\ \\Where\ \mu=mean, x=raw\ score, \sigma=standard\ deviation

For the male:

μ = 3259.8 g, σ = 869.7 g

Hence for a male who weighs 1600 g, the z score is:

z=\frac{x-\mu}{\sigma} =\frac{1600-3259.8}{869.7}=-1.91

For the female:

μ = 3000.9 g, σ = 550.8 g

Hence for a female who weighs 1600 g, the z score is:

z=\frac{x-\mu}{\sigma} =\frac{1600-3000.9}{550.8}=-2.54

Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the  male has the weight that is more extreme.

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Are these answers correct if not
iren2701 [21]

1. <u>Correct</u>

2. <u>Incorrect</u>, answer is x ≤ -4.25   This is because the line goes to the left so it is less than or equal to.

3. <u>Incorrect</u>, the answer is the choice at the top, because it is greater than, it goes to the right and has a empty circle.

4. <u>Incorrect</u>, the answer is the choice at the bottom cuz it is greater than or equal to so the line goes to the right and the circle is filled in.

Hope that helps u!!

8 0
3 years ago
Please answer the question from the attachment.
xenn [34]
Change it into improper fraction to make it easier or just solve it as is.
=3\frac{5}{8}-2\frac{7}{8}
=\frac{29}{8}-\frac{23}{8}
=\frac{6}{8}=\frac{3}{4}            
OR
=3 \frac{5}{8}-2 \frac{7}{8}
divide it to two parts:
3-2=1 and \frac{5}{8}-\frac{7}{8}=\frac{-2}{8}
1\frac{-2}{8}⇒(1×8-2=6)
=\frac{6}{8}=\frac{3}{4}
6 0
3 years ago
muhammad, a shipping and receiving clerk uses 1 yard, 2 feet and 4 inches Of twine to wrap each carton he packs. he has to pack
antiseptic1488 [7]

Answer:

<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>

Step-by-step explanation:

Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.

<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.

So,  1 yard, 2 feet and 4 inches =[(1*36)+(2*12)+4]inches = 64 inches.

That means, he uses 64 inches of twine to wrap each carton.

He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u>  =(64*29) inches= 1856 inches.

Now....

1856 inches

=\frac{1856}{36} yards \\ \\= 51 \frac{5}{9} yards \\ \\= 51 yards+(\frac{5}{9}*36)inches \\ \\= 51 yards, 20 inches \\ \\= 51 yards, (12+8)inches \\ \\=51 yards, 1 foot, 8 inches.

Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.

8 0
3 years ago
Rectangle ABCD is similar to rectangle WXYZ. If the area of rectangle ABCD is 70 square inches, AD is 10 inches, and XY is 5 inc
rodikova [14]

Answer: The area of rectangle WXYZ is 18 square inches

Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as

Ratio = 10/5

Ratio = 2/1 (or 2:1)

However rectangle ABCD has its area as 70 square inches, which means the other side is given as

Area = L x W

70 = 10 x W

70/10 = W

7 = W

Therefore the width of the other rectangle is determined as,

10/5 = 7/W

10W = 5 x 7

10W = 35

Divide both sides of the equation by 10

W = 3.5

Having calculated the width of the other rectangle as 3.5, the area is now determined as

Area = L x W

Area = 5 x 3

Area = 17.5

Rounded off to the nearest integer, the area equals 18 square inches

8 0
3 years ago
How do you write this polynomial in standard form?
Butoxors [25]

Answer:

You can also work on the ways that you write polynomials. One way to write a polynomial is in standard form. In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to right.

Step-by-step explanation:

Write the expression 3x−8+4x5 in standard form.

First, look at the degrees for each term in the expression.

3x has a degree of 1

8 has a degree of 0

4x5 has a degree of 5

Next, write this trinomial in order by degree, highest to lowest

4x5+3x−8

The answer is 4x5+3x−8.

The degree of a polynomial is the same as the degree of the highest term, so this expression is called a fifth degree trinomial.

4 0
3 years ago
Read 2 more answers
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