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2 years ago

The heights of male students are normally distributed with a mean of 160 cm and a standard deviation

Mathematics

2 answers:

vlada-n [284]2 years ago

5 0

Answer:

6mm

Step-by-step explanation:

Comment of the.....

kompoz [17]2 years ago

4 0

Answer:

2.28%

Step-by-step explanation:

As this is normally distributed, we can use z scores to find the percentage.

First, find the z-score for 148.

The z-score that you get is:

(148-160)/2=2

As we see that z=2, we can use a calculator or a z-score chart to find the percentage less than a z score of 2.

I used my chart and found: 2.28%

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I don’t know how to divide 3 and 2 digits

Varvara68 [4.7K]

3.5 think of it as 3.0
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8 0

3 years ago

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$

take y to be 3, then substitute:

$( {x}^{3} - 3^3) = {(x - 3)}^{3} - 9x(3 - x)$

5 0

2 years ago

Alenkasestr [34]

Answer:

0.36 = 36/100 = 9/25

so the simplest form is 9/25

3 0

2 years ago

Read 2 more answers

HELP!!! HURRY!!! NO SPAM!!!! Identify the translation of the figure with the vertices W(2,−3), X(5,−3), Y(5,−5) and Z(2,−5), alo

kakasveta [241]

Answer:

W - (-4,4)

X - (-1,4)

Y - (-1,2)

Z - (-4,2)

Step-by-step explanation:

hope it helps. :)

6 0

2 years ago

A 2 -gallon container of window costs 31.36. what is the price per cup

irinina [24]

Answer:

0.98 $/cup

Step-by-step explanation:

The final answer asks for price/cup, as "per" means "divided by".

So, our final units will be in $/cup.

We are given that for every 2 gallons, it will cost $31.36.

In order to get from gallons to cups, we need to convert units.

In 1 gallon, there are 16 cups.

So, our conversion factor will be 16 cups/1 gallon.

$\frac{31.36}{2} *\frac{1}{16} \\\\= 0.98$ $/cup

Important things to note:

- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer

8 0

2 years ago