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melisa1 [442]
3 years ago
12

A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 ce

ntimeters. Uma is a middle school student with a height of 165 centimeters. What proportion of student heights are higher than Uma's height?
Mathematics
1 answer:
dybincka [34]3 years ago
5 0

Answer:

0.2266

Step-by-step explanation:

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A man pays 20% of his salary as tax and has 24,000$ left. How much did he pay as tax
puteri [66]

Answer:

He paid $6,000 in taxes.

Step-by-step explanation:

His final amount after taxes is $24000.  In order to obtain this number we had to tax 20% of the total (Note that 100%-20%=80%).  In other words if he was taxed 20% he took home 80% of what he was paid.  Therefore mathematically we have:

0.8A_{pre-tax}=A_{taxed}

Since we know he was left with $24000 after taxes then:

0.8A_{pre-tax}=24000\\\\\frac{0.8A_{pre-tax}}{0.8}=\frac{24000}{0.8}\\\\A_{pre-tax}=\frac{24000}{0.8}\\\\A_{pre-tax}=30000

So originally he had $30,000.  So how much did he pay in taxes? We can calculate the difference of both pretax and after tax and we get:

$30,000 - $24,000= $6,000 taxed

4 0
4 years ago
Bruce reads 3fourths hour each night.how long will he read in 4 nights
OlgaM077 [116]
3 fourths of an hour is : (3/4)
(3/4)*4=3 hours

hope this helps!
5 0
3 years ago
Solve for x in the diagram below
ella [17]

Answer:

20

Step-by-step explanation:

3x + x + 100 = 180 (sum of angles on a straight line)

4x = 180-100

4x=80

divide both sides by 4

x=20

8 0
3 years ago
Determine if the triangles, VWZ and VXY, are similar. If so, identify the similarity criterion.
jenyasd209 [6]

Answer:

The triangles Δ VWZ and Δ VXY are similar by AA criteria.

Step-by-step explanation:

See the attached diagram.

Here, VZ = 16 in and ZY = 8 in. Again, VW = 18 in and WX = 9 in.

Therefore, \frac{VZ}{ZY} = \frac{VW}{WX} = \frac{2}{1} = 2

So, line WZ divides the lines VY and VX in the same ratio 2 : 1.

So, Line WZ ║ Line XY

Hence, ∠ XYV = ∠ WZV {The corresponding angles as VY is a transverse}

Again, ∠ YXV = ∠ ZWV {The corresponding angles as VX is a transverse}

Therefore, the triangles Δ VWZ and Δ VXY are similar by Angle-Angle i.e. AA criteria. (Answer)

5 0
3 years ago
Help 15 points to brainlist that answers also please give me 2 formulas for this
kakasveta [241]
Area rectangle: L * W
5 * 9
Area triangle: (1/2) * b * h
(1/2) * 3 * 4

Rectangle = 45
Triangle = 6
45 + 6 = 51 cm^2
7 0
4 years ago
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