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Oduvanchick [21]
3 years ago
8

Please show me step by step so I can learn to explain it to my son.

Mathematics
1 answer:
aleksklad [387]3 years ago
6 0
These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.

<u>Step 1:  Find the area of the trapezium</u>:

Formula : Area of trapezium = 1/2 (a + b)h 

Area = 1/2 ( 25 + 15) (12) = 240 yd²

<u>Step </u><u>2 :</u><u> Find the area of the rectangle</u>:

Formula : Area = Length x Width

Area = 12 x 3 = 36 yd²

<u>Step 3: Find the shaded region:</u>

240 - 36 = 204 yd²

Answer: 204 yd²

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The mean height of women in a country​ (ages 20-​29) is 64.5 inches. A random sample of 75 women in this age group is selected.
Allushta [10]

Answer:

0.07378

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ/√n, where

x is the raw score = 65 inches

μ is the population mean= 64.5 inches

σ is the population standard deviation = 2.99

n = 75

z = 65 - 64.5 /2.99/√75

z = 0.5/0.345255461

z = 1.4482

Probability value from Z-Table:

P(x<25) = 0.92622

P(x>25) = 1 - P(x<25)

= 1 - 92622

= 0.07378

The probability that the mean height for the sample is greater than 65 ​inches is 0.07378

4 0
3 years ago
Solve x2+10x=24 by completing the square. Which is the solution set of the equation?
AleksandrR [38]
X^2+10x+25= 24+25

(x+5)^2= 49

x+5= +-7 (plus or minus 7)

x= -7-5
x=-12

x=7-5
x=2

Final answer: x={-12, 2}
8 0
3 years ago
Read 2 more answers
Please help me, I'M IN A TEST!
Kaylis [27]

Answer:

x = 3.

Step-by-step explanation:

5x = 15

x = 3

3 0
3 years ago
Use the​ slope-intercept form to graph the equation y=5/4x-1
schepotkina [342]

Answer:

m = 5/4

(0,-1),(4/5,0)

Join the dots to obtain the graph!

3 0
3 years ago
Please help me!!!
irinina [24]

no you are not able to do this its not possible

6 0
3 years ago
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