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2 years ago

Serika has hired Tom to build her a dollhouse. The dollhouse will be a scale model of her home, and the scale will be 2 inches :

Mathematics

1 answer:

sveticcg [70]2 years ago

7 0

Answer:

96 square inches

Step-by-step explanation:

The scale is 2 inches : 3 feet

Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches

For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches

Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches

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The data given below consists of the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 1

Mice21 [21]

Answer:

z -score = 0.0459

Step-by-step explanation:

Given that:

the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 10, 5, 11, 9, 6, 1, 8, 10, 7, 9, 13, 18, 9, 8, 11, 9, 7, 6, 14, 12.

The objective is to find the z- score , but before we can do that , we need to determine the mean and the standard deviation of the sample.

Mean = sum of the sample/ total number of the sample

Mean = (3+9+ 5+ 5+ 14+ 10+ 5+ 11+ 9+ 6+ 1+ 8+ 10+ 7+ 9+13+ 18+ 9+ 8+11+ 9+ 7+ 6+ 14+ 12)/25

Mean = 219/25

Mean = 8.76

Standard deviation = $\sqrt{\dfrac {\sum (x_i - \mu)^2}{N}}$

Mean (in order )= 1, 3,5,5,5,6,6,7,7,8,8,9,9,9,9,9,10,10,11,11,12,13,14,14,18)

Standard deviation = $\sqrt{\dfrac { (8.76 - 1)^2}{25} + \dfrac { (8.76 - 3)^2}{25} +\dfrac { (8.76 - 5)^2}{25} +...+ \dfrac { (8.76 - 18)^2}{25} }$

Standard deviation = 5.2174

The standard z score formula is:

$z = \dfrac{X- \mu}{\sigma}$

where X = median (13th observation ) = 9

$z = \dfrac{9- 8.76}{5.2174}$

$z = \dfrac{0.24}{5.2174}$

z -score = 0.0459

4 0

3 years ago

Enter the correct answer in the boxes and select the corresponding number in each column.

tester [92]

Answer:

X = 8

Step-by-step explanation:

5x + 2(4x-16) = 72

multiply 2 into the parenthesis

5x + 8x-32 = 72

combine like terms

13x - 32 = 72

add 32 on both sides

13x = 104

divide by 13 on both sides

X = 8

8 0

3 years ago

Pls answer if it is correct i will give brainlist

katrin2010 [14]

Answer:

1/ x = 22.5°

2/ x = 60°

Step-by-step explanation:

1/ We have: 3x + 2x + 3x = 180°

=> 8x = 180° => x = 22.5°

2/ We have: x + x + x = 3x = 180°

=> x = 60°

6 0

3 years ago

Read 2 more answers

What is the length of the line segment with endpoints (−3,8) and (7, 8) ? Enter your answer in the box

ki77a [65]

Length = √(y2-y1)² + (x2-x1)²
l = √(8-8)² + (7+3)²
l = √10²
l = 10

In short, Your Answer would be 10 units

Hope this helps!

6 0

4 years ago

Read 2 more answers

A 21 inch piece of steel is cut into three pieces so that the second piece is twice as long as the first, the third piece is 3 i

mestny [16]

3f+3=t
s=2f
21=f+s+t

21=f+(2f)+(3f+3)
21=6f+3
18=6f

3=first
6=second
12=third

8 0

3 years ago