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s2008m [1.1K]
3 years ago
13

Find the volume of the rectangular prism. 19 cm 9 cm 2 cm

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer: 342 cm³

Step-by-step explanation: To find the volume of the rectangular prism, start with the formula for the volume or a prism.

Volume = length × width × height

Since we are not sure what the length, width, or height is in this problem, we can plug any of these numbers in for the length, width, or height. The commutative property of multiplication states that changing the order of the factors does not change the product.

Volume = (19 cm) (9 cm) (2 cm)

Volume = 342 cm³

Therefore, the volume of the rectangular prism is 342 cm³.

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In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35. The followi
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Answer:

112

Step-by-step explanation:

Given that in a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and again at age 35.

Age 18: average score = 100, SD = 15

Age 35: average score = 100, SD = 15, r = 0.80

Let us obtain regression equation of y on x.

Let y be the scores at age 35 and x at age 18

Slope = r(s_y/s_x) = 0.8(\frac{15}{15} )=0.80

The line passes through (100,100) being average of x and y

Hence regression line would be

y-100=0.8(x-100)\\y = 0.8x+20

a) Here given that x =115

Hence y=0.80(115)+20\\=112

the average score at age 35 for all the individuals who scored 115 at age 18, would be 112.

b) Prediction also would be the same 112.

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3 years ago
Simplify the given expression below: 4 divided by the quantity of 3 minus 2i
svetoff [14.1K]
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To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.

The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:

4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13

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