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3 years ago

Devon studied the composite figure.

Mathematics

2 answers:

Nat2105 [25]3 years ago

8 0

If we look at his calculations
2((9)(20) is the front an back rectangle
2((9)(34)) is the side rectangles
(34)(20) is the bottom
2(1/2(20(24)) is te front and top triangles
and the last one assumes that they are triangles which is incorrect

answer is D

Luden [163]3 years ago

8 0

Answer:

Step-by-step explanation:

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Which point on the number line represents the product of 4 and -2

liraira [26]

Answer:

-8 :)

Step-by-step explanation:

7 0

3 years ago

The aspect ratio of a rectangular shape is its length (L) divided by its width (W). It is expressed as L:W or L/W. If the aspect

klio [65]

Answer:21

Step-by-step explanation:12 times three is 36 and 7 times 3 is 21

3 0

3 years ago

A medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A to

timofeeve [1]

Answer:

$\frac{37}{389}$

Step-by-step explanation:

Given that a medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A total of 389 older Americans who lived at home and were in good health were studied over a three-year period. While all of the 389 people took in at least 700 milligrams of calcium and 200 units of vitamin D through their normal diet, 187 of them were given additional supplements containing 500 milligrams of calcium citrate and 70 units of vitamin D daily. Of the 187 who took additional supplements, 11 of them suffered broken bones over the three-year period. Of the 202 older Americans who did not take the additional supplement, 26 of them suffered broken bones over the study period.

Group I Group II Total

n 187 202 389

favour x 11 26 37

The fraction of older Americans who were included in the study suffered broken bones during the three-year period

=Total x/total n

= $\frac{37}{389}$

4 0

3 years ago

Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the Mean for sample of taste of pizza in California:

μ₁ = $\frac{34+39+40+46+33+31+34+14+15+45}{10}$ = 33.1

Calculating the Mean for the sample in Iowa:

μ₂ = $\frac{28+25+35+16+25+29+24+26+17+20}{10}$ = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The Variance for the sample in California is

σ² = $\frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}$ σ² = 120.50

The Variance for the sample in Iowa is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in California, the Range is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

Mean = 33.1;
Variance = 120.50;
Range = 32;

For Iowa:

Mean = 24.5;
Variance = 32.73;
Range = 19;

6 0

3 years ago

One angle in a triangle has a measure of 87 degrees. What can you conclude about the other two angles?

Dominik [7]

Answer:

the sum of the other two angle is 93

Step-by-step explanation:

180-87=93

6 0

4 years ago