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3 years ago

Find the surface area of this prism. Show your reasoning. Organize it so it can be followed

Mathematics

1 answer:

dolphi86 [110]3 years ago

5 0

Standing pieces:
2(9x6)+4(9x3) = 108+108 = 216
“L” horizontal pieces:
cut it to 3 squares of 3x3 each
2x3(3x3) = 54
total surface area = 216+54 = 270cm^2

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An angle measures 6° less than the measure of a complementary angle. what is the measure of each angle?

Sauron [17]

A and 90-a is the measure of the two angles

a=90-a-6
2a=84
a=42
42° and 48°

3 0

4 years ago

Ind 59:

Mila [183]

Answer:

It takes them 1.875 hours.

Step-by-step explanation:

Here, the job is cleaning the house.

Mom does 1 job in 3 hours.

In 1 hour, mom does 1/3 of the job.

Dad does 1 job in 5 hours.

In 1 hour, dad does 1/5 of the job.

Mom and dad working together do the job in x hours.

In 1 hour, mom and dad together do 1/x of the job.

1/3 + 1/5 = 1/x

5/15 + 3/15 = 1/x

8/15 = 1/x

8x = 15

x = 15/8 = 1.875

Answer: It takes them 1.875 hours.

3 0

3 years ago

Identify the variable that is continuous data used discretely. Select all that apply. There are 3 bugs. The bugs are red, yellow

Nata [24]

Answer:

The age of each bug

Step-by-step explanation:

Discrete variables are variables which are counted and can only take on whole number values such as 1, 2, 3...,. For example, the number of students in a class; the number of legs of a spider.

Continuous variables are variables that are measured and can take on a whole range of values such as 1.0, 1.1, 1.2...,. For example, the wingspan of a bug, the length of leaves; the exact age of students in a class.

Though age is a continuous variable if the exact age is required as it can take up a wide range of values such as 2.5 years; 2.3 years, 5.8 days etc,. However, in some instances, it can be rounded up to whole number values in years, months, weeks or even days.

For example, the age of a bug in days could be 1 day, 2 days, or 14 days.

The age of a student who is 12.2 years can be given as 12 years.

8 0

3 years ago

The following data on average daily hotel room rate and amount spent on entertainment (The Wall Street Journal, August 18, 2011)

Zielflug [23.3K]

Answer:

a. Predicted Amount = $109.46

b. Confidence Interval = (94.84,124.08)

c. Interval = (110.6883,188.8517)

Step-by-step explanation:

Given

ŷ = 17.49 + 1.0334x.

SSE = 1541.4

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46 --- Approximated

Predicted Amount = $109.46

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46

First we calculate the standard deviation

variance = SSE/(n-2)

v = 1541.4/(9-2)

v = 1541.4/7

v = 220.2

s = √v

s = √220.2

s = 14.839

Then we calculate mean(x) and ∑(x - (mean(x))²

X --- Y -- Mean(x) --- ∑(x - (mean(x))²

148 -- 161 -- 43-- 1849

96 || 105|| -9 || 81

91 ||101 || -14 || 196

110 || 142 || 5 || 25

90 || 100 || -15 || 225

102 || ||120 ||-3|| 9

136 || 167 ||31 ||961

90 || 140 ||-15 ||225

82 || 98 ||-23 || 529

Sum 945 || 1134|| 0 ||4100

Mean (x) = 945/9 = 105

∑(x - (mean(x))² = 4100

α = 1 - 95% = 5%

α/2 = 2.5% = 0.025

tα,df = n − 2 = t0.025,7 =2.365

Confidence interval = 109.46 ± 2.365 * 14.839 √((1/9)+ (89-105)²/4100

Confidence Interval = (109.46 ± 14.62)

Confidence Interval = (94.84,124.08)

ŷ = 17.49 + 1.0334(128)

ŷ = 149.7652

ŷ = 149.77

Interval = 149.77 ± 2.365 * 14.839 √((1/9)+ (128-105)²/4100

Interval = 149.77 ± 39.0817

Interval = (110.6883,188.8517)

3 0

3 years ago

A warehouse ships cans of soup weighing 19 oz each in a box that weighs 6 oz. Which gives the weight of a shipped box containing

Effectus [21]

The weight of the cans is 19 oz and each box weighs 6 oz. The answer is D, 19n + 6 is the weight of a shipped box..

5 0

3 years ago