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CaHeK987 [17]
4 years ago
12

An angle measures 12 degrees less than three times it's supplement. Find the measure of the angle.

Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
4 0

supplementary angles = 180 degrees

 so x = angle 1

y = angle 2

y = 3x-12

x + 3x-12 =180

4x-12 = 180

4x = 192

x = 192/4 = 48

y = 3(48) -12 = 144-12 = 132

132 +48 = 180

 the angle is 132

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Which of the following is a prime number between 10 and 20?
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Answer:11

Step-by-step explanation:

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If a grocer mixed 3 lbs of candy costing $1.7 per pound and 5 lbs of candy costing 90 cents per pound, what should the price of
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Answer: The answer is $1.2

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5 0
4 years ago
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In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two ind
liberstina [14]

Answer:

Step-by-step explanation:

Hello!

You have two populations of interest and want to compare them. If you define the study variables as:

X₁: average hourly wages of an employee of the Downtown store.

n₁= 25

X[bar]₁= $9

S₁= $2

X₂: average hourly wages of an employee of the North Mall store.

n₂= 20

X[bar]₂= $8

S₂= $1

Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:

95% CI for μ₁ - μ₂

(X[bar]₁-X[bar]₂) ± t_{n_1+n_2-2; 1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )

Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}

Sa^2= \frac{24*4+19*1}{25+20-2}= 2.67

Sa= 1.64

t_{n_1-n_2-2;1-\alpha /2} = t_{43; 0.975} = 2.017

(9-8)±2.017*(1.64*\sqrt{\frac{1}{25} +\frac{1}{20} } )

[0.007636;1.9923]

I hope it helps!

6 0
3 years ago
Is this rational or irrational I really need help ASAP! Will mark brainlist.
sertanlavr [38]

Answer:

Irrational number

Step-by-step explanation:

A irrational number is when the numbers cannot be written as a quotient of two integers.

8 0
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