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UkoKoshka [18]
3 years ago
8

PLEASE ANSWER ASAP

Mathematics
2 answers:
Hoochie [10]3 years ago
3 0

First, let's ignore the answer choices and solve for a value of x ourselves.

2(8 - x) < 4

Distributive property.

16 - 2x < 4

Subtract 16 from both sides.

-2x < -12

Divide both sides by -2 (and flip the inequality sign)

x > 6

The value of x is going to be greater than 6, and so, we can observe the answer choices, and whichever value is greater than 6, is the correct answer.

<h3>In this case, there is only one answer, and that is D, x = 10.</h3>
hichkok12 [17]3 years ago
3 0

Answer:

d x=10

Step-by-step explanation:

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What is the formula for the circumferences of a circle in terms of r?
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Answer: Pi · 2r

Step-by-step explanation:

The standard formula to find the circumference of a circle is Pi times the diameter of the circle. The diameter is 2 times the radius, which is what you're going to use in the formula.

So instead of Pi times the diameter, we have Pi times 2 times the radius. Thus, the formula is Pi · 2r.

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3 years ago
Calculate the margin of error
Pepsi [2]

Answer:

The margin of error is 3.465

Step-by-step explanation:

Margin of error = t × sd/√n

n = 92, degree of freedom = n - 1 = 92 - 1 = 91, t-value corresponding to 91 degrees of freedom and 90% confidence level is 1.6618, sd = 20

Margin of error = 1.6618×20/√92 = 33.236/9.592 = 3.465

7 0
3 years ago
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Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 cm.
Ivan

Answer:

The hula hoop rolls 879 \text{ cm}879 cm.

Step-by-step explanation:


8 0
3 years ago
Suppose the rate of type II diabetes in 40- to 59-year-olds is 7% among Caucasians, 10% among African-Americans, 12% among Hispa
melomori [17]

Answer:

The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.

Step-by-step explanation:

We have these following rates of type II diabetes:

7% among Caucasians

10% among African-Americans

12% among Hispanics

5% among Asian-Americans.

The ethnic distribution of Houston is:

30% Caucasian

25% African-American

40% Hispanic

5% Asian-American

What is the overall probability of type II diabetes among 40- to 59-year-olds in Houston?

P = P_{1} + P_{2} + P_{3} + P_{4}

P_{1} is the probability of finding a Caucasian with type II diabetes in Houston. So it is 7% of 30%.

P_{1} = 0.07*0.30 = 0.021

P_{2} is the probability of finding an African-American with type II diabetes in Houston. So it is 10% of 25%.

P_{2} = 0.1*0.25 = 0.0215

P_{3} is the probability of finding a Hispanic with type II diabetes in Houston. So it is 12% of 40%.

P_{3} = 0.12*0.40 = 0.048

P_{4} is the probability of finding an Asian-American with type II diabetes in Houston. So it is 5% of 5%.

P_{3} = 0.05*0.05 = 0.0025

P = P_{1} + P_{2} + P_{3} + P_{4} = 0.021 + 0.0215 + 0.048 + 0.0025 = 0.093

The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.

4 0
3 years ago
Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure
nikdorinn [45]

Answer:  72°, 108°, 108°

<u>Step-by-step explanation:</u>

Vertical angles are congruent (equal) so if one angle is 72° then its vertical angle is also 72°.

A vertical angle and its adjacent angle form a 180° angle, so the other two angles are each 180° - 72° = 108°

<em />

<em>see image below</em>

<em />

8 0
3 years ago
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