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2 years ago

Solve each equation. Show all of your work and check your answer 4x=1/3(6x-30)-2

Mathematics

1 answer:

Rus_ich [418]2 years ago

6 0

Answer:

x = -6

Step-by-step explanation:

Solve:

4x = 1/3(6x - 30) - 2

4x = 2x - 10 - 2

2x = -10 - 2

2x = -12

x = -6

Check:

4(-6) = 1/3(6(-6) - 30) - 2

-24 = 1/3(-36 - 30) - 2

-24 = 1/3(-66) - 2

-24 = -22 - 2

-24 = -24

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Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.

Evgesh-ka [11]

Answer:

AOC = 124°

Step-by-step explanation:

Angle on a straight line is 180°, therefore, the sum of the three angles shown is 180;

This can be written like so:

(3x + 94) + (x + 30) + (2x - 4) = 180

This equation can be solved to find x:

6x + 120 = 180

6x = 180 - 120

6x = 60

x = 10

AOC = 3(10) + 94

= 30 + 94

= 124

7 0

2 years ago

Read 2 more answers

How many 3 number combinations are possible if you can't repeat the numbers? The numbers range from 0-39

TEA [102]

Answer: 49600

Step-by-step explanation: There are 40 ways to choose the first number

and there are 40 ways to choose the second number.

Now we take some examples to determine how many choices there are for

the third number

If the second number is 23, then the 3rd number cannot be any of these

9 numbers 19,20,21,22,23,24,25,26,or 27, since they are not at least 5

numbers away from 23. Same for all other 40 second numbers.

Let's look at a second example which includes some on both sides of 0.

If second number is 2, we couldn't choose any of the 9 numbers 38,39,0,1,2,3,4,5,6.

So thats 40-9 or 31 choices for the 3rd number.

Answer 40*40*31 = 49600 ways.

4 0

3 years ago

When sampling without replacement, the probability of obtaining a certain sample is best given by a:

statuscvo [17]

Answer:

Hypergeometric distribution

Step-by-step explanation:

the hypergeometric distribution is a probability distribution that is discrete. It describes the probability of success without replacement, from a finite number of objects.

Hypergeometric distribution is used for relatively small population without replacements.

6 0

3 years ago

Point A is a representation of which number on the number line?

AVprozaik [17]

The answer is going to be B) -3

6 0

3 years ago

Based on records kept at a gas station, the distribution of gallons of gas purchased by customers is skewed to the right with me

Sever21 [200]

Answer:

e. The dotplot is approximately normal with mean 10 gallons and standard deviation 0.4 gallon.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

In this problem, we have that:

$\mu = 10, \sigma = 4, n = 100, s = \frac{4}{\sqrt{100}} = 0.4$

So the correct answer is:

e. The dotplot is approximately normal with mean 10 gallons and standard deviation 0.4 gallon.

8 0

3 years ago