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dexar [7]
3 years ago
9

I need help with that

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0

Distribute:

4x-3(x-2y)+1/2(6x-8y)

4x-3x+6y+3x-4y

Gather X and Y terms

x+6y+3x-4y

x+3x+6y-4y

Answer: 4x+2y

Hope I helped :)

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Paris used a simulation to take two random samples of fish in a pond. Her sample size was 30, and the table shows the frequency
Lana71 [14]

Answer:

No, let's take a look back at the question

Step-by-step explanation:

Samples are literally representation of the population.

The true statements are:

D. No, the two samples do not have similar values, so more samples are needed.

E. No, the samples are not representative of the population.

From the table, the difference between the frequencies of book trout and bass fish are too large.

This means that the prediction do not estimate actual sample

So, the true options are (d) and (e)

Read more about samples and population at:

brainly.com/question/7301139

5 0
2 years ago
Read 2 more answers
What is an equation of the line that passes through the points (−3,3) and (3,−7)?
MakcuM [25]

Answer:

y=-\frac{5}{3}x-2

Step-by-step explanation:

line equation in general y = mx + b

m is the slope, and

b is the y-intercept

3=-3m+b

-7=3m+b

if we plus this two equations

3-7=2b

2b=-4

b=-2

3m=b-3=-5

m=-5/3

So,

y=-\frac{5}{3}x-2

7 0
2 years ago
Read 2 more answers
Solve for g. 12g + 12g + -14g = -20
Kay [80]
First, combine like terms

12g+12g-14g
24g-14g
10g=-20

Now just divide 10 from both sides'
g=-2
6 0
3 years ago
Read 2 more answers
The probability of the event​ "have a​ Bachelor's Degree" is ▼ by the occurrence of the event​ "never married", and the probabil
Reika [66]

Answer:

a) Fill in the spaces

The probability of the event "have a Bachelor's Degree" is affected by the occurrence of the event "never married", and the probability of the event "never married" is affected by the occurrence of the event "have a Bachelor's Degree", so the events are not independent.

b) Probability of a woman aged 25 or older having a bachelor's degree and having never married = P(B n NM) = 0.0369

This probability is the probability of the intersect of the two events, 'have bachelor's degree' and 'have never married' for women aged 25 or older.

Step-by-step explanation:

Complete Question

According to a government statistics department, 20.6% of women in a country aged 25 years or older have a Bachelor's Degree; 16.6% of women in the country aged 25 years or older have never married; among women in the country aged 25 years or older who have never married, 22.2% have a Bachelor's Degree; and among women in the country aged 25 years or older who have a Bachelor's Degree, 17.9% have never married. Complete parts a) and (b) below.

(a) Are the events "have a Bachelor's Degree" and "never married"? independent? Explain.

(b) Suppose a woman in the country aged 25 years or older is randomly selected. What is the probability she has a Bachelor's Degree and has never married? Interpret this probability.

Solution

The probability of the event that a woman aged 25 or older has a bachelor's degree = P(B) = 20.6% = 0.206

The probability of the event that a woman aged 25 or older has never married = P(NM) = 16.6% = 0.166

Among women in the country aged 25 years or older who have never married, 22.2% have a Bachelor's Degree.

This means that the probability of having a bachelor's degree given that a woman aged 25 or older have never married is 22.2%.

P(B|NM) = 22.2% = 0.222

And among women in the country aged 25 years or older who have a Bachelor's Degree, 17.9% have never married

This means that the probability of having never married given that a woman aged 25 or older has bachelor's degree is 22.2

P(NM|B) = 17.9% = 0.179

a) To investigate if the two events 'have a bachelor's degree' and 'have never married' are independent for women aged 25 or older.

Two events are said to be independent if the probability of one of them occurring does not depend on the probability of the other occurring. Two events A and B can be proven mathematically to be independent if

P(A|B) = P(A) or P(B|A) = P(B)

For the two events in question,

P(B) = 0.206

P(NM) = 0.166

P(B|NM) = 0.222

P(NM|B) = 0.179

It is evident that

P(B) = 0.206 ≠ 0.222 = P(B|NM)

P(NM) = 0.166 ≠ 0.179 = P(NM|B)

Since the probabilities of the two events do not satisfy the conditions for them to be independent, the two events are not independent.

b) Probability of a woman aged 25 or older having a bachelor's degree and having never married = P(B n NM)

The conditional probability, P(A|B), is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

P(A n B) = P(A|B) × P(B)

or

= P(B|A) × P(A)

Hence,

P(B n NM) = P(NM n B) = P(B|NM) × P(NM) = P(NM|B) × P(B)

P(B|NM) × P(NM) = 0.222 × 0.166 = 0.036852 = 0.0369

P(NM|B) × P(B) = 0.179 × 0.206 = 0.036874 = 0.0369

Hope this Helps!!!

6 0
3 years ago
The diameter of a circle is 12 centimeters. What is the area of a sector bounded by a 126°<br> arc?
antoniya [11.8K]

Answer:39.56400cm^2

Step-by-step explanation:

126/360=0.35

area = pi(r)^2

r=d/2=6

36・3.14 = 113.04

0.35・113.04 = 39.56400

7 0
2 years ago
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