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Lelu [443]
3 years ago
9

A. y = |x – 4| What is the domain and range

Mathematics
1 answer:
leonid [27]3 years ago
4 0
X = y + 4 that is the answer
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A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures
Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9 \\  \because \: AB  = x \\  \huge \red{ \therefore AB  = 9} \\  \\  \because \:BC = x + 6 \\  \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}

8 0
3 years ago
Let point L be between M and N on MN. Given that MN=31, ML= h-15 and LN = 2h-8. Find LN
MrRa [10]

Since the distance of MN is 31 and we have a distance of ML of h -15 and LN of 2h – 8, therefore

ML + LN = h -15 + 2h – 8 = 31

 h = 18

substituting the value of h to the expression for LN obtaining

 

LN = 2h – 8

LN = 2(18) – 8

LN = 28

 

Therefore the length of the segment LN is 28 units

7 0
3 years ago
The number 1 through 7 are written in separate slips of paper,and the slips are placed into a box.Then,4 of these slips are draw
Bad White [126]

Answer:

0.0011904

Step-by-step explanation:

Given that:

Number of slips = 7

Sample space = (1, 2, 3, 3, 5, 6, 7)

Numbwe of slips drawn = 4

Probability = required outcome / Total possible outcomes

Note ; selection is without replacement ;

P(drawing 1) = 1 /7

P(drawing 2) = 1 /6

P(drawing 3) = 1/5

P(drawing 4) = 1/4

1/7 * 1/6 * 1/5 * 1/4 = 0.0011904

6 0
3 years ago
A random sample of n people selected from a large population will be asked whether they have read a novel in the past year. Let
kozerog [31]

Answer:

b. A binomial variable with 25 independent trials

Step-by-step explanation:

The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.

we are given that variance of R=6 and p=probability of success=0.4.

We know that variance of binomial distribution is

Variance=npq

where q=1-p=1-0.4=0.6.

By putting the values in variance formula, we can get the value of n.

6=n*0.4*0.6

6=0.24*n

n=6/0.24

n=25

Hence, random variable R is a binomial variable with 25 independent trials.

4 0
3 years ago
For all nonzero real numbers a,b,c, and d such that c/d = 3a/2b , which of the following expressions is equivalent to b?
Serggg [28]

Answer:

Step-by-step explanation:

Calculate it together

6 0
3 years ago
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