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2 years ago

4. Find the value of a, for which point p (a/3,2) is the midpoint of the line segment

Mathematics

1 answer:

AysviL [449]2 years ago

3 0

Answer:

a = -9

Step-by-step explanation:

P(a/3 , 2) is mid-point of Q (-5 , 4) and R (-1 , 0)

a/3 = (-5 + (-1))/2 = -6/2 = -3

a = -9

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How many solutions does the equation 3n + 5 (n-4) = 9n -5 have

Tju [1.3M]

$3n + 5(n - 4) = 9n - 5 \\ \\ 3n + 5n - 20 = 9n - 5 \\ \\ 8n - 20 = 9n - 5 \\ \\ 8n - 9n = - 5 + 20 \\ \\ - n = 15 \\ \\ n = - 15$

<h3>Hope This Helps</h3>

8 0

2 years ago

What is the quantity proportional to 18/6

mario62 [17]

Answer:

18/6=3

Step-by-step explanation:

18/6÷3=6/2

6/2=3

7 0

3 years ago

In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,

kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

$P(X)=^nC_x\ p^x(1-p)^{n-x}$ , here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

$P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840$

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0

3 years ago

The graph shows which inequality? The equation of the boundary line is y = –x + 4. y –x + 4 y ≥ –x + 4

DaniilM [7]

Answer:

y≤-x+4

Step-by-step explanation:

x intercept =4

y intercept=4

the shaded area under the solid line because it is greater than or equal

8 0

3 years ago

Find the markup and the cost of the following item. Round answers to the nearest cent.

marysya [2.9K]

Answer:

1st question: M=22.62 while C=75.38

2nd question: M=.22 while C=1.97

Step-by-step explanation:

If a mirror costing x dollars is marked up 30%, then we have to find x such that 30%x+x is 98 dollars.

We are solving:

.3x+x=98

Combine like terms:

1.3x=98

Divide both sides by 1.3:

x=75.38

M=98-75.38=22.62

C=75.38

So M=22.62 while C=75.38.

If ream of paper cost x and is marked up 11%, then we have to find x such that 11%x+x is 2.19.

We are solving:

.11x+x=2.19

1.11x=2.19

x=1 97

M=2.19-1.97=.22

So M=.22 while C=1.97

5 0

3 years ago