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olga55 [171]
3 years ago
13

Which of the following represents the solution to the inequality

Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

the question?

Step-by-step explanation:

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The equation of line fis - 3y + 4x = 9 write the equation of a line that is parallel to line and passes through the point (- 12,
ollegr [7]

Answer:

y =  - 4x - 42

Step-by-step explanation:

The equation of the line that is parallel to the line we are trying to find is

- 3y + 4x = 9 \\ or \\  - 3y =  - 4x + 9 \:(standard form) \\ \\therefore \: the \: slope \: of \: the \: line \\  \: is \:  - 4

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

y = 6 \:  \:  \: x =  - 12 \:  \:  \: slope =  - 4

Therefore the equation of the line is:

y = mx + c \\  6= ( - 4)( - 12) + c \\ 6 = 48 + c \\ 6 - 48 = c \\  - 42 = c

y = mx + c \\ y =  - 4x - 42

3 0
2 years ago
Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2, use the given sample sizes and numb
11Alexandr11 [23.1K]
Since the data is insufficient. Let us denote that n1 = 100, n2 = 100X1 = 38. X2 = 40
So looking for the p value:
p = (38+ 40) / (100 + 100) = 0.39
z = (38/100 - 40/100)/√ (0.39*(1-0.39)*(1/100 + 1/100))= -0.2899
P-value = P (|z| > 0.2899) = 0.7718
7 0
2 years ago
Find P on AB that is 2/3 of the distance from A(-3,-5) to B(9,4).
Ludmilka [50]

A line segment can be divided into ratios.

<em>The coordinate of P on line segment AB is (5,1)</em>

Given

A = (-3,-5)

B = (9,4)

The position of P from A to B is:

P_A = \frac 23

So, from P to B would be:

P_B =1 -  \frac 23

P_B = \frac 13

So, the ratio is:

m : n = \frac 23 : \frac 13

Simplify

m : n = 2 :1

<u>The coordinate of point P is:</u>

P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

So, we have:

P = (\frac{2 \times 9 + 1 \times -3}{2 + 1},\frac{2 \times 4 + 1 \times -5}{2 + 1})

P = (\frac{15}{3},\frac{3}{3})

P = (5,1)

<em>Hence, the coordinate of P is (5,1)</em>

Read more about line ratios at:

brainly.com/question/8847082

8 0
2 years ago
The population of city is 2500 if the number of males is 240 more than females how many males and females are there in the city?
Blizzard [7]
There are 1130 females. There are 1370 males. What I did was take 2500 and subtracted 240 from it. I got 2260 and then divided that number by 2 and got the number of females. Then I took that number and added 240 to it and got the number of males.
5 0
3 years ago
Q5: The probability that event A occurs is 5/7 and the probability that event B occurs is 2/3 . If A and B are independent event
bekas [8.4K]

Answer:

P(A \cap B)

And we can use the following formula:

P(A \cap B)= P(A)* P(B)

And replacing the info we got:

P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476

Step-by-step explanation:

We define two events for this case A and B. And we know the probability for each individual event given by the problem:

p(A) = \frac{5}{7}

p(B) = \frac{2}{3}

And we want to find the probability that A and B both occurs if A and B are independent events, who menas the following conditions:

P(A|B) = P(A)

P(B|A) = P(B)

And for this special case we want to find this probability:

P(A \cap B)

And we can use the following formula:

P(A \cap B)= P(A)* P(B)

And replacing the info we got:

P(A \cap B) = \frac{5}{7} \frac{2}{3}= \frac{10}{21}=0.476

7 0
2 years ago
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