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lesya [120]
3 years ago
9

A line passes through the point (2,-5) and is perpendicular to the line with the

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

D) y = -5x + 5

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 1/5x + 5. Its slope is 1/5. A line parallel/perpendicular to this one will have a slope of -5.

Plug this value (#) into your standard point-slope equation of y = mx + b.

y = -5x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (2, -5). Plug in the x and y values into the x and y of the standard equation.

-5 = -5(2) + b

To find b, multiply the slope and the input of x (2)

-5 = -10 + b

Now, add 10 to both sides to isolate b.

5 = b

Plug this into your standard equation.

y = -5x + 5

This equation is parallel/perpendicular to your given equation (y = 1/5x + 5) and contains point (2, -5)

Hope this helps!

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Answer:

a. We are confident that the mean admission rate is between 52.8% and 75.0%

Step-by-step explanation:

When you have an unknown population parameter you can use a sample to delimit an interval in which this parameter is, the interval is called confidence interval and the confidence level is the probability of the parameter being inside the interval. The confidence interval is represented by a pair of numbers, in this case, the pair is (52.8%, 75.0%) and the confidence level is 95%, with that level you can say that you're confident that the mean admission rate is between  (52.8%, 75.0%).

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3 years ago
15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the gra
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2 years ago
What is 2 times 3 times n times n = 54
kolezko [41]

If I'm reading this correctly, it is 2*3*n*n = 6n^2

6n^2 = 54  Divide by 6

n^2 = 54/6

n^2 =  9      Take the square root of both sides.

sqrt(n^2) = sqrt(9)

n = +/- 3

n = + 3 or n = -3. Both will solve the equation above.

Edit

2 * 3 * n * n

Let n = 3

2 * 3 * 3 * 3 = 6 * 9 = 54

The other value is n = - 2

2 * 3 * n * n

2 * 3 * (-3) * (-3)   A minus times a minus is a plus.

2 * 3 * 9 = 6 * 9 = 54

both + 3 and - 3 for n will give 54.

8 0
3 years ago
Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the in
grin007 [14]

Answer:

(B) P(B)=\dfrac{16}{31}

Step-by-step explanation:

From the Venn diagram, n(AUB)=31

The given probabilities in the option are calculated below:

P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}

The only correct option is the probability of B which is \frac{16}{31}

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3 years ago
What’s the product of r and 9
Nina [5.8K]

Answer:

9r

Step-by-step explanation:

Multiply 9 and r together.

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