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stiv31 [10]
2 years ago
12

Amber is solving the inequality |x+6| - 12 < 13 by graphing. Which equations should Amber graph?

Mathematics
1 answer:
Akimi4 [234]2 years ago
4 0

Answer:

y₁ = |x+6|  ; y₂ = 25

Step-by-step explanation:

|x+6| - 12 < 13

⇔ |x+6| < 25

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Find the midpoint of a line segment with given endpoints (4,-5) and (-6,3)
Mashcka [7]
The equation for the midpoint of a line segment is ( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}). Thus, the midpoint of this segment is (\frac{4 + (-6)}{2}, \frac{-5 + 3}{2}) = \boxed{(-1, -1)}.
3 0
4 years ago
Write an equation of the line passing through the point A(−6, 5) that is parallel to the line y = 1/2 x−7.
Katena32 [7]

Answer:

y=1/2x+8

Step-by-step explanation:

y=mx+c

gradient will stay the same = 1/2

y=1/2x+c

5= 1/2(-6)+c

5=-3+c

+3 on both sides

8=c

y=1/2x+8 will be parallel to y=1/2x-7

7 0
3 years ago
4-member curling team is randomly chosen from 6 grade 11 students and 8 grade 12 students. What is the probability that the team
Ivanshal [37]

Answer:

0.5944 = 59.44% probability that the team has at least 2 grade 11 students

Step-by-step explanation:

The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

We have that:

6 + 8 = 14 students, which means that N = 14

6 grade 11 students means that k = 6

Teams of 4 members means that n = 4

What is the probability that the team has at least 2 grade 11 students?

This is:

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1)

So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,14,4,6) = \frac{C_{6,0}*C_{8,4}}{C_{14,4}} = 0.0699

P(X = 1) = h(1,14,4,6) = \frac{C_{6,1}*C_{8,3}}{C_{14,4}} = 0.3357

Then

P(X < 2) = P(X = 0) + P(X = 1) = 0.0699 + 0.3357 = 0.4056

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.4056 = 0.5944

0.5944 = 59.44% probability that the team has at least 2 grade 11 students

5 0
3 years ago
Can someone please help me with this it’s due tonight
Natali5045456 [20]

Answer:

3x + 6

Step-by-step explanation:

it literally says bc = 3x + 6

4 0
3 years ago
Rita is making a large poster for an art project. The shape and dimensions of her poster are shown.
luda_lava [24]
I think it may be d (12 square meters)
3 0
3 years ago
Read 2 more answers
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