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amid [387]
3 years ago
10

Solve the system of equations and choose the correct order pair.

Mathematics
1 answer:
Aneli [31]3 years ago
5 0

(2x + 4y = 14) \div 2 = x + 2y = 7
making x the subject
x = 7 - 2y
substitute into second equation
3(7 - 2y) + 12y = 51
by solving, y=5

substitute into first equation
2x + 4(5) = 14
by solving, x=-3

Therefore the ordered pair is (-3,5)

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What is the slope of the line that passes through the points (8, -4)(8,−4) and (6, 2) ?(6,2)?
Art [367]
The slope is 2-2/6-6 which is zero . So the slope is no slope
6 0
3 years ago
A corporation has 11 manufacturing plants. Of these, seven are domestic and four are outside the United States. Each year a perf
nikdorinn [45]

Answer:

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

Step-by-step explanation:

Total plants = 11

Domestic plants = 7

Outside the US plants = 4

Suppose X is the number of plants outside the US which are selected for the performance evaluation. We need to compute the probability that at least 1 out of the 4 plants selected are outside the United States i.e. P(X≥1). To compute this, we will use the binomial distribution formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

where n = total no. of trials

           x = no. of successful trials

           p = probability of success

           q = probability of failure

Here we have n=4, p=4/11 and q=7/11

P(X≥1) = 1 - P(X<1)

          = 1 - P(X=0)

          = 1 - ⁴C₀ * (4/11)⁰ * (7/11)⁴⁻⁰

          = 1 - 0.16399

P(X≥1) = 0.836

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

7 0
3 years ago
Nine less than the product of 2 and number is equal to 7​
user100 [1]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write an equation

2x - 9 = 7

Step 2: Use the Addition Property of Equality

2x = 16

Step 3: Use the Division Property of Equality

x = 8

5 0
3 years ago
Read 2 more answers
You are selling tickets for a high school basketball game. student tickets cost $3 and general admission cost $5. you sell 350 t
pickupchik [31]
a+b=350 => a=350 - b

3a + 5b = 1450
3(350-b)+b=1450
1050-3b+5b=1450
2b=400
b=200
a=150


5 0
3 years ago
What is the slope of the line that passes through the points (1, -6) and (-2, –8)?
Sloan [31]

Answer:

Where the line is going

Step-by-step explanation:

Put attention next time

Ps. Just check if its on x or on the y

7 0
3 years ago
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