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babymother [125]
3 years ago
13

Solve this system of linear equations: 4x - 2y = 8

Mathematics
1 answer:
Mrac [35]3 years ago
6 0

Answer:

Step-by-step explanation:

Here you go mate

PEDMAS

Parenthesis

Exponents

Division

Multiplication

Addition

Subtraction

Step 1

4x - 2y = 8 ,y = 3/2x - 2  equation/Question

Step 2

4x-2y=8  Substitute

4x-2( 3 /2 x-2)=8

Step 3

x+4=8  simplify

x=4

Step 4

y= 3 /2 x-2  substitute 4 for x

y= 3 /2 (4)-2

Step 5

y= 3 /2 (4)-2  simplify

y=4

answer

x=4

y=4

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The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian s
ArbitrLikvidat [17]

Answer:

Probability of more than 9 adult Australian sheep dogs out of 12 weighing 65 lb or more

P(X > 9) = 0.00788

Step-by-step explanation:

The only assumption required for the question is that all 12 adult dogs sampled must all be Australian sheep dogs.

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adult dogs to be sampled = 12

x = Number of successes required = number of dogs that weigh 65 lb or more

= more than 9; >9

p = probability of success = probability of a dog weighing 65 lb or more = 0.45

q = probability of failure = probability of a dog NOT weighing 65 lb or more = 1 - 0.45 = 0.55

P(X > 9) = P(X=10) + P(X=11) + P(X=12)

Solving each of these probabilities, using the binomial distribution formula

P(X = x) = ¹²Cₓ (0.45)ˣ (0.55)¹²⁻ˣ with x = 10, 11 and 12

P(X > 9) = P(X=10) + P(X=11) + P(X=12)

= 0.00679820806 + 0.00101130368 + 0.00006895252

= 0.00787846427

= 0.00788 to 3 s.f

Hope this Helps!!!

3 0
3 years ago
Read 2 more answers
Jack spent $40 on new shoes then he spent half of what he had left on clothes finally he gave five dollars to his brother now he
aleksandrvk [35]
This is a working backwards problem.  You know he has $35 at the end.  Before he gave his brother $5, he would have $40, which is half of what he had before he bought the clothes, so he would have had $80.  Before he spent the $40 on shoes, he would have had $120, so the answer is $120.
4 0
3 years ago
1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
Murrr4er [49]
Q1. The answers are (–1, 8), (0, 7), (3, 18)

<span>–3x + y ≥ 7
</span>Let's go through all choices:

<span>(–2, –3) 
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7       INCORRECT

(–1, 8) 
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7       CORRECT

(0, 7) 
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7       CORRECT

(1, 9) 
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7       INCORRECT

(3, 18) 
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7       CORRECT



Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes

</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0
8 0
3 years ago
Lilly made a 89 on her Math test. The test had 26 questions, how many questions did she miss?
anygoal [31]
She missed 3 questions, 


11/100 equals x/26 
^set up this proportion 
you get 286 equals 100x
and x equals 2.86

round this to 3 questions

to check your work, do 23/26 
6 0
3 years ago
Look at the graph shown<br> Which equation best represents the line?
Brilliant_brown [7]

y=\frac{11}{4}x +4 is the equation best represents the line.

Solution:

Take any two points on the line.

Let the points be (0, –4) and (4, 7).

x_1=0,y_1=-4,x_2=4, y_2=7

General form of equation of a line is y = mx + c

where m is the slope and c is the y-intercept of the line.

<em>y-intercept is the point which line crosses at y-axis.</em>

In the given line, y-intercept is 4.

c = 4

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{7-(-4)}{4-0}

$m=\frac{11}{4}

Equation of the line:

y = mx + c

y=\frac{11}{4}x +4

Hence y=\frac{11}{4}x +4 is the equation best represents the line.

5 0
3 years ago
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