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Hitman42 [59]
3 years ago
15

What is the solution of this system of linear equations? 3y = x + 6 y – x = 3

Mathematics
1 answer:
Fofino [41]3 years ago
5 0
First isolate y by adding x to both sides in y-x=3 and getting y=x+3
Step 1: substitute x+3 for y in 3y=x+6 to get 3(x+3)=x+6
Step 2: distribute 3x+9=x+6
Step 3: subtract like terms 2x=-3
Step 4: divide x=-3/2

substitute -3/2 for x in y=x+3 to get
y=-3/2+3
y=3/2

answer: y=3/2 x=-3/2
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yKpoI14uk [10]

Answer:

320 cm difference

Step-by-step explanation:

<h3>Volume for Triangular prism: (1/2)(b)(h)(H)</h3><h3>Volume for Triangluar pyramid: (1/3)(1/2)(b)(h)(H)</h3>

480-160=320

6 0
3 years ago
If we accept the null hypothesis when, in fact, it is false, we have: committed a Type II error. a probability of being correct
Greeley [361]

Answer:

Correct option: Type II error.

Step-by-step explanation:

In statistical hypothesis testing two kind of errors can be committed by the researcher.

  1. Type I error: The probability of rejecting a null hypothesis when in fact it is true.
  2. Type II error: The probability of not rejecting a null hypothesis when in fact it is false.

The power of the test is defined as the probability of rejecting a false null hypothesis. It is denoted by <em>β</em>.

Then the probability of Type II error can be defined as:

P (Type II error) = 1 - <em>β</em>.

The power of the test is affected by the significance level<em>.</em>

If the significance level is less than the power is also less.

The significance level is related to the <em>p</em>-value of the test.

So the P(Correct) = 1 - <em>p</em>-value.

7 0
3 years ago
5(4 − x) = −5x + 20 i need help
adoni [48]

Answer:

x=4

Step-by-step explanation:

-5(4-x)=-5x+20

We simplify the equation to the form, which is simple to understand

-5(4-x)=-5x+20

Reorder the terms in parentheses

+(-20+5x)=-5x+20

Remove unnecessary parentheses

-20+5x=-5x+20

We move all terms containing x to the left and all other terms to the right.

+5x+5x=+20+20

We simplify left and right side of the equation.

+10x=+40

We divide both sides of the equation by 10 to get x.

x=4

3 0
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Answer:

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Dividing 52 by 8 gives you a decimal between 6 and 7. Since you can only but hamburgers in packages of 8, the inequality is 6 ≤ x ≤7 with x being the number of hamburger bags.

8 0
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