Answer:
Didn't know how far I was needed to go, but I hope something there helps you.
Step-by-step explanation:
9p - 3p +2 = 0
6p +2 = 0
6p = -2
p = -2/6
p = -1/3
Answer:
3. r = -8
4. x = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2(-5r + 2) = 84
<u>Step 2: Solve for </u><em><u>r</u></em>
- Divide 2 on both sides: -5r + 2 = 42
- Subtract 2 on both sides: -5r = 40
- Divide -5 on both sides: r = -8
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: 2(-5(-8) + 2) = 84
- Multiply: 2(40 + 2) = 84
- Add: 2(42) = 84
- Multiply: 84 = 84
Here we see that 84 does indeed equal 84.
∴ r = -8 is a solution of the equation.
<u>Step 4: Define equation</u>
264 = -8(-8 + 5x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Divide both sides by -8: -33 = -8 + 5x
- Add 8 to both sides: -25 = 5x
- Divide 5 on both sides: -5 = x
- Rewrite: x = -5
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in<em> x</em>: 264 = -8(-8 + 5(-5))
- Multiply: 264 = -8(-8 - 25)
- Subtract: 264 = -8(-33)
- Multiply: 264 = 264
Here we see that 264 does indeed equal 264.
∴ x = -5 is a solution of the equation.
Answer:
y= -1x+5 or y= -x+5
Step-by-step explanation:
Answer:
The hypothesis test appropriate to be used here is <em>t</em>-test for the difference between two means.
Step-by-step explanation:
In this case, the researcher is interested in the effect of gender bias in hiring, i.e. the researcher wants to determine whether there is any difference in hiring between the male and female candidates.
So the researcher selects 100 fake job application; 50 scientists received an application with a typically male name on top, while the other 50 scientists received an application with a typically female name on top.
The scientists have to rate how likely they were to hire the candidate.
It is provided that the applications were identical other than the name. That is, there are no other factors affecting the hiring of the candidate other than their gender.
After rating the candidates the researcher can compute the mean rating for both the groups.
To determine whether there is any difference between the two means, the researcher can use the <em>t</em>-test for the difference between two means to draw conclusions about the experiment.
Thus, the hypothesis test appropriate to be used here is <em>t</em>-test for the difference between two means.
I believe that they will get 1 and 1/2 of a pizza and u would have to cut the pizza in half to the point u can give all four of them the left over I hope this works I really don't know I tried
