Answer:
try doing cross out way
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
When you substitute 15 in for y, you get the equation 4(15) which is the same as 4×15. And 4×15=60. Hope this helps! :)
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.
Alex's z score of 1.6 means her frequency of anxiety symptoms are 1.6 standard deviations more than the mean of all patients.
Z-score is defined as the relationship between a particular value or data to the mean of all the data present in a normal distribution. When the z-score is zero that means the data is equal to the mean.
where x=raw data, 
=mean and 
= standard deviation
Standard Deviation is a measure of how dispersed a data set is around its mean or central value. Numerically Standard deviation is defined as the square root of the variance of the distribution.
- Lower standard deviation means the data is clustered together
- A higher standard deviation means that the data is spread out over a larger area.
In the given problem as the z-score of Alex is given as 1.6, we can infer that the frequency of anxiety symptoms for Alex is 1.6 standard deviations more than the mean data.
Therefore from the above formula
To learn more about Z score:
brainly.com/question/25638875
To learn more about Standard deviation :
brainly.com/question/13905583
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Hello,
C and D are positive
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