If you mean $11 & 791 cents, then it would be $18 & 91 cents
Answer:
x=-4
Step-by-step explanation:
−3(7−2x)+3=8x−10
Step 1: Simplify both sides of the equation.
−3(7−2x)+3=8x−10
(−3)(7)+(−3)(−2x)+3=8x+−10(Distribute)
−21+6x+3=8x+−10
(6x)+(−21+3)=8x−10(Combine Like Terms)
6x+−18=8x−10
6x−18=8x−10
Step 2: Subtract 8x from both sides.
6x−18−8x=8x−10−8x
−2x−18=−10
Step 3: Add 18 to both sides.
−2x−18+18=−10+18
−2x=8
Step 4: Divide both sides by -2.
−2x
−2
=
8
−2
x=−4
Answer:
a. z-score = -1.2
b. The age 23 years old is -1.2 standard deviations below the mean
c. The age is not unusual
Step-by-step explanation:
a. Transformation to z-score
Mathematically;
z-score = (x - μ)/σ
where σ and μ are the standard deviation and the mean respectively.
From the question, x = 23, μ = 27.2 and σ = 3.5
Let’s put these into the equation;
z-score = (23-27.2)/3.5 = -1.2
b. Interpretation of result
The interpretation is that 23 years old is -1.2 standard deviations below the mean
c. Determination
The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual
-1.2 is above -2 and thus it is not unusual
Subtraction Property of Inequality is used to solve the given inequality
<em><u>Solution:</u></em>
Given inequality is:
To solve the inequality, subtract 8 on both sides,
We know that,
Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged
Also, by Subtraction Property of Inequality,
If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well
Thus, Subtraction Property of Inequality is used
Exact value of that equation is 4
