Answer:
First, these angles are alternate interior angles.
Step-by-step explanation:
(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.
Thus, to find x, we will set each angle equal to the other.
Solve for x. Collect like terms
Distributive is
a(b+c)=ab+ac
ab+ac=a(b+c)
perimiter of a rectangle=distance around
we have
P=L+W+L+W if we go around
so
P=L+L+W+W
P=2L+2W
undistribute 2
P=2(L+W)
I think it's 5 because i remember learning that it's gonna be half of what the bottom is
Answer:
The equation's result: 32,000 (Rounded)
Goal: Find the closest or equivalent result in another expression
Step-by-step explanation:
<h3>A)</h3>
How we got to 31,636 was by dividing from left to right.
Remember: When dividing decimals, it's like multiplying whole numbers in a way. The number(the quotient, also) ends up bigger instead of being smaller like when dividing whole numbers. If you multiply decimals, they(the product) end up smaller.
Therefore, A is the correct answer.
Complete Question
A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthorn wand has a price of 45.20. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places
Answer:
0.1151
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = $45.20
μ is the population mean = $50
σ is the population standard deviation = $4
We are solving for x < 45.20
Hence:
z = 45.20 - 50/4
z = -1.2
Probability value from Z-Table:
P(x<45.20) = 0.11507
Approximately to 4 decimal places = 0.1151
Therefore, the proportion of wand prices that are lower than the price of the blackthorn wand is 0.1151
