Answer:
9 is your answer for x.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, & =
Parenthesis
Exponent (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 13 & 8x from both sides:
2x (-8x) + 13 (-13) = 8x (-8x) - 41 (-13)
2x - 8x = -41 - 13
Simplify. Combine like terms:
-6x = -54
Isolate the variable, x. Divide -6 from both sides:
(-6x)/-6 = (-54)/-6
x = (-54)/(-6)
x = 9
x = 9 is your answer.
~
Answer:
19 dollars
Step-by-step explanation:
To find out how much the cost was for each person, you take the total cost and divide by the number of people...
589/31
=19
Tape diagrams are simple. Look at the picture I put in the comments
Answer:
And if we solve for a we got
The highest total cholesterol level a woman in this 20–34 age group can have and still be in the bottom 1% is 91.771 mg per deciliter
Step-by-step explanation:
Let X the random variable that represent the cholesterol level of a population of women between 20-34, and for this case we know the distribution for X is given by:
Where
and
We want to find the highest value for the bottom 1% in the distribution, so we need to find a value a who satisfy the following conditions:
(a)
(b)
We can find a z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. And we can verify that on this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.099
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
The highest total cholesterol level a woman in this 20–34 age group can have and still be in the bottom 1% is 91.771 mg per deciliter