Answer:
The value of x is, 
Explanation:
Given: 
Distributive Property states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately.
If 
Now, using distributive property on left hand side of the given expression as:
or 
Addition Property of equality state that we add the same number from both sides of an equation.
Add r to both sides of an equation:
Simplify:
Subtraction Property of equality state that we subtract the same number from both sides of an equation.
Subtract Nx from both sides of an equation;
Simplify:
or
Division Property of equality states that we divide the same number from both sides of an equation.
Divide by (34-N) to both sides of an equation;
On Simplify:
After an hour (4pm to 5pm) the temperature drops 18e⁻⁰˙⁶=9.9℉, so the temperature after an hour will be 68-9.9=58.1℉.
(The change -18e⁻⁰˙⁶ is negative indicating a drop in temperature.)
Answer: 17.3% of 45.94 km is 7.95 km
Answer:
See steps below
Step-by-step explanation:
-3(2x+7)=-29-4x
Use the distributive property
-6x-21=-29-4x
Add 21 to each side
-6x=-8-4x
Add 4x to both sides
-2x=-8
Divide by -2
x=4
Answer:
3.84% probability that it has a low birth weight
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If we randomly select a baby, what is the probability that it has a low birth weight?
This is the pvalue of Z when X = 2500. So
has a pvalue of 0.0384
3.84% probability that it has a low birth weight
