Answer:
20
Step-by-step explanation:
Given
2x² - y ← substitute x = 3 and y = - 2 into the expression
= 2(3)² - (- 2)
= 2(9) + 2
= 18 + 2
= 20
Answer:
Step-by-step explanation:
we have
step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equation
step 2
Factor 5 left side
step 3
Complete the square
step 4
Rewrite as perfect squares
step 5
step 6
Answer:
i thought i new that one but i dont sorry
Step-by-step explanation:
Answer:
15.87% probability that the car travels more than 53 miles per gallon.
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:
Find the probability of the following events: A. The car travels more than 53 miles per gallon. Probability
This is the pvalue of Z when X = 53. So
has a pvalue of 0.8413
1 - 0.8413 = 0.1587
15.87% probability that the car travels more than 53 miles per gallon.
Answer:
Step-by-step explanation:
x = length of diagonal, can be calculated using the Law of Cosines as explained below:
a² = b² + c² - 2bc(cosA),
Where,
a = x
b = 17
c = 13
A = 64°
Plug in the values into the formula:
Length of diagonal, (to nearest whole number)