Answer:
E 0.923
Step-by-step explanation:
The Z score is a measurement used in statistics to determine the relationship between a value and a mean of a group of values measured as standard deviation from the mean. The z score (z) is given as:
, Where μ is the mean, σ is the standard deviation and x is the value.
Given that:
σ = 7, μ = 80 and x = 90
From the normal distribution table, P(X < 90) = P(z < 1.43) = 0.923
Answer:
250 - 20 < 80 + 15x
Step-by-step explanation:
Given that
Beth has 250 books and 20 books sold each week
While on the other hand, Martin has 80 books and sell 15 books each week
Let us assume each week be x
Now the equations are
Beth 250 - 20x
Martin 80 + 15 x
Now the inequality would be
250 - 20 < 80 + 15x
Answer:
Step-by-step explanation:
Given:
To find
Using trigonometric relations for sums and differences of squares of the ratios.
We know:
Plugging in in the above relation.
Subtracting both sides by 0.75.
Taking square root both sides.
∴ (Answer)
<u>Answer:</u>
First car: 35 gallons
Second car: 15 gallons
<u>Step-by-step explanation:</u>
Assuming to be the gas consumed by 1st car and to be the gas consumed by 2nd car.
We know that:
Distance traveled = fuel efficiency × gas consumed
So
Therefore, first car consumed 35 gallons while second car consumed 15 gallons.
Answer:
(0,-2)
maximum
Step-by-step explanation:
-x∧2-2 = -1 (x∧2) -2
so the vertex should be (0,-2)
As it is negative for the x∧2, so the graph opens downwards. So, the vertex is a maximum.