Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315
Answer:
Let's solve the expression!
Step-by-step explanation:



Your answer is 75.
The fraction shows 150 ÷ 2 and 2x ÷ 2.
I hope this helps!
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
You start by changing both the a common denominator, this case it would be 100 so it’s 2/100 and 5/100, since 1/50 and 2/100 is the same, each 1/100 is equal to “6” and you have 5/100, which is EQUAL TO 30
Answer:
<h3>
There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>
Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;



where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.