Answer:


Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 500
Standard Deviation, σ = 100
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.64
P(X<x) = 0.64
Calculation the value from standard normal z table, we have, 


A simple way to look at how to check for equivalent fractions<span> is to do what is called “cross-multiply”, which means multiple the numerator </span>of<span> one </span>fraction <span>by the denominator </span>of<span> the </span>other fraction<span>. Then do the same thing in reverse. Now compare the two answers to see </span>if<span> they are </span>equal<span>.</span>
Answer:
<em>Daniel does have enough money to make this car payment</em>
Step-by-step explanation:
<u>Addition and Subtraction</u>
Daniel has an initial balance of $460.63 on this checking account.
He must pay $85.23 for groceries.
The new balance is $460.63 - $85.23 = $375.40
He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.
He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.
Daniel has to make his $264 car payment. The balance is $346.19, thus:
Daniel does have enough money to make this car payment
Answer:
y = 2
x = 5
Step-by-step explanation:
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×4 |
12x + 15y = 30
12x - 12y = 84
____________--
27y = -54
y = -54/27
y = 2
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×5 |
12x + 15y = 30
15x - 15y = 105
____________+
27x = 135
x = 135/27
x = 5