About 4.01% of the test scores in the normal distribution that are greater than 90
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Z score is given by:
z = (raw score - mean) / standard deviation
Given that mean score is 76, and the standard deviation is 8.
For x > 90:
z = (90 - 76) / 8 = 1.75
P(z > 1.75) = 1 - P(z < 1.75) = 1 - 0.9599 = 0.0401
About 4.01% of the test scores in the normal distribution that are greater than 90
Find out more on equation at: brainly.com/question/2972832
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Answer:
x=84 :)
Step-by-step explanation:
Answer: No
Step-by-step explanation:No
To solve this we are going to use the exponential function:
where
is the final amount after
years
is the initial amount
is the decay or grow rate rate in decimal form
is the time in years
Expression A
Since the base (0.95) is less than one, we have a decay rate here.
Now to find the rate
, we are going to use the formula:
*100%
*100%
*100%
5%
We can conclude that expression A decays at a rate of 5% every three months.
Now, to find the initial value of the function, we are going to evaluate the function at
We can conclude that the initial value of expression A is 624.
Expression B
Since the base (1.12) is greater than 1, we have a growth rate here.
To find the rate, we are going to use the same equation as before:
*100%
*100
*100%
*100%
12%
We can conclude that expression B grows at a rate of 12% every 4 months.
Just like before, to find the initial value of the expression, we are going to evaluate it at
The initial value of expression B is 725.
We can conclude that you should select the statements:
- Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every fourth months.
- Expression A has an initial value of 624, while expression B has an initial value of 725.
<h2><u>
Answer:</u></h2>
x = 3
y = -8
<h2><u>
Step-by-step explanation:</u></h2>
x + y = -5
x - y = 11
Since the y's will cancel out, we don't need to modify the two equations in any way.
Now, just add the two equations.
x + x = 2x
y + (-y) = 0
-5 + 11 = 6
2x = 6
Divide by 2.
x = 3
To find y, plug 3 in as "x" in one of the two equations.
3 + y = -5
y = -8