The ACT score was better since the z-score of the ACT is greater than the z-score of the SAT. Then the correct option is B.
<h3>What is a normal distribution?</h3>
It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The z-score is given as
In 1985, the average ACT score was 18 with a standard deviation of 6.
Also in 1985, the average SAT score was 500 with a standard deviation of 100.
Dr. Robertson took both tests in 1985 and scored a 26 on the ACT and a 620 on the SAT.
Then the z-score of the ACT will be
Then the z-score of the SAT will be
Then the ACT score was better since the z-score of the ACT is greater than the z-score of the SAT.
More about the normal distribution link is given below.
brainly.com/question/12421652
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65 millimeters to meters is .065 and you would know this because there's .001 millimeters in 1 meter so with 65 you would move the decimal up 3 spaces o make .065m
If we know that 128 is 74% of something, we can write it like this:
74%x=128.
If we take the percent away (percent means by hundred in latin, 1%=1/100), we'll have
74/100 *x=128
//let's multiply both sides by 100, that way we can get rid of the ugly "/100 because 100/100 = 1, and we can ignore 1 in multiplications
100*74/100 *x = 128 *100// let's simplify the left side: 100/100=1
74*x=128*100// let's calculate the right side now
74*x=12800// now we have to divide both sides by 74
x=12800/74
if we divde this, we have: 172 + 72/74. (why? see below)
We can simplify the fraction by division by 2: 172 36/37
00172
_______
12800:74
-74
___
540
- 518
-------
220
148
_________
72
Answer:
there are no extraneous solutions to the equation
Step-by-step explanation:
Given
= x + 2 ( square both sides )
8x + 9 = (x + 2)² ← expand
8x + 9 = x² + 4x + 4 ( subtract 8x + 9 from both sides )
0 = x² - 4x - 5 ← in standard form
0 = (x - 5)(x + 1) ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 5 : 
= 
= 7
right side = 5 + 2 = 7
left side = right side ⇒ x = 5 is a solution
x = - 1 : 
= 
= 1
right side = - 1 + 2 = 1
left side = right side ⇒ x = - 1 is a solution
There are no extraneous solutions
Answer:
2. 0.93
3. 1.13
Step-by-step explanation:
2. 0.93
decreasing means - to the 100%
3. 1.13
increasing means + to 100%
