The z-score of a person who scored 128 on the exam is equal to 2.9
<h3>What is a
z-score?</h3>
A z-score is also referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:
Where:
- x represents the sample score.
- u represents the mean score.
- σ represents the standard deviation.
Substituting the given parameters into the formula, we have;
Z-score, z = (128 - 70)/(20)
Z-score, z = 58/20
Z-score, z = 2.9
Read more on z-scores here: brainly.com/question/26714379
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Answer:
Step-by-step explanation:
The formula for projectile motion in this case where we're dealing the "American" measure of gravity in feet per second squared, is
where s(t) is the height of the object after a certain amount of time has gone by, v₀ is the initial vertical velocity (our unknown in this case), and h₀ is the initial height.
For us, the initial height is 0 because the ball started off on the ground. What we are being asked is what is v₀, when after 2 seconds have gone by and the ball is 94 feet in the air. 94 feet in the air is the position of the ball, s(t) after t seconds go by. What we are being asked to find then, is v₀ when s(2) = 94
which simplifies to
94 = -64 + 2v₀ and
158 = 2v₀ so
v₀ = 79 feet per second
4x is the answer of the equation 3x-7=5x+1
3 men
4 women
7 total
3 men/ 7 total = 198 men/ x total
using cross products
3*x = 7 * 198
divide each side by 3
x = 7*198/3
x = 462
There are 462 workers
If you mean 3 men and 1 women for a total of 4 workers when you state a ratio of men and women in a certain factory is 3 to 4.
3/4 =198/x
Using cross products
3x = 4* 198
Divide each side by 3
3x/3 = 4*198/3
x =264
264 workers
It all depends on how you define ratio of men and women in a certain factory is 3 to 4. This is incorrect phrasing and I took it to be men to women. You cannot have a ratio of men and women.