Answer:
75,62.5
Step-by-step explanation:
Given that Mr. Dennis gave his class a 20-question multiple choice quiz. The distribution of raw scores had a mean of 15 and a standard deviation of 2.5
If X is the correct questions in the 20 mcq then
X is with mean = 15 and std dev = 2.5
when score is multiplied by 5
random variable now is
Y = 5x
E(Y) = Mean of Y = 
Thus new score out of 100 would have mean = 75 and std deviation = 62.5
A + b + c = 12
c = (a + b) - 2.....c - a - b = -2
3a + 1 = 2c
add the first 2 equations
a + b + c = 12
-a - b + c = -2
------------------add
2c = 10
c = 5 <== longest side is 5
sub in 5 for c in the 3rd equation
3a + 1 = 2c
3a + 1 = 2(5)
3a + 1 = 10
3a = 10 - 1
3a = 9
a = 3 <== shortest side
now sub in 5 for c and 3 for a back into the first equation
a + b + c = 12
3 + b + 5 = 12
b + 8 = 12
b = 12 - 8
b = 4 <== other side
Answer:
6:9
Step-by-step explanation:
Lets assume the relationship between the amount of blue and red marbles are proportional. If there are 6 red marbles , then we would need need to find out how much times you multiplied 2 by to get.
6/2 is 3, which means that you multiplied the red marbles by 3 to get 6 of them.
Since the relationship between red and blue marbles is equivalent, we just need to multiply the blue marbles by 3 as well, to even it out.
3x3=9
There are 9 blue marbles if there are 6 red marbles.
Answer:
1a. y=550(8) + 25
1a. the yer of this problem is 25 because it is a real number. it represents your Y-intercept because they are getting paid $550 an hour and getting paid an additional $25 for doing the job. The slope of this problem would be $550 because that is how much they are getting paid an hour.
2. What you would need to do is take 500/5 and 500/56 and that would give you how ever many bags you can buy per lawn sediment. (you really don't need to write an equation for the next part even though it says you need one)
2.y=500/5 and y=500/56
Step-by-step explanation:
Answer:
The percentage of her shots that will travel less than 180 yards is approximately 15.9%
Step-by-step explanation:
First it will be required to find the standard or z-score from the following formula
Where:
z = z or standard score
x = value that is observed = 180 yards
μ = Sample mean = 200 yards
σ = Sample standard deviation yards
Plugging the values, we have;
Therefore, the probability that her shots will travel less than 180 is given by the relation;
p( x < 180 yards) = p(z < -1) = 0.15866
Therefore, the percentage of her shots that will travel less than 180 = 0.15866 × 100
= 15.866% ≈ 15.9%.
