Answer: 100
5
Step-by-step explanation:
a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...
... 100 students will have grades above 70%.
b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.
... about 5 students will have grades above 84%.
Let the price of a game be X
Tonya bought three so you have 3X
Tony 's games were 0.50 less, so his price was x-0.50.
He bought 4 games so you have 4(X-0.50)
Now set the two equations to equal each other because they paid the same total amount:
3x = 4(x-0.50)
Now solve:
3x = 4(x-0.50)
Use distributive property:
3x = 4x - 2
Subtract 4x from both sides:
-x = -2
Divide both sides by -1:
x = 2
The price Tonya paid per game was $2
$2 x 3 games = $6 total.
The price Tony paid per game was $1.50
$1.50 x 4 games = $6 total.
Answer:is it 45+(35-13)
Step-by-step explanation:
not 100 percent sure
Supplementary means that the two angles add up to 180 degrees.
If mTUV= 75, and mMNO = (5x)
we can make an equation with them
75 + (5x) = 180
subtract 75 from both sides
(5x) = 105
now divide both sides by 5 to isolate the x
x = 21
now plug the value for x, 21, back into the original
This means that m MNO = 5(21)
do the multiplication
That equals 105 degrees.
Just to check plug it into the supplementary angle equation
180 ? 105 + 75
180 = 180
SO, mMNO equals 105 degrees.
He will need two minutes if he continues to eat in 30 second segments.