Answer:
400 and 500
Step-by-step explanation:
the ratios are 8:10
total ratio = 8+10 = 18
share for the ratio is 8 = 8/18×900
= 0.444444444×900= 400
therefore, share for the ratio of 8= 400
share for the ratio of 10= 10/18×900
= 0.555555555×900=500
therefore, share for the ratio of 10= 500
Answer:
What is the average rate of change from x = −4 to x = 1? x= -4 x + 5
Step-by-step explanation:
f(x) = 1/3|x|
then
f(x) = 1/3x , if x ≥ 0
and
f(x) = -1/3x , if x ≤ 0
the slope of f(x) = 1/3x is 1/3
the slope of f(x) = -1/3x is -1/3
this two above conditions apply on to the fourth graph to the right.
Step-by-step explanation:
Convert the speeds of Amir and Ryder to meters per second (m/s).
Amir:
8260 mm/s = 8.260 m/s
Ryder:
930 cm/s = 9.30 m/s
9.30 m/s > 8.260 m/s, so:
Ryder ran approximately 1 meter per second faster than Amir.
Answer:
a.) .95
b.) The expected number of baskets is 10.50.
c.) 1.7748
Step-by-step explanation:
a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.
b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.
c.) The standard deviation of a binomial distribution can be calculated by the formula
. Plugging in the numbers you get
=1.7748.