Answer:
Yes
Step-by-step explanation:
576Km:6Hrs
576 divided by 6=96 km
6 divided by 6=1
96km:1hr
96 was the coaches speed limit
km=Kilometers
Hrs=Hours
96>90
Answer:
Step-by-step explanation:
Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.
Mean of the sample is,
Standard deviation of the sample is,
The confidence interval will be,
Here,
Z for 95% confidence interval is 1.96, and n is sample size which is 24.
Putting the values,
Confidence interval is used to express the degree of uncertainty associated with a sample.
95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.
Answer:
$516
Step-by-step explanation:
first you multiply 12 and 25 and you get 300
then you multiply 12 and 18 and you get 216
Then finally you add 216 and 300 together to get $516
Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved
Answer:
36:54:90
Step-by-step explanation:
you add all the parts together (2+3+5) which is 10. then you divide 180 by 10 because angles in triangle add up to 180. so 18 is one part
then you just times 18 by each part in the ratio