The grade of her sci test was 61. First I add 37 to 85, the sum being 122. Then if you divide it in half, you get the quotien and final answer of 61
First, you have to do some factorization
60 = {1,2,3,4,5,6,10,12,15,20,30,60}
72 = {1,2,3,4,6,8,9,12,18,24,36,72}
the GCF is 12
now we find the number that you multiply by 12 to get 60 and another number to get 72.
12 x 5 = 60
12 x 6 = 72
now we notice if you add 60 + 72, we can now tell that it also equals (12)(5)+(12)(6)= 12(5+6)
Answer:
8x + 100
Step-by-step explanation:
Your answer is correct! But because the equation is already set to "y =", you do not need the "f(x)" in your equation.
Answer:
D. 27:1331
Step-by-step explanation:
The volume ratio for the two solids is the side length ratio raised to the third power.
3 to the 3rd power = 27
11 to the 3rd power = 1331
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = $5
For the alternative hypothesis,
µ < $5
number of samples taken = 10
Sample mean, x = (4 + 3 + 2 + 3 + 1 + 7 + 2 + 1 + 1 + 2)/10 = 2.6
To determine sample standard deviation, s
s = √(summation(x - mean)/n
n = 12
Summation(x - mean) = (4 - 2.6)^2 + (3 - 2.6)^2 + (2 - 2.6)^2 + (3 - 2.6)^2 + (1 - 2.6)^2 + (7 - 2.6)^2 + (2 - 2.6)^2 + (1 - 2.6)^2 + (1 - 2.6)^2 + (2 - 2.6)^2 = 30.4
s = √30.4/10 = 1.74
Since the number of samples is 10 and no population standard deviation is given, the distribution is a student's t.
Since n = 10,
Degrees of freedom, df = n - 1 = 10 - 1 = 9
t = (x - µ)/(s/√n)
Where
x = sample mean = 2.6
µ = population mean = 5
s = samples standard deviation = 1.74
t = (2.6 - 5)/(1.74/√10) = - 4.36
We would determine the p value at alpha = 0.05. using the t test calculator. It becomes
p = 0.000912
