160/140 = x/56
cross multiply
(140)(x) = (160)(56)
140x = 8960
x = 8960/140
x = 64 lbs <== Vince's weight on the other planet
It would be 179,000. You just multiply them together.
Answer:
16
Step-by-step explanation:
1/2 ^(-1)=2
8×2=16
Hope that helped.
Answer:
The percentage of people that scored less than Calvin is 38.21 %
Step-by-step explanation:
In this question, we are concerned with calculating the percentage of exam scores lesser than what Calvin scores.
To calculate this, we first need to calculate the standard score or the z-score of Calvin result.
Mathematically;
z = (x - mean)/SD
from the question, x = 78, mean = 81 and SD = 10
Substituting this, we have
z = (78 -81)/10 = -3/10 = -0.3
So we proceed to calculate the probability.
P(x < 78) or P(z < -0.3)
We make use of the standard table to get this probability
P(z< - 0.3) = 0.38209
In percentage, this is same as 38.209% or more simply 38.21%
Answer: 1,376
Step-by-step explanation: All we need to do is take our explicit formula and plug in the information we need to know for the problem.
Explicit formula - 
We are trying to find the 77th term of this sequence so we first have
.
We know
is 8 because that's the first term in our arithmetic sequence.
The variable <em>n</em> represents the number of terms we're trying to solve for which is 77. So that will be 77 - 1 and then we are going to multiply that by our common difference which is 18.
So plugging into the formula, we have 
So now we can go ahead and simplify this
information and see what we get.
So simplifying inside parentheses first, we get 76 and we multiply that by 18 to get 1,368.
So therefore we have
which is 1,376.