Answer:
192cm^3
Step-by-step explanation:
V=Bh
B= 1/2bh
B= 16
h=12
V= Bh= 16 x 12= 192
just an FYI- this is a triangular prism
Answer:
7.5
Step-by-step explanation:
(15/5)-0.4-0.4-0.4-0.4-0.4-0.4-0.4-0.2=0
Answer:
increase = New number - original number
inc % = (increase ÷ original number) *100%
Step-by-step explanation:
133 - 76 = 56
inc % = 57 ÷ 76 = 0.75
0.75*100% = 75%
Answer:
b. A binomial variable with 25 independent trials
Step-by-step explanation:
The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.
we are given that variance of R=6 and p=probability of success=0.4.
We know that variance of binomial distribution is
Variance=npq
where q=1-p=1-0.4=0.6.
By putting the values in variance formula, we can get the value of n.
6=n*0.4*0.6
6=0.24*n
n=6/0.24
n=25
Hence, random variable R is a binomial variable with 25 independent trials.
We are tasked to solve the three angles given that we have the measurements of the sides such as
a = Zack to Rachel distance
b = Rachel to Maddie distance
c = Maddie to Zack distance
a =3
b =2.5
c =4
Solving the angles we need to use Law of Cosines:
cos A = 2.5² + 4² -3² /2*2.5*4
A = 48.59°
cos B=3² + 4² - 2.5² / 2*3*4
B = 38.625°
C=180 - 48.59° - 38.625°
C= 92.79°
The three angles are 48.59°,38.63° and 92.79°.
