The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
V2 = (27) * V1
Answer:
The relationship between the volumes of the two prisms is:
V2 = (27) * V1
Answer:
£5200
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year,
then, solving our equation
I = 5000 × 0.02 × 2 = 200
I = £ 200.00
The simple interest accumulated
on a principal of £ 5,000.00
at a rate of 2% per year
for 2 years is £ 200.00.
Answer:
x = 10
Step-by-step explanation:
Hey there!
To solve this question we will use PEMDAS (order of operations)
4x−7=8x+33
Subtract 8x from both sides.
4x−7−8x=33
Combine 4x and −8x to get −4x.
−4x−7=33
Add 7 to both sides.
−4x=33+7
Add 33 and 7 to get 40.
−4x=40
Divide both sides by −4.
x= 40/-4
Divide 40 by −4 to get −10.
x=−10
Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.
For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of <u>exactly x successes on n repeated trials, with p probability</u>, and has variance given by:
In this problem:
- 95% pass final inspection, hence
- 120 components are inspected in one day, hence
.
The variance is given by:
The variance of the number that pass inspection in one day is 5.7.
To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377
Answer:
If x^2 = 1, then x = 1 is NOT true because x can also be -1.
