Answer:
25 inches^2
Step-by-step explanation:
The formula for the area of a triangle is A = (1/2)(base)(height).
Here the base, b, is 10 inches and the height, h, is 5 inches.
Thus, the area of this triangle is
A = (1/2)(base)(height) = (1/2)(10 inches)(5 inches) = 25 inches^2
Answer:Find out the expressions for the number of sweets sue and tony have now .
To proof
As given
Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets
thus
sue sweets = 18 - x
Tony sweets = 18 + x
As given
Sue then eats 5 sweets. Tony then eats half of his sweets
sue sweets becomes = 18 -5 -x
= 13 - x
Hence proved
Step-by-step explanation:
Answer:
Option D
Step-by-step explanation:
f(x) = -4x + 2
f(-1) = -4(-1) + 2 = 4 + 2 = 6
Given:250 sheep in a 40-acre pasture.Number of sheep grazing in each acre.
250/40 = 6.25 or 6 sheep per acre
n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50
multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75
divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125
square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid
z value 95% confidence 1.96.
Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of errorSample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error
Answer:
0.7
Step-by-step explanation:
The Probability of Chips in Urn 1
P(R) = 3/4
P(W) = 1/4
The Probability of Chips in Urn 2
P(R) = 1/2
P(W) = 1/2
The problem can be solved using probability tree method. The probability tree of the given question is attached with the answer.
The Probability tree shows the exchange of chips firstly and then the final probability of Red Chips and White Chips in Urn 1.
To find the final answer we can sum up the probabilities of the branches which are ticked in the diagram.
Probability of Branch 1 (ticked in diagram)
3/4 x 3/5 x 3/4 = 0.3375
Probability of Branch 2 (ticked in diagram)
3/4 x 2/5 x 2/4 = 0.15
Probability of Branch 3 (ticked in diagram)
1/4 x 2/5 x 1 = 0.1
Probability of Branch 4 (ticked in diagram)
1/4 x 3/5 x 3/4 = 0.1125
Final Probability = 0.3375 + 0.15 + 0.1 + 0.1125
= 0.7 Answer
