Answer:
Fraction = 1/4, Decimal = 0.25, Percent = 25%
Step-by-step explanation:
Given the picture, we can see the circle is divided into four pieces. One of the pieces is shaded. So, since we have one out of four pieces shaded, we would represent this as 1/4 as a fraction. As a decimal, enter 1 divided by 4 into your calculator, and it will give you 0.25. To find a percentage value, take your decimal and multiply it by 100. 0.25*100= 25%
Answer:
16 sq. yds
Step-by-step explanation:
1. Split the shape into 2
The small square is 2(2) = 4
The bigger rectangle is 3(4) = 12
4 + 12 = 16 sq. yds
Answer:
C. ∠M
Step-by-step explanation:
Answer: a) margin of error = 61.25, b) sample size when margin of error is 45 = 30
Step-by-step explanation:
The formulae to get the margin of error of a confidence interval is given as
Margin of error = critical value * (σ/√n)
Where σ = population standard deviation = 125
n = sample size = 16
Critical value =Zα/2 = 1.96 ( this is so because we are performing a 95% confidence level test then level of significance (α) will be 5% and since our test is of two values, it will be 2 tailed).
Margin of error = 1.96 * (125/√16)
Margin of error = 1.96 * 125/4
Margin of error = 1.96 * 31.25
Margin of error = 61.25
Question b)
Margin of error = 45
Critical value =Zα/2 = 1.96
Population standard deviation = σ = 125
Sample size =n =??
By recalling the formulae
Margin of error = critical value * (σ/√n)
45 = 1.96 * (125/√n)
45 = (1.96 * 125)/√n
45 = 245/√n
45 * √n = 245
√n = 245/ 45
√n = 5.444
n = (5.444)²
n= 29.64 which is approximately 30.
Step-by-step explanation:
1/5=1/5×1000=200
1/2 of 200
1/2×200=100
