Answer:
32 divided by 4 = 8,
8^2 + 8^2 = 128
128: 11^2 = 121 close enough, 11 is your answer
We are finding hypotenuse but first we find the length of all sides of the two squares to find the two sides of the triangle then we find hypotenuse.
Answer: -2
Step-by-step explanation:
y-intercept: (0,5)
A. The point estimate of μ1 − μ2 is calculated using the value of x1 - x2, therefore:
μ1 − μ2 = x1 – x2 =
7.82 – 5.99
μ1 − μ2 = 1.83
B. The formula for
confidence interval is given as:
Confidence interval
= (x1 –x2) ± z σ
where z is a value
taken from the standard distribution tables at 99% confidence interval, z =
2.58
and σ is calculated
using the formula:
σ = sqrt [(σ1^2 /
n1) + (σ2^2 / n2)]
σ = sqrt [(2.35^2 /
18) + (3.17^2 / 15)]
σ = 0.988297
Going back to the
confidence interval:
Confidence interval
= 1.83 ± (2.58) (0.988297)
Confidence interval
= 1.83 ± 2.55
Confidence interval
= -0.72, 4.38
ANSWER
The length of the rectangular field is 99 yards
EXPLANATION
Given information
The perimeter of a rectangle field is 372 yards
The width of the field is 87 yards
To find the length of the rectangular field, follow the steps below
Step 1: Write the formula for finding the perimeter of a rectangular field
Step 2: Substitute the given data into the formula in step 1
Hence, the length of the rectangular field is 99 yards
Answer:
1. 3 2. 16
Step-by-step explanation:
3x+2/y, x = 3 and y = 6
3(3)/6
Factor the number
3*3*2/3*2
Cancel the common factor (3)
3*2/2
Cancel the common factor (2)
3/1
Simplify
=3
(4a)^3/(b-2), a = 2, b = 4
(4(2)^3/(4-2)
Subtract the numbers:
2^3 * 4/2
Apply exponent rule (a^b*a^c=a^b+c)
= 2^3+1
Add the numbers:
2^4
Simplify:
=16
