Answer:
0.97547
Step-by-step explanation:
Given That:
Mean (m) = 102
Standard deviation (σ) = 12
Sample size (n) = 63
Probability that sample mean would differ from Population mean by less than 3.4 watts
P(m - s < X < m + s)
P(102 - 3.4 < Z < 102 + 3.4)
Using the Z formula :
Zscore = (x - m) / (σ/√n)
x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4
Z = (98.6 - 102) / (12/√63) = −2.248888
P(Z < - 2.2488) = 0.012263 (Z probability calculator)
Z = (105.4 - 102) / (12/√63) = 2.2488886
P(Z < 2.2488) = 0.98774 (Z probability calculator)
0.98774 - 0.012263 = 0.97547
Answer:
B. y² – 5y = 750
C. 750 – y(y – 5) = 0
E. (y + 25)(y – 30) = 0
I'm assuming the 2 in the second option is supposed to be an exponent.
Step-by-step explanation:
Length = y
Width = y-5
Length × Width = Area
Area = <u>y(y-5)</u> = 750
<u>Distribute.</u>
y²-5y=750 (B is correct)
<u>If you factor the equation above</u>
(y + 25)(y – 30) = 0 (E is correct)
Area = y(y-5) = 750
<u>Subtract y(y-5) from both sides.</u>
750-y(y-5) = 0 (C is correct)
2b: If x is 2.1, then one side of the rectangle is 2.1, and another is 2.1*5=10.5. Thus, the perimeter is 2*(2.1+10.5)=2*12.6=25.2.
3: One side of the square with side-length three will not be on the outside, so we have 3*3=9 inches perimeter from the square of side-length 3. The square of side-length 6 has 3 from the top side missing from the outer perimeter, because it coincides with a side of the square of side-length three. This square contributes 6*4-3=33 inches. The total perimeter is 33+9=42 inches.
<h2>
Answer:</h2>
C = 2πr
r = C/2π ...(1)
A = πr²
A = π(C/2π)² = πC²/4π²
A = C²/4π.
<u>Correct choice</u> - [A] A = C²/4π.
260+(20x) =140+(30x)
x represents the number of months.
subtract 20x from both sides and subtract 140 from both sides
120=10x
divide each side by 10
12=x
So in 12 months, Jamal will have paid the same amount to both shops.
To check your answer, you plug in 12 for x.
260+20(12)=140+30(12)
260+240=140+360
500=500
Hope this helps.
