Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = = ( multiply both sides by 36 )
288 = k
F = ← equation of proportion
When F = 7 , then
7 = ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = ( take the square root of both sides )
d = ± ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )
Answer:
(0,-4) — (2,0) — (-3,-10) are solutions to the equation
Step-by-step explanation:
Just plug in the x and y values of the set in the equation.
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The probability that the sample mean would be less than 40.6 dollars will be 0.534.
<h3>What is a normal distribution?</h3>
The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is given as
z = (x – μ) / σ
The mean cost of a five pound bag of shrimp is 40 dollars, with a standard deviation of 7 dollars.
If a sample of 51 bags of shrimp is randomly selected.
Then the probability that the sample mean would be less than 40.6 dollars will be
z = (40.6 – 40) / 7
z = 0.0857
Then the p-value will be
P(x < 40.6) = P(z < 0.0857)
P(x < 40.6) = 0.534
More about the normal distribution link is given below.
brainly.com/question/12421652
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Answer:
Your answer would be 4! Or if you want it in fraction form then it would be 7/3!
7x-1/2(8x+2)=6
We simplify the equation to the form, which is simple to understand
7x-1/2(8x+2)=6
Simplifying:
7x-0.5*(8x+2)=6
Reorder the terms in parentheses
7x+(-4x-2)=6
Remove unnecessary parentheses
+7x-4x-2=+6
We move all terms containing x to the left and all other terms to the right.
+7x-4x=+6+2
We simplify left and right side of the equation.
+3x=+8
We divide both sides of the equation by 3 to get x.
x=7/3
Answer:
$600 (ML), $200 (MW), $1,035 (total raised), $965 (need to raise needed)
Step-by-step explanation:
50 % 50/100 = 0.5
$1200 x 0.5 = $600 Mrs LeBlanc's class has raised
$600/3 = $200 Ms. Warner's class has raised (MW)
600 + 200 + 235.14 = $ 1,035 Has been raised
1,200 - 1,035 = $965 is the amount they still need to raise