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grandymaker [24]
3 years ago
9

The weights of laboratory cockroaches follow a normal distribution with mean 80 grams and standard deviation 2 grams. about what

percent of the cockroaches have weights between 76 and 84 grams?
Mathematics
2 answers:
MatroZZZ [7]3 years ago
7 0
86% if im correct, i got this answer because of the standard deviation, even though, im not 100% sure im correct, do some researching for this answer on top of mine!
Ad libitum [116K]3 years ago
3 0

Answer:

95%

Step-by-step explanation:

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a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measure
dolphi86 [110]

Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

The ball will go over the net

Step-by-step explanation:

we are given

The ball follows a path given by the equation

y=-0.01x^2+0.5x+3

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

8=-0.01x^2+0.5x+3

8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100

800=-x^2+50x+300

-x^2+50x-500=0

x^2-50x+500=0

we can use quadratic formula

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-500\right)}}{2\left(-1\right)}

x=5\left(5-\sqrt{5}\right),\:x=5\left(5+\sqrt{5}\right)

x=13.82,x=36.2

So, distance from player should be 13.82 feet or 36.2 feet

(b)

we can plug x=30 and check whether y=8 ft

y=-0.01(30)^2+0.5(30)+3

y=9ft

we know that

height of net is 8 ft

so, the ball will go over the net


5 0
3 years ago
Stacey owns a lot that has 180 feet of front footage and contains 36,000 square feet. She purchases two lots adjacent to each si
bija089 [108]
The graph of the function f(x)=(x+2)(x+6) is shown

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3 years ago
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What is the product of (–0.5)(–1.2)(–5.22)?
Gnoma [55]
-3.132 is the answer, you just had to multiply all of them one at a time (:
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2 years ago
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Find the slope of the line through each pair of points.<br> (2, -4), (5,-8)
slega [8]

Answer:

m=-\frac{4}{3}

Step-by-step explanation:

Slope=m=\frac{y_2-y_1}{x_2-x_1}

Here

(x_1, y_1)=(2, -4) \ \ and \ \  (x_2, y_2)=(5, -8)

m=\frac{-8-(-4)}{5-2}

m=-\frac{4}{3}

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