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Advocard [28]
3 years ago
12

The weight of softballs is uniformly distributed over the interval of 8 to 12 ounces, inclusively. what is the probability that

a randomly selected softball will weigh between 13 and 15 ounces?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0
We wil use the density function of the uniform distribution:
f(x)=\dfrac{1}{b-a}\int_a^xdy
Using the given values: a=8,b=12, w get:
P(13\leq X\leq15)=\dfrac{1}{12-8}\int_{13}^{15}dy\\
=\dfrac{1}{12-8}*0=0
the probability is zero then.
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If 3/7 of Z is 42, what is 5/7 of Z?
Anastasy [175]

Answer:

x = 70

Step-by-step explanation:

First to make the equation easy, divide 42 by 3 to get what 1/7 of Z equals.

42 / 3 = 14

Now to get 5/7 of Z, just multiply 14 by 5.

14 x 5 = 70

x = 70

Hope this helped.

3 0
3 years ago
Read 2 more answers
find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

4 0
11 months ago
Solve for t and show your work in details please
disa [49]

Answer:

0t=8

Step-by-step explanation:

3t+4=12+3t

3t-3t=12-4

0t=8

5 0
3 years ago
At memorial hospital 9 of 12 babies born on Tuesday were boy. In simplest form what fraction of the babies born on Tuesday we’re
n200080 [17]
3/4 is the answer to your question
8 0
3 years ago
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Find the missing angle measure, arc measure or solve for x. Show all<br> work!
n200080 [17]

Answer:

mYW = 151°

Step-by-step explanation:

∠XWY is an inscribed angle because it has a vertex on the circle. This means that m∠XWY is half of the arc it intercepts, which is XY. We can model the situation using an equation:

m∠XWY = mXY / 2

37° = mXY / 2

mXY = 74°

All arcs in a circle add up to 360°. Because of this, we can say:

mXY + mYW + mWX = 360°

74° + mYW + 135° = 360°

209° + mYW = 360°

mYW = 151°

5 0
2 years ago
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