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3 years ago

Can someone help me please? Can you also explain? 20 points!

Mathematics

1 answer:

Yakvenalex [24]3 years ago

3 0

Surface area will consist of:
2 triangles, 3 rectangles:

Solving for triangles:
A=1/2bh
A=1/2(120)
A=60
60*2 gives us the surface area of both triangular sides.

Solve for rectangles:
(17*20)+(8*20)+(15*20)
(340)+(160)+(300)
(800)

800+120=920
The surface area of the prism is 920 square feet

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The number of knots in a particular type of wood has a Poisson distribution with an average of 1.6 knots in 10 cubic feet of the

HACTEHA [7]

Answer:

0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

1.6 knots in 10 cubic feet of the wood.

This means that $\mu = 1.6$

Find the probability that a 10-cubic-foot block of the wood has at most 5 knots.

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-1.6}*(1.6)^{0}}{(0)!} = 0.202$

$P(X = 1) = \frac{e^{-1.6}*(1.6)^{1}}{(1)!} = 0.323$

$P(X = 2) = \frac{e^{-1.6}*(1.6)^{2}}{(2)!} = 0.258$

$P(X = 3) = \frac{e^{-1.6}*(1.6)^{3}}{(3)!} = 0.138$

$P(X = 4) = \frac{e^{-1.6}*(1.6)^{4}}{(4)!} = 0.055$

$P(X = 5) = \frac{e^{-1.6}*(1.6)^{5}}{(5)!} = 0.018$

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.202 + 0.323 + 0.258 + 0.138 + 0.055 + 0.018 = 0.994$

0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.

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Answer:

Step-by-step explanation:

Let length be x

So breadth will be 1/4x

2(x+1/4x)=60

x+1/4x=60/2=30

find lcm and the lcm would be 4 and make denominators equal and add it

4/4x+1/4x=30

5/4x=30

x=30*4/50=6*4=24

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Step-by-step explanation:

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Answer:

The equations in the slope-intercept form

y = - 2 x + 5

y = - 2 x + 3

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the line.

b is the y-intercept.

To put any equation in the slope-intercept form state y on the left side, x and the numerical term on the right side, the coefficient of y must be 1.

Let us do that with the given equations

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