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3 years ago

What are the parallel sides of a trapezoid

Mathematics

1 answer:

saul85 [17]3 years ago

3 0

Answer:

Parallel means that the lines will never cross. If we look at a traditional trapezoid, the top side and the bottom side are straight lines that will never cross one another. The left and right sides are slanted towards one another, to they are not parallel.

Hope this helped. : )

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Simplify the expression -4^2(3x - 7)

maxonik [38]

Answer:

−48x+112

Step-by-step explanation:

evatulate: −16 (3−7)

-48+112

3 0

3 years ago

What is the quotation of 7^-1/7^2

Temka [501]

Answer:

7^-3

Step-by-step explanation:

<u>Solving in steps</u>

7^-1/7^2 =
7^-1 × 7^-2 =
7^(-1 - 2) =
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3 0

3 years ago

The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) for Determine

salantis [7]

The question is incomplete. Here is the complete question.

The probability density function of the time to failure of an electronic component in a copier (in hours) is

$f(x)=\frac{e^{\frac{-x}{1000} }}{1000}$

for x > 0. Determine the probability that

a. A component lasts more than 3000 hours before failure.

b. A componenet fails in the interval from 1000 to 2000 hours.

c. A component fails before 1000 hours.

d. Determine the number of hours at which 10% of all components have failed.

Answer: a. P(x>3000) = 0.5

b. P(1000<x<2000) = 0.2325

c. P(x<1000) = 0.6321

d. 105.4 hours

Step-by-step explanation: <em>Probability Density Function</em> is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.

So, probability function is given by:

P(a<x<b) = $\int\limits^b_a {P(x)} \, dx$

Then, for the electronic component, probability will be:

P(a<x<b) = $\int\limits^b_a {\frac{e^{\frac{-x}{1000} }}{1000} } \, dx$

P(a<x<b) = $\frac{1000}{1000}.e^{\frac{-x}{1000} }$

P(a<x<b) = $e^{\frac{-b}{1000} }-e^\frac{-a}{1000}$

a. For a component to last more than 3000 hours:

P(3000<x<∞) = $e^{\frac{-3000}{1000} }-e^\frac{-a}{1000}$

Exponential equation to the infinity tends to zero, so:

P(3000<x<∞) = $e^{-3}$

P(3000<x<∞) = 0.05

There is a probability of 5% of a component to last more than 3000 hours.

b. Probability between 1000 and 2000 hours:

P(1000<x<2000) = $e^{\frac{-2000}{1000} }-e^\frac{-1000}{1000}$

P(1000<x<2000) = $e^{-2}-e^{-1}$

P(1000<x<2000) = 0.2325

There is a probability of 23.25% of failure in that interval.

c. Probability of failing between 0 and 1000 hours:

P(0<x<1000) = $e^{\frac{-1000}{1000} }-e^\frac{-0}{1000}$

P(0<x<1000) = $e^{-1}-1$

P(0<x<1000) = 0.6321

There is a probability of 63.21% of failing before 1000 hours.

d. P(x) = $e^{\frac{-b}{1000} }-e^\frac{-a}{1000}$

0.1 = $1-e^\frac{-x}{1000}$

$-e^{\frac{-x}{1000} }=-0.9$

${\frac{-x}{1000} }=ln0.9$

-x = -1000.ln(0.9)

x = 105.4

10% of the components will have failed at 105.4 hours.

5 0

4 years ago

What is an equation of the line that passes through the points (3,4) and (5,8)

algol [13]

Answer:

i think 5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Monica has a 24-inch square frame. There are 4 equal sides. She paints 3/4 of one side of the frame blue. What fraction of the f

Serhud [2]

Answer:

Monica painted $\frac{3}{16}$ of the frame blue.

Step-by-step explanation:

Monica has a 24-inch square frame.There are 4 equal sides. She paints 3/4 of one side of the frame blue.

The perimeter of square is given as = 4s where s is the side length.

Here, perimeter is 24 inches.

So, side will be:

$4s=24$

Dividing both sides by 4;

s = 6

So, we get the side of the frame as 6 inches.

Now Monica painted 3/4 of 6 inches.

This value becomes : $\frac{3}{4}\times6 =4.5$ and in fraction it is $\frac{9}{2}$

This is part of 24 inches.

So, the fraction will be : $\frac{\frac{9}{2} }{24}$

= $\frac{9}{2} \times\frac{1}{24}$ = 3/16

Hence, Monica painted $\frac{3}{16}$ of the frame blue.

6 0

3 years ago

Read 2 more answers

What are the parallel sides of a trapezoid​

What are the parallel sides of a trapezoid