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3 years ago

How to find the property of a trapezoid

Mathematics

1 answer:

Igoryamba3 years ago

3 0

Answer:

Your question isn't very specific.

The area of a trapezoid = ((sum of the bases) ÷ 2) • height

Trapezoid Diagonals: formulas are attached.

Step-by-step explanation:

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Kobotan [32]

Answer:

PK is an angle bisector and angle MKQ + angle PKQ= angle PKM

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3 years ago

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The cost of joining a gym includes an initial fee of $35 and then $3 per visit. Which linear equation represents the cost of vis

Vinvika [58]

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Todd Holland from NY grows pumpkins. He studied his past records carefully and concluded that his biggest pumpkins are distribut

ehidna [41]

Answer:

$P(X>1000)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>1000)=P(\frac{X-\mu}{\sigma}>\frac{1000-\mu}{\sigma})=P(Z>\frac{1000-950}{50})=P(z>1)$

And we can find this probability using the complement rule and the normal standard table and we got:

$P(z>1)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(950,50)$

Where $\mu=950$ and $\sigma=50$

We are interested on this probability

$P(X>1000)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>1000)=P(\frac{X-\mu}{\sigma}>\frac{1000-\mu}{\sigma})=P(Z>\frac{1000-950}{50})=P(z>1)$

And we can find this probability using the complement rule and the normal standard table and we got:

$P(z>1)=1-P(z$

5 0

3 years ago

The length of a rectangle is 6m longer than its width. If the perimeter of the rectangle is 52m, find its area

sveticcg [70]

If length is x, then width is 6+x
Perimeter = 2*(x + 6+x) = 52 
2*6 + 2*2x = 52 
4x = 52 - 12 = 40 
x = 40/4 = 10 

Area = length*width = 10*(6+10) 
Area = 10*16 = 160 meter square

4 0

3 years ago

How would i approximate each irrational square root number to the nearest 0.05? 34, 82, 45, 104, -71, and -19

Digiron [165]

Using a calculator or a pencil, find each square root, including
three (3) decimal places. A negative number has no real square
roots, so skip '-71' and '-19'.

For each square root . . .

-- If the digits in the 2nd and 3rd decimal place are 00 through 24, then
make the 2nd decimal place a '0' and discard the rest.

-- If the digits in the 2nd and 3rd decimal place are 25 through 74, then
make the 2nd decimal place a '5' and discard the rest.

-- If the digits in the 2nd and 3rd decimal place are 75 through 99, then
increase the 1st decimal place by 1, make the 2nd decimal place a '0',
and discard the rest.

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4 years ago