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3 years ago

Please help meeeeeeeeeeeeëeeeeeeeeeeeeeeeeèeeeeeeeeeeeeêeeeeeeeeeeeeęeeeeeeeeeeeeeeeeeeeeeeeeeeeéeeeeeeeeeeeeêeeeeeee

Mathematics

2 answers:

Anna007 [38]3 years ago

8 0

Hello!

to find b, let's subtract the squares of the hypotenuse and leg a to find b. We will then find the square root of our answer.

169-144=25

√25=5

Therefore, b=5

I hope this helps!

Lady_Fox [76]3 years ago

5 0

The pythogrean theorem is a^2+b^2=c^2

"a" and "b" are the legs, and "c" is the hypotenuse.

so 12^2+b^2=13^2

144+b^2=169, subract 144 from both sides.

b^2 = 25, take the square root from both sides.

Hence b=5

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(Uniform) Suppose X follows a continuous uniform distribution from 4 to 11. (a) Write down the PDF of X. (b) Find P(X ≤ 7). Roun

love history [14]

Answer:

a) $f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11$

b) $P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286$

c) $P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857$

d) $P(X >5 | X \leq 7)$

And we can find this probability with this formula from the Bayes theorem:

$P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5$

Step-by-step explanation:

For this case we assume that the random variable X follows this distribution:

$X \sim Unif (a=4, b =11)$

Part a

The probability density function is given by the following expression:

$f(x) = \frac{1}{b-a} , a \leq x \leq b$

$f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11$

Part b

We want this probability:

$P(X \leq 7)$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}= \frac{x-4}{11-4}$

And replacing we got:

$P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286$

Part c

We want this probability:

$P(5 < X \leq 7)$

And we can use the CDF again and we have:

$P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857$

Part d

We want this conditional probabilty:

$P(X >5 | X \leq 7)$

And we can find this probability with this formula from the Bayes theorem:

$P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5$

7 0

3 years ago

How do I solve for the missing lengths?

Advocard [28]

Answer:

Part 4) $ER=3\ units$

Part 5) $DF=9\sqrt{10}\ units$

Part 6) $DE=30\ units$

Step-by-step explanation:

Part 4) Find ER

we know that

In the right triangle ERF

Applying the Pythagorean Theorem

$EF^2=ER^2+RF^2$

substitute the given values

$(3\sqrt{10})^2=ER^2+9^2$

solve for ER

$ER^2=(3\sqrt{10})^2-9^2$

$ER^2=90-81\\ER^2=9\\ER=3\ units$

Part 5) Find DF

we know that

In the right triangle DRF

Applying the Pythagorean Theorem

$DF^2=DR^2+RF^2$

substitute the given values

$DF^2=27^2+9^2$

$DF^2=810\\DF=\sqrt{810}\ units$

simplify

$DF=9\sqrt{10}\ units$

Part 6) Find DE

we know that

$DE=DR+RE$ ----> by segment addition postulate

we have

$DR=27\ units\\RE=ER=3\ units$

substitute

$DE=27+3=30\ units$

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2 years ago

What is the sum of 2xy and 17xy?

Andreas93 [3]

2(xy)+17(xy)= 19xy

Answer: 19xy

3 0

3 years ago

A line passes through the points (1,1/2) and (3,2) which is the equation of the line

otez555 [7]

Answer:

The equation of the line is y = 3/4x - 1/4

Step-by-step explanation:

To find the equation of this line, start by using the two points with the slope formula to find the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - 1/2)/(3 - 1)

m = (3/2)/2

m = 3/4

Now that we have the slope, we can use that and either point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 2 = 3/4(x - 3)

y - 2 = 3/4x - 9/4

y = 3/4x - 1/4

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3 years ago

Factor 42x+28y using the gcf

antoniya [11.8K]

I think it would be 14(3x + 2y)

Hope this helps!

8 0

3 years ago

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