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3 years ago

Find x if a =13 and C = 47 need help

1 answer:

7 0

So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be simplified to 45 or two decimal points 45.167. Hope that Helped! :)

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A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo

defon

Answer:

a) The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

b) $P(X$

And we can use the cumulative distribution function given by:

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

And using this function we got:

$P(X$

c) $P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

Step-by-step explanation:

For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:

$X \sim Unif (a= 10, b =12)$

Part a

The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

Part b

For this case we want this probability:

$P(X$

And we can use the cumulative distribution function given by:

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

And using this function we got:

$P(X$

Part c

For this case we want this probability:

$P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

3 0

4 years ago

Pls help will mark brainliest

alex41 [277]

Answer:

Step-by-step explanation:

brainliest if i follow you tho?

8 0

3 years ago

Log(5)(x+4)+log(5)(x+2)=log(5)(7x+10)

inessss [21]

<span>Combine the logarithms first: log5(4x+3)-log5(x-1). Since it's subtract, divide the two.

log5((4x+3)/(x-1))=2

Make both sides the exponent of five. 5^log5 cancels out.

5^(log5(4x+3/x-1))=5^2

4x+3/x-1=25

Multiply both sides by (x-1) to get rid of it under 4x+3.

(x-1)4x+3/x-1=25(x-1)

4x+3=25x-25

Now subtract 4x from both sides AND add 25 to both sides. This way you'll have all the x's by itself.

28=21x

Divide both sides by 21.

28/21=x

x=1.33333333333...

</span>

7 0

4 years ago

lavalle has 7 math books to line up on a shelf. jenny has 5 english books to line up on a shelf. in how many more orders can lav

aleksandrvk [35]

In 4920 more orders. More details in attachment.

3 0

3 years ago

-9+5y= -4x<br> -11x= -20+9y

Jlenok [28]

Answer:

-9+5y=-4x

-20+9y=-11x

-4x

+ -11x

_____

-15x

Step-by-step explanation:

i dont really know what i did i kinda just guessed because im not that smart

6 0

3 years ago