All categories

2 years ago

HELP MEEEEE (find the values of z and y)

Mathematics

2 answers:

zimovet [89]2 years ago

6 0

Do you have an answer choice?

victus00 [196]2 years ago

4 0

Plug 70 in for y and then do 180-70 to get z

You might be interested in

Which type of triangle has 2 angles that measures 45?

dlinn [17]

Answer: it's obtuse. Yep

Step-by-step explanation:

6 0

3 years ago

Suppose that the length of a side of a cube X is uniformly distributed in the interval 9

Nastasia [14]

Answer:

$f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.$

Step-by-step explanation:

Given

$9 < x < 10$ --- interval

Required

The probability density of the volume of the cube

The volume of a cube is:

$v = x^3$

For a uniform distribution, we have:

$x \to U(a,b)$

and

$f(x) = \left \{ {{\frac{1}{b-a}\ a \le x \le b} \atop {0\ elsewhere}} \right.$

$9 < x < 10$ implies that:

$(a,b) = (9,10)$

So, we have:

$f(x) = \left \{ {{\frac{1}{10-9}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

Solve

$f(x) = \left \{ {{\frac{1}{1}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

$f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

Recall that:

$v = x^3$

Make x the subject

$x = v^\frac{1}{3}$

So, the cumulative density is:

$F(x) = P(x < v^\frac{1}{3})$

$f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$ becomes

$f(x) = \left \{ {{1\ 9 \le x \le v^\frac{1}{3} - 9} \atop {0\ elsewhere}} \right.$

The CDF is:

$F(x) = \int\limits^{v^\frac{1}{3}}_9 1\ dx$

Integrate

$F(x) = [v]\limits^{v^\frac{1}{3}}_9$

Expand

$F(x) = v^\frac{1}{3} - 9$

The density function of the volume F(v) is:

$F(v) = F'(x)$

Differentiate F(x) to give:

$F(x) = v^\frac{1}{3} - 9$

$F'(x) = \frac{1}{3}v^{\frac{1}{3}-1}$

$F'(x) = \frac{1}{3}v^{-\frac{2}{3}}$

$F(v) = \frac{1}{3}v^{-\frac{2}{3}}$

So:

$f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.$

8 0

2 years ago

Shawn has $5 more than Rj and Riley has $10 less than Shawn. If there combined total is $414, how much does

ExtremeBDS [4]

Answer:

Rj has $138$ dollars, Shawn has $143$ dollars, and Riley has $133$ dollars.

Step-by-step explanation:

Let's make the amount of money Rj has $x$ , so Shawn would have $5+x$ dollars, and Riley would have $(5+x)-10$ dollars. Altogether they have $414$ dollars, so you can create an equation.

$x+(5+x)+((5+x)-10)=414\\3x+0=414\\3x=414\\x=138$

Now that we know that $x=138$ , we can substitute x into each equation.

Rj has $138$ dollars, Shawn has $143$ dollars, and Riley has $133$ dollars.

5 0

2 years ago

Read 2 more answers

Need to know number 2.

melomori [17]

Answer:

when the radicand is negative

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Yogi is 6 years older than Michelle. The sum of their ages is 26. Write a system of linear equations to represent this informati

postnew [5]

Answer:

10 and 16, x+(x+6)=26

Step-by-step explanation:

Michelle has an age we don't know, so we put her age as x.

Yogi is 6 years older than her, so her age is x+6

Michelle=x

Yogi=x+6

we know both their ages equal 26. so we set it up as

x+(x+6)=26

combining like terms we get

2x+6=26

subtract 6 from both sides

2x=20

divide both sides by 2

x=10

now that we have the value for x, we plug it into their original ages

Michelle is 10, because her age is just x.

Yogi is 16, because her age is x+6

8 0

3 years ago