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Zielflug [23.3K]
3 years ago
5

Find the value of z such that 0.120.12 of the area lies to the right of z. round your answer to two decimal places.

Mathematics
1 answer:
Stells [14]3 years ago
7 0
The value of x such that 0.12 of the area lies to the right of z will be given by:
1-P(x≤x)=0.12
P(x≤X)=1-0.12=0.88
The z-value corresponding to this value will be:
z=1.18
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What is the measure of z?
Ymorist [56]

Solving a system of linear equations, we conclude that the measure of side Z is 2√13

<h3>How to find the measure of side Z?</h3>

Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.

In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.

x^2 = y^2 + 4^2

z^2 = y^2 + 9^2

(4 + 9)^2 = z^2 + x^2

We want to solve that for z.

Now, the second equation can be rewritten to:

y^2 = z^2 - 9^2

Now let's replace the first equation into the third one, so we get:

(4 + 9)^2 = z^2 + (y^2 + 4^2)

Now we can replace y^2 by z^2 - 9^2

(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)

Now we can solve this:

(13)^2 = z^2 + z^2 - 9^2 + 4^2

(13)^2 + 9^2 - 4^2 = 2*z^2

104/2 = z^2

52 = z^2

√52 = z

√(4*13) = z

√4*√13 = z

2√13 = z

We conclude that the measure of side Z is 2√13

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

8 0
1 year ago
Which of the following graphs shows the<br> solution set to 2x &lt; 6 and 3x + 2 &gt;<br> -4?
Ilya [14]

Answer:

The third picture

Step-by-step explanation:

Solve for x in both equations

2x<6

Divide both sides by 2:

x<3

3x+2>-4

Subtract 2 from both sides:

3x>-6

Divide both sides by 3:

x>-2

There is this trick you can use when x is on the left side of the equation to find out which way to shade in you graph. Keep in mind this is only for the left side, it will not work if your variable is on the right.

When the symbol is facing left < then shade left, imagine it is pointing which way to shade. x<3 is represented by the 3 picture on the left. When the symbol is facing right > then shade right, again it is pointing which way to shade. x>-2 is represented by the 3 picture on the right.

The circles are not filled in because the symbol is < and > rather than \leq  and \geq. When it is greater than or equal to or less than and equal to (represented by the line under the symbol), then the circle is shaded in.

5 0
2 years ago
Leah's age is twice her cow old are Leah and her cousin?usin's age. If they add their ages together they get 36. How old are Lea
nignag [31]
Okay so lets call Leah "L" and her cousin "C". We know that L+C=36 ... we also know that Leah is twice her cousins age. Therefore, L=2 times C, or L=2C. This is because Leah's age is equivalent to twice as much as her cousin's. 
Now that you know that L=2C, you can plug this back into the equation. This should make it so that's there's only one variable now! 
L+C=36
(2C)+C=36   ... here we subbed in L=2C
3C=36     ... we add up the C's
C=12   ... we isolate for C by dividing both sides by 3

So her cousin's age is 12 years old. Leah's age is twice that. Thus, she's 24. If you add the two up: 12+24, you indeed get 36. Hope that helps :))
4 0
3 years ago
Ethan and his friends went to a movie on Thursday afternoon. They left at 1:00 P.M. It took 1 hour and 5 minutes to drive to the
Anastasy [175]

Answer:

4:15 p.m.

Step-by-step explanation:

There's something missing in this:

Once it started, the movie lasted for 1 hour and minutes. What time was it when the movie ended?

What is the minutes because thats missing.

Also can I get Brainliest please

6 0
3 years ago
Read 2 more answers
Someone please help??
irga5000 [103]

Answer:

Im not 100% sure but i can tell you it is (D)

Step-by-step explanation:

8 0
3 years ago
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