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3 years ago

I need to solve for x

Mathematics

2 answers:

yan [13]3 years ago

8 0

Answer:

88°

Step-by-step explanation:

a line is equal to 180

180-92=88

KiRa [710]3 years ago

4 0

88 would be your answer ..

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The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. (

Vinvika [58]

Answer:

a) $P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

b) $z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

Step-by-step explanation:

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

$X \sim N(106,0.3)$

Where $\mu=106$ and $\sigma=0.3$

Part a

We are interested on this probability

$P(X>106.11)$

And we can use the z score formula given by:

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

And using this formula we got:

$P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

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

And if we find the z score we got:

$z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

6 0

2 years ago

The perimeter of XYZ is ___ units.

In-s [12.5K]

Look at the picture.

$ZY = 5+3=8$

For XY and ZX use the Pythagorean theorem.

$XY^2=3^2+4^2\\\\XY^2=9+16\\\\XY^2=25\to XY=\sqrt{25}\\\\XY=5$

$ZX^2=5^2+4^2\\\\ZX^2=25+16\\\\ZX^2=41\to ZX=\sqrt{41}$

The perimetero fo XYZ:

$P_{\triangle XYZ}=8+5+\sqrt{41}=\boxed{13+\sqrt{41}}$

7 0

3 years ago

What are the values of the function y=-2 x-4 for x=0,1,2,3

iragen [17]

Answer:

read description

Step-by-step explanation:

y=-2(0)-4 ANSWER: y=-4

y=-2(1)-4 ANSWER: y=-6

y=-2(2)-4 ANSWER: y=-8

y=-2(3)-4 ANSWER: y=-10

7 0

3 years ago

Solve each given equation and show your work. Tell whether each question has one solution, an infinite number of solutions, or n

laiz [17]

2x + 4(x - 1) = 2 + 4x
2x + 4x - 4 = 2 + 4x
6x - 4 = 2 + 4x
6x - 4x = 2 + 4
2x = 6
x = 3........there is 1 solution

25 - x = 15 - (3x + 10)
25 - x = 15 - 3x - 10
25 - x = -3x + 5
3x - x = 5 - 25
2x = - 20
x = -20/2
x = -10.....there is 1 solution

4x = 2x + 2x + 5(x - x)
4x = 4x + 5x - 5x
4x = 4x......this has infinite solutions

learn this...
if ur equation ends in a variable equaling a number, then there is one solution.
if ur equation ends in something not equal, like 2 = 4, or 4 = 6, then there is 0 solutions.
if ur equation ends in something equal to something,(the same) like 2 = 2, or 4x = 4x, then there is infinite solutions

3 0

3 years ago

To find 10, Beau found 32 = 9 and 42 = 16. He said that since 10 is between 9 and 16, 10 is between 3

AlexFokin [52]

Given that:

Consider it is $\sqrt{10}$ instead of 10 on two places.