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2 years ago

Someone please show me how to find B, thanks.

Mathematics

2 answers:

liq [111]2 years ago

8 0

Hello,

Answer B.

Using Thales, 6/9=B/8==>B=48/9=5+1/3.

spin [16.1K]2 years ago

3 0

Check the picture below.

recall, if two triangles have a pair of equal angles, Angle Angle, they're similar.

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Triangle has side lengths of (9k – 4m) centimeters, (8k + 3n)

Olegator [25]

Combine the k’s 17k
Combine the m’s -8m
Combine the n’s 12n
17k-8m+12n

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2 years ago

A machine fills containers with a particular product. Assume the filling weights are normally distributed with a variance of 0.1

Ghella [55]

Answer:

$z=-0.674$

And if we solve for $\mu$ we got

$\mu=12 +0.674*0.4=12.270$

So then the mean is $'mu = 12.270$ for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

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

$X \sim N(\mu,\sqrt{0.16}= 0.4)$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>12)=0.85$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.85 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.85

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.674$

And if we solve for $\mu$ we got

$\mu=12 +0.674*0.4=12.270$

So then the mean is $'mu = 12.270$ for this case.

8 0

3 years ago

2. Find the cosine function that is represented in the graph.

Diano4ka-milaya [45]

Answer:

$f(x) = cos(x - \frac{\pi }{4} ) -1$

Step-by-step explanation:

In this graph, we have the coordinate point ( $\frac{\pi }{4} , 0$ ). Without translations, cos(0) = 0, which means that the graph is shifted to the right by $\frac{\pi }{4}$ . We also know that the graph is shifted down by 1 because we have the point

( $\frac{5\pi }{4} , -2$ ), but accounting for the right shift, this point should really by ( $\pi , -2$ ). cos( $\pi$ ) = -1, but on the graph it is -2, meaning that it is shifted down by 1.