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2 years ago

.pls help with this question

Mathematics

2 answers:

Nonamiya [84]2 years ago

6 0

Answer:

You will find it.

Explanation:

Replace the X value in each answer's formula with the table's value, then find the answer.

Ex: A. y = 4x + 4

if x = -1

=> y = 4.(-1) + 4 = 0 (not match y value in the table) => the answer is not A

podryga [215]2 years ago

4 0

Answer is D: y= -4x + 4
Reason
We know the formula is y=mx +b

Let’s find b. the chart shows you 0x 4y so your y intercept is 4.

Let’s find m which is slope
Slope is y2 - y1 over x2 - x1
Let’s use the first two pairs in the chart
8-4=4
-1 -0 =-1
So slope is - 4/1 simplified to -4

We can chose another pair to check
Using the bottom two pairs
0 - (-8) = 8
1 - 3 = -2
So slope is 8/-2 simplified to -4

So y= -4x +4

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Step-by-step explanation:

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3 years ago

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allsm [11]

Answer:

$z=1.28$

And if we solve for a we got

$a=3.6 +1.28*0.8=4.624$

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

C. 4.64

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 weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(3.6,0.8)$

Where $\mu=3.6$ and $\sigma=0.8$

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

$P(X>a)=0.1$ (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 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

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

$P(X$