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3 years ago

The table shows the outputs, y, for different inputs, x:

1 answer:

3 0

<span>The table shows the outputs, y, for different inputs, x:

Input (x) 1 3 5 7
Output (y) 8 6 5 4

Part A: Do the data in this table represent a function? Justify your answer. (3 points)

Yes, the data in the table represent a function. The reason is that given an input (value of x), in the domain of the function (which is 1, 3, 5, 7), you can state the correspondant output (value of y) without ambiguity.

Part B: Compare the data in the table with the relation f(x) = 4x + 8. Which relation has a greater value when x = 3? (2 points)

x = 3 => f(3) = 4(3) + 8 = 12 + 8 = 20

While the image of 3 in the data is y = 6.

So, the function f(x) = 4x + 8 has a greater value when x = 3.

Part C: Using the relation in Part B, what is the value of x if f(x) = 76? Be sure to show all your work.

f(x) = 76 = 4x + 8 => 4x = 76 - 8 = 68

=> x = 68/4 = 17
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In the United States, the mean birth weight for boys is 3.41 kg with a standard deviation of 0.55 kg. Assume that the distributi

lyudmila [28]

Answer:

The proportion of baby boys in the United States that are born with low birth weight is 0.0495.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

3.41 kg with a standard deviation of 0.55 kg.

This means that $\mu = 3.41, \sigma = 0.55$

What proportion of baby boys in the United States are born with low birth weight?

This is the pvalue of Z when X = 2.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.5 - 3.41}{0.55}$

$Z = -1.65$

$Z = -1.65$ has a pvalue of 0.0495

The proportion of baby boys in the United States that are born with low birth weight is 0.0495.

7 0

3 years ago

Which is the angle of depression from the boat to the submarine?

kakasveta [241]

We know that

<span>If the slope of the angle from the vertex is positive, then it is an angle of elevation.</span>

<span>If the slope of the angle from the vertex is negative, then it is an angle of depression.</span>

The angle of elevation is congruent to the angle of depression because they are alternate interior angles

in the picture

∠ 1 is the angle of elevation from submarine to the boat

∠2 is the angle of depression from boat to submarine

∠3 is the angle of elevation from boat to the lighthouse

∠4.is the angle of depression from the lighthouse to the boat

therefore

the answer is

∠2 is the angle of depression from boat to submarine

3 0

3 years ago

HELP PLEASE ASAP!!!!

forsale [732]

The measure of angle m∠PZQ is 63degrees.

<h3>How to find an angle?</h3>

A point where two or more line segments meet is called a vertex.

The vertex point also forms an angle.

Therefore,

point P is in the interior of ∠OZQ,

Hence,

<OZQ = <OZP + m∠PZQ

The following angles are given:

m∠OZQ = 125°

m∠OZP = 62°

Substitute the given values into the expression above:

125 = 62 + m∠PZQ

m∠PZQ = 125 - 62

m∠PZQ = 63°

Therefore, the measure of the angle m∠PZQ is 63degrees

learn more on angles here: brainly.com/question/11000242

#SPJ1

3 0

2 years ago

A researcher was interested in knowing whether the mean weight of the second baby is higher, lower, or about the same as the mea

Alex73 [517]

You want someone to do all that work for you??

3 0

3 years ago

Help ASAP! 20 Points!

morpeh [17]

The answer is 60 decrees

4 0

3 years ago

Read 2 more answers