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3 years ago

Which statement correctly describes the end behavior of y = 3x8 + 5x2 +2x - 1

1 answer:

5 0

The end behavior of functions with exponents is quite simple when you realized that as x approaches infinity that the function will act as if the highest exponent term is the only one which exists...

In this case 3x^8 is the highest order term, so y approaches +oo as x approaches +oo or -oo. Or in other words y increases without bound as x approaches ±oo

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A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5

lara [203]

Answer:

7.3% of the bearings produced will not be acceptable

Step-by-step explanation:

Problems of normally distributed samples 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.

In this problem, we have that:

$\mu = 0.499, \sigma = 0.002$

Target value of .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value.

So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.

Larger than 0.504

1 subtracted by the pvalue of Z when X = 0.504.

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

$Z = \frac{0.504 - 0.494}{0.002}$

$Z = 2.5$

$Z = 2.5$ has a pvalue of 0.9938

1 - 0.9938= 0.0062

Smaller than 0.496

pvalue of Z when X = -1.5

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

$Z = \frac{0.496 - 0.494}{0.002}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

0.0668 + 0.0062 = 0.073

7.3% of the bearings produced will not be acceptable

4 0

3 years ago

Please help!!!!

Yakvenalex [24]

Answer:

D. X-7

Step-by-step explanation:

The table tells you that when x=7, g(x) = 0. In order for g(7) to be zero, at least one factor must be zero when x=7. The only factor on the list that is zero when x=7 is (x-7).

6 0

3 years ago

Anyone knows how to do this ?

exis [7]

700x0.08= 56 Hope this helps

8 0

3 years ago

Find X. Round to the nearest tenth if necessary.

storchak [24]

Answer:

3.2

Step-by-step explanation:

If there are 2 secont lines intersecting inside a circle like the picture shown, then the theorem tells us that <em>"the product of 2 segments of one secant line is equal to the product of 2 segments of other secant line"</em>

Thus, we can say that:

x * 10 = 8 * 4

10x = 32

x = 32/10

x = 3.2

3 0

3 years ago

The stained glass window shown is a half circle. What is the perimeter of the window? use 3.14 for π. Show your work.

Liono4ka [1.6K]

Answer:

81.64

Step-by-step explanation:

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4 0

2 years ago

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