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3 years ago

Can someone please help me? :) Math, 8th grade, K12

Mathematics

1 answer:

Aneli [31]3 years ago

5 0

Answer:

The first graph does NOT represent a function because it fails the vertical line test.

Step-by-step explanation:

If you draw a vertical line through this graph, for x > 0, the line will intersect the graph in more than one place. That tells you immediately that this graph does snot represent a function.

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What is the value of x to the nearest tenth?

baherus [9]

Answer:
x
≈
16

Explanation:
Remember Sine of an angle is
opposite side
hypotenuse

So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x

sin
(
47
°
)
=
12
x

To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)

x
≈
16

3 0

2 years ago

Darnel buys a computer priced at $331. If the sales tax is 5%,how much tax will Darnel pay?

34kurt

Answer:

347.55

Step-by-step explanation:

331 x 0.05 =16.55

16.55 + 331 = 347.55

5 0

2 years ago

Read 2 more answers

To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data

nexus9112 [7]

Answer:

a) $\sigma = 0.167$

b) We need a sample of at least 282 young men.

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

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

This Zscore is how many standard deviations the value of the measure X 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.

(a) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of $\mu$ . So $X - \mu = 0.5$ must have $Z = 3$ and $X - \mu = -0.5$ must have $Z = -3$ .

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

$3 = \frac{0.5}{\sigma}$

$3\sigma = 0.5$

$\sigma = \frac{0.5}{3}$

$\sigma = 0.167$

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that $\sigma = 2.8$