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gtnhenbr [62]
3 years ago
8

Which is the value of x? X=16 X=29 X=44 X=46

Mathematics
2 answers:
Dahasolnce [82]3 years ago
5 0

Answer:

x = 16

I hope this helps!

Elis [28]3 years ago
5 0

Answer:

x=16

Step-by-step explanation:

The angles of the inside of a triangle always add up to 180

2*16= 32

3*16=48

16+84=100

32+48+100=180

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Confidence Interval Mistakes and Misunderstandings—Suppose that 500 randomly selected recent graduates of a university were as
kvv77 [185]

Answer:

The correct 95% confidence interval is (8.4, 8.8).

Step-by-step explanation:

The information provided is:

n=500\\\bar x=8.6\\\sigma=2.2

(a)

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The 95% confidence interval for the average satisfaction score is computed as:

8.6 ± 1.96 (2.2)

This confidence interval is incorrect.

Because the critical value is multiplied directly by the standard deviation.

The correct interval is:

8.6\pm 1.96 (\frac{2.2}{\sqrt{500}})=8.6\pm 0.20=(8.4,\ 8.6)

(b)

The (1 - <em>α</em>)% confidence interval for the parameter implies that there is (1 - <em>α</em>)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the mean rating, (8.4, 8.8) implies that the true there is a 95% confidence that the true parameter value is contained in this interval.

The mistake is that the student concluded that the sample mean is contained in between the interval. This is incorrect because the population is predicted to be contained in the interval.

(c)

The (1 - <em>α</em>)% confidence interval for population parameter implies that there is a (1 - <em>α</em>) probability that the true value of the parameter is included in the interval.

The 95% confidence interval for the mean rating, (8.4, 8.8) implies that the true mean satisfaction score is contained between 8.4 and 8.8 with probability 0.95 or 95%.

Thus, the students is not making any misinterpretation.

(d)

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we take appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

In this case the sample size is,

<em>n </em>= 500 > 30

Thus, a Normal distribution can be applied to approximate the distribution of the alumni ratings.

7 0
3 years ago
Can a pair of angles be both vertical angles and corresponding angles at the same time?
Maru [420]
Yes a pair of angles can be both vertical and corresponding at the same time.
7 0
3 years ago
Try This one out and I’ll give you brainliest no links or I will report you Thank you
sladkih [1.3K]

Answer:

32. steps below.

Step-by-step explanation:

So calculate 4(2x2^3-8)

=

4(2^4-8)

calculate

4(16-8)

Then get

4x8=32.

3 0
2 years ago
Read 2 more answers
Christina wants to compute the cost of tiling the floor in her bathroom. The floor measures 7 feet 6 inches by 8 feet 10 inches.
ArbitrLikvidat [17]

Answer:

Two boxes will cost \$35.95\cdot 2=\$71.9. The cost of one tile is approximately \dfrac{\$71.9}{67}\approx \$1.08.

Step-by-step explanation:

Note that 1 ft = 12 in, then

7\ ft\ 6\ in=7\cdot 12+6\ in =90\ in,\\ \\8\ ft\ 10\ in=8\cdot 12+10\ in=106\ in.

The area of the floor is

90\cdot 106=9540\ in^2.

Now

1\ ft^2=144\ in^2,

then

144 sq. in - 1 tile,

9540 sq. in - x tiles.

Mathematically,

\dfrac{144}{9540}=\dfrac{1}{x},\\ \\x=\dfrac{9540}{144}=66.25

tiles is needed to cover the floor (67 full tiles).

Each box of tiles contains 45 tiles, so Cristina has to buy 2 boxes. These two boxes will cost \$35.95\cdot 2=\$71.9. The cost of one tile is approximately \dfrac{\$71.9}{67}\approx \$1.08.

7 0
3 years ago
What is the equation for the line in slope-intercept form
galben [10]

Answer:

y=-2x-4

Step-by-step explanation:

5 0
2 years ago
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