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stepladder [879]
3 years ago
7

What seems to always be true about the height of the triangle?

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Answer:

The height of the triangle is always the  measurement of a line (often shown as dashes) that is perpendicular to the base and extends to the opposite angle at the top of the triangle.

If it is a right triangle, and the right angle is at the bottom, the side extending up from the right angle will be the height. But this is not always the case.

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The American Management Association is studying the income of store managers in the retail industry. A random sample of 49 manag
VashaNatasha [74]

Answer:

a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

b) The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

Step-by-step explanation:

Question a:

We have to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a p-value of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{2050}{\sqrt{49}} = 574

The lower end of the interval is the sample mean subtracted by M. So it is 45420 - 574 = $44,846.

The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.

The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

Question b:

The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

5 0
3 years ago
What is equivalent to 9 3/4?
Nata [24]

Step-by-step explanation:

We need to say that 9^{3/4} is equivalent to what.

We know that, (3)² = 9

So,

9^{3/4}=((3)^2)^{3/4}\\\\=3^{3/2}

We can write 3^{3/2} =3\times 3^{1/2}

And 3^{1/2}=\sqrt{3}

So,

3\times 3^{1/2}=3\sqrt{3}

So, 9^{3/4} is equivalent to 3\sqrt{3}.

Hence, this is the required solution.

6 0
3 years ago
Solve 2 2 2 + + (22 − 2) = 0, ≠ 0, ≥ 0
TiliK225 [7]

Answer:

26

Step-by-step explanation:

add 222 and 20

3 0
3 years ago
What is the estimate of 5.26 ➕ 9.75?
Lelechka [254]
5.26 + 9.75
= 15.01
= 15
7 0
3 years ago
AnimeBrainly PleaseHelp!
jekas [21]

1.

Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month.

Super Fit charges a one-time registration fee of $150, and membership is $10 a month.

(a) Write a expression to represent the membership cost of Platinum Gym for x months.

Let x = months

20x + 60 is your expression

(b) Write an expression to represent the membership cost of Super Fit for x months

Let x = months

10x + 150 is your expression

(c) You are solving for both one month and twelve months of membership.

<u>One month:</u> Plug in 1 for x.

20(1) + 60 = 20 + 60 = 80

10(1) + 150 = 10 + 150 = 160

Platinum Gym is cheaper overall for one month by $80

<u>One year:</u> There are twelve months in a year. Plug in 12 for x.

20(12) + 60 = 240 + 60 = 300

10(12) + 150 = 120 + 150 = 270

Super Fit is cheaper than Platinum Gym overall for one year by $30

(d) Set the two expression equal to each other.

20x + 60 = 10x + 150

Isolate the x. Subtract 10x and 60 from both sides

20x (-10x) + 60 (-60) = 10x (-10x) + 150 (-60)

20x - 10x = 150 - 60

Simplify

20x - 10x = 150 - 60

10x = 90

Isolate the x. Divide 10 from both sides

10x/10 = 90/10

x = 9

It takes 9 months for the cost to be the same.

(e) It really depends on how long you want to work out at a gym. If you are working out for less than a year, than Platinum Gym is the better choice. If more than a year, then Super Fit is the better choice.

---------------------------------------------------------------------------------------------------------------------

hope this helps

5 0
3 years ago
Read 2 more answers
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