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egoroff_w [7]
3 years ago
9

For the orchestra concert, the orchestra director has asked that everyone wear either black pants or a black skirt. Five times a

s many students wore black pants as black skirts. If there are sixty students in the choir, how many wore a black skirt?
A.10
B.30
C.50
D.60
Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

A:10

Step-by-step explanation:

1. Analyze: There are 60 people total and there is 5x more pants than skirts. This outrules 60 and 50.

2: Testing put all of your numbers into an equation. Since you need the total to be 60 you can do this. I am using p(pants) S(skirts for my example. S+S5=60 10 works in this equation.

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The National Center for Educational Statistics surveyed 5400 college graduates about the lengths of time required to earn their
fenix001 [56]

Answer:

The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.

Step-by-step explanation:

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

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

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 = 1.645*\frac{1.9}{\sqrt{4500}} = 0.04

The lower end of the interval is the sample mean subtracted by M. So it is 5.4 - 0.04 = 5.36 years.

The upper end of the interval is the sample mean added to M. So it is 5.4 + 0.04 = 5.44 years.

The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.

3 0
3 years ago
a total of 1500 raffle tickets were collected during the school fair. if you have 30 raffle tickets, what is the probability tha
hammer [34]

Answer: 1/50 or 0.02

Step-by-step explanation:

30 / 1500 = 1/50

1/50 or 0.02

3 0
3 years ago
Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?​</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x

$\cos \left(38.5^{\circ}\right) x=40

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}

simplifying the above equation, we get

$x=\frac{40}{\cos \left(38.5^{\circ}\right)}

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

#SPJ9

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1 year ago
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The amount of water that fills up the tub !
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2 years ago
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Pleas help? No links pleas. I will give you points...
Elden [556K]

Answer:

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Step-by-step explanation:

I can't give it to you without answer choices

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