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DIA [1.3K]
3 years ago
13

A fair Octahedral (eight-sided) die has the

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

Answer:

30%

Step-by-step explanation:

Your chance of scoring a 5 is 30%

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College alcohol and drug use: In a Washington Post/Kaiser Family Foundation poll conducted from January through March 2015, 56%
natima [27]

Answer:

D)We are 95% confident that the proportion of adults (ages 17‐26) who attended college during the past 4 years and say that alcohol and drug use at their school is a big problem is between 53% and 59%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

95% confidence interval is (0.53, 0.59).

This means that we are 95% sure that the true proportion for the population of adults who attended college who say that alcohol is a big problem is between 0.53 and 0.59. This means that the answer is given by option D.

8 0
2 years ago
Present Value Hoew much shuold be deposited in an account paying 7.8% interest compounded monthly in order to have a balance of
Alisiya [41]

Answer: $15385 should be deposited.

Step-by-step explanation:

The principal was compounded monthly. This means that it was compounded 12 times in a year. So

n = 12

The rate at which the principal was compounded is 7.8%. So

r = 7.8/100 = 0.078

It was compounded for 4 years. Therefore,

t = 4

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. The total amount is given as $21000. Therefore

21000 = P (1+0.078/12)^12×4

21000 = P (1+0.078/12)^48

21000 = P (1+0.0065)^48

21000 = P (1.0065)^48

P = 21000/1.365

P = $15385

6 0
3 years ago
A thin piece of wood of uniform density in the shape of an equilateral triangle with side length 3 inches weighs 12 ounces. A se
natta225 [31]
Sorry i dont know the answer but i can help you with your other questions
7 0
2 years ago
Read 2 more answers
The slope f′(x) at each point (x,y) on a curve y=f(x) is given, along with a point (a,b) on the curve. Use this information to f
Montano1993 [528]

f'(x)=\dfrac{4x}{1+7x^2}

Integrating gives

f(x)=\displaystyle\int\frac{4x}{1+7x^2}\,\mathrm dx

To compute the integral, substitute u=1+7x^2, so that \frac27\,\mathrm du=4x\,\mathrm dx. Then

f(x)=\displaystyle\frac27\int\frac{\mathrm du}u=\frac27\ln|u|+C

Since u=1+7x^2>0 for all x, we can drop the absolute value, so we end up with

f(x)=\dfrac27\ln(1+7x^2)+C

Given that f(0)=10, we have

10=\dfrac27\ln1+C\implies C=10

so that

\boxed{f(x)=\dfrac27\ln(1+7x^2)+10}

7 0
3 years ago
15 = r -6 what does r equal
77julia77 [94]

Answer:

21-6=15

Step-by-step explanation:

3 0
3 years ago
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