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d1i1m1o1n [39]
10 months ago
7

Rolling a 6-sided die and counting the number of each outcome that occurs is a binomial random vanable True or Fallber? Which op

tion gives the most accurate respon A False, there are more than 2 options being recorded OB. False, the geometric distribution would be more appropriate here since die rolls are not independent from roll to roll OC. False, the probability of success changes from one roll to another OD. True, probabilities remain the same from roll to roll, and we are counting the *******

Mathematics
1 answer:
oee [108]10 months ago
7 0

A.

Binomial random variables have 2 outcomes

die rolls are independent of each other

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Dana walks 3/5 mile in 1/4 hour. What is dana's walking rate in miles per hour?
Flura [38]
Here, our equation is 3/5 (0.6) mile per 1/4 (0.25) hour.  0.25 times 4 = 1, so we have to multiply 1/4 (0.25) 4 times to get 1 mile. To get a proportional answer, we must also multiply 3/5 (0.6) by 4. This comes out to 2.4. So her walking rate is 2.4 miles per hour.


8 0
3 years ago
The larger of two number is 12 more than the smaller number.if the sum of the two numbers is 74, find the two numbers
Mars2501 [29]
<h3><u>The value of the smaller number is 31.</u></h3><h3><u>The value of the larger number is 43.</u></h3>

y = 12 + x

y + x = 74

Since we have a value for y, we can plug it into the second equation

12 + x + x = 74

Subtract 12 from both sides.

x + x = 62

Combine like terms.

2x = 62

Divide both sides by 2.

x = 31


Now that we have a value of x, we can plug it into the original equation to get a value for y.

y = 12 + 31

y = 43

3 0
3 years ago
At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric
Zanzabum

Answer:

a) (1215, 1297)

b) (1174,  1338)

c) (1133, 1379)      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 1256

Standard Deviation, σ = 41

Empirical Rule:

  • Also known as 68-95-99.7 rule.
  • It states that almost all the data lies within three standard deviation for a normal data.
  • About 68% of data lies within 1 standard deviation of mean.
  • About 95% of data lies within two standard deviation of mean.
  • About 99.7% of data lies within 3 standard deviation of mean.

a) range of years centered about the mean in which about 68% of the data lies

\mu \pm 1(\sigma)\\=1256 \pm 41\\=(1215, 1297)

68% of data will be found between 1215 years and 1297 years.

b) range of years centered about the mean in which about 95% of the data lies

\mu \pm 2(\sigma)\\=1256 \pm 2(41)\\=1256 \pm 82\\=(1174, 1338)

95% of data will be found between 1174 years and 1338 years.

c) range of years centered about the mean in which about all of the data lies

\mu \pm 3(\sigma)\\=1256 \pm 3(41)\\=1256 \pm 123\\=(1133, 1379)

All of data will be found between 1133 years and 1379 years.

3 0
3 years ago
Bennett tried to solve exercise 1 a few different ways. Which of his methods are correct? Of the other methods, which makes the
nasty-shy [4]
The answer is e beac=use it fits

4 0
3 years ago
Solve the equation 5x-2x^2+1
Pani-rosa [81]

Answer:

Step-by-step explanation:

If you call "5x-2x^2+1" an "equation," then you must equate 5x-2x^2+1 to 0:

5x-2x^2+1 = 0

This is a quadratic equation.  Rearranging the terms in descending order by powers of x, we get:

-2x^2 + 5x + 1 = 0.  Here the coefficients are a = -2, b = 5 and c = 1.

Use the quadratic formula to solve for x:

First find the discriminant, b^2 - 4ac:  25 - 4(-2)(1) = 25 + 8 = 33

Because the discriminant is positive, the roots of this quadratic are real and unequal.

                                                             -b ± √(discriminant)

Applying the quadratic formula   x = --------------------------------

                                                                         2a

we get:

      -5 ± √33           -5 + √33

x = ----------------- = --------------------- and

           2(-2)                     -4

                                  -5 - √33

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

                                         -4

5 0
3 years ago
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