Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.

Mean
B.

Interquartile range
C.

Median
D.

Mean Absolute Deviation (MAD)
E.

Range

Answer:

a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.

b) 0.0009 = 0.09% probability that none of the three will be filled correctly

c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly

e) 0.0082 = 0.82% probability that only your order will be filled correctly

Step-by-step explanation:

For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The percentage of orders filled correctly at Burger King was approximately 90.5%.

This means that [tex]p = 0.905[/tex]

You and 2 friends:

So 3 people in total, which means that [tex]n = 3[/tex]

a. What is the probability that all the three orders will be filled correctly?

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412[/tex]

0.7412 = 74.12% probability that all the three orders will be filled correctly.

b. What is the probability that none of the three will be filled correctly?

This is P(X = 0).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009[/tex]

0.0009 = 0.09% probability that none of the three will be filled correctly.

c. What is the probability that one of the three will be filled correctly?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245[/tex]

0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d. What is the probability that at least one of the three will be filled correctly?

This is

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

With what we found in b:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991[/tex]

0.9991 = 99.91% probability that at least one of the three will be filled correctly.

e. What is the probability that only your order will be filled correctly?

Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So

[tex]p = 0.905*0.095*0.095 = 0.0082[/tex]

0.0082 = 0.82% probability that only your order will be filled correctly

Answer:

121.5

Step-by-step explanation:

75% =  75/100

Step 2 - Mutiply percenatge fraction by the entire (100%) quantity

75/100× 162 = 121.5

Final result

75 percent of 162 is 121.5

Answer:

121.5

Step-by-step explanation:

| percantage x 100% |

75/100 x 162 = 121.5

Answer:

V ≈ 84.8 cm³

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cylinder: V = πr²h

Step-by-step explanation:

Step 1: Identify Variables

Radius r = 3 cm

Height h = 3 cm

Step 2: Find Volume

Answer:

Step-by-step explanation:

As we know, the four angles of the rectangle are 90°.

So, we need to find ∠AEB first.

∠AEB=180-44-90 (∠s sum of Δ)

= 46°

We can then work out x.

x=180-59-46 (adj. ∠s on st. line)

x=75°

Answer: =3y−6.5z−9

Step-by-step explanation:

Answer:

1231.5

Step-by-step explanation:

I hope this help.

Answer:

Step-by-step explanation:

Answer:

people may not be doing it because u have it up for 5 points and it is alot  of work.

Step-by-step explanation:

Answer:

2.7084

Step-by-step expla

Answer:

y=-(x+11)(x-23)

Step-by-step explanation:

y=-(x+11)(x-23)

use the x intercepts they give you, and make it the opposite i.e. if it positive, then make it negative if it is negative make it positive

i.e. -11 equals 11

thus (x+11)

then, the graph is concave down, so it is negative at the front

Answer:

$ 14.00

Step-by-step explanation:

10 · 1.75 = 17.50

17.50 · .20 = 3.5

17.50 - 3.50 = 14.00

good luck, i hope this helps :)

Answer:

8 {m},{a},{t},{m,a},{m,t},{a,t},{m,a,t},{}

Answer:

28 inches

Step-by-step explanation:

the answer is 28 inches

12+16= 28

Number of snow snowed in January = 12 inches

Number of snow snowed this week = 16 inches

Number of snow snowed at all = 12+16

= 28 inches

hence it snowed 28 inches at all

Answer:

601 buyers must be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How many Windstar buyers must be surveyed if we want to be 95% confident that the sample percentage is within four percentage points of the true percentage for all Windstar buyers?

We need to survey n buyers. n is found when [tex]M = 0.04[/tex]. We dont have an estimate for the proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]

[tex]n = 600.3[/tex]

Rounding up

601 buyers must be surveyed.

Number one is straight angle

number two is obtuse

number three is acute

Number 4 is acute

number 5 is a right angle

number 6 is obtuse

number 7 is right angle

number 8 is obtuse

Answer:

2nd option is the correct answer

Step-by-step explanation:

Oscillating powerful magnets within wire coils.

Answer:

Step-by-step explanation:

I think it's got to be coal because the power plants always have like smoke and d is the only one that burns something

Answer:

2nd option ,

A is correct, B is incorrect, C is correct

Answer:

there answer is either a or c

Equation C represents circle A.Option C is correct.

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

The generalized equation of the circle with the coordinate(h,k) and radius r is;

(x-h)²+ (y-k) =r²

After graphing each and every equation given in the options we will come to the conclusion that equation c satisfies the given circle as;

(x-4)²+ (y-(-5)) =6²

(x-4)²+ (y-(-5)) =36

Hence option C is correct.

To learn more about the circle, refer to the link: https://brainly.com/question/11833983.

#SPJ2

Answer:

the greater number is 7 1/3.

Answer:

A)  36√3

Step-by-step explanation:

First, figure out the height.  Since it's an equilateral triangle, it would be

6²+B²=12²

36+B²=144

B²=144-36

B²=108

B=√108

B=√36x√3

B=6√3

Now we can get the area.

1/2(6√3)(12) = 36√3

Answer:

Missing dimension is 6

Step-by-step explanation:

2.5 times 4 is 10, to get to 60, your missing 6, 60/10=6

Answer:

7x - 8

Step-by-step explanation:

eight less than product of seven and X

seven and x = 7x

eight less than = - 8

put it all together = 7x - 8

Answer:

7x - 8

Step-by-step explanation:

product of seven and X

7 X x = 7x

8 less than it

7X - 8

This is because we're looking for something that is smaller than 7X by 8

Answer:

6 years old

Step-by-step explanation:

Given

[tex]f(t) = 200(1 -0.956e^{-0.18t})[/tex]

Required

Find t when f(t) = 140cm

Substitute f(t) = 140cm

[tex]140 = 200(1 -0.956e^{-0.18t})[/tex]

Divide both sides by 200

[tex]0.7 = 1 -0.956e^{-0.18t}[/tex]

Collect like terms

[tex]0.956e^{-0.18t} = 1 -0.7[/tex]

[tex]0.956e^{-0.18t} = 0.3[/tex]

Solve for t

[tex]e^{-0.18t} = 0.3/0.956[/tex]

[tex]e^{-0.18t} = 0.31381[/tex]

Take natural logarithm of both sides

[tex]ln(e^{-0.18t}) = ln(0.31381)[/tex]

[tex]-0.18tln(e) = ln(0.31381)[/tex]

[tex]-0.18t*1 = ln(0.31381)[/tex]

[tex]-0.18t = -1.159[/tex]

Solve for t

[tex]t = (-1.159)/(-0.18)[/tex]

[tex]t = 6.43[/tex]

[tex]t \approx 6[/tex]

Answer:

37

Step-by-step explanation:

14 + 8 + 15

Answer: 1680³

Step-by-step explanation:

length x width x height

14 x 15 x 8

Answer:

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that [tex]\mu = 8, \sigma = 4[/tex]

The probability that X is between 1.48 and 15.56

This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So

X = 15.56

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15.56 - 8}{4}[/tex]

[tex]Z = 1.89[/tex]

[tex]Z = 1.89[/tex] has a pvalue of 0.9706

X = 1.48

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.48 - 8}{4}[/tex]

[tex]Z = -1.63[/tex]

[tex]Z = -1.63[/tex] has a pvalue of 0.0516

0.9706 - 0.0516 = 0.919

Write out the probability notation for this question.

[tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

The probability that X is between 1.48 and 15.56 is [tex]P(1.48 \leq X \leq 15.56) = 0.919[/tex]

Answer:

Uhh I just want the points