Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of getting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time

Answer:

Question 1

Shannon: 882/2688

Trey: 1008/2688

Robert: 798/2688

Callie: 882/2688

Lani: 840/2688

Question 2

The greatest is 1008/2688 students.

The least is 798/2688 students.

The median of the data is 882/2688 students.

The mode of the data is 882/2688 students.

So, use the inference of 882/2688 students to describe the number of students at the school who prefer pop music.

Step-by-step explanation

Question 1

Shannon: Because 21/64 in Shannon's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.

Trey: Because 24/64 in Trey's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 24 gets us 1008/2688 who might prefer pop music in the entire school without surveying all of the students.

Robert: Because 19/64 in Robert's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 19 gets us 798/2688 who might prefer pop music in the entire school without surveying all of the students.

Callie: Because 21/64 in Callie's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.

Lani: Because 20/64 in Lani's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 20 gets us 840/2688 who might prefer pop music in the entire school without surveying all of the students.

Question 2

Using Shannon's or Callie's survey would best describe the number of students in the entire school because their individual results (21/64) is the average of all of the individual results of the 5 students. If you decide to use any of the other individual survey results, you will not get the closest answer to the actual amount of students who prefer pop music in the entire school.

Using the individual survey results to estimate the number of students who prefer pop music in the entire school:

The greatest was Trey's results, which estimated about 1008 out of 2688 students in the entire school who would prefer pop music.

The least was Robert's results, which estimated about 798 out of 2688 students in the entire school who would prefer pop music.

The median of the data was 882 out of 2688 students in the entire school who would prefer pop music, as shown in Shannon's and Callie's individual survey results.

To find the median, list the results least to greatest, then look at the number that is in the exact middle. If there is no middle, but instead two middle numbers, find the average of the two.

The mode of the data was Shannon's or Callie's results, which estimated about 882 out of 2688 students in the entire school who would prefer pop music.

To find the mode, look for the number or result that it repeated the most (Ex: the result of 21/64 students who preferred pop music was found twice compared to the other individual survey results which did not repeat more than once).

So, in the end using Shannon's or Callie's individual survey results to estimate the amount of students in the entire school who prefer pop music is the best way to do so.

Please comment if you think I made a mistake, misunderstood, or missed something.

Answer:

57.5

Step-by-step explanation:

The expected frequency of West Campus and Failed :

Let :

Failed = F

East Campus = C

West Campus = W

Passed = P

Frequency of FnW :

[(FnE) + (FnW) * (PnW) + (FnW)] / total samples

[(52 + 63) * (63 + 37)] / 200

[(115 * 100)] / 200

11500 / 200

= 57.5

n(Failed n East campus)

Answer:

57.5

Step-by-step explanation:

Got it right on the test.

Answer:

65 degrees

Step-by-step explanation:

Angles in a triangle add to 180°.

Answer:

take 28 degree as reference angle

using sine angle

sin28=p/h

0.46=10/h

0.46h=10

h=10/0.46

h=21.73

therefore hypotenuse =21.73

again using sine rule

take 25 degree as reference angle

sin 25=p/h

0.42=SR/21.73

0.42*21.73=SR

9.12=SR

9.1=SR

Step-by-step explanation:

Answer:

7 yards

Step-by-step explanation:

Answer:

y intercept: [tex]y = 1[/tex]

x intercept: [tex]x = -1[/tex] and [tex]x = -3[/tex]

Step-by-step explanation:

Given

The attached graph

Solving (a): The y intercepts

This is the point where [tex]x = 0[/tex]

From the attached graph, [tex]x = 0[/tex] when

[tex]y = 1[/tex]

Hence, the y intercept is 1

Solving (b): The x intercepts

This is the point where [tex]y = 0[/tex]

From the attached graph, [tex]y = 0[/tex] when

[tex]x = -1[/tex] and [tex]x = -3[/tex]

Hence, the x intercept are -1 and -3

Answer:

Here is what you do. Make it into vertex form and then whatever the x factor is is the growth factor

Answer:

220.8

Step-by-step explanation:

I believe 220.8

sorry if I am wrong.

Answer:

320×69÷100

answer * number is 220

The answer goes here,

a) We have to tell the time and day which simone has to tell her sister, for picking her up from airport.

b) We have given the day (monday), time(7:00 pm) and total time to reach the destination(18 hours).

c) No such formula will be used here, we will just use our mental ability to solve this question.

d) She will leave at 7:00 pm, day has 24 hours. So, she will be in the flight on monday:

= 24 - (12 + 7) ----------- [12 here means the time of rest of the day,(morning to noon)]

= 24 - 19

= 5 hours

So, she will complete 5 hours of her destination on monday,now the time left is:

= 18 - 5

= 13

= (12 + 1 )hours

So, on tuesday, she will be in the flight for 12 hours (noon) and then on 1:00 pm she will reach the airport, as she needs and extra hour to plane so, the final time is 1:30 pm. And finally, the time she should tell her sister is 1.30 pm.

Answer:

what is the question?

Step-by-step explanation:

Answer:

i answered

Step-by-step explanation:

Answer:

1 = 100% probability that a person will wait for more than 33 minutes.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The mean waiting time is 55 minutes and the variance of the waiting time is 11.

This means that [tex]\mu = 55, \sigma = \sqrt{11}[/tex]

Find the probability that a person will wait for more than 33 minutes.

This is 1 subtracted by the p-value of Z when X = 33. So

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

[tex]Z = \frac{33 - 55}{\sqrt{11}}[/tex]

[tex]Z = -6.63[/tex]

[tex]Z = -6.63[/tex] has a p-value of 0.

1 - 0 = 1

1 = 100% probability that a person will wait for more than 33 minutes.

Answer:

SA = 484 cm²

Step-by-step explanation:

Surface area of the composite figure = surface area of the larger rectangular prism + (surface area of the smaller rectangular prism - base area of the smaller rectangular prism)

✔️Surface are of the larger rectangular prism = 2(LW + LH + WH)

L = 7 cm

W = 7 cm

H = 12 cm

S.A = 2(7*7 + 7*12 + 7*12) = 434 cm²

✔️Surface are of the smaller rectangular prism = 2(LW + LH + WH)

L = 7 cm

W = 2 cm

H = 2 cm

S.A = 2(7*2 + 7*2 + 2*2) = 64 cm²

✔️Base area of the smaller rectangular prism = L*W

L = 7 cm

W = 2 cm

Area = 7*2 = 14 cm²

✅Surface area of the composite figure = 434 + (64 - 14)

= 434 + 50

= 484 cm²

Answer:

The answer is C and E

Step-by-step explanation:

Answer:

a) 120 possible experimental runs

b) 8 possible experimental runs

c) 0

Step-by-step explanation:

a. For the experiment, there are 6 different temperatures (T), 5 different pressures (P), and 4 different catalysts (C). We can find the total number of combinations using the product rule.

N = T × P × C

N = 6 × 5 × 4 = 120

b) If we use only the lowest temperature, we have T = 1, and if we use the two lowest pressures, we have P = 2. We can find the total number of combinations using the product rule.

N = T × P × C

N = 1 × 2 × 4 = 8

c) If we perform 5 experimental runs with 4 possible catalysts, it is not possible to use a different catalyst each time. At least, 1 catalyst must be repeated twice. Then, the event "a different catalyst is used on each run" has a probability of 0.

Answer:

The distance between the two towns is of 1000 km.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

3 cm represents a distance of 400 km.

What is the distance represented by 7.5 cm?

3 cm - 400 km

7.5 cm - x km

Applying cross multiplication:

[tex]3x = 400*7.5[/tex]

[tex]x = \frac{400*7.5}{3}[/tex]

[tex]x = 1000[/tex]

The distance between the two towns is of 1000 km.

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

9514 1404 393

Answer:

  7x^3 +11x^2 -5x -8

Step-by-step explanation:

Combine like terms.

  (4x^3+6x^2+2x^2-3) + (3x^3+3x^2-5x-5)

  = (4 +3)x^3 +(6 +2 +3)x^2 +(-5)x + (-3 -5)

  = 7x^3 +11x^2 -5x -8

_____

Noting that the first expression contains two x^2 terms, we wonder if you actually want the sum ...

  (4x^3+6x^2+2x-3) + (3x^3+3x^2-5x-5)

  = (4 +3)x^3 +(6 +3)x^2 +(2 -5)x +(-3 -5)

  = 7x^3 +9x^2 -3x -8

9514 1404 393

Answer:

  28. 480

  29. 40,320

Step-by-step explanation:

28. The number of possible choices is the product of the numbers of choices for each component:

  5×8×12 = 480 . . . . possible different systems

__

29. Regardless of where person A sits, the remaining B through I people can be seated in 8! = 40,320 different orders.

There are 40,320 possible seating arrangements.

The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.

The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.

The data set is;

1,6,8,8,8

Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.

There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.

If the outlier is removed mean, range, and median will changes.

Hence options A, B and C are correct.

To learn more about mean refer:

https://brainly.com/question/13451489

#SPJ2

Answer:

By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 78 and a standard deviation of 6

This means that [tex]\mu = 78, \sigma = 6[/tex]

Samples of n:

This means that the standard deviation is:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}[/tex]

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.

Answer:

C. y = 8x

Step-by-step explanation:

Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.

[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]

Marisol:

[tex]m = \frac{18-12}{3-2} \\m=6[/tex]

Timothy:

[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]

Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.

Answer:

C. 8/25 - 19/25i

Step-by-step explanation:

Given that:

[tex]\dfrac{4-i}{3+4i}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)} \\ \\ =\dfrac{12 -16i -3i+4i^2}{9 - 12i +12i -16i^2} \\ \\ = \dfrac{12-19i+4i^2}{9-16i^2} \\ \\ = \dfrac{8-19i}{25}[/tex]

[tex]=\dfrac{8}{25}- \dfrac{19i}{25}[/tex]

Answer:

AB = 9

Step-by-step explanation:

Here is a simple case of a proportion.

We see that:

3:4

x:12

what can we do to make 4 into 12?

we multiply it by 3

so we do the same to 3

3*3=9

Answer:

A. A triangle can be equilateral and obtuse at the same time

Step-by-step explanation:

All angles in an equilateral triangle are 60° therefore they cannot be above 90° and less than 180°

Answer:

[tex]0.4138[/tex]

Step-by-step explanation:

Given

[tex]x \to storm[/tex]

[tex]\mu_x = 1.0[/tex]

[tex]y \to fire[/tex]

[tex]\mu_y = 1.5[/tex]

[tex]z \to theft[/tex]

[tex]\mu_z = 2.4[/tex]

Let the event that the above three factors is greater than 3 be represented as:

[tex]P(A > 3)[/tex]

Using complement rule, we have:

[tex]P(A > 3) = 1 - P(A \le 3)[/tex]

This gives:

[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]

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

The exponential distribution formula of each is:

[tex]P(x \le k) = 1 - e^{-\frac{k}{\mu}}[/tex]

So, we have:

[tex]k = 3; \mu_x = 1[/tex]

[tex]P(x \le 3) = 1 - e^{-\frac{3}{1}} = 1 - e^{-3} = 0.9502[/tex]

[tex]k=3; \mu_y = 1.5[/tex]

[tex]P(y \le 3) = 1 - e^{-\frac{3}{1.5}} = 1 - e^{-2} = 0.8647[/tex]

[tex]k = 3; \mu_z = 2.4[/tex]

[tex]P(z \le 3) = 1 - e^{-\frac{3}{2.4}} = 1 - e^{-1.25} = 0.7135[/tex]

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

[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]

[tex]P(A > 3) = 1 - (0.9502 * 0.8647 *0.7135)[/tex]

[tex]P(A > 3) = 1 - 0.5862[/tex]

[tex]P(A > 3) = 0.4138[/tex]

Answer:

angle C =113 degree

Step-by-step explanation:

angle A + angle C =180 degree

angle C = 180 degree - angle A  

angle C = 180 degree - 67 degree

=113 degree

Answer:

9

Step-by-step explanation:

0.001 · 9 = 0.009

Answer:

too much salt will not bring taste to the cup cakes

Step-by-step explanation: