Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days. a. In words, define the random variable X. a. The duration of a criminal trial b. X ~ _N____(___21__,__7___) c. If one of the trials is randomly chosen, find the probability that it lasted at least 24 days. Sketch the graph and write the probability statement.

Answers

Answer 1

Answer:

0.33411

The probability that a particular criminal trial lasted atleast 24 days is 0.33411

Step-by-step explanation:

The random variable X is normally distributed with a mean of 21 and standard deviation of 7

;

X ~ N(μ = 21 ; σ = 7)

X ~ N(21, 7)

Probability that a trial lasted atleast 24 days :

P(X ≥ 24) :

The standardized score :

Z = (x - μ) / σ ; (24 - 21) / 7 ; 3 / 7 = 0.4286

Hence,

P(Z ≥ 0.4286) = 0.33411

The probability that a particular criminal trial lasted atleast 24 days is 0.33411


Related Questions

Which is the equation of the given line? Please help!!

Answers

Ok so I’m gonna be able and I’ll be back off the next month to go get home with my buddy and I’ll let go and I get the money from the store to you deliver it for me you know how much I appreciate you I appreciate your time so I’m glad I can 30$ 50$$$ 90$

Ian has 22 ounce iced tea. He drinks 10 ounces. Enter the percentage of ounces Ian has left of his iced tea. Round your answer to the nearest hundredth

Answers

Answer:

54.55%

Step-by-step explanation:

If he drank 10 ounces, that means he has 12 ounces of the tea left.

Find the percent that he has left by dividing 12 by 22, and multiplying it by 100

(12/22) x 100

= 54.55

So, Ian has approximately 54.55% left of his iced tea

What is the most common weight?" 10 points This dot plot shows the weights of backpacks, in kilograms, of 50 sixth-grade students at a school in New Zealand.​

Answers

Answer:

4

Step-by-step explanation:

i think its correct

Cuantas horas son de 7am a 5 pm

Answers

Answer:

10 hours or diez horas

Step-by-step explanation:

El total de horas entre las 7 am y las 5 pm es de 10 horas (5+5).

(English)

What is a clock?

A clock, often known as a timepiece, is a device that measures and displays the passage of time.

The clock works in 12 hours time period, therefore, the time between 7 am and 12 pm is 5 hours, similarly, the time between 12 pm and 5 pm is 5 hours.

Thus, the total hours between 7 am and 5 pm is 10 hours(5+5).

(Spanish)

¿Qué es un reloj?

Un reloj, a menudo conocido como reloj, es un dispositivo que mide y muestra el paso del tiempo.

El reloj funciona en un período de tiempo de 12 horas, por lo tanto, el tiempo entre las 7 am y las 12 pm es de 5 horas, de manera similar, el tiempo entre las 12 pm y las 5 pm es de 5 horas.

Así, el total de horas entre las 7 am y las 5 pm es de 10 horas (5+5).

Learn more about Clock:

https://brainly.com/question/12528769

#SPJ2

Please help I will give brainlesstQuestion 9 of 10
If F(x) = x - 7 and G(x) = x^3 what is G(F(x))?
O A. x-7
O B. (x-7)3
O c. x2 + x - 7
O D. x^3(x-7)

Answers

Answer: D, x^3 (x-7)

Step-by-step explanation:

plug into G(f(x))

x^3 (x - 7)

Who do historians believe created the first American flag

Answers

Answer:

Besty Ross

Step-by-step explanation:

Brainllest

An angle measures 62° less than the measure of its complementary angle. What is the measure of each angle? (i need two answers please help see the pic)

Answers

Answer:

28° 62°

Step-by-step explanation:

Hope this helps :)

The opposite of 0 please help fast

Answers

Answer: The opposite of 0 is 0

Step-by-step explanation: Hope this help :D

Answer:

0

Step-by-step explanation:

because there is no opposite to 0 so it would just be 0

Bo took a walk. From his house he went 2 blocks west, 7 blocks north, 3 blocks west, 4 blocks south, and 5 blocks east. How far was he from his home?

Answers

He was 20 blocks far

7. The following numerical ordered sequence of numbers has a mean of 13 and a median of 14. 4. a. 8. 10. 13.b. 16. 18. 20:21 Gven this information, the values of a ondo must be: ​

Answers

Answer:

a = 9

b = 19

Step-by-step explanation:

DO B FIRST

The mean is the average of all the terms (numbers) in the sequence

To find the average you find the sum of the terms and divided the sum by the number of terms there are.

The mean times the number of terms equals the sum of all the terms subtract the terms that you know from the sum to get A

a = 17(10)-7-12-15-17-19-20-22-24-25

a = 170-161

a = 9

The median is found by taking the average of the two middle terms

Our middle terms are 17 and B

the median times 2 equals the sum of the two terms and then subtract the term you know from the sum

b = 18(2)-17

b = 36-17

b = 19

. Kemone bought 3 pounds of hamburger for $2.56 per pound and a box of cereal for $3.95. How can you calculate how much she spent? *

Answers

Answer:

Step-by-step explanation:

you multiply 2.56 by 3 and add 3.95 an equation would look like y=(3×2.56)+3.95

Which shows the expressions rewritten with the least common denominator?
7x-2
and
x-1
8x
28X-8
and
2x² - 2x
16x?
16x?
14x - 4
and
2x-2
8x?
8x?
28x2-8x 2x3 - 2x²
and
16x
16x?
14x - 4
and
8x2
8x?

Answers

Answer:

Heyyyyy, use https://www.bartleby.com/  it has helped me out a lot & has literally saved my grades. Its actual tutors/teachers who answer your questions in about 30 minutes !!!!!!!!

Answer:

This question is missing a denominator!

it is 7x-2/4x^2 and x-1/8x

I do not know the answer though....I came here looking for help!!

Step-by-step explanation:

A football stadium holds 5000 people.
On a match day z of the stadium is full.
40% of the children are girls.
The ratio of adults to children is 2:3
How many of the children attending are boys?

Can someone plz help me with this

Answers

Answer:

1000 children

Step-by-step explanation:

Find the total units of adults and children = 2 + 3 = 5

5 units = 5000

1 unit = 5000 ÷ 5 = 1000

100% ÷ 5 units = 20% each unit

3 units = 20% x 3 = 60%

Since we all know that 60% of the people are children and 40% of the children are girls...

60 - 40 = 20%

20% = 1000

equation on
1) 3x + 4 = 2x + 6
2) 4x - 9 = 2x + 1
3) 4x - 3 = x + 6
4) 5m - 2 = 16 - 4m

Answers

1.) 7x = 8x

2.) -5x = 3x

3.) 1x = 6x

4.) 3m = 12m


helppppppppppppppppppp

Answers

Answer:

15

Step-by-step explanation:

17+17=34

64-34=30

30÷2=15

so the answer is 15

Answer is 15

Step by step exploration

P=2v+2*17=64
2v=30
v=15

If you know the area circle,how can you find its radius use the drop down menus to explain your answer

Answers

Answer:

You divide the diameter by 2 to get the radius.

is .5 a integer? xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Answers

Answer:

No

Step-by-step explanation:

Fractions and decimals are not considered integers

0.5 is not an integer it is a decimal. Only number that can be made by repeatedly adding and subtracting 1 to/from 0 (including 0) are integers can I get a brainliest pleasee

Megan is going to organize her stamp collection into a 240-page book. She has organized 150 pages. What percent of her pages has she organized?

A- 60%
B- 50%
C- 62.5%
D- 75%

*6th Grade Mathematics*

Answers

Answer: C- 62.5
Steps: 62.5% of 240
= 62.5/100
= 0.625 x240
= 150
Therefore 62.5% has been organized.

PLEASE PLEASE HELP I BEG; NO LINKS!

Answers

Answer:

30 ft

Step-by-step explanation:

Bottom rectangle:

A = bh

A = (5)(2)

A = 10

Middle rectangle:

A = bh

A = (6)(2)

A = 12

Top rectangle:

A = bh

A = (4)(2)

A = 8

Combined:

10 + 12 + 8

30

someone please help me answer this correctly

Answers

Answer:

13 units is the answer.

Step-by-step explanation:

points (8,-4) and (3,8)

We can rewrite the Pythagorean theorem as,

[tex]d=\sqrt{(x_2 - x_1)^2+(y_2-y_1)^2} \\\\d= \sqrt{(3-8)^2 + (8-(-4))^2} \\\\d=\sqrt{(-5)^2 + (12)^2} \\\\d=\sqrt{25 + 144} \\\\d=\sqrt{169} \\\\d=13\\\\[/tex]

∴ distance between 2 points (8,-4) and (3,8) = 13 units.

What is the area of the trapezoid? If necessary, round your answer to the nearest tenth. 5.5 ft 1 1 6.5 ft h 8.5 ft​

Answers

Answer:

The answer should be 55.3

Step-by-step explanation:

because 6.5 × 8.5 = 55.25. and that rounded is 55.3. :>> hope this helpss!

The zeroes of the function are

-2 and 0
0 and 4
-2, 0, and 4

Answers

1. x=-2, x=0

So, the equation in factored form would be x(x+2)=0.

2. x=0, x=4

So, the equation in factored form would be x(x-4)=0.

3. x=-2, x=0, x=4

So, the equation in factored form would be x(x+2)(x-4)=0.

Answer:

-2, 0, and 4

second part is none

third part is B

Step-by-step explanation:

I ended up doing it right now

Find the surface area of a cylinder with a diameter of 8
yards and a height of 9 yards.

Answers

Answer:

a=326.76 yd^2

Step-by-step explanation:

a= 2pi(d/2)h+2pi(d/2)^2=2pi(8/2)9+2pi(8/2)^2= 326.72564yd^2

HELP !!!!!! I need this question to Graduate high school!!! Plzzzz help me

Answers

I’m solving it. I’m solving it

20
A wildlife biologist tracks the number of wolves in a particular region. Data for 15 months is shown. Use the
data to make a frequency table with intervals.
15, 19, 24, 28, 26, 29, 17, 16, 17, 14, 22, 20, 18, 27, 27

Answers

Answer:

A wildlife biologist tracks the number of wolves in a particular region. Data for 15 months is shown. Use the

data to make a frequency table with intervals.

15, 19, 24, 28, 26, 29, 17, 16, 17, 14, 22, 20, 18, 27, 27

a. Wolves Observed

Number of Wolves Frequency

15  19 6

20  24 3

25  29 5

c. Wolves Observed

Number of Wolves Frequency

14  17 5

18  21 3

22  25 2

26  29 5

b. Wolves Observed

Number of Wolves Frequency

14  16 3

17  19 4

20  24 3

25  29 5

d. Wolves Observed

Number of Wolves Frequency

14  17 5

18  21 3

22  25 3

26  29 4

which expression is equivalent to 2(3x-4)

Answers

Answer:

6x-8

Step-by-step explanation:

2*3x=6x

2*-4= -8

6x-8

The Equivalent Expression of 2(3x-4) is 6x- 8.

What is Expression?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Given:

2(3x-4)

Using the Distributive Property

a x (b+ c)= (a x b)+ ( a x c)

So,  2(3x-4)

=2(3x)- 2(4)

= 6x - 8

Hence, the Equivalent Expression is 6x- 8.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

1/2 of 1/3 is help please

Answers

Answer:

1/6

Step-by-step explanation:

To find the answer:

1/2 x 1/3 = 1/6

1/2x1/3=1/6 because (of) means multiply so multiply 1x1 equals 1 and 2x3 equals 6 so the answer is 1/6



Hope this helps :)

could you help me with this? I am very bad at math i need help ​

Answers

Answer:

10) 7 meters

11) 10 yards

12) 452.16 inches²

13) 235.5 meters²

14) 22608 centimeters²

15) 4220.16 centimeters²

16) 1177.5 centimeters²

17) 141.3 millimeters²

Step-by-step explanation:

10) The volume of a rectangular prism is calculated by multiplying the height, width, and length of the shape. In this question, we have the volume, the width, and height, but not the length. To find it, we can divide the width and height from the volume.

First, divide the width.

[tex]\frac{210}{5}[/tex] = 42

Next, the height.

[tex]\frac{42}{6}[/tex] = 7

The length of the shape is 7 meters.

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

11) For this question, we can do the same thing. Take the volume, then divide the length and width from it.

[tex]\frac{360}{6}[/tex] = 60

[tex]\frac{60}{6}[/tex] = 10

The height is 10 yards.

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

12) We have to find the volume of a cylinder. The formula for this is [tex]V=\pi r^2h[/tex]. We will use 3.14 for pi. The radius is 4 in and the height is 9 in. We can plug our values into the equation and solve.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](4²)(9)

V = 3.14(4²)(9)

V = 50.24(9)

V = 452.16

The volume is 452.16 inches².

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

13) We will use the same formula for this. Our radius is 5 m and the height is 3 m. Plug the values in and solve.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](5²)(3)

V = 3.14(5²)(3)

V = 78.5(3)

V = 235.5

The volume of this cylinder is 235.5 meters².

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

14) The radius of this cylinder is 15 cm. The height is 32 cm. Put these numbers into our formula.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](15²)(32)

V = 3.14(15²)(32)

V = 708.5(32)

V = 22608

The volume of this cylinder is 22608 centimeters².

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

15) The next cylinder has a radius of 8 cm and a height of 21 cm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](8²)(21)

V = 3.14(8²)(21)

V = 200.96(21)

V = 4220.16

The cylinder has a volume of 4220.16 centimeters².

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

16) This cylinder has a radius of 5 cm and a height of 15 cm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](5²)(15)

V = 3.14(5²)(15)

V = 78.5(15)

V = 1177.5

The volume is 1177.5 centimeters².

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

17) The dimensions of this cylinder are 3 mm and 15 mm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](3²)(15)

V = 3.14(3²)(15)

V = 9.42(15)

V = 141.3

The volume is 141.3 millimeters².

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

I hope this helps ^^ Good luck

Suppose 229 subjects are treated with a drug that is used to treat pain and 52 of them develop nausea use a 0.01 significance level to test the claim that more than 20% of users develop nausea identify the Noel and alternative hypothesis for this test

Answers

Answer:

The null hypothesis is [tex]H_o: p \leq 0.2[/tex]

The alternate hypothesis is [tex]H_a: p > 0.2[/tex]

The pvalue of the test is 0.1515 > 0.01, which means that we do not reject the null hypothesis that 20% of less users develop nausea, that is, we have no sufficient evidence that this proportion is larger than 20%.

Step-by-step explanation:

Test the claim that more than 20% of users develop nausea

This means that the null hypothesis is that 20% or less of the users develop nausea, that is:

[tex]H_o: p \leq 0.2[/tex]

And the alternate hypothesis is that more than 20% develop, so:

[tex]H_a: p > 0.2[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8}[/tex]

Suppose 229 subjects are treated with a drug that is used to treat pain and 52 of them develop nausea.

This means that [tex]n = 229, X = \frac{52}{229} = 0.2271[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.2271 - 0.20}{\frac{\sqrt{0.2*0.8}}{\sqrt{229}}}[/tex]

[tex]z = 1.03[/tex]

Pvalue of the test an decision:

Probability of finding a proportion above 0.2271, which is 1 subtracted by the pvalue of z = 1.03

Looking at the z-table, z = 1.03 has a pvalue of 0.8485

1 - 0.8485 = 0.1515

The pvalue of the test is 0.1515 > 0.01, which means that we do not reject the null hypothesis that 20% of less users develop nausea, that is, we have no sufficient evidence that this proportion is larger than 20%.

A submarine is 200 feet below sea level.

Answers

It is 200 feet below sea level guess what soo coool

Answer:

omg cool I never knew omggggg!!!! PLSSS

Other Questions
Masse Corporation uses part G18 in one of its products.The company's Accounting Department reports the following costs of producing the 17,100 units of the part that are needed every year:Per UnitDirect materials $4.30Direct labor 5.00Variable overhead 8.00Supervisor's salary 8.70Depreciation of special equipment 9.30Allocated general overhead 6.30An outside supplier has offered to make the part and sell it to the company for $32.00 each.If this offer is accepted, the supervisor's salary and all of the variable costs, including direct labor, can be avoided.The special equipment used to make the part was purchased many years ago and has no salvage value or other use.The allocated general overhead represents fixed costs of the entire company.If the outside supplier's offer were accepted, only $23,100 of these allocated general overhead costs would be avoided.In addition, the space used to produce part G18 could be used to make more of one of the company's other products, generating an additional segment margin of $33,000 per year for that product.Required:1. Calculate the effect on the company's total net operating income of buying part G18 from the supplier rather than continuing to make it inside the company.2. Which alternative should the company choose?Buy or Make Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of people, the linear correlation coefficient is 0.939 and the equation of the regression line is y = -11 + 1.14x, where x represents the IQ score of the husband. Also, the 20 x values have a mean of 100.9 and the 20 y values have a mean of 100.9. What is the best predicted IQ of the wife, that the husband has an IQ of 100? Use a significance level of 0.05. The best predicted IQ of the wife is ______. (Round to two decimal places as needed.) How is a budget surplus different from a budget deficit? A budget surplus leads to an increase in the national debt; a budget deficit leads to a decrease in the national debt. A budget surplus happens when interest rates rise; a budget deficit happens when interest rates fall. A budget surplus is caused by an increase in mandatory spending at the federal level; a budget deficit is caused by an increase in discretionary spending at the federal level. A budget surplus occurs when revenues are greater than expenditures; a budget deficit occurs when expenditures are greater than revenues. describeswilteddormant111growth:: Plants change leaf hormones in response to light.:: Plants undergo transpiration:: Plants preserve their energy for growth How did slavery shape social and economic relations in the Old South? How was the North affected by this "Peculiar Institution"? Be specific Read these sentences from paragraph 3. ASL is a complex, complete language, just like spoken English. ASL even has different pronunciations for certain words in different regions of the country.Which of the following could be added to the beginning of the second sentence to better show the relationship between these sentences? A. In contrast, B. In fact, C. Besides, D. Regardless, What feelings are evoked by the Bara team anthem? Ill give you brainliest ......How did life change for eugene when the nazis occupied his country in 1944 PLEASE HELP I CANT FIGURE THESE OUT ... i put pictures AND I WILL GIVE BRAINLIEST To make a big batch of cookies for her father, Annmarie needs 1 1/4 pounds of chocolate chips, 3/4 pounds of walnuts, and 12 ounces of raisins. How many ounces of these three ingredients does she need in all?A. 28ouncesB. 44ouncesC. 48ouncesD. 76ounces How did some corrupt officials profit from the Catholic Church?They sold land belonging to the church and kept the profits. They charged church members a fee to own a Bible at home. They required people to pay money to receive indulgences. They kept tithes for themselves instead of sending them to Rome. Worth 20 points please answer Rohit rode his bike 5 2/3 miles. Sarah rode her bike 5 1/5 miles. Write an inequality that compares the fractions. Explain in a sentence who rode a greater distance. Kokomochi is considering the launch of an advertising campaign for its latest dessert product, the Mini Mochi Munch. Kokomochi plans to spend $5.5 million on TV, radio, and print advertising this year for the campaign. The ads are expected to boost sales of the Mini Mochi Munch by $8.2 million this year and $6.2 million next year. In addition, the company expects that new consumers who try the Mini Mochi Munch will be more likely to try Kokomochi's other products. As a result, sales of other products are expected to rise by $1.8 million each year. Kokomochi's gross profit margin for the Mini Mochi Munch is 37%, and its gross profit margin averages 22% for all other products. The company's marginal corporate tax rate is 25% both this year and next year. Question 3a HomeworkAnswered What are the incremental earnings associated with the advertising campaign in its first year When all of the populations live together in the same area, what is it called? A. A community B. A niche C. An environment D. An eco system I need help with this What is the term used by the Egyptians that shows how important the Nile is to Egypt need help pleas fast How is the second article, "The Story of the Triangle Factory Fire," different from the first article? How are producers and consumers related?A. Both producers and consumers can be animals.B. Both producers and consumers make their own food.C. Both producers and consumers use energy that started from the sun.D. Both producers and consumers are plants. What is one disadvantage of MRI?A. Two-dimensional imagesB. High radiation dosesC. Dangerous magnetic fieldsD. Low resolution