Mathematics College

Solve the problem. Use the Central Limit Theorem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches

Answers

Answer 1

Answer:

0.91924

Step-by-step explanation:

Given that :

A normal distribution has ;

Mean (m) = 109.0 inches

Standard deviation (σ) = 10 inches

Sample size (n) = 25

Probability that randomly picked years is less than 111.8 inches

Using the Zscore relation :

Zscore = (x - m) / (σ/√n)

x = score = 111.8 inches

Zscore = (111.8 - 109.0) / (10/√25)

Zscore = (2.8) / (10/5)

Zscore = 2.8 / 2

Zscore = 1.4

P(Z < 1.4) = 0.91924 ( using z probability calculator)

P(Z < 1.4) = 0.91924

Related Questions


A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1380 ft tall?

Answers

1380/230 = 6 inches in the scale drawing

Samantha is training for a race. The distances of her training runs form an arithmetic sequence. She runs 1 mi the first day and 2 mi the seventh day.

a. What is the explicit definition for this sequence?



b. How far does she run on day 19?

Answers

B Because how far does she runs on day 19

Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9

Answers

Answer:

The blue liquid is toxic

Step-by-step explanation:

From the calculations I have done and attached to this problem

Null hypothesis:

H0 : p1 <= p2

Alternate hypothesis:

H1 : p1 > p2

^p1 = 0.925

^p2 = 0.2250

^P = (x1 + x2)/(n1+n2)

= 0.575

After calculating, I got test statistics = 6.33 ( check attachment)

P(z > 6.33) = 0.0000

In conclusion, our pvalue has been found to be less than the level of significance 0.05 so we reject null hypothesis and accept that we have enough sample evidence that the blue liquid is more toxic in comparison to white one.

Please check attachment for calculated test statistics.

Anyone willing to answer this?

Answers

Answer:

1. perpendicular; the opposite?

2. Parallel; the slopes are the same?

Step-by-step explanation:

Just use Math

way

Face no more through a garden and travels 1 1/8 meters in 1 1/2 minutes what is the snail’s rate in minutes per meter? HELP ME I NEED IT ASAP

Answers

Answer:

4/3 per minute

Step-by-step explanation:

74,626,831.08 ROUNDED TO THE TENTH.

Answers

Answer:

74,626,831.1

Step-by-step explanation:

You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.

does anyone know the answer to this question?

consider the sequence below. What are the next three terms in the sequence?
3, 7, 11, 15,....

Answers

It goes plus 4 every time, so the next three terms are 19, 23, and 27

This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?

Answers

Answer:

(0,-26)

Step-by-step explanation:

0 -26

17 -39

34 -52

51 -65

68 -78

Wayne created a dried fruit mix to use on his cereal this week. He
used 7 spoonfuls of raisins for every 3 spoonfuls of dried cherries.
If Wayne used 14 spoonfuls of raisins, how many spoonfuls of dried
cherries did he use?

Answers

Answer:

6

Step-by-step explanation:

i had this same problem :)

Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?

Answers

Answer:

2 3/5 inches in a year

Step-by-step explanation:

28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5

which number line and equation show how to find the distance from -2 to 5?

Answers

Answer:B

Step-by-step explanation:

Answer: |2-5|

Step-by-step explanation:

That is the CORRECT answer. I swear ONG

1. Let f(x) be defined by the linear function graphed below and
g(x) = x2 - 9x + 14.
I
A. Describe the right end behavior of g(x).

Answers

Answer:

Step-by-step explanation:

A). g(x) = x² - 9x + 14

     Since coefficient of highest degree term (x²) is positive, parabola will open upwards.

    For any parabola opening upwards,

    Right end behavior,

    y → ∞ as x → ∞

B). Let the equation of the linear function is,

    f(x) = mx + b

    Where m = slope of the function

    b = y-intercept

    From the graph attached,

    Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-(2+1)}{(0+1)}[/tex]

    m = -3

    b = -1

    Therefore, function 'f' will be,

    f(x) = (-3)x - 1

    f(x) = -3x - 1    

    g(x) = x² - 9x + 14

           = x² - 7x - 2x + 14

           = x(x - 7) - 2(x - 7)

           = (x - 2)(x - 7)

    If h(x) = f(x)g(x)

    h(x) = -(3x + 1)(x -2)(x - 7)

    For h(x) ≥ 0

    -(3x + 1)(x - 2)(x - 7) ≥ 0

     [tex]x\leq -\frac{1}{3}[/tex] Or 2 ≤ x ≤ 7

    Therefore, for 2 ≤ x ≤ 7, h(x) ≥ 0

C). If k(x) = [tex]\frac{h(x)}{(x-2)}[/tex]

    k(x) = [tex]\frac{-(3x+1)(x-2)(x-7)}{(x-2)}[/tex]

    k(x) = -(3x + 1)(x - 7)

    For k(x) = -56

    -(3x + 1)(x - 7) = -56

     3x² -20x - 7 = 56

     3x² - 20x - 63 = 0

     3x² - 27x + 7x - 63 = 0

     3x(x - 9) + 7(x - 9) = 0

     (3x + 7)(x - 9) = 0

     [tex]x=-\frac{7}{3},9[/tex]

What is |-5 x 6 + 7|?

23
⊝

-65
⊝

-37
⊝

37

Answers

Answer:

your answer is A

Step-by-step explanation:

The answer is positive 23. This is because -5 times 6 is -30 and if you add 7 it will be -23 but it is is the absolute value so your answer will be positive no matter what! Hope this helps! :))))))))))

Simplify each of the following powers of i.
i^99

Answers

Answer:

i= sqrt (-1)

If the power is

- even then the value could be -1 or 1

-odd then the value could be -i or i

99 is odd so now is

-i if (99+1)/2 is even or is

i is (99+1)/2 is odd

Now check (99+1)/2= 100/2= 50,

50 is even so

i^99 = -i

Step-by-step explanation:

Give the person brainliest

where does 17 lie between

Answers

Between 16 and 18. Hope this helps

find the value of x.
The answer is 13, but I need to show my work

Thank you guys

Answers

Answer:

Know the properties of vertical angles.

Step-by-step explanation:

Vertical angles are equal to each other, so we must make them equal to each other in an equation:

6x+2=80

6x=78

x=13

Convert 2∘F to ∘C round to one decimal place

Answers

Answer:

-16.7

Step-by-step explanation:

(2°F − 32) × 5/9 = -16.7°C

Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars. Which expression represents her gross pay each day?

5h+8
8h+5
7h+11.2
11.2h+7

Answers

Answer:

the answer is A.

Step-by-step explanation:

The 7 work days is represented by a linear equation

The expression that represents her gross pay each day is 5h + 8

What are linear equations?

Linear equations are equations that have constant rates

How to determine the linear equation

The earning at the end of 7 work days is represented as:

35h + 56

To calculate the gross pay, each day:

We divided the total earnings by 7

So, we have:

[tex]Gross =\frac{35h + 56}{7}[/tex]

Evaluate the quotient

[tex]Gross =5h + 8[/tex]

Hence, the expression that represents her gross pay each day is 5h + 8

Read more about linear equations at:

https://brainly.com/question/14323743

emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?

Answers

Answer:

25.5 per hour

Step-by-step explanation:

497.25/19.5

Answer:

497.25 devided by 19.5= $25.5 per hour

Step-by-step explanation:

is 13.48 irrational or rational? ​

Answers

Answer:

It is irrational

Step-by-step explanation:

Rational numbers do not have decimals.

It’s rational and rational numbers can have decimals.

will mark brainliest:) helppppp -7x + y = -19 -2x+ 3y = -19 solve the system of equations

Answers

Answer:

X=2, Y=-15

Step-by-step explanation:

-7x+y=-19

-2x+3y=-19

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

-3(-7x+y)=-19

   -2x+3y=-19

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

21x-3y=57

-2x+3y=-19

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

19x     = 38

19x/19=38/19

x=2

now plug 2 into x of the second equation to get y=-15

Find three consecutive even integers whose sum is -42

Answers

Answer:

Three consecutive even integers are x, x+2, x+4.

Step-by-step explanation:

Their sum is x+x+2+x+4 = 3x+6.

Hope this helped! <3

6x+2=3(3x+14)
set notation

Answers

Answer:

x= -40/3

Step-by-step explanation:

How to estimate the sum of using different methods. 187,176,154,207

Answers

Answer:

tuff

guess you will fail

Step-by-step explanation:

Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)

Answers

Answer:

y=-8

Step-by-step explanation:

First find the slope which is rise over run which equals (y2-y1)/(x2-x1)

(-8-(-8))/(9-(-2))

(-8+8)/(9+2)

0/11

slope = 0

Now you have the slope of 0. You can plug in one of the given point (x,y) to find b

-8=0(9)+b

-8=b

Combine everything

y=0x-8

y=-8

PLZZ ANSWER THE QUESTION ​

Answers

Answer:

c

Step-by-step explanation:

y = mx + b

”m” is the slope, so the slope is -2

”b” is the y - intercept, so the y - intercept is (0 , 1)

Which net represents this triangular prism?

Answers

Hanap ka nalang sa google vhie d ko den alam eh

Answer:

If you talking about iready. It's the first pink one.

Step-by-step explanation:

Which equation represents a line which is parallel
to the line y
=
-2 +62

Answers

the answer is hard to find find a hint

Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2)

A) f(x) = 3x + 1
B) f(x) = 3x - 1
C) f(x) = 8x + 10
D) f(x) = 8x - 10

Answers

your answer would be B

This is due soon today can somebody help?
35 points (if they're all right)​ comment if you don't know it

Answers

Answer:

1) P(1,0)Q(-2,3)R(-3,3)S(3,2)

2) (3,4)

3) (0,-4)

4) (1,2)

Step-by-step explanation:

Other Questions
In the question How does pineapple consumption affect the number of digestive bacteria?, pineapple consumption isA) the control group B) independent VariableC) dependent variable D) experimental group Here is the story and the questions are below it15 points each!!! plsIn South Dakota, Pine Ridge Indian Reservation is as big as Delaware and Rhode Island combined. It has some of the highest poverty rates in the United States. For three years, it has also hosted shows with music written for an orchestra by high school students."It's really a great thing to see these kids, and the pride that the reservation has in having these kids be stars," said David Gier. He is the music leader of the South Dakota Symphony Orchestra.The yearly music academy is one part of the Lakota Music Project. It's a program developed with the orchestra and musicians of the Lakota Native American tribe. The goal is to create cultural cooperation, teaching people about the Lakota and the orchestra."Through music, we are able to show a side of us that nobody gets to see," said Emmanuel Black Bear, a singer. He has been part of the Lakota Music Project since 2009. The native people have "a rich culture," he said. "I wanted to be a part of something where we could show the positive side of our people through music."Black Bear is bringing the Lakota Music Project to Washington, D.C. Native flute player Bryan Akipa and nine members of the South Dakota Symphony are also going. In October, Black Bear will perform at the Smithsonian's National Museum of the American Indian and at Washington National Cathedral. It is for a festival hosted by the PostClassical Ensemble. The goal is to show Native American influences on American music.Matching Two Different Types Of Music TogetherThe Lakota Music Project "deserves to be more widely known," said Joseph Horowitz. He is the PostClassical Ensemble's leader.The project began in 2005. It was soon after Gier started with the orchestra. He wanted to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.Gier approached local leaders and experts. One was Ronnie Theisz, a writer of books on Lakota culture. The two men talked about creating a project. An idea came one snowy evening at Pine Ridge. Some of the orchestra's musicians met with the Porcupine Singers, a drumming circle on the reservation. They played music for each other.Gier said the keeper of the drum talked about singing old songs and passing on tradition to younger people. It was the main thing both groups shared.There are plenty of differences, too. The timing of the two types of music is different, said Black Bear. "In the beginning, it was kind of difficult to match them together."Hearing The Music Instead Of Trying To Change ItThe first Lakota Music Project tour, in 2009, set themes for the concerts. Theisz became a leader on the project. He suggested grouping the concert around love and death, joy and sadness, with music from each culture. The second half had new works on Lakota themes. The Lakota Music Project is coming to Washington because of Horowitz's support of the Indianist movement. It was in the early 1900s. American composers wrote music based on Native American themes. Horowitz calls it "a major American cultural event that's been totally forgotten."From the Lakota point of view, however, the "Indianist" movement inappropriately uses Native American customs. It's based on a misunderstanding of Native traditions, they believe."Even when they loved to take source music from different Indian tribes," Theisz said of the Indianist composers, "they didn't appreciate it." They wanted to try to improve it, he said."We're trying to counter that," he said. "Hearing the real music is part of the project."The Lakota Music Project's focus remains on building bridges through music."It's just human connection," Gier said, "and feeling like we can make a difference."Question 1Refer to the Newsela article "The Lakota Tribe Wants to Educate People Through Music Project."Part AWhat is an implied idea in the article??A. The Lakota Music Project seeks to improve upon the music of different Indian tribes.B. The goal of the Lakota Music Project is to emphasize the differences between Native American music and European music.C. The Lakota Music Project is a product of the Indianist movement.D. An outcome of the Lakota Music Project is that people of different cultures learn how much they have in common.Question 2Part BWhich two sentences from the text that best support the answer in Part A?A. The Lakota Music Project's focus remains on building bridges through music."B. [The Indianist movement] flourished in the early 20th century as American composers based works on Native American themes.C. "Native music is more freestyle," said Black Bear, who has been part of the Lakota Music Project since 2009.D. "Its goal is to spotlight Native American influences on American classical music." All good experiments should be... 10 and 11.Is this relation a function?367 6 5 4532.1.-2 -1-11 2 3 4g6 78x8-2-3Yes, this is a function. It does pass the vertical line test.No, this is not a function. It does NOT pass the vertical line test.11What is the independent variable of the following statement?Lukegoes to the store to buy some candy, The more money he has, the more candy he will buy.The amount of candy he buysThe amount of money he hasThe store he goes toThe type of money he has please help! i need a circular flow model for amazon done and i have no idea how to do it! if somebody can make one for me it will be greatly appreciated!! A small farmer who did not own land was called a ________________. Group of answer choices peasant knight lord noble To all math experts here. Please answer it. simply the following 2m5m7m Emily realized the sentence contains a pronoun error. Which sentence below corrects the error? A.The pack of wolves returned to his or her den. B.The pack of wolves returned to his den. C.The pack of wolves returned to our den. D.The pack of wolves returned to its den. Making fun of someone in the hall by making rude comment by making rude commentsverbal abuse or social bullying 8.) What country did Germany attack its way to France? Hurry plzzzz >_ The cat is sleeping.The dog is sleeping.Combine the sentences into one sentence. I WILL GIVE BRAINLIEST IF U HELP ME AND I MEAN ACTUALLY HELPEach year, the United States' federal costs exceed the anticipated national budget. In fact the last time that the United States government was able to end a fiscal year without accruing more debt was in 1960. This means that due to excessive spending and compounding interest accrued, the United States' national debt has escalated astronomically over the past several decades. The table shown below lists the recorded U.S. national debt amounts, written in standard form, for each decade, from 1960 to the year 2010.Year U.S. national debt (in U.S. dollars)1960 $286,330,760,848.371970 $370,918,706,949.931980 $907,701,000,000.001990 $3,233,313,451,777.252000 $5,674,178,209,886.862010 $13,561,623,030,891.79For each decade, convert the U.S. national debt amount to a number in scientific notation, rounded to the nearest hundred millions dollars. Enter in numerical answers only.Year U.S. national debt (in U.S. dollars)written in standard form U.S. national debt (in U.S. dollars)written in scientific notation1960 $286,330,760,848.37 $2.863 10 1970 $370,918,706,949.93 $3.709 10 1980 $907,701,000,000.00 $9.077 10 1990 $3,233,313,451,777.25 $3.2333 10 2000 $5,674,178,209,886.86 $5.6742 10 2010 $13,561,623,030,891.79 $1.35616 10 t a sales volume of 36,500 units, Peres Corporation's sales commissions (a cost that is variable with respect to sales volume) total $576,700. To the nearest whole dollar, what should be the total sales commissions at a sales volume of 35,000 units? (Assume that this sales volume is within the relevant range. What the things aid in the movement of the lymph? Hiii can someone please pleaseeee help me with this. I would really appreciate it! R. J. Graziano Wholesale Corp. uses the LIFO method of inventory costing. In the current year, profit at R. J. Graziano is running unusually high. The corporate tax rate is also high this year, but it is scheduled to decline significantly next year. In an effort to lower the current year's net income and to take advantage of the changing income tax rate, the president of R. J. Graziano Wholesale instructs the plant accountant to recommend to the purchasing department a large purchase of inventory for delivery 3 days before the end of the year. The price of the inventory to be purchased has doubled during the year, and the purchase will represent a major portion of the ending inventory value.Required:a. What is the effect of this transaction on this year's and next year's income statement and income tax expense? Why?b. If R. J. Graziano Wholesale had been using the FIFO method of inventory costing, would the president give the same directive? c. Should the plant accountant order the inventory purchase to lower income? What are the ethical implications of this order? ice cream store marks up price by 16% how much of original price was 1.25 Which statement is TRUE? A) The area of the blue circle is greater than the sum of the areas of the green square and black circle. B) The area of the blue circle is less than the sum of the areas of the green square and black circle. C) The area of the blue circle is equal to the sum of the areas of the green square and black circle. D) The area of the blue circle is twice the sum of the areas of the green square and black circle.