Gravel is graded by how fine the stones are. For a particular grade of gravel, there are 26 stones with a diameter of 0.75 inches or greater per one cubic yard of gravel, on average. (a) We would like to determine the probability of finding at most two stones with a diameter of 0.75 inches or greater in one cubic foot of the same gravel. Which of the following is the correct probability statement? P(x < 2) PX S2) P(x > 2) P(X22) (b) We would like to determine the probability of finding at most two stones with a diameter of 0.75 inches or greater in one cubic foot of the same gravel. (1 cubic yard = 27 cubic feet. Round your answer to three decimal places.) 0.960 HE -0.963 27

Answers

Answer 1

Answer:

p(x≤2)

0.926

Step-by-step explanation:

1. The probability of getting 2 stones with a diameter of 0.75 or greater can be given as

P(x≤2)

2. We have λ = 26/27

= 0.963 per cubic foot

We use the poisson distribution here;

P(x) = e^-λ(Rλ)^x/x!

P(x≤2) = p(x=0)+p(x=1)+p(x=2)

= e^-0.963 + e^-0.963(0.963) + e^-0.963(0.963)²/2!

= 0.3817+0.3675+0.1769

= 0.926


Related Questions

Round each mixed number to the nearest whole number and then estimate the difference.
9 5/12- 3 4/5

Answers

9 5/12- 3 4/5

113/12-18/5

(113×5-18×12)/60

349/60

5 49/60

what is the y-intercept of this quadratic?

Answers

Answer:

(0,8)

Step-by-step explanation:

The line crosses the y axis at (0,8)

What is the factored form of the polynomial?
x² - 122+27?
(x + 4)(x + 3)
(x - 4)(x+3)
(x + 9)(x + 3)
O (x - 9)(x-3)

Answers

Answer:

x^2-95

Step-by-step explanation:

Answer:

(x - 9)(x - 3).

Step-by-step explanation:

x^2 - 12x + 27.

We need 2 numbers whose product is +27 and whose sum is -12.

They are -9 and -3 so the answer is:

(x - 9)(x - 3).

Find the surface area of the following figure.

Answers

Answer:

[tex]\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.[/tex]

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

[tex]\qquad\boxed{\sf Area_{(square)}= side^2}[/tex]

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}[/tex]

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

[tex]\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}[/tex]

[tex]\rule{200}2[/tex]

Hence the TSA of cuboid in terms of lenght and breadth is :-

[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}[/tex]

What is the slope of the line that goes through (11,2) and (8,-10)

Answers

Slope = change in y over change in x

So,

M = 12/3 = 4

The two-way table shows the ages of the players on different soccer teams.

Answers

Answer:

3rd one down is the answer

15x = 29x-24. What kind of angle is this

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

some body help me for find the answer thank you

Answers

Answer:

Step-by-step explanation:

As similar triangle hence their correspondiing sides will be proportional,

let the side we want to know is x,

18/x = 11.2/40

x = 18*40/11.2

x= 64.3

Someone tell me the answer and how y’all day been

Answers

Answer:

I believe it is e.

Step-by-step explanation:

2/5 equals 0.4, which is the same as 0.40

Step-by-step explanation:

please help i’ll mark brainly

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Answer:

C i think

Step-by-step explanation:

Figure ABCD is a rhombus. Find the value of x. B с 4x + 2 E 3x + 5 A D x = [?] Enter​

Answers

If figure ABCD is a rhombus, the value of x is 3

How to determine the value

It is important to note the properties of a rhombus, they include;

All of the sides of a rhombus are congruentOpposite sides are said to be parallelThe opposite angles are equalThe diagonals of a rhombus bisect each other at right angles, that is, 90 degreesThe diagonals bisect the angles of a rhombusThe sum of two adjacent angles are supplementary, that is, they sum up to 180 degrees

Based on the information given, we have the angles are;

4x + 23x + 5

Note that opposite sides of a rhombus are equal or congruent.

Then, we have;

4x + 2 = 3x + 5

collect like terms

4x - 3x = 5 - 2

Subtract the like terms

x = 3

Hence, the value is 3

Learn more about rhombus here:

https://brainly.com/question/26154016

#SPJ1

10 x to the 5th power

Answers

Answer:

I am on my phone and this is kinda confusing and I don't know if your asking 10x^5 or 10^5 but the answer would be

100,000 if it is 10 to the 5th power

If it is 10x to the 5th power then it's 100,000x

Step-by-step explanation:

I hope that helps :) explanation and answer is up!

Answer:

100000x

Step-by-step explanation:

When you do anything to a positve power, the decimal point goes to the right, if its negative to the left

Solve for X

Can you please help

Answers

Answer:

x = 10

Step-by-step explanation:

[tex]5x + 19 = 7x - 1 \\ (corresponding \: \angle s) \\ \\ 5x - 7x = - 1 - 19 \\ \\ - 2x = - 20 \\ \\x = \frac{ - 20}{ - 2} \\ \\ x = 10[/tex]

bracelet: $84, 18% off what is the new price?

Answers

It will be 68.88 dollars

Answer:

$15.12

Step-by-step explanation:

You need to just search u p 18% of 84 or 84% of 18

A television cost $300.What is the total cost if the sales tax is 6.5%?​

Answers

Answer:

319.5

Step-by-step explanation:

6.5% x 300 = 0.065 x 300 = 19.5

300+ 19.5 = 319.5

Answer:

319.50

Step-by-step explanation:

What would happen to the graph of a line if the equation y=1/3x + 1 is
changed to y = -3x+ 1?​

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer would be B.

Solve the equation -2(x+5)=4

Answers

Answer:-7

Step-by-step explanation:

-2(-7+5)

Distributive property

-14-10

-24

-24/4=-7

x=-7 hope this helps good luck

A typist can type 1800 words in 1 hour.Find the number of words that he can type per minute​

Answers

Answer:

1800 words = 1 hour

1800 words = 60 minutes

Divide by 60: 30 words per minute.

Let me know if this helps!

Answer:

The other person is correct

Give them brainliest :)

Step-by-step explanation:

Posted on: 2-24-2021 at 8:55am

Positive quote of the day: “Every day may not be good... but there's something good in every day.”

Identify the end behavior that goes with each function.

Answers

Answer:

Step-by-step explanation:

Question

Identify the end behavior that goes with each function.

Hold on, our servers are swamped. Wait for your answer to fully load.


Tammy saved nickels and pennies in a jar. The ratio of nickels to pennies was 2 to 5. If there were 70 nickels in the jar, how many coins were there in all?

Answers

I also need help with this.

A mechanical engineer is creating a new composite carbon fiber material made from two different materials. The strength of the carbon fiber material depends on how much pressure it can withstand, and it follows a standard normal distribution. The new carbon fiber material will be slated for research and development purposes if it can withstand more than 2.15 standard deviations above the mean of pressure compared to the individual materials. Fiber material that withstand less than 2.15 standard deviations above the mean of pressure when compared to the individual materials are not of research interest. What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials

Answers

Answer:

0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials

Step-by-step explanation:

When the distribution is normal, we use 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.

What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials

This is the pvalue of Z = 2.15.

Z = 2.15 has a pvalue of 0.9842

0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials

Adding Positive & Negative Integers

(+3) + (+2) =

Answers

Answer:

5

Step-by-step explanation:

(+3)+(+2) = 3+2 = 5.

Answer:

5

Step-by-step explanation:

(+3)+(+2)

Add 3 and 2 to get 5.

5

Answer help need answer now plz help

Answers

Answer:

I think the answer is A

maybe it's right

The following data represent highway fuel consumption in miles per gallon (mpg) for a random sample of 55 models of passenger cars (Source: Environmental Protection Agency). 30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Midpoint Freqeny Relative |Cumulative (c) Draw a histogram.

Answers

Answer:

11  ;

Step-by-step explanation:

Given the data:

30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31

Number of classes = 5

Class width : Range / number of classes

Class width = (maximum - minimum) / 5

Class width = (52 - 2) / 5 = 50/5 = 10 + 1 = 11

For the frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies and histogram

Kindly check attached picture

Compare 8 and -11. Which of the following is true?
O A. 18> T-111 and 8 < -11
B. 188 = 1-11 and 8 >-11
C. 18[<1-11 and 8 >-11
D. 18] > 1-11 and 8 >-11
please help

Answers

B is true because if you calculate them you’ll know why +173 +28

find the mean of the set of the numbers given 25,20,23,22​

Answers

Answer:

The Mean of the set of the numbers x⁻ = 22.5

Step-by-step explanation:

Given a set of the numbers

25,20,23,22

Mean of the given data

                        ∑x/n

Mean of the given data

                   [tex]\frac{25+20+23+22}{4} = \frac{90}{4} = 22.5[/tex]

The Mean of the set of the numbers x⁻ = 22.5

Find P 20 of the following arithmetic sequence: 206, 212, 218, 224....
State:
Po =
d =
P20 =

Answers

Answer:

[tex]p_{20} = 1.25528[/tex]

P₀ = 206 and difference d = 6

Step-by-step explanation:

Step(i):-

Given that the arithmetic sequence

                 206,212,218,224,.....

P₀ = 206 and difference d = 212-206 = 6

The [tex]n^{th}[/tex] term of the sequence

   [tex]t_{n} = ar^{n-1}[/tex]

Step(ii):-

The [tex]n^{th}[/tex] term of the sequence

   [tex]P_{n} = ar^{n-1}[/tex]

Put n=20

[tex]P_{20} = 206 ( 6) ^{20-1}[/tex]

[tex]p_{20} = 1.25528[/tex]


The usual price of a sweatshirt is $18, what is its sale price?

Answers

Answer:

I feel like there is more to that question can you put the whole question

Will give Brainliest What is the graph of the equation y=-1/4+2?

Answers

Answer:

Step-by-step explanation:

Here's the graph

Does that help?

Answer: answer in picture

Step-by-step explanation:

helphelphelphelphelphelphelphelphelphelphelphelphelp

Answers

Step-by-step explanation:

just subtract everything

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