A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.

Answers

Answer 1

Answer:

75 percent

Step-by-step explanation:

see the thing is

Answer 2

The probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

What is combination?

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.

Number of ways to choose 5 sedimentary from 7  sedimentary is,

[tex]^7C_5=\dfrac{7!}{(7-5)!5!}\\^7C_5=\dfrac{7\times6\times5!}{2!5!}\\^7C_5=\dfrac{7\times6}{2\times1}\\^7C_5=21[/tex]

There are total 23 rocks (9+7+7). Number of ways to choose 7 rocks from 23 rocks is,

[tex]^{23}C_5=\dfrac{23!}{(23-5)!5!}\\^{23}C_5=\dfrac{23!}{18!5!}\\^{23}C_5=33649[/tex]


Thus, the probability that exactly 5 are sedimentary is,

[tex]P=\dfrac{21}{33649}[/tex]

Hence, the probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

Learn more about the combination here;

https://brainly.com/question/17139330

#SPJ2


Related Questions

Find the discriminant of the quadratic equation.

2i2+6i=4

Answers

[tex] {2i}^{2} + 6i = 4 \\ {8i }^{2} = 4 \\ 8i = \sqrt[2]{4} \\ 8i = 2 \\ i = \frac{2}{8} \\ i = \frac{1}{4} [/tex]

- BRAINLIEST answerer

In a sequence of four numbers, the difference between each number is 7.
The sum of the four numbers is 6.
What are the numbers in the sequence?
You must show all your working.

Answers

Answer:

Step-by-step explanation:

Let x be the lowest number of the four

x  + (x + 7) + (x + 14) + (x + 21) = 6

4x + 42 = 6

4x = -36

x = -9

-9 + 7 = - 2

-9 + 14 = 5

-9 + 21 = 12

-9. -2, 5, 12

Mike can drive 345 miles on
15 gallons of gas. How many
miles per gallon does Mike
get?

Answers

Answer:

23

if you have 15 gallons of gas and it makes it 345 miles that is 345 divided by 15 which is 23 or 023

15x2 equals 30 34 - 30 equals 4 bring the 5 down you have 45 15x3 equals 45, 45 - 45 equals 0

Given slope of −25 with point (-5,3), write the linear equation in Slope-Intercept Form.

Answers

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 3=-25(-5)+b[/tex]

[tex]\\ \sf\longmapsto 3=125+b[/tex]

[tex]\\ \sf\longmapsto b=-122[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=-25x-122[/tex]

SOMEONE PLS HELP LIKE IM SO FAWKIN DESPRETE [Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• opposite of 4

Answers

answer 1:If on a number line, to the right of zero but if not and you’re trying to oppose it, it’s -1.

answer 2:since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.

the absolute value of 1 is 1

so it is 1 unit above sea level

|_._._._._._._._._._._._|

-5,-4,-3,-2,-1,0,1,2,3,4,5

Prepare a mixture of 300 mL of 70% alcohol and 200 mL of 95% alcohol. What is the percentage strength of the final solution?

Answers

Answer:

Step-by-step explanation:

300(0.70) + 200(0.95) = (300 + 200)x

                             400 = 500x

                                  x = 0.80

                                          80%

What is 2,000/3.67 estimate

Answers

Answer:

an estimate would be 2000/4 so it would be 500

Step-by-step explanation:

hope this helped <3

y>= -5x + 8 what is m?​

Answers

Answer:

The slope = -5

Step-by-step explanation:

y ≥ -5x + 8

Look at the problem as y = -5x + 8 and compare to the slope intercept form. The slope = -5

A car travels a constant speed of 45 km/h


3.4.1 The distance travelled in 6 hours?

3.4.2 The time it takes to travel 495 km?​

Answers

Answer:

1 hour

Step-by-step explanation:

because i divided

Find the equation of this line.

Answers

y=3/4x+1/4

I hope this helped :)

Answer:

Step-by-step explanation:

two points on the line are (-3,-2) and (5,4)

slope=(4-(-2))/(5-(-3)=(4+2)/(5+3)=6/8=3/4

eq. of line is

y+2=3/4(x+3)

4y+8=3x+9

4y=3x+9-8

4y=3x+1

y=3/4 x+1/4

If i have a silver necklece at the price of 26 $ and its 50 percent of what was the orginal price.

Answers

50%=100%/2

26*2 = 52

Original price is 52 dollas

Answer:

52

Step-by-step explanation:

please mark brainlest

Can someone answer these questions? Thank you!

Answers

Answer:

It's not a function

Because it's not a function, you don't have to answer b and c

There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?

Answers

Answer:

4 + 4 + 32 = 40 rows

Step-by-step explanation:

4/2 - (-2/3)

im confusedddd lol

Answers

Answer:

2.66666666667

or

266666666667/100000000000

Step-by-step explanation:

9514 1404 393

Answer:

  2 2/3

Step-by-step explanation:

The minus signs cancel, so the sum is ...

  4/2 +2/3

The improper fraction on the left reduces to 2, so this is ...

  2 +2/3

That sum is simply the mixed number 2 2/3.

click on the link i need help

Answers

Answer:

Uuuuh thats kind of suspicious, maybe you could post your question without  a link? But links are usually scams, so dont do that :)

1/7 divided by blank equals 14

Answers

Answer:

1/98

Step-by-step explanation:

Step 1: Translate statement into equation.

[tex]\frac{1}{7}/x = 14[/tex] [tex]\frac{1}{7x}=14[/tex]

Step 2: Multiply both sides by 7x.

[tex]\frac{1}{7x} * 7x = 14 * 7x[/tex] [tex]1 = 98x[/tex]

Step 3: Divide both sides by 98.

[tex]\frac{1}{98} =\frac{98x}{98}[/tex] [tex]x = \frac{1}{98}[/tex]

Step 4: Check if solution is correct.

[tex]\frac{1}{7}/\frac{1}{98}[/tex] [tex]\frac{1}{7}*98[/tex] [tex]14[/tex]

Therefore, the answer is 1/98.

A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher. For Saturday’s game, the coach has not yet determined which 9 players to use nor what the batting order will be, except that the pitcher will bat last. How many different batting orders at occur?

Answers

Answer::2,075,673,600 batting orders may occur.

Step-by-step explanation: A baseball team has 4 pitchers, who only pitch, and 12 other players, all of whom can play any position other then pitcher.

sarah had $40 at the beginning of the week. She babysat 3 days and by Saturday had $110. what is the percent increase

Answers

Answer:

175% increase

Step-by-step explanation:

What is: 17/21 + 1/3 - 5/7 as a fraction in simplest form?

(Giving brainliest, 5 stars and a thanks)

Answers

Answer:

3/7

Step-by-step explanation:

it is -1/21 as a fraction

Hemp help help help help help math math math

Answers

Answer:

x=25

Step-by-step explanation:

5x-5+  2x+10 =180

2x-5x = 10+5

3x= 15

x=5

5(5)-5+ 2(5) +10 =180

if 5c-2=3c, then 24c=

Answers

Answer:

24

Step-by-step explanation:

Step-by-step explanation:

24 is 3×8

so, when

3c = 5c-2

then

8×3c = 24c = 8×(5c-2) = 40c - 16

If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220

Answers

None of those are correct.

Please Help!
what is the resultant of the two vectors shown above?​

A. (9,1)
B. (1,-9)
C. (-1,9)
D. (5,5)

Answers

Answer:

D 5 5 it has to be the answer

How many palindromes between 1000 and 9999 inclusive are divisible by 9?

Answers

Palindromes are numbers that remain the same, when reversed.

There are 10 palindromes divisible by 9 between 1000 and 9999

To do this, we list the numbers divisible by 9 between 10 and 99.

The numbers are:

[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]

Flip these numbers

[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]

Combine corresponding numbers

[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Rewrite as:

[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

990 is less than 1000.

So, we have:

[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Count the numbers

[tex]\mathbf{n(AB) =10}[/tex]

Hence, there are 10 palindromes divisible by 9 between 1000 and 9999

Read more about palindromes at:

https://brainly.com/question/14076732

Find the probability if three dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)

Answers

Using the binomial distribution, it is found that there is a 0.3472 = 34.72% probability that it comes up five exactly once.

For each dice that is rolled, there are only two possible outcomes, either it comes up 5, or it does not. The probability of a dice coming up 5 is independent of any other dice, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

There are three throws, hence [tex]n = 3[/tex].A five is one of the six sides, hence [tex]p = \frac{1}{6} = 0.1667[/tex]

The probability that it comes up five exactly once is P(X = 1), hence:

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

[tex]P(X = 1) = C_{3,1}.(0.1667)^{1}.(0.8333)^{2} = 0.3472[/tex]

0.3472 = 34.72% probability that it comes up five exactly once.

A similar problem is given at https://brainly.com/question/24863377

Proxima Centauri, our nearest star except for the sun, is about 4·1013 km from Earth. Find to one decimal place its distance in parsecs.

Answers

Step-by-step explanation:

The conversion for parsecs into meters is

1 parsec (pc) = [tex]3.09×10^{16}\:\text {m}[/tex]

So if Proxima Centauri is [tex]4×10^{13}\:\text{m}[/tex] away, then in terms of parsecs, this distance is

[tex]4×10^{13}\:\text{m}×\left(\dfrac{1\:\text{parsec}}{3.09×10^{16}\:\text{m}}\right)[/tex]

[tex]\;\;\;\;\;= 1.2×10^{-3}\:\text{parsec}[/tex]

help me out guys !!!?​

Answers

Answer:

4

Step-by-step explanation:

yeah-ya............. right?

Answer:

16

Step-by-step explanation:

because :-

f(x) =[x+6] x=-10

=[-10+6]

=10+6

16

For every 3 minutes that Ginny plays on the computer, she plays outside for 10 minutes. What is the ratio of minutes Ginny plays on the computer to minutes she plays outside?​

Answers

Three to Ten  3:10

...................................................

Is this a function or not a function?

Answers

Answer:

This is indeed a function

1. 543.5 = _______ ft _________ in

Answers

Answer:

uważam że nie wiem ale bym wiedział tylko muszę wiedzieć

Other Questions
The perimeter of a regular heptagon is 21 m. How long is each side?5 m2 m3 m4 m Set the Append Only property to _____ to allow users to add data to a Long Text field but not to change or remove existing data. help me do this please :3 Rest of the options what does it mean legally??? Which statement tells the most important idea in paragraph 1?Colors that show different thicknesses in satellite images are valuablebits of information.Space archaeology is an important development for the discovery ofthe past.O Many archaeological sites on Earth are too hidden to ever be found.Satellites can take detailed images of Earth's surface from 400hundred miles above Please help fast if you can!!! Thanks (25 points)Derrick created a table of his observations from one trial of an investigation into whether a charged object will attract or repel an uncharged object.Which statement best explains an incorrect conclusion you might believe without repeated trials?Object Trial 1negatively charged attractpositively charged nothing A) Negatively charged objects repel uncharged objects. B) Negatively charged objects are attracted to uncharged objects. C) Positively charged objects do not attract or repel an uncharged object. D) Positively and negatively charged objects react differently to uncharged objects. Two sailboats started at the same location. Sailboat A traveled 5 miles west, thenturned 29 toward the north and continued for 8 miles. Sailboat B first went southfor 8 miles, then turned 51 toward the east and continued for 5 miles. Whichsailboat was farther from the starting point? Explain your reasoning. A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. Patients in the treatment group ate an average of 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patients in the control group ate an average of 27.1 grams of biscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that the average food intake (measured in grams of biscuits consumed) is different for the patients in the treatment group? Assume that conditions for inference are satisfied. A student has a sample of ocean water that they take to science class. what steps could be taken to determine to classify the ocean water as a suspension, solution, element, or compound?A) Examine the pH of the sample. If the pH is exactly neutral, it is a pure substance that is a compound.B) Evaporate the water. If salt is left behind, the sample is a mixture that can be defined as a solution.C) Let the sample settle. If the salt settles to the bottom, it is a mixture that is classified as a solution.D) Observe the diffraction of light as it moved through the sample. If light does not scatter, it is a pure substance that is elemental. What is photorespiration. Why was the russian government overthrown in 1917. Find the equation of the line where m = 1 and b = 8.y = 8 - xy = 8y = 8x + 1y = x + 8 12. Which is NOT a natural cause of extinction? A. DiseaseB. Catastrophic eventsC. Introduction of new speciesD. Competition due to overpopulation24. Which is NOT true about energy transformation? A. Energy is essential to all organisms.B. Food contains energy that is needed by all organism.C. Heterotrophs feed on autotrophs and other heterotrophs to gain energy.D. Autotrophs do not need energy because they can produce their own food.23. Which is the CORRECT sequence of events in cellular respiration? A. Glycolysis - fermentation - Krebs CycleB. Glycolysis - Krebs Cycle - Electron TransportC. Krebs Cycle - Electron Transport - GlycolysisD. Krebs Cycle - Glycolysis - Electron Transport2. In humans there are four types of blood; type A, type B, type AB and type O. A person with a genotype of IaIa or Iai will have blood type_____? A. AB. BC. OD. AB4. A couple has four children, one son and three daughters. What is the chance that the fifth child will be a daughter? A. B. C. D. 1/522. Cellular respiration releases energy by breaking down_______. A. ATPB. waterC. carbon dioxideD. food molecules5. A man is colorblind but there is no history of this disorder in his wifes family. What is the chance that their son is colorblind? A. 0B. 25%C. 75%D. 100%25. Which BEST summarizes the process of respiration? A. Water + Carbon Dioxide ( light) sugar + oxygenB. Sugar + Oxygen (enzymes) water+ carbon dioxide +energyC. Water + Sugar ( light ) carbon dioxide + oxygenD. Oxygen + Water (enzymes) sugar + carbon dioxide + energy1. A father with blood type AB and a mother with blood type O will probably produce offspring with a blood type ___. *A. AB. BC. A or BD.AB or O6. What is a sex- linked trait that results in the inability to have normal blood clotting? A. baldnessB. color blindnessC. diabetesD. hemophilia11. What causes species extinction? A. Pollution and reforestationB. Reforestation and carbon emissionC. climate change and over consumptionD. conservation and consume 18. The pigment molecules responsible for photosynthesis are located in the _______? *A. MitochondriaB. Cytoplasm of the cellC. Stroma of the chloroplastsD. Thylakoid membrane of the chloroplasts13. Which part of a leaf contains most of the chloroplasts? A. Lower epidermisB. Palisade mesophyllC. Spongy mesophyllD. Upper epidermis19. At optimum light intensity, which atmospheric gas most directly influences the rate of photosynthesis? A. NitrogenB. OxygenC. SulfurD. Carbon Dioxide14. What part of the leaf is this tiny opening in the lower epidermis which makes it rough and responsible for the entrance and exit of gases in plants? A. xylemB. phloemC. stomataD. guard cells16. In which part of the chloroplast does light reactions of photosynthesis takes place?A. GranaB. StromaC. Inner membraneD. Outer membrane17. Which is NOT needed to make food in plants? A. FlowerB. SunlightC. ChlorophyllD. Carbon Dioxid8. Color-blindness is inherited as a sex-linked recessive trait. If a normal woman, carrier of the gene marries a man with normal color vision. What would be the expected phenotype of their children with reference to color-blindness? A. All color-blindB. 2 carriers, 2 color-blindC. 1 normal, 3 carriersD. 2 normal, 1 carrier, 1 color-blind3. Blood type O has both antibodies A and antibodies B in the plasma but has no antigen on its erythrocytes or red blood cells. That is why Blood Type O is considered UNIVERSAL______. A. BloodB. DonorC. MarkerD. Recipient7. Melvins thinning hair is like that of his father. This characteristic of baldness is due toA. multiple allelesB. sex-linkedC. sex-influencedD. sex-limited What would have happened if the south didnt join the us after the civil war? Children's self-esteem in the later part of elementary school is ______ it is in the earlier part. Multiple choice question. HELP PLZ BEFORE I FAIL! 7. Find the rate of change from the table.024136-10205080 A power plant running at 31 % efficiency generates 270 MW of electric power. Part A At what rate (in MW) is heat energy exhausted to the river that cools the plant freedom of speech is protected under an amendment to what governing document?