Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a colony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. The list of random numbers simulates the out comes of 4 colonies . Based On the simulation in 6 trails . what is the probability that exactly half of the colonies will thrive.
4285 6903 3829 7871 2868 5137

Answers

Answer 1

Answer:

The probability that exactly half of the colonies will thrive = (1/3) = 0.3333

Step-by-step explanation:

The list of random numbers simulates the out comes of 4 colonies.

Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?

The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.

Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.

The 6 trials are given as

4285; 3 colonies thrive, 1 doesn't.

6903; 3 colonies thrive, 1 doesn't.

3829; 2 colonies thrive, 2 don't.

7871; 1 colony thrives, 3 don't.

2868; 2 colonies thrive, 2 don't.

5137; 3 colonies thrive, 1 doesn't.

The number of trials where exactly 2 colonies thrive = 2

The total number of trials = 6

The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333

Hope this Helps!!!


Related Questions

What is the mean absolute deviation of 24,30,36,42,48,54

Answers

39.
Add all the numbers together, and divide by how many numbers there are!

I bought a box from the post office that has a volume of 24 cubic centimeters,
Which of the following could be the dimensions of my box?
A. 8cm long, 1cm wide, 3cm high
B.10cm long, 4cm wide, 10cm high
C. 2cm long, 2cm wide, 6cm high

Answers

Answer:

A) Is the answer

Step-by-step explanation:

vol.=LxBxH

8x1x3=24

The dimensions that could be the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

Options A and C are the correct answer.

We have,

To determine if the given dimensions could represent the box with a volume of 24 cubic centimeters, calculate the volume for each option and check if it matches the given volume.

Let's calculate the volume for each option:

Option A:

Length = 8 cm, Width = 1 cm, Height = 3 cm

Volume = Length × Width × Height

Volume = 8 cm × 1 cm × 3 cm

Volume = 24 cubic cm

Option A could be the dimensions of the box

Option B:

Length = 10 cm, Width = 4 cm, Height = 10 cm

Volume = Length × Width × Height

Volume = 10 cm × 4 cm × 10 cm

Volume = 400 cubic cm

Option B does not have a volume of 24 cubic cm.

Option C:

Length = 2 cm, Width = 2 cm, Height = 6 cm

Volume = Length × Width × Height

Volume = 2 cm × 2 cm × 6 cm

Volume = 24 cubic cm

Option C could be the dimensions of the box.

Therefore,

The dimensions of the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

Learn more about volume of box here:

https://brainly.com/question/32714484

#SPJ4

Find the interquartile range (IQR) of the data plot below

Answers

Answer:

3.5

Step-by-step explanation:

0 1 1 3 3 3 4 5 7

median= 3

Q1= 1

Q3= 4.5

4.5-1= 3.5

Answer:3.5

0,1,1,3,3,3,4,5,7

can someone help with this please,, also explain if you can..

Answers

Answer:

story 1

Step-by-step explanation:

because it says 2 higher than -2 so -2+2 is 0

what is the solution of this system of linear equations? y=2x-3 2x=y-3
a. infinitely many solutions
b. (0, -3)
c. (0,0)
d. no solution

Answers

Answer:

d. no solution

Step-by-step explanation:

y=2x-3

2x=y-3

y=2x+3

Since these are two distinct parallel lines (same slope), they will never meet. Hence, no solution

Answer:

No solution :)

Step-by-step explanation:

Sarkis wants to draw a triangle with sides measuring 4 ft, 10 ft, and 16 ft. Which is true about Sarkis’s plan?

Answers

Answer: Sarkis cannot draw a triangle with these side lengths.

Step-by-step explanation: The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the other side.

The two smallest sides are 4 and 10; their sum is 14.  This is shorter than the longest side, so these will not make a triangle.

Answer:

a

Step-by-step explanation:

The point (-1,10) lies in which quadrant

Answers

Answer:

the second quadrant.

Step-by-step explanation:

Answer:

Look up a grid and find out. If you don’t know how to number them search that up too and tell you teacher he or she or they are failing you

Step-by-step explanation:

Ahah lol

Hey, I need some help with this:
Give an example of what an inverse operation is and how they are used in solving equations

Answers

An inverse operation is writing the opposite sign to another sign

Inverse operations are an operation that undoes each other. For example, addition and subtraction, multiplication and division, squares and square roots.

For example, we have the equation:

2 + 2 = 4

The inverse of this equation is:

4 - 2 = 2

Best of Luck!

it me again I need help

Answers

Answer:

85%

Step-by-step explanation:

He  hit it 17/20

We want that as a percent

Multiply by 5/5

17/20*5/5 = 85/100

Percent means out of 100

85%

Answer:

85

Step-by-step explanation:

P(hit) = 17/20 × 100

85%

multiply. write the result in scientific notation. (2.3x10^1)(7x10^6)

Answers

[tex] (2.3 \times 10^1) \times (7 \times 10^6)[/tex]

[tex](2.3 \times 7) \times (1 {0}^{1} \times {10}^{6} )[/tex]

[tex]16.1 \times {10}^{1 + 6} [/tex]

[tex]16.1 \times {10}^{7} [/tex]

The product of the given numbers is 1.61 × 10⁸.

What is meant by Scientific Notation?

Scientific notation is a way of writing a large number or small number with many digits in a simpler form using the power of 10.

For example, 30,000 can be written as 3 × 10⁴.

Given that,

We have to multiply the numbers (2.3 x 10¹) (7 x 10⁶).

The numbers in scientific notation uses exponents.

So we have to use the product rule of exponents here.

(2.3 x 10¹) (7 x 10⁶) = (2.3 × 7) × (10¹ x 10⁶)

                              = 16.1 × (10¹ x 10⁶)

We have the product rule, xᵃ . xᵇ = xᵃ⁺ᵇ

So the product is,

(2.3 x 10¹) (7 x 10⁶) = 16.1 × (10¹⁺⁶)

                              = 16.1 × 10⁷

                              = 1.61 × 10⁸

Hence the product in scientific notation is 1.61 × 10⁸.

Learn more about Scientific Notation here :

https://brainly.com/question/19625319

#SPJ3

A circular lake has a circumference of 24 miles. To the nearest square mile, what is the area of the lake?


15 square miles

46 spaure miles

183 square miles

452 square miles

Answers

46 sqaure miles.........

Answer:

46 square miles

Step-by-step explanation:

help me please asap​

Answers

Answer:

[tex]-\dfrac{11}{12}[/tex]

Step-by-step explanation:

[tex]\dfrac{\frac{5}{8}+\frac{3}{4}}{\frac{-2}{3}-\frac{5}{6}}[/tex]

Find common denominators:

[tex]\dfrac{\frac{5}{8}+\frac{6}{8}}{\frac{-4}{6}-\frac{5}{6}}=[/tex]

[tex]\dfrac{\frac{11}{8}}{\frac{-9}{6}}=[/tex]

[tex]\dfrac{11}{8}\cdot -\dfrac{2}{3}=-\dfrac{11}{12}[/tex]

Hope this helps!

what is 10 1/3 x 1/4? that is, what is ten and one third times one fourth?

Answers

Answer: 31/12, or 2 7/12

Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better

A city has an elevation of –752 feet. Which statement describes the city’s elevation?
–752 above sea level
–752 below sea level
752 above sea level
752 below sea level

Answers

Answer:

752 bellow sea just did that

Answer:

Its 752 below see level!

Step-by-step explanation:

I am doing the assignment right now and got it right!, if you want can you guys mark brainliest that would help a lot!!

A slice is made perpendicular to the base of a right rectangular pyramid through the vertex as shown below. What is the shape of the cross section? What is the area of the cross section? Explain with complete sentences and proper grammar.

Answers

Answer:

Shape: Triangle

Area: 27.5 cm

Step-by-step explanation:

Area formula for a triangle: b(base) x h(height) / 2

so, 5(11)/2 = 55/2= 27.5

Which is an x-intercept of the graphed function?
O(0, 4)
0 (-1.0)
Q (40)
(0,-1)

Answers

Answer:

can show me the graph plz

Step-by-step explanation:

Find the mean, median, mode, and range of the data:
{17, 2, 16, 3, 13,5,7,8,9, 11, 5, 2, 1,20}

Answers

Answer:

median:8 mean:199 that is all i know i might be wrong

Step-by-step explanation:

Mean: 8.5
Find the average:

17+2+16 +3+13+5+7+8+9+11+5+2+1+20=119

119/14=8.5

Median: 7.5
Find the middle number:
17, 2, 16, 3, 13, 5, 7, 8, 9, 11, 5, 2, 1, 20

Put them in order (smallest to biggest):
1, 2, 2, 3, 5, 5, 7, 8, 9, 11, 13, 16, 17, 20

Find middle number(s):
7, 8.. In this situation sense there are two middle numbers, find the average of the two:
7+8=15, 15/2=7.5

Mode: 2,5
Find the most common occurring number (there can be more than one):
2 and 5 appear the most

Hope this helps!!


3. A boat is travelling from Point C toward Point D, which is on the shoreline.
The shoreline is represented by the line through Point A and Point B.
Determine whether the path from C to D is perpendicular to the shoreline. A to B.
Justify your answer
A(0,7) B(8,-5) C(-3,-8) D(6,-2)

Answers

Answer:

Yes, lines CD & AB are perpendicular

Step-by-step explanation:

AB slope: y = -12/8x + 7

CD slope: y = 6/9x - 6

Once the slopes are simplified:

AB: -3/2

CD: 2/3

Hope this helps!

PLS HELP !! ILL GIVE BRAINIEST

Answers

Answer: first one is a the second one is b

Step-by-step explanation:

the bottom is the total amount and the top should relate to the bottom

If the measures of two angles add up to 90

Answers

Answer:

complementary angles

Step-by-step explanation:

If the measures of two angles add up to 90 then they are complementary angles

True or false the focal length F is the directed distance from the vertex (h, k), to the focus of the parabola

Answers

Answer:

true

Step-by-step explanation:

Could you answers the question?

Answers

1.Austion bc he is taking more time
2. 1/2 of the stair case
3.the whole stair case
4.Dylan
5. Dylan he takes the same jumps just skips steps and jumps further and higher

PLEASE HURRY!!IM BEING TIMED!WILL NAME BRAINLIEST!!
The table and graph show that each cracker in a package has 7 calories.
Crackers and Calories
crackers(X) calories(Y)
1 7
2 14
3 21
4 28
Which statement about the graph is true?
A.)The number of crackers is the dependent variable, and the number of calories is the independent variable.
B.)The point (42, 6) is on the line.
C.)The number of crackers are graphed on the y-axis, and calories are graphed on the x-axis.
D.)The two variables are the number of crackers and the number of calories.
(Picture not option!just a graph!)

Answers

Answer:

D.)The two variables are the number of crackers and the number of calories.

Step-by-step explanation:

The number of crackers is the independent variable, and the number of calories is the dependent variable.

The point (6, 42) is on the line

The number of crackers are graphed on the x-axis, and calories are graphed on the y-axis.

HOW COULD YOU USE A GRAPH TO SHOW WHETHER THE DATA ARE IN A PROPORTIONAL RELATIONSHIP

Answers

Answer:

If the graphs are parallel they are porportional

Step-by-step explanation:

Answer:

The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.

Step-by-step explanation:

Please mark me most brainly... :)

solve the division problem -1 3/5 diveded by (-2/3 writ the answer as a mixed number

Answers

Answer: 2 2/5

Turn -1 3/5 into an Improper Fraction

Multiply -1×5 and get -5. Now add 3 and get -8.

-1 3/5 = -8/5

Do Keep Change Flip

Keep: -8/5

Change: ÷ into ×

Flip: -2/3 into -3/2

Multiply

-8/5×-3/2=12/5

Simplify

12/5 = 2 2/5

Answer:

2 2/5

Step-by-step explanation:

see attached

Area and perimeter please

Answers

Answer:

185.68 for perimeter

1652.16 for area

Step-by-step explanation:

Please give me brainliest i hope you do well.!

Which statement is correct using "is equal to" (=)?

Answers

Answer:

B) 6 boxes of 9 pineapples = a total of 54 pineapples.

Step-by-step explanation:

We have to multiply the number of pineapples by the number of boxes the options give.

A is not the correct answer.

[tex]4 * 8 = 36\\32\neq 36[/tex]

B is correct.

[tex]6 * 9 = 54\\54 = 54[/tex]

C is incorrect.

[tex]12 * 8 = 120\\96 \neq 120[/tex]

D is incorrect.

[tex]16 * 5 =90\\80\neq 90[/tex]

Your best option is B.

Brainilest Appreciated.

Triangle XYZ is a right triangle.

Use the drop downs to determine the length of the legs of the right triangle.

What is the length of Side X Z?

What is the length of Size Y Z?

Answers

Answer:

What is the length of Side X Z?

✔ 5

What is the length of Size Y Z?

✔ 6

The length of side XZ is 5 units.

The length of side YZ is 6 units.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the length of side XZ, we can use the distance formula, which is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substituting the coordinates of X (-2, 4) and Z (3, 4), we get:

[tex]d(XZ) = \sqrt{(3 - (-2))^2 + (4 - 4)^2}\\= \sqrt{5^2 + 0^2}\\= \sqrt{25}\\= 5[/tex]

The length of side XZ is 5 units.

To find the length of side YZ, we can again use the distance formula with the coordinates of Y (3, -2) and Z (3, 4):

[tex]d(YZ) = \sqrt{(3 - 3)^2 + (4 - (-2))^2}\\= \sqrt{0^2 + 6^2}\\= \sqrt(36)\\= 6[/tex]

The length of side YZ is 6 units.

Thus,

The length of side XZ is 5 units.

The length of side YZ is 6 units.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ3

WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!















The cost for a business trip for 3 people is $1,975 per person. The business trip would use 79%
of the company’s travel budget. Find the total amount of money the company has budgeted for
travel. pls show work :)

Answers

Answer:

7500

Step-by-step explanation:

3*1975=5925

5925/.79=$7500

Answer:

5175

Step-by-step explanation:

1975*3=5925

5925/79%=7500 (Take one zero off)

750

5925-750=5175

The Company will pay 5175 in total. But 1725 per each person going.

Which choice is equivalent to the quotient shown here for acceptable values of x?

Answers

Answer:

(D)

Step-by-step explanation:

Equivalent expressions are expressions that have equal values

The equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

The expression is given as:

[tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex]

Represent the expression as a quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x^2}{3x}}[/tex]

Evaluate the quotient

[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x}{3}}[/tex]

Hence, the equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Other Questions
Why is monetary and fiscal policy important to the economy? The codon, CAG, is being carried by a mRNA strand into thecytoplasm. By using the Codon Chart, what amino acid will it codefor? A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas how many packages are corn tortillas Need help Soon as possible Which is the longest length?a 1 yd. 20 in.b 1yd. 1 ft.40 in.d 3 ft. 75 POINTS!!! One reason male peacocks spread their tail feathers is to attract a mate. How does choosing a male with a bright, full tail increase a peahens chance of producing healthy peachicks? How many boys are there in an introductory geology course if 360 students are enrolled and there are five boys to every seven girls? If X - 14 = 465, what is the value of X? you flip a coin 20 times. you land on heads 13 times. what is the percent error? nickel is t coin as shirt is to 7. What is the value of the expression 3(2 - 7) Mi jefe quisiera que ustedeseso para maana. (dejar)o dejaramosO dejarOdejarano dejbamos In Humans, the liquid wastefiltered by the kidneys is storedin the ......?A) StomachB) BladderC) LungsD) I'm not sure. I needmore help with thistopic. Uranium-235 has 92 protons. How many neutrons does it have? Help with the picture What is used in the name of ionic compounds containing a cation with multiple charges to indicate which charge?(No answers to display) Does your output depend on what you sense? computer science Please help please please now I nee help Decide whether the picture above is an example of erosion, weathering, deposition, or a combination of all three. Explain how you know. why is communism being represented by a vulture