A study shows that 35% of the fish caught in a local lake had high levels of mercury. Suppose that 10 fish were caught from this lake. Find, to the nearest tenth of a percent, the probability that at least 6 of the 10 fish caught did not contain high levels of mercury.

Answers

Answer 1

Answer:

0.985

Step-by-step explanation:

Given: 35% of the fish caught in a local lake had high levels of mercury.

To find: probability that at least 6 of the 10 fish caught did not contain high levels of mercury

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favourable outcomes/Total number of outcomes

Let A denotes the event that the fish caught in a local lake had high levels of mercury.

As 35% of the fish caught in a local lake had high levels of mercury,

[tex]P(A)=0.35[/tex]

Probability that at least 6 of the 10 fish caught did not contain high levels of mercury = 1 - probability that 4 of the 10 fish caught contain high levels of mercury = [tex]1-(0.35)^4=1-0.015=0.985[/tex]


Related Questions

What is the equation of the line with a slope of –3 and a y-intercept of 4?

Answers

Answer:

y=-3x+4

y=mx+b

m is the slope

b is the yint

Answer:

y= -3x+4

Step-by-step explanation:

What is the difference between the highest and lowest points in a data set?
the mean
the median
the mode
the range

Answers

Answer:

range

Step-by-step explanation:

difference between the highest and lowest points in a data set = range

The mean is the average of all the points

The median is the middle of  all the points

The mode is the point the appears the most often

"Hey diddle diddle the medians the middle you add and divide for the mean the mode is the one that you see the most and the range is the difference between"

Online song that's helped me remember the difference between median, mode, mean and range for years!

If the mean of the data set is 353535 apples, find the number of apples on the Granny Smith tree.

Answers

Answer:

141414

Step-by-step explanation:

Joan draws a bar chart to show the temperatures at midday on March 1st in five cities. Joan has made four mistakes in her diagram. Write down any three of them. ​

Answers

Answer:

Step-by-step explanation:

Properties of a bar graph:

1). There should be equal space between the bars or the columns.

2). Width of each bar or columns should be same.

3). All bars should have same base.

4). Height of each bar will show the value of the data.

By these properties,

- Space between London-Paris, Rome-Oslo are not equal.

- Width of Munich bar is different from other bars.

2 - Integrated Math 1 - 2019
euseneck in
Space is a way of joining together points, lines, and
A. more space
B. planes
C. symbols
D. thickness
Please select the best answer from the choices provided
СА
B
С
D

Answers

The answer is B: planes
More space A is the correct answer

A display case has room for 10 statues. Find the number of ways you can line up the statues if you have 5 statues

Answers

(Just and Example so it'll kinda explain it.)

Example A

How many ways can 5 students sit in a row?

Solution: If we consider the students sitting in one of five seats, then we have 5 students to choose from for the first seat, four remaining to choose from for the second seat and so on until all the seats are filled.

5–×4–×3–×2–×1–=120 So there are 120 ways to seat the students.

More Guidance

The way we just wrote out 5–×4–×3–×2–×1– can also be expressed as a factorial. A factorial is the product of a number with each number less than itself. We use the notation, 5!, which is read as “five factorial” to represent the expression 5–×4–×3–×2–×1–. It is important to note that 0!=1!=1. Students are often perplexed that both zero and one factorial are equal to one but think back to the context for illustration. If you want to arrange zero items, how many ways can you do it? If you want to arrange one item, how many ways can you do it? There is only one way to “arrange” zero or one item.

To evaluate a factorial on the TI-83 or 84 graphing calculator, type in the number, then press MATH→NUM, 4!. Press ENTER to evaluate.

Write an inequality that compares 3 and 5

Answers

Answer:

3 < 5

Step-by-step explanation:

3 < 5

We can write this inequality, because three is less than five, and < means less than.

3 < 5

An inequality is a mathematical sentence which

states that two expressions are not equal.

The "<" symbol means less than.

Since 3 is less than 5, we can write this as 3 < 5.

Take a look below I have attached the same problem

and an additional one to show you.

WILL GIVE BRAINLIEST! Alice, Bob, and Carrie can all choose a number from 1 to 10 (inclusive).


(a) Find the number of ways they can choose their numbers if all three numbers are different.


(b) Find the number of ways they can choose their numbers if they have to choose exactly two different numbers among all three people. (For example, Alice and Bob both pick 1, and Carrie picks 2.)

Answers

Answer:

(a) 720

(b) 180

Step-by-step explanation:

We are given 10 numbers (1,2,3,4,.....,10).

(a) 3 unique numbers are to be chosen by Alice, Bob and Carrie.

Number of ways to choose the 1st number = 10

Number of ways to choose the 2nd number = 9 (1 number chosen earlier can't be chosen again)

Number of ways to choose the 3rd number = 8 (2 numbers chosen earlier can't be chosen again)

Total number of ways of choosing 3 unique numbers = [tex]10 \times 9 \times 8 \Rightarrow 720[/tex]

(b)

Number of ways of choosing 1st number = 10 (no restrictions)

Number of ways of choosing 2nd number = 9 (1 number chosen earlier can't be chosen again)

Now, restriction on the 3rd number to be chosen is that one of the two already chosen number should be chosen again.

So, number of ways to choose 3rd number = 2

the number of ways they can choose their numbers if they have to choose exactly two different numbers among all three people =

[tex]10 \times 9 \times 2 \Rightarrow 180[/tex]

Hence, the answers are:

(a) 720

(b) 180

Solve each equation (steps as to how appreciated)

Answers

Answer:

{10, -8} (A)

Step-by-step explanation:

Since it is absolute value, n-1 can equal both 9 or -9.

First you solve for n-1=9.  That would make n=10

Then you solve for n-1= -9 .That would make n=-8

Answer:

A) {10, -8}

Step-by-step explanation:

Since it is absolute value, you must split it into two equations:

n-1=9

n-1=-9

Now solve for n in both equations

n=10

n=-8

Therefore, the answer is A

Find the area of the figure. If you need to use Pi in your computation, approximate its value as 3.14.
Rectangle topped by a semicircle

a.
130.24 sq. in.
b.
105.12 sq. in.
c.
83.14 sq. in.
d.
180.48 sq. in.

Answers

Answer:

b.  105.12 in²

Step-by-step explanation:

A= 1/2 πr² +ab

a= 8 inb= 10 inr=8/2= 4 inA= 1/2*3.14*4² + 8*10= 105.12 in²

Find the value of the expression 4a^4 − 2b^2 + 40 when a = 2 and b = 7

Answers

Answer:6

Step-by-step explanation:

4(2)^4 − 2(7)^2 + 40

4(16)-2(7)^2+40

64-2(49)+40

64-98+40

-34+40

6

Answer:

6

Step-by-step explanation:

4a^4 - 2b^2 + 40

Put a = 2 and b = 7

4(2)^4 - 2(7)^2 + 40

Solve the powers first.

4(16) - 2(49) + 40

Multiply.

64 - 98 + 40

Add and subtract.

= 6

What is the slope-intercept form of the equation of the line that passes through the point (-6, 1) and is perpendicular to the
graph of 2x + 3y = -5?
Oy=-3/2x-8
Oy=-3/2x+1
O y=3/2x+1
O y = 3/2x + 10

Answers

Answer:it’s C

Step-by-step explanation:

If you borrow $5.93 for nine years at an interest rate of 6%, how much interest will you pay?

Answers

The answer is $3.20
By using the simple interest formula
Simple interest = principal x rate x time (years) all divided by 100
i believe the answer is 3.20

which number is an interger

Answers

Answer:

Any number that is a whole number not a fraction or decimal

Step-by-step explanation:


Rectangle 1 and Rectangle 2 are similar. Rectangle 2 is three times as long as Rectangle 1. If Rectangle 2 is 18 inches wide, how wide is Rectangle 1?

3 inches
6 inches
9 inches
54 inches

Answers

Answer: 6 inches

Step-by-step explanation:

If rectangle 2 is 3 times as long as rectangle 1, then all we hae to do is divide the width by 3 (The width is 18)

18 ÷ 3 = 6

Answer:

6 trust me i had this on my assignment...

Step-by-step explanation:

please help will mark brainliest

Answers

Answer:

20 ft² - 4ft² = 16 ft²

Step-by-step explanation:

First we solve for the whole rectangle:

Formula:  A = ab

side length a = 5 in

side length b = 4 in

diagonal p = q = 6.4031242374328 in

perimeter P = 18 in

area A = 20 in²

Second we deduct the Area of the cutout of the Square

side length a = 2 ft

Area = a² = 4 ft²

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost? What equation would you use to solve this problem?

Answers

Answer:

$2

Step-by-step explanation:

24-10=14

14/7=2

Answer:

Each pencil costed $2

Step-by-step explanation:

She bought 7 pencils at $2  7x2=14

24-14=10

What is the sum of the interior angles of a polygon that has 9 sides?

Answers

Answer:

1260 degrees

Step-by-step explanation:

6) Work out 4 x 10-5 x 6 x 1012
Give your answer in standard form.​

Answers

Answer:

4 × 5 × 6 × 1012 = 121440

= 1.2 × 10⁵

The total length of a beach is 13.2 kilometers. If lifeguards are stationed every 0.06 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?

Answers

Answer:

220 lifeguards

Step-by-step explanation:

We have to divide the length of the beach by the interval of the stationed lifeguards.

13.2 / 0.06 = 220 lifeguards

There are 220 lifeguards.

24 is 15% of what number

Answers

Answer:

160

Step-by-step explanation:

Is means equals and of means multiply

24 = 15% * N  where N is the unknown number

Change to decimal form

24 = .15 N

Divide each side by .15

24/.15 = .15N/.15

160 = N

Answer:

160 because 15% of 160 is 24 meaning 24 is 15% of 160

Step-by-step explanation:

(0,0) is the coordinates of

Answers

Step-by-step explanation:

it's called the origin.

hope this helps :))

Please help me Solve -x/3 >5

Answers

Answer:

I think its D. im not sure.

Simplify the expression below.
x4 • x4 • x4

Answers

Answer:

Step-by-step explanation:

Answer is x^12

first law of indices

Answer:

x4^3

Step-by-step explanation:

the answer would be cubed so x4 cubed

An architect is making a plan for a new circular playground. If the picture below is the playground, how much fencing needs to go up to keep the kids in the circle? ⬇⬇⬇

Answers

Answer:

Length of the fencing required = 201.06 meters

Step-by-step explanation:

Architect is planning a circular playground with diameter = 64 m

We have to calculate the fencing required to cover this playground.

Length of fencing = circumference of the playground

Since circumference of a circle = π × (Diameter)

                                                    = 64π

                                                    = 201.06 meters

Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.

Please answer correctly !!!!! Will mark brainliest !!!!!!!

Answers

Answer: (1 + x) (1 - x)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula a^2 + b^2 = (a+b)(a-b) where a = 1 and b = x (1 + x) (1 - x)

Mark has 1/2 pound of chocolate chips to make chocolate chip cookies. He needs 1/6 pound chocolate chips for one batch of cookies. How many batches of cookies can he make?

Answers

Answer:

3 batches

Step-by-step explanation:

First simplify 1/2 into 3/6

which into 1/6 makes three which means Mark can make 3 batches of cookies.

(If Mark had a full pound he could make 6 batches of cookies)*

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

3 batches

Step-by-step explanation:

write the expression (a+4) /7 in words

Answers

Answer:

It would be

a plus 4 divided by 7

Step-by-step explanation:

Answer:

"the sum of a and 4 divided by 7"

Step-by-step explanation:

This is "the sum of a and 4 divided by 7."

PLZ HELP STUCK ON THIS QUESTION
4a + 6b = 24
6a - 12b = -6
Given the equations what is the value of a+b?
PLZ HELP WILL MARK BRAINLIEST

Answers

Answer:

5

Step-by-step explanation:

4a + 6b = 24

6a - 12b = -6

Rewrite the first equation below. Divide both sides of the second equation by 2 and write below the first equation. Then add the equations.

      4a + 6b = 24

+     3a - 6b = -3

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

      7a         = 21

Divide both sides by 7.

a = 3

Now substitute 3 for a in the first equation and solve for b.

4a + 6b = 24

4(3) + 6b = 24

12 + 6b = 24

6b = 12

b = 2

a = 3, and b = 2

a + b = 3 + 2 = 5

Answer: 5

The angles of a quadrilateral are in the ratio 2: 3: 5: 8. Find the measure of each angles.

Answers

Answer:

see below

Step-by-step explanation:

Let's call the angles 2x, 3x, 5x and 8x and since the sum of angles in a quadrilateral is 360 degrees we can write:

2x + 3x + 5x + 8x = 360

18x = 360

x = 20 which means the angle measures are 40°, 60°, 100° and 160°

Answer:

40°,60°,100° and 160°

Step-by-step explanation:

First add all the ratio's together

2 + 3 + 5 + 8 = 5 + 13 = 18

Now we utilise the fact that angles in quadrilaterals add up to 360. We form an equation like this 18x = 360 to find the value of x and then substitute back into the ratio's

18x = 360

→ Divide both sides by 18 to isolate x

x = 20

Multiply 20 by each of the ratio's to find the angles of this quadrilateral

2 × 20 = 40

3 × 20 = 60

5 × 20 = 100

8 × 20 = 160

So the angles of a quadrilateral with the ratio of 2: 3 : 5 : 8 is 40,60,100 and 160

Other Questions
Factor completely 2x2 + 6x 80. (2x 5)(x + 8) (2x 10)(x + 8) 2(x 5)(x + 8) 2(x 10)(x + 8) When you put your powerade into your refrigerator its temperature is 48 F. If the refrigerator can cool drink at 3.75 F per hour, what will be the temperature of your Gatorade after 2 hours After t hours a freight train is s(t) = 18t2 2t3 miles due north of its starting point (for 0 t 9). (a) Find its velocity at time t = 3 hours. 108 Incorrect: Your answer is incorrect. mi/hr (b) Find its velocity at time t = 7 hours. 546 Incorrect: Your answer is incorrect. mi/hr (c) Find its acceleration at time t = 1 hour. 42 Incorrect: Your answer is incorrect. mi/hr2 An ultraviolet ray of light has a wavelength of 1.5x10^-8 m. What is the ray'sfrequency? Casey has a litter of 5 puppies and 3 of them are gray. At this rate, how many puppies would be gray in a litter of 30 puppies? For which set of data will the scatter plot represent a positive linear association between x and y?O Set AO Set BO SetcO Set DPLEASE HELP ME What is the value of this expression when c= -4 and d = 10?(c+d2)O A.2.OB.9.21OD. 41 HELP PLEASE!!!! Select the correct answer. Fill in the missing words in the following statement: The rocking horse is a ________ in "The Rocking-Horse Winner," and greed is the ________. A. Motif, subject B. Subject, motif C. Subject, theme D. Theme, motif A 4-ohm and 2-ohm resistor are wired in PARRELL. What is the TOTAL resistance? Which cannot be the angle measurements of triangle ABC? What did the us constitution do to the articles of confederation? Can someone please help me ? A mountain has a height of 2.74 miles. How high is the mountain in meters? Use the fact that 1 mi=1.609 km . Wit Company uses the weighted-average method in its process costing system. Information for the month of May concerning Department A, the first stage of the company's production process follows: Material costs are added at the beginning of the process. The ending work in process is 50% complete with respect to conversion costs. How would the costs be distributed? Goods completed and transferred out Ending work in proces Which of the following is the most likely result of improper data collection in ascientific experiment?A. Poor experimental designB. Creative problem solvingC. Unclear or inaccurate resultsD. New discoveries (4a^4)^2 write without exponents 50 POINTS IF YOU GET THIS QUESTION!!! Find area of the following shape if the vertices are X=(1,1), Y=(2,5), Z=(5,5), W=(8,1) 16. List all the items that are TRUE in the following statementsa) Enters plants through the rootsb) Molecules attract each otherc) Is necessary for living thingsd) In the ocean is called freshwatere) Evaporates from the leaves of plants plz help with this question fast Kick a ball and it'll fly up into the air before falling back down to the ground. A force is a pushing or pulling action that can make things move, change direction, or change shape. Which of these is NOT a force acting on the football? A) The force of gravity is pulling the ball back to the ground. B) Kicking the ball applies a force that sends it into the air. C)The force of gravity sends the ball sailing through the goal post. D)As the ball rolls across the ground, the force of friction brings it to rest.