6th grade math I mark as brainliest

Answer:

a) 0.2316 = 23.16% probability that 0 carry intestinal parasites.

b) 0.4005 = 40.05% probability that at least two individuals carry intestinal parasites.

Step-by-step explanation:

For each trout, there are only two possible outcomes. Either they carry intestinal parasites, or they do not. Trouts are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

You know that in a specific population of rainbow trout 15% of the individuals carry intestinal parasites.

This means that [tex]p = 0.15[/tex]

Assume you obtain a random sample of 9 individuals from this population:

This means that [tex]n = 9[/tex]

a. Calculate the probability that __ (last digit of your ID number) carry intestinal parasites.

Last digit is 0, so:

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

[tex]P(X = 0) = C_{9,0}.(0.15)^{0}.(0.85)^{9} = 0.2316[/tex]

0.2316 = 23.16% probability that 0 carry intestinal parasites.

b. Calculate the probability that at least two individuals carry intestinal parasites.

This is

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

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

[tex]P(X = 0) = C_{9,0}.(0.15)^{0}.(0.85)^{9} = 0.2316[/tex]

[tex]P(X = 1) = C_{9,1}.(0.15)^{1}.(0.85)^{8} = 0.3679[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2316 + 0.3679 = 0.5995[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5995 = 0.4005[/tex]

0.4005 = 40.05% probability that at least two individuals carry intestinal parasites.

We will see that the probabilities are:

We know that 15% of the population have the parasites, then if we take a trout at random we have:

a) The probability that 9 of them carry intestinal parasites (so all of them have).

This is just the product of the individual probabilities, so we have 9 times a probability of 0.15, this gives:

P(9) = (0.15)^9 = 3.8*10^-8

b) Probability that 2 out of 9 have parasites.

Then we have 0.15 two times, and 0.85 seven times.

But we also need to take in account the permutations, the different groups of 2 trouts that we can make out of 9 trouts is given by:

[tex]C(9, 2) = \frac{9!}{(9-2)!*2!} = \frac{9*8}{2} = 36[/tex]

This means that there are 36 different pairs of 2 trouts that can be the ones with parasites.

Then the probability that 2 trouts have parasites is:

P(2) = 36*(0.15)^2*(0.85)^7 = 0.26

And just to be complete, the probabilty that x trouts have parasites is:

P(x) = C(9, x)*(0.15)^x*(0.85)^(9 - x)

If you want to learn more about probability, you can read:

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We have that El Paso is 320 miles from Tucson and 720 miles from San Diego.

You're travelling from Tucson to San Diego.

First we have to find the distance from Tucson to San Diego. We can do this by finding the difference between the distance of Tucson from San Diego and El Paso from San Diego.

That is:

720−320

400 miles

You leave by 6:00 am.

You drive for 75 miles per hour in 4 hours for the first part of the journey.

You then drive for 50 miles per hour for the rest of the journey.

The first step is to find the distance that the rest of the journey took. We can do that by first finding the distance covered in the first part of the journey and subtracting that from the total distance (400 miles).

To find the distance for the first part of the journey, we apply the formula for speed (rate of change of distance with time):

s = d/t

⇒d = s⋅t

where d= distance; t = time

Therefore:

d=75⋅4

d=300 miles

The first part of the journey covered 300 miles. This means that the rest of the journey covered:

400 - 300 = 100 miles

Now, to find the time the rest of the journey took, we have to apply the same formula for speed:

s=d/t

t=d/s

Therefore:

t=100/50

t=2 hrs

To find the total time it took to complete the journey, we have to add the times for the first part and the rest of the journey.

That is:

T=4+2

T=6 hours

Since you left home by 6:00 am, the time you will get to San Diego is 6 hours after that, i.e. 12 noon (Tucson time)

That is the answer.

Step-by-step explanation:

The answers are A, D and E

Answer:

Heres brainliest for who answered first

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Change the denominator of 6 to 12.

2 x 2 = 4

6 x 2 = 12

Find out how much gallon of milk was drank.

12/12 - 3/12 = 9/12

Find out how much the milk was drank after deducting how much Anna drank.

9/12 - 4/12 = 5/12

Answer:

M = kwh^2/L

k = 400

Step-by-step explanation:

Given that the maximum weight M that can be supported by a beam is jointly proportional to its width w in inches and the square of its height h in inches and inversely proportional to its length L in feet

Then

M ∝ wh^2/L

M = kwh^2/L

where k is the constant of proportionality

if a beam 4 in. wide, 6 in. high, and 15 ft long can support a weight of 3840 lb then

3840 = k * 4 * 6^2/15

k = 3840 * 15 / (4 * 36)

k = 400

Answer:

x(2-xy^2-y-y^2)/y^2

Step-by-step explanation:

It mabye the above answer so x

y ^2 - 4 x y ^3

The expression will be simplified as [tex]\dfrac{x^2+2x-xy}{y^2-x^2}[/tex].

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression will be simplified as follows:-

[tex]\dfrac{2x}{y^2-x^2}-\dfrac{x}{y-x} = \dfrac{2x-x(y-x)}{y^2-x^2}\\\\[/tex]

                         [tex]=\dfrac{2x-xy+x^2}{y^2-x^2}[/tex]

                         [tex]= \dfrac{x^2+2x-xy}{y^2-x^2}[/tex]

Therefore the expression will be simplified as [tex]\dfrac{x^2+2x-xy}{y^2-x^2}[/tex].

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Answer:

116 miles

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-41,3)[/tex] --- Camp 1

[tex](x_2,y_2) = (75,3)[/tex] --- Camp 2

Required

The distance between both camps

This is calculated using:

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

[tex]d^2 = \sqrt{(-41-75)^2 + (3-3)^2}[/tex]

[tex]d^2 = \sqrt{(-116)^2 + (0)^2}[/tex]

[tex]d^2 = \sqrt{116^2}[/tex]

[tex]d = 116[/tex]

The distance is 116 miles

Answer: 56

Step-by-step explanation:

Volume = length x width x height

You can find the length width and height by counting the cubes.

7x4x2= 56 cubic units

Answer:

56

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

.625 = 5/8

Step-by-step explanation:

to figure out how to convert a fraction to a decimal is to divide...

5 divided by 8 equals .625

hope this helps...

Answer:

263

Step-by-step explanation:

Answer:

answer is 273

Step-by-step explanation:

use the arithmetic sequence

a86=18+(86-1)(3)

a86=18+ (85)(3)

273

Answer:

Step-by-step explanation:

3/5, 12/20

Answer:

Estimated time = 490 seconds

Exact time = 463.98 seconds

Step-by-step explanation:

The car traveled 1 mile in 70.3 seconds.

We want to find how long it took to travel 6.6 miles.

We are told to estimate the given values to the nearest whole numbers before solving.

Thus;

1 mile was travelled in 70 seconds

Then; 6.6 miles ≈ 7 miles

Thus, 7 miles is travelled in; 70 × 7/1 = 490 seconds

Estimated time = 490 seconds

Now, exact time will be;

Exact time = 70.3 × 6.6/1

Exact time = 463.98 seconds

Answer:

B

promise it's B trust me

Answer:

[tex]n = 9[/tex]

Step-by-step explanation:

1) Add 14 to both sides.

[tex] - 13 + 14 = \frac{n}{9} [/tex]

2) Simplify-13 + 14 to 1

[tex]1 = \frac{n}{9} [/tex]

3) Multiply both sides by 9.

[tex]1 \times 9 = n[/tex]

4) Simplify 1 × 9 to 9.

[tex]9 = n[/tex]

5) Switch sides.

[tex]n = 9[/tex]

Therefor, the answer is n = 9.

Answer: B

Step-by-step explanation:

The correct answer is B

The population of the bacteria at the value of P (5) is 384, and it represents that the time is 5 pm

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=a^x[/tex]

Here, a is the variable in the power of a number.

The population of a bacterium doubles every hour. At 9 am, the population is 12 bacteria.

The function models the bacteria population t hours after 9 am  is,

[tex]P (t) = 12\times2^t[/tex]

Put the value of t as 5 at P (5) in the above exponential function as,

[tex]P (5) = 12\times2^5\\P(5)=12\times32\\P(5)=384[/tex]

Hence, the population of the bacteria at the value of P (5) is 384, and it represents that the time is 5 pm.

Learn more about the exponential function here;

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Answer: it’s the first one

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  g(x) = -f(x -3)

Step-by-step explanation:

Reflection over the x-axis multiplies function values by -1. Translation to the right 3 units replaces x with x-3. The transformed function is ...

  g(x) = -f(x -3)

Answer:

x = 4

Step-by-step explanation:

also nice pfp d====(￣▽￣*)b

Answer:

66 cubic centimeters

Step-by-step explanation:

volume is L x W x H

so 11 x 2 x 3

which equals 66

Answer:

66

Step-by-step explanation:

Answer:

3.25x50=21

Step-by-step explanation:

Sample size falls within the range from the mean Standard deviation (3.5±1.75).

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given, Suppose that the mean of your 50 rolls is x = 3.25.

Therefore,  Sample size falls within the range from the mean Standard deviation (3.5±1.75).

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Complete question:

Answer:

the answer is b

Step-by-step explanation:

Answer:

B 554

Step-by-step explanation:

Answer:

My vote is for choice 3) ∠2, ∠3, ∠6 and ∠7

Step-by-step explanation:

Each of 2,3,6, & 7, when added to angle 5, add up to 180°

Do supplementary angles have to be adjacent to be supplementary?

No.

Explanation:

The answer is no, as for example:

angles on the same side of a non-parallel sides of a trapezoid and

opposite angles of a cyclic quadrilateral can be supplementary.

Answer: .4 is in the tenths column and .04 is in the hundredths column and

.4 is 40% and .04 is 4% and .4 is 2/5 and .04 is 1/25 so .4 is larger then .04 and .4 is 2:5 and .04 is 1:25

Step-by-step explanation: plz mark me brainliest.

How to mark brainliest

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Answer:

Well .4 is bigger then .04. 0.4 is equal to 2/5 and 0.04 is equal to 1/25

Step-by-step explanation: