Yensen is biking in a race that is 56 miles long. He has completed 35%of the race. How many miles has Yensen biked?

Answer: a. g(x) = 3^x + 2 b. y = 3 c. same graph but shifted two units up

Step-by-step explanation:

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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Answer:

26 1/3

Step-by-step explanation:

I simplfied 79/3 on paper :)

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.

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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:

Answer:

maybe its a or c

Step-by-step explanation:

Answer:

D) 14,400

Step-by-step explanation:

trust me

Answers:

Fractions A

Red flower fraction== 40/100

Purple flower fraction=47/100

Trees fraction=7/100

Decimals

Orange flower decimal=0.06

Trees decimal=0.07

Percents

Red flower percent=40%

Orange flower percent=6%

Purple flower percent=47%

Ask for help when you need it, I'm here until 2:30

I hope this helps!

If you need more help, don't hesitate to ask!

May I have brainliest, please?

Answer:

y = 0.1(x + 5)² + 1.5

Step-by-step explanation:

Equation of a parabola having vertex at (h, k) is given by,

y = a(x - h)² + k

From the given graph, vertex of the parabola is (-5, 1.5)

Therefore, equation of the parabola will be,

y = a(x + 5)² + 1.5

Since, this parabola passes through a point (0, 4)

4 = a(0 + 5)² + 1.5

4 = 25a + 1.5

25a = 2.5

a = 0.1

By substituting the value of 'a' in the equation of the parabola,

y = 0.1(x + 5)² + 1.5

Answer: Credit to work in process invetory-assembly

Answer:

its C because it makes the most sense "Credit to work in process invetory-assembly."

Step-by-step explanation:

Answer:

41.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is the answer

Answer:

x7

Step-by-step explanation:

Answer:

3 pairs of socks

Step-by-step explanation:

2 shirts *12per shirt = $24 spent so far

$39 - $24 dollars spent so far = $15 dollars left

$15 dollars left/$5 per pair of socks = 3 pairs of socks.

An equation is formed of two equal expressions. The total number of socks that Rebecca bought is 3.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of pairs of socks that Rebecca bought be represented by x.

Given that Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. Also, the total purchase value is $39. Therefore, we can write the equation as,

Purchase value of socks + Purchase value of t-shirts = Total purchase value

($5 × x) + ($12 × 2) = $39

5x + 24 = 39

5x = 39 - 24

5x = 15

x = 15/5

x = 3

Hence, the total number of socks that Rebecca bought is 3.

Learn more about Equation here:

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Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough

It

Step-by-step explanation:

Answer:

10,000 i think....i hope this helps

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1. The empirical rule tells you 68% of the distribution is within 1 standard deviation of the mean. The mean is 50 and the standard deviation is 0.2, so this means 68% of the bags weigh between 49.8 and 50.2 lb.

__

2. The other 32% is evenly split above and below the central part of the distribution. That is, about 16% of the bags will weigh less than 49.8 lb.

__

3. The percentage is independent of the size of the group. The empirical rule tells you 95% lie within 2 standard deviations of the mean. The other 5% will be evenly split between those weighing more than 50.4 and those weighing less than 49.6 lb. About 2.5% of the bags will weigh more than 50.4 lb.

_____

Additional comment

It is useful to remember the empirical rule numbers, 68%, 95%, 99.7% for the portion of the distribution between ±1, 2, 3 standard deviations of the mean. They are useful for answering questions like this one. (They are only approximations, so if more accuracy is needed, a table or app should be used to find the accurate value.)

Answer:

6 over 9 = 6/9 11 over 88 = 11/88 6/9 = 0.6667(repeating) 11/88 = 0.125

P.S. Dont fall for those link scams! ;)

Hope this helped! If it did, please give me brainliest! It would help a lot! Thanks! :D

Answer:

D

Step-by-step explanation:

Answer:

n+4=32 models this scenario.

This is because n+4 would show how many students are originally in the class.

Let me know if this helps!

Answer:

D for sure

Step-by-step explanation:

i dont know if you have time for this so i explain it in the comments if you need it

Answer:

the answer is D

Step-by-step explanation:

Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)

Step-by-step explanation:

Step-by-step explanation:

subtract 5 under itself and 21 , then cross out the 5 and only subtract 21 and 5 which is 16 and then bring down 2x so now your equation will be 2x=5 so now your gonna divide 2 and 5

Step-by-step explanation:

Answer:

D 1/16

Step-by-step explanation:

(1/2)^4=.0625

.0625= 1/16

Answer:the second one

Step-by-step explanation:

anwser c

step-by-step explenation                                          

Answer: 522.67 mm^3

Step-by-step explanation:

use formula

Answer:

a = 42 b = 21

Step-by-step explanation:

a is 42 since it ks vertically opposite 42

To solve for b

360 - (42×2)........to get the angle next to a

=276... Divde answer by 2. Bc there are two of the angles

276÷2 =138

138 + 2b =180

2b = 180 - 138

b = 42 ÷ 2

b = 21

Answer:

2435 units

Step-by-step explanation:

Answer:

slope-5/3-1 2/3

y-intercept=-2

Step-by-step explanation:

hope that helps if correct please mark as brainliest thank you

19NBoli

Answer:

its the second graph top right

Step-by-step explanation:

an outlier is a point that deviates from the rest

Answer:

Step-by-step explanation: