3. Temperature
(THIS IS NOT A MULTIPLE CHOICE)​

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:

https://brainly.com/question/251701

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: letter d

Step-by-step explanation:

Answer:

Ball D. Among the four balls in this picture, ball D is the only one whose kinetic energy is greater than [tex]0[/tex].

Step-by-step explanation:

Consider an object of mass [tex]m[/tex]. If this object is moving at a speed of [tex]v[/tex], the kinetic energy of this object would be:

[tex]\displaystyle \frac{1}{2}\, m \cdot v^{2}[/tex].

The speed [tex]v[/tex] of ball A, B, and C are all [tex]0[/tex].  Hence, the kinetic energy of these three balls would be [tex]0\![/tex].

The speed of ball D is greater than [tex]0[/tex]: [tex]v = 2\; \rm m \cdot s^{-1}[/tex]. The kinetic energy of this ball would be:

[tex]\begin{aligned} {\rm KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2}\times \rm 0.43\; \rm kg \times \left(2\; \rm m \cdot s^{-1}\right)^{2}\\ &= 0.86\; \rm J\end{aligned}[/tex].

Hence, the kinetic energy of ball D is the greatest among the four balls in this picture.

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: .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:

Answer:

D 1/16

Step-by-step explanation:

(1/2)^4=.0625

.0625= 1/16

Answer:

x = 14.5°

Step-by-step explanation:

A+D = 180°

(8x-11) + (5y+2) = 180°

simplify:

5y + 8x = 189°

5y = 189 - 8x

D = B

(5y+2) = (4x+17)

simplify

5y = 4x + 15

then:

189 - 8x = 4x + 15

12x = 174

x = 14.5°

5y = 4(14.5) + 15

5y = 73

y = 14.6

check:

5(14.6) + 8(14.5) = 189

73 + 116 = 189

189 = 189

Answer: Y = -x/2 + 12.5

Step-by-step explanation:

You wrote the equation strange so i don't really know if the end of the equation is a 25 or not

Answer:

Basically this is because division can be thought of as how many times does the divisor have to be multiplied in order to produce the dividend.

So you would need to multiply 1 8 times in order to produce the dividend,

Similarly, 10 goes into 80 8 times. The zeros are simply cancelled out in the division.

Answer:

137

Step-by-step explanation:

(3 + 5 + 15 + x)/4 = 40

23 + x = 160

x = 137

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:

x ≤ 6

Step-by-step explanation:

2x-1 ≤ x+5

Subtract x from each side

2x-x-1 ≤ x-x+5

x-1 ≤ 5

Add 1 to each side

x-1+1 ≤ 5+1

x ≤ 6

Answer:

Heres brainliest for who answered first

Step-by-step explanation:

Answer:

2435 units

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

also nice pfp d====(￣▽￣*)b

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Just do PEMDAS}[/tex]

[tex]\large\text{Parentheses}[/tex]

[tex]\large\text{Exponents}[/tex]

[tex]\large\text{Multiplication}[/tex]

[tex]\large\text{Division}[/tex]

[tex]\large\text{Addition}[/tex]

[tex]\large\text{Subtraction}[/tex]

[tex]\mathsf{(\dfrac{4}{2})(4) + (1+3)}[/tex]

[tex]\mathsf{\dfrac{4}{2} = 2}[/tex]

[tex]\mathsf{2(4) + (1 + 3)}[/tex]

[tex]\mathsf{2(4) = 8}[/tex]

[tex]\mathsf{8 + (1 + 3)}[/tex]

[tex]\mathsf{1 + 3 = 4}[/tex]

[tex]\mathsf{8 + 4 = 12}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf \huge12 }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day! }[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

What u have done is correct its E. ABC, FFE and PQR.

Hope this helps

Hope this helps ALL THE BEST!!

The ΔABC, ΔFGE, and ΔPQR are congruent by SAS criterion.

Option D is the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

So,

The ΔABC, ΔFGE, and ΔPQR are congruent since there is a congruent angle between the corresponding equal sides in all three triangles.

Thus,

The ΔABC, ΔFGE, and ΔPQR are congruent by SAS.

Learn more about triangle congruency here:

https://brainly.com/question/12413243

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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:

x<3

Step-by-step explanation:

5x+2<17

Subtract 2 from both sides.

5x<17−2

Subtract 2 from 17 to get 15.

5x<15

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

x=15/5

Divide 15 by 5 to get 3.

x<3

Answer:

B

promise it's B trust me

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:

the answer is -1

Step-by-step explanation:

if you multiply the first equation by -1, you get this:

-3x + 4y = 4

and then you can add that to the second equation and eliminate y

2x + 0y = 16

Answer:

684 I think ?!

Step-by-step explanation:

Answer: 114 adult tickets were sold.

Step-by-step explanation:

Let student tickets be represented as 2t (since twice the amount of student tickets were sold)

and let t represent the amount of adult tickets.

Solve for t (number of tickets)

342= 2t + t. Combine like terms.

342= 3t. Divide both sides by 3.

114=t

114 adult tickets were sold.

Substitute 114 for t to find student tickets.

2(114)= 228 student tickets were sold.

Answer:B

Step-by-step explanation:  ok its B because i need some $$$

Answer:

D and E

Step-by-step explanation:

The question asks which one would always form an image that is congruent to the pre-image.

Note that Translation, Reflection, and Rotation do not change the size or shape of the pre-image while Dilation will change the size of your pre-image.

Therefore, the most likely answer would be options D and E that do not include dilation in their series of transformations so the image will not change its size making it congruent to the pre-image.

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.

Answer:

41.8

Step-by-step explanation:

Answer:

C. 75t + 10 = 160

Step-by-step explanation:

Given that

The tire was $75 each

also there is a $10 for installation charges

For both he paid $160

Now based on the above equaton

The equation that applied to determine the number of tires i.e. t is

75t + 10 = 160

Answer:

π/6 and 5π/6

Step-by-step explanation:

Graphing the equation or using a unit circle, we can find these values out pretty easily