Jason has 5 boxes and 3 cases of soup cans Each box contains 6 cans and each case contains 36 cans How many cans of soup does Jason have altogether?

1. 138
2. 198
3. 288
4. 3,240

Answer:

chale. necesita. 20 caracteres

Answer:

[tex]y = 6\\\\x = 6\sqrt{2}\\x=8.485[/tex]

Step-by-step explanation:

The base-angles converse theorem states that in a triangle where two angles are congruent, the sides opposite the congruent angles are congruent. One can apply this theorem to the given triangle, and thus, y = 6, because of the base angles converse theorem.

It is also given that the given triangle is a right triangle, therefore, the isosceles triangle with a right angle theorem is applicable. This theorem states that in a right triangle (a triangle with a right angle), that is isosceles (two sides are congruent), the third side (non-congruent side) is equal to the length of the two congruent sides times the square root of (2). Hence, x = [tex]6\sqrt{2}[/tex], in the decimal form that is 8.485.

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

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.

The answer is 3) Pythagorean.

A trigonometric identity derived from the Pythagorean theorem is called a Pythagorean identity.

Mathematically, the Pythagorean theorem states that

Hypotenuse^2 = Adjacent^2 + Opposite^2

Divide through by Hypotenuse^2

This gives

1 = cos^2(x) + sin^2(x)

Rewrite as:

cos^2(x) + sin^2(x) = 1

As a general rule, the above represents the basic Pythagorean identity.

Hence, the word that completes the blank is Pythagorean.

Read more about Pythagorean identity at:

https://brainly.com/question/1969941

#SPJ2

Answer:

Heres brainliest for who answered first

Step-by-step explanation:

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

___________________

Click on the crown on the bottom right of an answer if there is no crown reload the page

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:

41.8

Step-by-step explanation:

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.

Answer:

$4.39 for 6 quartz

Step-by-step explanation:

if you multiply 2.89 by 2 it's more then 4.39

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:

it's not fair, because it's only a 1 in 6 chance of rolling gold.

it would be fair if 3 of the 6 sides were gold

Answer:

it aint fair it only 1/6 listen to the other guy

Step-by-step explanation:

i needed points sorry

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:

2435 units

Step-by-step explanation:

Answer:

b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

Step-by-step explanation:

Given - The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.12 x² + 0.3 x +3.3  for 2010 through 2016.

To find - Use this model to predict the number of vinyl album sales in the country in the year 2020 where  x = 10

a) The number of vinyl album sales in the country in the year 2020 will be 20.5 million.

b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

c) The number of vinyl album sales in the country in the year 2020 will be 7.74 million.

d) The number of vinyl album sales in the country in the year 2020 will be 21.12 million.

Proof -

Given that,

The equation be - y = 0.12 x² + 0.3 x +3.3

Now,

Put x = 10 in above equation we get

y = 0.12×10² + 0.3×10 +3.3

  = 0.12×100 + 3 + 3.3

  = 12 + 6.3 = 18.3

⇒y = 18.3

∴ we get

The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

So,

The correct option be - b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.

Answer:

Step-by-step explanation:

have a nice day/night !

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:

B

promise it's B trust me

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:

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:

The red one

Step-by-step explanation:

Branlies plz Thank you!! :)

Answer:

65 pi, the closest one is 204.1 in^2

Step-by-step explanation:

This question is asking a surface area for a cylindrical bowl with top is empty, so you need to find one circle base and one rectangular side, as the hight is 4in, and wide is 10 inch, use the wide to find the circumference of the rectangular side, which is C = pi*d = 10 pi. Then the area for the rectangular side is A = 40 pi, and the area for the circle is A = pi*r^2 = (10/2)^2 * pi = 25 pi. Then add them together get Total area = 40 pi + 25pi = 65 pi or 65 * 3.14 = 204.1 in^2

=========================================================

Work Shown:

a = 9, b = 12 are the two legs of the right triangle

c = unknown is the hypotenuse

Apply the pythagorean theorem to find c

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

c^2 = 225

c = sqrt(225)

c = 15

Answer:

15

Step-by-step explanation:

Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.

pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.

12²+9²=225

Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.

√225 = 15

Answer:

3015

Step-by-step explanation:

Answer:

so the answer is 5

Step-by-step explanation:

the equation will be for this is

7x + 20 = 55

7x = 55-22

7x = 35

x = 35÷7

x=5

Answer:a²=b²+c² in a right angle triangle so answer is root 136

Step-by-step explanation: