There are 400 students at Washington Middle School, and 100 of them are in sixth grade. What percent of the students are in sixth grade?
Pick the model that represents the problem.

Answer:

5 1/3

Step-by-step explanation:

I caculated 2/3 times 8

Answer:

State yes/no in each part, and explain in a sentence or two.

(a) You have a drawer filled with 20 balls, which are colored black or white. You have 12 black and 8 white balls. You randomly select a ball, record the color, and put the ball back into the drawer. Then you go to randomly select another from the drawer. Is the probability that the second pick is white independent of what the first ball color was?

yes. This is because they are independent events. The fact that you returned the first ball back to the drawer makes the initial conditions the same so the probability of picking a white ball is the same as in the first attempt.

(b) You have a box containing 52 cards, which are either red or black. You have 26 red cards and 26 black cards. You randomly select a card (don't put it back in the box). Then you go to randomly select another card. Is the probability that the second pick is diamond independent of what the first card was?

No. This is because the total number of cards in the box has changed since you didn't put the first card back. For example, the probability of picking a diamond on the first try is: P=13/52=1/4 = 25%. But when you pick the first card and don't put it back in the box, then the probability changes. If the first card was a card other than a diamond card, then the probability will now be: P=13/51=25.5% the probability has increased. If the first card you picked was a diamond, then the probability would be still different: P=12/51=23.5% so the probability of picking a diamond on the second attempt has decreased.

(c) A basketball player is going to do a free throw 100 times at practice. They are interested in the number of goals they make each kick is either a goal or not). If each free throw attempt is independent with a 90% chance (0.90 probability) of being a goal, then is the total number of free throws that are goals in the 100 attempts following a binomial distribution?

Yes. For it to be a binomial distribution you must only have two independent outcomes. In this case, the outcomes are the shot being a goal or not. The probability for it being a goal is 90% and the probability for it not being a goal is 10%. So it is a binomial distribution.

(d) A soccer ball player is going to do 50 free kicks at practice. They are interested in the number of successes they make. If each kick is independent, but the player begins to make more free kicks the more attempts they make the probability they succeed increases the more attempts they take, P is increasing), then is the total number of successes made in the 50 attempts following a binomial distribution?

No. This is because the outcomes of a binomial distribution must remain constant independently on the number of attempts. Since the probability increases with the number of outcomes, then the outcomes will not be independent so it becomes a hypergeometric distribution.

(e) Your girlfriend has a box filled with scraps of paper, which have the names of movies (including the one you don't like). Your girlfriend randomly selects a scrap of paper from the box, reads it out loud, and sets the paper aside. Your girlfriend then randomly selects another paper. Is the probability that the second pick is the one you don't like independent of what the first picked movie was?

No. This is because the number of possible outcomes will decrease as she sets the paper aside. If the first movie she picked was a movie you like, then the probability that the second movie she picks is the one you don't like increases. If the first movie she picked was the movie you don't like, then the probability that on the second try she picked the movie you don't like decreases to zero since it has alreay been picked.

(f) Your wife has a box filled with scraps of paper, which have the names of restaurants including the first place you went out with her). Your wife randomly selects a scrap of paper from the box, reads it out loud, puts the paper back in the hat, and mixes up the scraps of paper. Your wife then randomly selects another paper. Is the probability that the second pick is the first place you went out with her independent of what the first name was?

yes. This is because when she puts the paper back in the lot, then the total number of papers in the box is the same as in the first try. In this case the number of possible outcomes and the number of desired outcomes are the same as in the first try, so the probability is the same no matter what the first pick was.

Answer:

ok! what do u need help on???

Answer: 37

Step-by-step explanation:

Answer:

The last option.

Step-by-step explanation:

When you multiply a negative by a negative it makes a positive number. Therefore, if you multiply an even number of negative numbers, you get a positive product. The other options have an odd number of negative numbers to multiply by that makes them result in a negative product.

Answer: It is 17

Step-by-step explanation:

5+2(10-4)

5+2(6)

5+12

17

Answer: 17

Step-by-step explanation: you just have to simplify

Answer:

Step-by-step explanation:

the youngest received 94,200

the middle received 107,200

the eldest received 283,600

Step-by-step explanation:

Given parameters:

Worth of the estate  = $485000

Unknown:

Amount received by each sibling = ?

Solution:

Let the amount received the eldest  = e

                                                 middle  = m

                                                 youngest  = y

                  e  = 3y

                 m = y + 13000

so;

      e + m + y  = 485000

      3y + y + 13000 + y  = 485000

         5y  = 485000 - 13000

         5y  = 472000

           y  = $94400

Eldest  = 3y  = 3 x 94400 = $283200

Middle  = $94400 + $13000 = $107400

Youngest  = $94400

Answer:

36

Step-by-step explanation:

In a Parallelogram , it is important to note that opposite sides are equal to each other.

We are given parallelogram ABCD.

We have sides: AB, BC, CD, AD.

Since opposite sides are equal then:

AB = CD

BC = AD

The perimeter of a parallelogram is the sum of all its sides.

In the question: BC=13 and AB=5

Hence,

AB = CD = 5

BC = AD = 13

Perimeter of Parallelogram ABCD = 5 + 5 + 13 + 13

= 36.

Answer:

36 boys are at the camp

Step-by-step explanation:

Answer: 36

Step-by-step explanation: just subtract 38 from 74

74-38=36

Answer:

Step-by-step explanation:

y=25x if  y is the miles and x is the time

Answer:

u just got to multiply it, for extra and faster help, use math away for ur math and its a bot so obviously it will tell you the answer and steps, hope I hekoed and plus my bday is in 6 days I'll be 13! I'm just so excited!!! I'm a girl, you could call me Che and yeah... I forgot what I was gonna say but bye and pls yall, pls be nice to me, it's close to my bday! thx.

>33333

pls mark me Brainliest! Thanks

Step-by-step explanation:

Answer:7 days

Step-by-step explanation:

Answer:

c=55t

Step-by-step explanation:

Your answer will be c=55t

Answer:

it is b

Step-by-step explanation:

when you divide exponents you subtract them. when you have parentheses you multiply the exponents. the one on the left is 6^13 and the one on the right is 6^8. 6^13 is more than 6^8.

Answer:

C

Step-by-step explanation:

I just learned about this and took a test

Answer:

It's C.

Step-by-step explanation:

Answer:

Step-by-step explanation:it’s between 30 and 50

Answer: The answer is 25

Step-by-step explanation: If you look at the kid with 200 bars he had 8 boxes, so all you had to do was divide 8 by 200. I hope this helped! : )

Answer:

Step-by-step explanation:

30 minutes UoU

Every 10 minutes he finishes 20% of the book case.

so In 10 minutes he will have 50% done, In 20 minutes 60%, in 40 minutes 100%

Answer: a. 8% ; b. Not independent; c. See tree diagram; d. Yes

Step-by-step explanation:

a. Let F = Females

M = Males

C = Those that attend college

P(F) = 80% = 0.8

P(M) = 20% = 0.2

P(C/F) = 90% = 0.9

P(C/M) = 78% = 0.78

If 90% of the females go to college, it means that 10% don't go to college.

We then use the multiplication rule and we'll get:

= 80% × 10%

= 0.8 × 0.1

= 0.08

= 8%

b. An independent event is one that the occurence of one event doesn't affect the other event from happening. However, this is not independent as the occurence of the events affect each other.

c. See attachment

The joint probability on the tree diagram will be:

= 0.72 + 0.08 + 0.156 + 0.044

= 1.00

Answer:

-59<-54

Step-by-step explanation:

Answer:

Answer is B. 5065

Step-by-step explanation:

Edge says so

Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.

What was the price of the XYZ bond on the previous day?

Edge says its C. 100 1/4

Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.

What was the price of the ABC bond on the previous day?

Edge says its D. 104 3/4

Answer:B

Step-by-step explanation:

Answer:

5,379.80

Step-by-step explanation:

you multiply $3,635 times .06, and you'll get $218.10. then you multiply $218.10 times 8. you will get $1,744.80. you then add your original amount of $3,635 and the final answer is $5,379.80

Answer:

Option pls

Step-by-step explanation:

Answer:Solution. (a) The system has no solutions if k 2 6= 3 , i.e. k 6= 6 . (b) The system has no unique solution for any value of k. (c) The system has infinitely many solution if k = 6. The general solution is given by x 1 = 3+t,x 2 = t Exercise 52 Find a linear equation in the unknowns x 1 and x 2 that has a general solution x 1 = 5+2t,x 2 = t ...

Step-by-step explanation:

SO FIRST YOU GO TO GOOGLE TYPE IN YOUR ANSWER AND THEN BAM

Answer:

It will take 14 years before the investment triples

Step-by-step explanation:

Continuous Compounding

Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.

The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:

[tex]FV = PV\cdot e^{i.t}[/tex]

Where:

FV = Future value of the investment

PV = Present value of the investment

i     = Interest rate

t     = Time

It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.

Substituting the known values:

[tex]3PV = PV\cdot e^{i.t}[/tex]

Dividing by PV:

[tex]3 = e^{i.t}[/tex]

Taking logarithms:

[tex]\ln 3=i.t[/tex]

Solving for t:

[tex]\displaystyle t=\frac{\ln 3}{i}[/tex]

[tex]\displaystyle t=\frac{\ln 3}{0.08}[/tex]

t = 13.7 years

Rounding up:

It will take 14 years before the investment triples

It will take 37.5 years before the investment triples.

The formula for calculating the future value is expressed as:

[tex]A =Pe^{rt}[/tex]

P is the principal

r is the rate (in %)

t is the time (in years)

If the investment tripled, then A = 3P. The equation will become:

[tex]3P=Pe^{rt}\\3=e^{rt}\\ln3 =lne^{rt}\\rt = 3\\0.08t =3\\t =\frac{3}{0.08} \\t =37.5 years[/tex]

Hence it will take 37.5 years before the investment triples.

Learn more here: https://brainly.com/question/18442810

Answer:

x = -3

Step-by-step explanation:

y = -x + 2

7x + 4y = -1

Subsitution method: (Substitute y)

7x + 4(-x+2) = -1

Expand.

7x + (-4x + 8) = -1

One plus and one minus make one minus. Two plus makes a plus.

7x -4x + 8 = -1

Simplify.

3x + 8 = -1

Isolate 3x.

3x = -1-8

    = -9

Find x.

x = -9 ÷ 3

  = -3

Answer:

44020

Step-by-step explanation:

Mark as Brainliest

Answer:

17

Step-by-step explanation:

There is a SUBTRACTION symbol in the problem. So, you will do the opposite, & ADD the 2 available numbers in the equation. 10+7=17

When you replace that y with 17, the equation is correct.