Is n=3 is a solution to the equation or 2n=6

During the first 3 days of the week, Mike read an average of 28 pages per day. During the next 4 days, Mike averaged 42 pages pe

Anestetic [448]

Answer:

36 pages per day on average

Step-by-step explanation:

Calculate the average.

3 * 28 (The first 3 days of the week where Mike reads 28 pages per day) = 84

4 * 42 (The next 4 days where Mike reads 42 pages per day ) = 168

168 + 84 = 252

To find the average using this total, divide it by the total amount of days of reading (seven days in this problem).

252 / 7 = 36

6 0

2 years ago

Jared made 12 3/4 cups of snack mix for cups of snack mix for a party. His guests are 2/3 of the mic. How much snack mix did his

Rufina [12.5K]

Answer:

8 1 /2

For this we need to determine what

2 /3 of 12 3/4 is, so we multiply the fractions together.

4 0

3 years ago

I need 3 multiples of 10 that has 3 as one of the digits

d1i1m1o1n [39]

3 multiples of 10 that have 3 in them are 30, 300, and 3000

4 0

4 years ago

Read 2 more answers

Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25dollar sign, 43, point,

mars1129 [50]

Answer:

The equation that represents the money he spent by the time he was on the trampoline is "total amount = 7 + 1.25*x" and on that day he spent 29 minutes on the trampoline.

Step-by-step explanation:

The question is incomplete, but we can assume that the problems wants us to determine an equation for the time in minutes that Raymond spent on the Super Bounce.

In order to write this equation we will attribute a variable to the amount of time Raymond spent on the trampoline, this will be called "x". There were two kinds of fees to ride the trampoline, the first one was a fixed fee of $7 while the second one was a variable fee of $ 1.25 per minnute spent playing. So we have:

total amount = 7 + 1.25*x

Since he spent a total of $43.25 on that day we have:

1.25*x + 7 = 43.25

1.25*x = 43.25 - 7

1.25*x = 36.25

x = 36.25/1.25 = 29 minutes

The equation that represents the money he spent by the time he was on the trampoline is "total amount = 7 + 1.25*x" and on that day he spent 29 minutes on the trampoline.

6 0

3 years ago

10 black balls and 5 white balls are placed in an urn. Two balls are then drawn in succession. What is the probability that the

Alex787 [66]

Answer:

The probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball is $\frac{1}{3}$ or 0.3333

Step-by-step explanation:

Probability is the greater or lesser possibility that a certain event will occur. In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law:

$P(A)\frac{number of favorable cases of A}{total number of possible cases}$

Each of the results obtained when conducting an experiment is called an elementary event. The set of all elementary events obtained is called the sample space, so that every subset of the sample space is an event.

The total number of possible cases is 15 (10 black balls added to the 5 white balls).

As each extraction is without replacement, the events are dependent. For that, the dependent probabilities are defined first

Two events are dependent on each other when the fact that one of them is verified influences the probability of the other being verified. In other words, the probability of A happening is affected because B has happened or not.

The probability of two events A and B of two successive simple experiments in a dependent compound experiment is:

A and B are dependent ⇔ P (A ∩ B) = P (A) · P (B / A)

P (A ∩ B) = P (B) · P (B / A)

As the color of the first ball that is extracted is unknown, there are two cases: that the ball is black or that the ball is white.

It will be assumed first that the first ball drawn is black. Then the probability of this happening is $\frac{10}{15}$ since the number of black balls in the urn is 10 and the total number of cases is 15. It is now known that the second ball extracted will be white. Then the number of favorable cases will be 5 (number of white balls inside the ballot urn), but now the number of total cases is 14, because a ball was previously removed that was not replaced. So the probability of this happening is $\frac{5}{14}$

So the probability that the first ball is black and the second white is:

$\frac{10}{15} *\frac{5}{14} =\frac{5}{21}$

It will now be assumed first that the first ball that is drawn is white. Then the probability of this happening is $\frac{5}{15}$ since the number of white balls in the urn is 5 and the total number of cases is 15. And it is known that the second ball drawn will be white. Then, the number of favorable cases will be 4 (number of white balls inside the urn, because when removing a white ball and not replacing it, its quantity will decrease), and the total number of cases is 14, same as in the previous case So, the probability of this happening is $\frac{4}{14}$

So the probability that the first ball is white and the second white is:

$\frac{5}{15} *\frac{4}{14} =\frac{2}{21}$

If A and B are two incompatible events, that is, they cannot occur at the same time, the probability of occurrence A or of occurrence B will be the sum of the probabilities of each event occurring separately.

These are events are incompatible, since I cannot, in a first extraction, extract a black and white ball at the same time. So:

$\frac{5}{21} +\frac{2}{21} =\frac{7}{21}=\frac{1}{3} =0.3333$

Finally, the probability that the second ball drawn is a white ball if the second ball is drawn without replacing the first ball is $\frac{1}{3}$ or 0.3333

3 0

3 years ago