In a family of 5 children what is the probability of have 1 boy and then 4 girls in any order. (Exclude multiple births and assume all outcomes)

The probability of picking a brown sock on the first draw is 6/10. Since the sock is returned to the bag, the number of socks and the number of brown socks remains the same for the second draw, so the probability of picking a brown sock on the second draw is also 6/10.

The probability of picking two brown socks is the product of the probabilities of picking a brown sock on the first draw and on the second draw, which is:

P(2 brown socks) = P(brown on first draw) * P(brown on second draw)

= 6/10 * 6/10

= 36/100

= 0.36

Therefore, the probability of picking two brown socks, if the first sock is returned in the bag before the second sock is picked, is 0.36 or 36%.

Answer:

Explanation:

A good indication of whether a student will meet an established goal or benchmark would be their performance level.

Performance level refers to a student's current level of mastery in a specific skill or subject area. If a student's performance level is at or above the established benchmark, it is likely that they will meet the goal or benchmark. However, if a student's performance level is below the established benchmark, they may require additional support or intervention to reach the desired level of achievement.

Probes and benchmarks can also provide useful information about a student's progress, but they are typically used to assess specific skills or knowledge rather than predicting future success. The rate of growth can also be a helpful indicator, but it should be considered in conjunction with the student's performance level to make a more accurate prediction of future success.

The minimum data, first quartile, median, third quartile, and maximum make up the five-number summary. A box is drawn from the first quartile to the third quartile in a box plot.

The five values in a summary are the median, the lower and upper quartiles, the maximum and minimum values in the data set. Minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value are all listed together in this sequence.

1, 2, 4, 4, 5, 5, 5, 6, 6, 6, 8, 0, 5, 6, 9, 9, 1, 5

Therefore, the five number summary is:

Minimum: 0

Q1: 5

Median: 6

Q3: 9

Maximum: 9

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Answer:

this is a SAT college question that involves solving a system of equations with two variables, P and G. P represents the number of hours of heat from a pellet stove, and G represents the number of hours of natural gas heat. The equation 0.30P+0.25G=570 means that the total cost of heating for one month is 570 dollars, where 0.30 dollars is the cost per hour of pellet stove heat and 0.25 dollars is the cost per hour of natural gas heat.

The question also gives another equation: P+G=57, which means that the total number of hours of heating for one month is 57 hours.

To find how many therms per hour does the pellet stove output, we need to solve this system of equations for P and G, and then use another formula that relates therms to kilowatt-hours (kWh).

one therm (US) is equal to 29.3001111 kWh.

We can use substitution or elimination method to solve the system of equations:

Using substitution:

P+G=57 P=57-G

Substitute P into the first equation:

0.30(57-G)+0.25G=570 17.1-0.30G+0.25G=570 -0.05G=-552.9 G=11058

Plug G into either equation to find P:

P+11058=57 P=-11001

Using elimination:

Multiply both sides of the second equation by -0.25:

P+G=57 -0.25P-0.25G=-14.25

Add both equations together:

(0.30P-0.25P)+(0.25G-0.25G)=570-14.25 0.05P=55575 P=-111015

Plug P into either equation to find G:

-111015+G=57 G=11072

We can see that both methods give us the same values for P and G.

Now we can use these values to find how many therms per hour does the pellet stove output.

We know that one therm (US) is equal to 29.3001111 kWh, so we can write:

Therms per hour = kWh per hour / 293001111

We also know that kWh per hour = Cost per hour / Cost per kWh.

in February 2023, the average cost per kWh in Kentucky was $0.11.

So we can write:

Therms per hour = (Cost per hour / $011) / 293001111

For pellet stove heat, we have:

Therms per hour = ($030 / $011) / 293001111 Therms per hour = ~0000036

Therefore, the pellet stove outputs about 0000036 therms per hour.

Explanation:

When I have an interest in something, it is easy to learn.

When you approach learning with a passive or disinterested attitude, it can be difficult to retain information or apply it in real-world situations.

So embracing your natural curiosity and actively seeking out answers to your questions is a great way to make learning easier and more enjoyable as you already have a genuine interest in it and would want to learn more about it.

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