Ask question

Ask question

All categories

3 years ago

8

There are 5 students in a small class. To make a team, the names of the 3 of them will be drawn from a hat. How many different t

eams of 3 students are possible?

1 answer:

AleksandrR [38]3 years ago

3 0

You can have 5 ex.
<span>abc
abd
abe
acd
ace
ade
bcd
bce
bde
cde</span>

You might be interested in

A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye

Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we select appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sum of values of <em>X</em>, i.e ∑<em>X</em>, will be approximately normally distributed.

Then, the mean of the distribution of the sum of values of X is given by,

$\mu_{x}=n\mu$

And the standard deviation of the distribution of the sum of values of X is given by,

$\sigma_{x}=\sqrt{n}\sigma$

The information provided is:

<em>μ</em> = $970

<em>σ</em> = $129

<em>n</em> = 102

Since the sample size is quite large, i.e. <em>n</em> = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

$\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)$

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

$P (\sum X \leq 100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}$

$=P(Z$

*Use a <em>z</em>-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

6 0

2 years ago

The equation y = 11x represents the liters of water a baseball team drinks each practice. This equation shows that after two pra

Stells [14]

The constant of proportionality is equal to 11.

<h3>Constant of Proportionality</h3>

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. Other names for the constant of proportionality include the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

In this question, the constant of proportionality is that value that doesn't change or represents the number of players while x represented the number of games they played.

The constant of proportionality can be solved mathematically as

$y = 11x\\x = 2\\22 = 11(2)\\22 = 22\\$

The constant of proportionality is the value that makes y = 11x and it is 11.

Learn more on proportionality here;

brainly.com/question/28413384

#SPJ1

4 0

9 months ago

Solve the equation.<br><br> 8 – 2x = –8x + 14<br><br> Will give Brainliest if explained.

eimsori [14]

Answer:

x = 1/3

Step-by-step explanation:

Move all terms containing x to the left side of the equation.

8+6x=10

Move all terms not containing x to the right side of the equation

6x=2

Divide each term by 6 and simplify.

Exact Form:

x=1/3

Decimal Form:

x=0.3333333333

Hope this helps!

3 0

2 years ago

3+[-(-8)]<br>simplified or evaluated

Semmy [17]

Answer:

11

Step-by-step explanation:

Double negative makes positive

6 0

3 years ago

Read 2 more answers

You get a paycheck every 2 weeks your annual salary is $39,000. Can you get the same amount for each paycheck?explain why or why

seropon [69]

Yes. You actually can have the same amount for each pay check. Because there are about 52 weeks in a year, you divide that by two, which goes to how many paychecks you get in a year. If you divide $39,000 by 26 weeks, you will get $1,500. So that equals to every time you get a paycheck, you get $1,500.

6 0

3 years ago