In how many ways can 3 desserts be chosen in any order from a menu of 10?

Answers

Answer 1

Answer: (1 × 10) + (2 × 10) + (3 × 10) =

10 + 20 + 30 = 60 different ways.

Related Questions

Find the value of x and y
Pls halp due today thank you!
Is that the correct answer
How many 1/10 are in 3?
12 x Q greater than 12 less than 24

solve the equation 5 x - 14 = x - 7. in your final answer, be sure to state the solution and include all of your work.

Answers

5x-14=x-7
+14 +14

5x=x+7
-x -x

4x=7
/4 /4

x=1.75

Help me solve these problems please

Answers

Principal amount is $1510, so P = 1,510 dollars.

Compounding period is daily, so N = 365.

Interest rate is 12%, so r = 0.12

Time of investment is 3 years, so t = 3 years.

We can use compound interest formula as given below :-

Amount = $P*(1+(r)/(N) )^((N*t))$

$Amount=1510*(1+(0.12)/(365) )^((365*3)) \n\nAmount=1510*(1+0.000328767 )^((1095)) \n\nAmount=1510*(1.000328767 )^((1095)) \n\nAmount=1510*(1.433244609) \n\nAmount=2164.199359 \approx 2164.20 \;dollars$

Hence, total amount in account would be 2,164.20 dollars.

You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the firstversion, you are given three attempts, and you estimate that your probability of success on any given throw is 0.1.
In the second version, you are given five attempts, but the target is smaller, and you estimate that your probability of
success on any given throw is 0.05. The prizes for the two versions of the game are the same, and you are willing to
assume that the outcomes of your throws are independent. Which version of the game should you choose? (Hint: In
the first version of the game, the probability that you do not get the prize is the probability that you fail on all three
attempts.)

Answers

Answer:

$P(X=0)=(3C0)(0.1)^0 (1-0.1)^(3-0)=0.729$

And the probability of loss with the first wersion is 0.729

$P(Y=0)=(5C0)(0.05)^0 (1-0.05)^(5-0)=0.774$

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Alternative 1

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=3, p=0.1)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^(n-x)$

Where (nCx) means combinatory and it's given by this formula:

$nCx=(n!)/((n-x)! x!)$

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

$P(X=0)=(3C0)(0.1)^0 (1-0.1)^(3-0)=0.729$

And the probability of loss with the first wersion is 0.729

Alternative 2

Let Y the random variable of interest, on this case we now that:

$Y \sim Binom(n=5, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(Y)=(nCy)(p)^y (1-p)^(n-y)$

Where (nCx) means combinatory and it's given by this formula:

$nCy=(n!)/((n-y)! y!)$

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

$P(Y=0)=(5C0)(0.05)^0 (1-0.05)^(5-0)=0.774$

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

Read the following excerpt. Using the context of the paragraph, select the word that best completes the sentence.The journalist spent a year researching the foreign government's sanctions. Finally, it was time to synthesize all of the _______________ information that he had learned. His editor asked him to write a comprehensive article for the first piece in the series that was sure to win awards, inform the public, and elicit significant change in foreign policy. (3 points)

irate

relevant

keen

strategic

Answers

Answer:

Relevant

Step-by-step explanation:

Given is a text to be read. We have to select the appropriate word to fill in the blanks.

The journalist spent a year researching the foreign government's sanctions. Finally, it was time to synthesize all of the _______________ information that he had learned

Here out of four options given namely

irate, relevant, keen and strategic we find that relevant is more appropriate

So answer is relevant

Irate meaning enraged cannot suit here.

Keen is for observation and here for reading information relevant is better

Strategic is innovative ways but here not applies.

So only answer is relevant.

nally, it was time to synthesize all of the Relevant information that he had learned

Given ƒ(x) = 8x + 25, find x when ƒ(x) = 9.
A) -2
B) -1
C) 0
D) 2

Answers

A)-2
9=8x+25
-16=8x
X=-2

It takes 10 minutes to bake a batch of cookies. You need to bake 7 batches of cookies. How long will it take to bake all the cookies?

Answers

You know 1 batch of cookies = 10 minutes

Now, 7 batch of cookies = ?
To do this just do 7×10=70.
So the answer is 70 minutes = 7 batch of cookies.

You can also set up a proportion.

10 x
__ = ____
1 7

Cross multiply and 7×10=70 and 10x. So now its like this.
70= 10x
÷10 ÷10
_________
7=x

So the answer is 7.

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Tx+12y=-3the equation above is the equation of a line in the xy-plane, and t is a constant. if the slope of the line is -10, what is the value of t?