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MissTica
3 years ago
13

You’re assembling desserts with a friend. Together you can make 12 desserts in 5 minutes. How many can you make in 20 minutes?

Mathematics
1 answer:
finlep [7]3 years ago
4 0

Answer:

You both together can make 48 desserts in 20 minutes.

Step-by-step explanation:

It is a proportion.

5 minutes = 12 desserts

20 minutes = x desserts

Now let's form a proportion and find the value of "x"

5/20 = 12/ x

Cross multiplying, we get

5x = 240

Dividing both sides by 5, we get

x = 240/5

x = 48

You together can make 48 desserts in 20 minutes.

Hope this will helpful.

Thank you.

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In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) 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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

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=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
Evaluate the expression when y=-3<br><img src="https://tex.z-dn.net/?f=y%20%7B%7D%5E%7B2%7D%20%20%2B%205y%20-%204" id="TexFormul
Zielflug [23.3K]

(-3)^2+5(-3)-4

9-15-4

=-10

3 0
3 years ago
Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is Star
natima [27]

Answer:

A. 18÷2/9

Step-by-step explanation:

A. 18÷2/9

B. 18×2/9

C. 2/9÷18

D. 9/2÷18

Let

Total length of box = 18 inches

Thickness of each book = 2/9 inches

Number of books that will fit into the box = x

Number of books that will fit into the box = Total length of box ÷ Thickness of each book

x = 18 ÷ 2/9

= 18 × 9/2

= 162/2

= 81 books

The correct answer is A. 18÷2/9

7 0
3 years ago
3x−8 ≤ 23 OR −4x+26≥6 find x
ElenaW [278]

Answer:

3x-8<=23

3x<=23+8

3x< =31

X< = 10.3

or

-4x+26>=6

-4x>=-20

X>=5

6 0
3 years ago
X-1.6=2.4+0.8x solve for x. <br><br>What did I do wrong?
trapecia [35]

\bf x-1.6=2.4+0.8x\implies \stackrel{\textit{subtracting 2.4}}{x-4=0.8x}\implies \stackrel{\textit{subtracting x}}{-4=0.8x-x} \\\\\\ -4=-0.2x\implies \cfrac{-4}{-0.2}=x\implies 20=x

3 0
3 years ago
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