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3 years ago

9

Bella bought packs of stickers to give to her friends. Each pack cost $4. She spent a total of $12 on stickers. How many packs d

id she buy?
Which equation best represents the statement above?

Question 2 options:

12s = 4

4s = 12

4 + s = 12

12 + s = 4

1 answer:

boyakko [2]3 years ago

6 0

Given:

Bella bought packs of stickers to give to her friends.

Cost of each pack of stickers = $4

Total amount spent on packs of stickers = $12

To find:

The equation for the given statement.

Solution:

Let s be the number of packs of stickers.

Cost of one pack of stickers = $4

Cost of s packs of stickers = $4s

Total amount spent on packs of stickers is $12. So,

$4s=12$

Therefore, the correct option is B.

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Past records indicate that the probability of online retail orders

Tcecarenko [31]

Answer:

a) Mean = 1.6, standard deviation = 1.21

b) 18.87% probability that zero online retail orders will turn out to be fraudulent.

c) 32.82% probability that one online retail order will turn out to be fraudulent.

d) 48.31% probability that two or more online retail orders will turn out to be fraudulent.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The mean of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$p = 0.08, n = 20$

a. What are the mean and standard deviation of the number of online retail orders that turn out to be fraudulent?

Mean

$E(X) = np = 20*0.08 = 1.6$

Standard deviation

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.08*0.92} = 1.21$

b. What is the probability that zero online retail orders will turn out to be fraudulent?

This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{20,0}.(0.08)^{0}.(0.92)^{20} = 0.1887$

18.87% probability that zero online retail orders will turn out to be fraudulent.

c. What is the probability that one online retail order will turn out to be fraudulent?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{20,1}.(0.08)^{1}.(0.92)^{19} = 0.3282$

32.82% probability that one online retail order will turn out to be fraudulent.

d. What is the probability that two or more online retail orders will turn out to be fraudulent?

Either one or less is fraudulent, or two or more are. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 1) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

So

$P(X \geq 2) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

From itens b and c

$P(X \leq 1) = 0.1887 + 0.3282 = 0.5169$

$P(X \geq 2) = 1 - P(X \leq 1) = 1 - 0.5169 = 0.4831$

48.31% probability that two or more online retail orders will turn out to be fraudulent.

4 0

4 years ago

mayam bought potato chips to school she share 1/4 of her chips with friends and 1/8 of her chips with her teacher how many has s

nika2105 [10]

$\huge\underline\mathtt\colorbox{cyan}{3/8}$

$\huge\mathsf\colorbox{white}{}$

<h2>Step-by-step explanation :</h2>

Total shared part:

1/4 + 1/8

Taking LCM and adding:

2/8+1/8

Adding gives:

3/8

4 0

3 years ago

Find the equation of the line specified. The line passes through the points ( 7, -7) and ( 6, -5)

dolphi86 [110]

Simple...

you have: (7,-7) and (6,-5)

Using $\frac{ y_{1}- y_{2} }{ x_{1}- x_{2} }$ to find slope--->>>

$\frac{-7--5}{7-6} = \frac{-2}{1}$

=-2

m=-2

Using y=mx+b to find the equation of the line-->>(Use any of the coordinates)

(7,-7)

-7=-2(7)+b

-7=-14+b

-7=-14+b
+14 +14

7=b

y=-2x+7

Thus, your answer.

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4 years ago

Briefly describe scientific notation. how is it useful for writing large and small numbers? how is it useful for making approx

Alenkasestr [34]

Scientific notation, also called pattern or notation in exponential form, is a way of writing numbers that accommodate values too large (100000000000) or small (0.00000000001) to be written in a conventional manner.

The use of this notation is based on powers of 104
Example:
Big numbers:
$100000000000 = 1 * 10 ^ {11}
$
Small numbers:
$0.00000000001 = 1 * 10 ^{-11}$

However, in areas such as physics and chemistry, scientific notation is important to make approximations such as:
mass of a proton
mass of an electron and others.

4 0

3 years ago

Solve <br>60000000+63636733-7373

Yuri [45]

Answer:

your answer is 123629360

Step-by-step explanation:

60000000+63636733-7373 =123629360

i hope this helped

have a nice day,

mark brainliest if u like butterflys

7 0

3 years ago