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3 years ago

Anna baked 3 batches of cookies with c cookies in each batch. She then ate 8 cookies!

Mathematics

2 answers:

Romashka [77]3 years ago

8 0

If your looking for the equation...

3c-8

RSB [31]3 years ago

5 0

For this case we will pose an equation according to the amount of cookies left after Anna ate 8.

So:

If I bake 3 batches of cookies and each batche had "c" cookies, then we have: $3c$ .

IF Anna ate 8 we have:

$3c-8$

Thus, equation 3c-8 represents the amount of cookies left after Anna ate 8.

ANswer:

$3c-8$

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A coin is rigged so that the probability of tossing a head is 0.61. The coin is tossed until the first time that a head turns up

Fiesta28 [93]

Answer:

For this case the probability of getting a head is p=0.61

And the experiment is "The coin is tossed until the first time that a head turns up"

And we define the variable T="The record the number of tosses/trials up to and including the first head"

So then the best distribution is the Geometric distribution given by:

$T \sim Geo (1-p=1-0.61)$

Step-by-step explanation:

Previous concepts

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

$X\sim Geo (1-p)$

Solution to the problem

For this case the probability of getting a head is p=0.61

And the experiment is "The coin is tossed until the first time that a head turns up"

And we define the variable T="The record the number of tosses/trials up to and including the first head"

So then the best distribution is the Geometric distribution given by:

$T \sim Geo (1-p=1-0.61)$

3 0

3 years ago

There are 8 juice boxes in the refrigerator. Each box holds cup of juice. How many cups of juice are in the refrigerator? A stud

Zanzabum

Don't hold me to it, but I think the answer is D.) 4 cups

6 0

3 years ago

Read 2 more answers

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno

Ket [755]

Answer:

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5 ml

Standard Deviation, σ = 0.4 ml

We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(paint cans contain less than 5.54 ml of the dye)

$P( x < 5.54) = P( z < \displaystyle\frac{5.54 - 5}{0.4}) = P(z < 1.35)$

Calculation the value from standard normal z table, we have,

$P(x < 5.54) =0.9115 = 91.15\%$

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

5 0

3 years ago

Jim deposits 6000 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the f

Alex73 [517]

Answer:

$600 interest will be paid in the first 5 years

Step-by-step explanation:

Simple interest is calculated only on the principal or initial amount deposited. Jim deposits 6000 into an account that pays simple interest at a rate of 2% per year. The formula for simple interest is expressed as

I = PRT/100

Where

I represents interest after the given time.

R represents the interest loan on the principal.

T represent number of time in years.

P represents principal or initial amount deposited.

From the information given,

R = 2

P = 6000

T = 5

I = (6000 × 2 × 5)/100 = $600

6 0

3 years ago

Please I’m begging<br> I’ll do anything

Leto [7]

Answer:

x = 12

y = 12√3

Step-by-step explanation:

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3 years ago