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3 years ago

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David's wife sends him to the store to buy pickles and ice cream. Ice cream cost 3 dollars per pound and pickles costs 4 dollars

per pound. David has 60 dollars in his wallet. Let x be the number of pounds of ice cream and y be the number of pounds of pickles that David purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y . Express your answer with the standard form a x + b y on the left side. The budget inequality is __________________

1 answer:

Svetllana [295]3 years ago

3 0

Answer:

3x+4y=60

Step-by-step explanation:

3x+4y=60

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Consider the following binomial experiment. A company owns 4 machines. The probability that on a given day any one machine will

const2013 [10]

Answer:

There is a 73.11% probability that at least 2 machines will break down on a given day.

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 combinatios 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.

In this problem we have that:

There are 4 machines, so $n = 4$ .

The probability that on a given day any one machine will break down is 0.53. This means that $p = 0.53$ .

What is the probability that at least 2 machines will break down on a given day?

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)$

In which

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

$P(X = 2) = C_{4,2}.(0.53)^{2}.(0.47)^{2} = 0.3723$

$P(X = 3) = C_{4,3}.(0.53)^{3}.(0.47)^{1} = 0.2799$

$P(X = 4) = C_{4,4}.(0.53)^{4}.(0.47)^{0} = 0.0789$

So

$P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.3723 + 0.2799 + 0.0789 = 0.7311$

There is a 73.11% probability that at least 2 machines will break down on a given day.

7 0

3 years ago

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

nignag [31]

Answer:

None

Step-by-step explanation:

-4x-11=2(x-3x)+13

-4x-11=2x-6x+13

-4x-11=-4x+13

-11=13

Therefore, there are no solutions for the equation as both sides will never be equal to each other.

5 0

2 years ago

An advertising agency that serves a major radio station wants to estimate the mean amount of time the station’s audience members

Flura [38]

Answer:

$n=(\frac{1.645(45)}{5})^2 =219.18 \approx 220$

So the answer for this case would be n=220 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\sigma = 45$ represent the population deviation

$ME = 5$ represent the margin of error

The margin of error for the true mean is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (4) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 90% of confidence interval now can be founded using the normal distribution. The significance level is $\alpha=1-0.9=0.1$ and the critical value would be $z_{\alpha/2}=1.645$ , replacing into formula (b) we got:

$n=(\frac{1.645(45)}{5})^2 =219.18 \approx 220$

So the answer for this case would be n=220 rounded up to the nearest integer

5 0

3 years ago

Read 2 more answers

I will give brainiest answer to whomever solves this

Nezavi [6.7K]

Let the numbers be x = 5x+18

3(5x+18) + 4x= 16

15x+ 54+ 4x= 16

19x = 16-54

X=-38/19

X= -2

5x+18= 5 × -2+18 = 8

5 0

2 years ago

Write 1/3 as a power with an integer base

Viefleur [7K]

Answer:

$3^{-1}$

Step-by-step explanation:

Using the rule of exponents

$\frac{1}{a^{n} }$ ⇔ $a^{-n}$

Given

$\frac{1}{3}$ = $\frac{1}{3^{1} }$ = $3^{-1}$

7 0

2 years ago

Read 2 more answers