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3 years ago

5

The area A, of a rectangle is 120x (exponent of 2)+78x-90 , and a length, l, of the rectangle is 12x=15. which of the following

given width, W, of the rectangle?
A. 9x+4
B. 10x - 19
C. 10x-6
D. 8x -6

1 answer:

Akimi4 [234]3 years ago

6 0

I think answer should be c. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks bye

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The amount of revenue in dollars, y, that Makayla receives from selling x posters is given by the equation y = 3x. The cost of p

d1i1m1o1n [39]

Answer:

75 posters

Step-by-step explanation:

Given

$y = 3x$ ---- Revenue

$y = \frac{x}{3} + 200$ --Cost of production

Required

Determine the number of posters that when cost equals revenue

To do this, we simply equate both equations

i.e. $3x = \frac{x}{3} + 200$

Collect like terms.

$3x - \frac{x}{3} = 200$

Multiply through by 3

$3(3x - \frac{x}{3}) = 200*3$

$9x - x = 600$

$8x = 600$

Divide both sides by 8

$\frac{8x}{8} = \frac{600}{8}$

$x = \frac{600}{8}$

$x = 75$

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3 years ago

11) Which function's graph passes through the origin?

Anit [1.1K]

Answer:

B. y=2x+x passes through the origin

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3 years ago

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Firdavs [7]

A.) 68,000
What you do is multiply 400,000 by .17

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3 years ago

Trey has a peanut allergy, so he eats granola bars that are nut free.A box of nut-free granola bars costs $4.50 after a 10% disc

jek_recluse [69]

Answer: The regular price of the granola bars were $5 each.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

<em>Discount = 10% = 0.10 (decimal form, 10/100 =0.1) </em>
<em>Cost after discount: $4.50 </em>

So, the original price of the granola bar (x) multiplied by 0.9 ( since 100% is the full price,1- 0.1= 0.9) equals to 4.50 (cost after discount)

Mathematically speaking

x (1- 0.1) = 4.50

x 0.9 =4.50

x = 4.50/0.9

x= 5

Feel free to ask for more if needed or if you did not understand something.

7 0

3 years ago

Read 2 more answers

(CO 3) Fifty-four percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that th

11111nata11111 [884]

Answer:

a) $P(X=6)=(12C6)(0.54)^6 (1-0.54)^{12-6}=0.217$

b) $P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)$

$P(X=9)=(12C9)(0.54)^9 (1-0.54)^{12-9}=0.0836$

$P(X=10)=(12C10)(0.54)^{10} (1-0.54)^{12-10}=0.0294$

$P(X=11)=(12C11)(0.54)^{11} (1-0.54)^{12-11}=0.00628$

$P(X=12)=(12C12)(0.54)^{12} (1-0.54)^{12-12}=0.000615$

And adding the values we got:

$P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)= 0.0836+0.0294+0.00628+0.000615 = 0.120$

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

Let X the random variable of interest "number of teens that have heard of a fax machine", on this case we now that:

$X \sim Binom(n=12, p=0.54)$

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:

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

Part a

For this case we want this probability:

$P(X=6)=(12C6)(0.54)^6 (1-0.54)^{12-6}=0.217$

Part b

For this case we want this probability:

$P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)$

$P(X=9)=(12C9)(0.54)^9 (1-0.54)^{12-9}=0.0836$

$P(X=10)=(12C10)(0.54)^{10} (1-0.54)^{12-10}=0.0294$

$P(X=11)=(12C11)(0.54)^{11} (1-0.54)^{12-11}=0.00628$

$P(X=12)=(12C12)(0.54)^{12} (1-0.54)^{12-12}=0.000615$

And adding the values we got:

$P(X> 8) = P(X\geq 9)= P(X=9)+P(X=10)+P(X=11)+P(X=12)= 0.0836+0.0294+0.00628+0.000615 = 0.120$

5 0

3 years ago

Read 2 more answers