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Oksanka [162]
3 years ago
13

Bridget needs an actor. Actor A is offering her services for an initial $250 in addition

Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0
\textit{Actor A charges 250 plus 50 per day}
\\ \quad \\

\begin{array}{llll}
days&charge
\\---&---\\
1&50\cdot 1\\
2&50\cdot 2\\
3&50\cdot 3\\
4&50\cdot 4\\
d&50\cdot x\implies 50d
\end{array}\quad meaning\implies A=250+50d

\textit{Actor B charges 2500 plus 60 per day}
\\ \quad \\
\begin{array}{llll}
days&charge
\\---&---\\
1&60\cdot 1\\
2&60\cdot 2\\
3&60\cdot 3\\
4&60\cdot 4\\
d&60\cdot x\implies 60d
\end{array}\quad meaning\implies B=200+60d
\\ \quad \\
when\ is A=B?\qquad well
\\ \quad \\

250+50d\quad =\quad 200+60d\impliedby \textit{solve for days "d"}
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Roughly 75% of students take the bus to school. If you were to ask 9 students in your class, what is the probability that at mos
GREYUIT [131]

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

<h3>How to find the probability?</h3>

We know that roughly 75% of the students take the bus, then, if we select a student at random.

  • There is a probability of 0.75 that the student takes the bus.
  • There is a probability of 0.25 that the student does not take the bus.

The probability that at most 8 out of 9 students take the bus, is equal to one minus the probability of the 9 taking the bus, which is:

p = (0.75)^9 = 0.075

Then we have:

P = 1 - 0.075 = 0.925

The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%

If you want to learn more about probability, you can read:

brainly.com/question/251701

3 0
2 years ago
Help quickly for 5 star and brainliest!!
HACTEHA [7]
The astroid is 100,000,000 miles away.
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5 0
3 years ago
The sample space, S, for flipping a fair coin three times is shown
Ksenya-84 [330]

Answer: \frac{7}{8}

Step-by-step explanation:

Given

Sample space is ={HHH,THH,HTH,HHT,TTH,THT,HTT,TTT}

There are 8 element in sample space which indicates the outcome of tossing a coin three times

Probability of obtaining at least one head=1-P(\text{0 head})

P(\text{0 head})=P(\text{All tails})

P=1-\frac{1}{8}

P=\frac{7}{8}

3 0
3 years ago
#54 Simplify and write the answers using positive exponents only.
kramer
Gg easy

remember
(x^m)/(x^n)=x^(m-n)
and
(x^m)^n=x^(mn)
and
(xyz)^m=(x^m)(y^m)(z^m)
and
(m/n)^a=(m^a)/(n^a)
and
x^-n=1/(x^n)

so
( \frac{6mn^{-2}}{3m^{-1}n^2} )^{-3}=
( \frac{6}{3} )^{-3}( \frac{m}{m^{-1}} )^{-3}( \frac{n^{-2}}{n^2} )^{-3}=
(2^{-3})((m^2)^{-3})((n^{-4})^{-3})=
( \frac{1}{2^3})(m^{-6})(n^{12})=
( \frac{1}{8} )( \frac{1}{m^6})(n^{12})=
\frac{n^{12}}{8m^6}

8 0
3 years ago
There are 110 calories in 8 ounces of gape juice. How many calories are in 10 ounces of grape juice?
daser333 [38]
In order to solve this problem, we need to set up a proportion.  I am setting the amount of calories in 10 ounces of grape juice equal to x.

\frac{110}{8} = \frac{x}{10}

We begin to solve this by cross multiplying.

8x = 1,100

To finish the problem, we divide both sides by 8.

x = 137.5, so the 10 ounce glass of grape juice will have 137.5 calories.
4 0
3 years ago
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