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2 years ago

6

Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She th

en bought seventeen more. Write an expression for how many she has now.
i think you have to write an expression to this...

2 answers:

Zigmanuir [339]2 years ago

8 0

Ok. So if s stands for stamps then we can start our problem.

Emily sold have of her stamps: s/2. All of her stamps divided by 2

Then she changed her mind and bought some (17) more. So the final equation would be: s/2+17

Anastaziya [24]2 years ago

7 0

Answer:

s/2 +17

Step-by-step explanation:

If s represents the number of stamps Emily started with, then the number she had after selling half of them is ...

s/2

After purchasing 17 more, she had ...

s/2 +17

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2 years ago

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PLEASE PLEASE HELP! Find the measure of APB^.

Whitepunk [10]

Answer:

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Step-by-step explanation:

Radii CA and CB are perpendicular to tangent lines AT and BT, so

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Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus

$\angle CBA=\angle CAB=25^{\circ}$

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8 0

2 years ago

Factoring completely

Marianna [84]

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2 years ago

Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose

Furkat [3]

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

In which

x is the number of sucesses

$
e = 2.71828$ is the Euler number

$\mu$ is the mean in the given interval.

Binomial 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.

Poisson mean:

$\mu = 0.2$

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

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

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

$P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819$

$P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164
$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017$

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so $p = 0.181$

We want to find P(X = 0).

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

$P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671$

0.671 = 67.1% probability that neither contains a missing pulse

8 0

2 years ago

Ed is a car salesman. he makes 1.5% commission on each car he sells. if he made $397.50 on the last car he sold,find the sales p

pentagon [3]

Answer:

$26,500.

Step-by-step explanation:

It is given that Ed is a car salesman. he makes 1.5% commission on each car he sells.

He made $397.50 on the last car he sold.

We need to find the sales price of the car.

Let x be the selling price of the car.

1.5% of x = $397.50

$x\times \dfrac{1.5}{100}=397.50$

$0.015x=397.50$

Divide both sides by 0.015.

$x=\dfrac{397.50}{0.015}$

$x=26,500$

Therefore, the sales price of the car is $26,500.

4 0

2 years ago