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liraira [26]
3 years ago
13

Assume the sales representative calls 6 customers, and each call has 4 possible results: reaches the customer in person, gets an

answering machine, there is no answer, and gets a busy signal. A phone record is a list of the results of each call.
How many different phone records are possible?
Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

Answer:

81

Step-by-step explanation:

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What is the point-slope form given the following slope and a point on the line? m = 3/7 , (7, -4)
GarryVolchara [31]

Answer:

The equation is y = (3/7)x - 7.

Step-by-step explanation:

Given that the point slope form of an equation is y = mx + b where m represents the gradient and b is the y-intercept. Then, you have to substitute the following values into the equation :

y = mx + b

let \: m =  \frac{3}{7} ,x = 7,y =  - 4

- 4 =  \frac{3}{7} (7) + b

- 4 = 3 + b

- 4 - 3 = b

b =  - 7

7 0
3 years ago
WILL MARK BRIANLIEST!
gayaneshka [121]

Answer:

(4, - 2 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

x - y = 6 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

(x + x) + (y - y) = (2 + 6)

2x = 8 ( divide both sides by 2 )

x = 4

Substitute x = 4 in either of the 2 equations and solve for y

Substituting in (1)

4 + y = 2 ( subtract 4 from both sides )

y = - 2

Solution is (4, - 2 )

7 0
3 years ago
3. 325 Students attend a school, 195 are girls <br> Give the proportion of boys as a decimal
ArbitrLikvidat [17]

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abcdefghijklmnopqrstuvwxy

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6 0
3 years ago
One thousand independent rolls of a fair die will be made. Compute an approximation to the probability that the number 6 will ap
pashok25 [27]

Answer:

0.19

Step-by-step explanation:

We are given that

Number of rolls of die=n=1000

Let the event of six coming up be success.Then, in each trial , the probability of success =p=P(success)=P(6)=\frac{1}{6}

Let X be the random variable  for the number of sixes  in the 1000 rolls of die.

Then, X\sim Binom(1000,\frac{1}{6})

Since, n is very large,the binomial random variable can be approximated as normal random variable.

Mean,\mu=np=1000\times \frac{1}{6}=166.67

Variance=\sigma^2=np(1-p)=1000\times \farc{1}{6}\times (1-\frac{1}{6})=1000\times \frac{5}{36}=138.89

X\sim N(166.67,138.89)

P(150\leq X\leq 200)=P[\frac{150-166.67}{11.79}\leq \frac{X-\mu}{\sigma}\leq \frac{200-166.67}{11.79}]

=P[-1.41\leq Z\leq 2.83]=P[Z\leq 2.83]-P[Z

=\phi(2.83)-\phi(-1.41)

=0.9977-0.0793=0.9184

Thus, the probability that the number 6 appears between 150 to 200 times=0.92

Now, given that 6 appears exactly 200 times .

Therefore, other number appear in other 800 rolls .

We have to find the probability that the  number 5 will appear less than 150 times.

Therefore, for 800 rolls, let the event of 5 coming up be success.

Then , p=P(success)=P(5)=\frac{1}{5}

Let Y be the random variable denoting the number of times  5 coming up in 800 rolls.

Then, Y\sim bin(800,\frac{1}{5})

Mean,\mu=np=800\times \frac{1}{5}=160

Variance, \sigma^2=np(1-p)=800\times \frac{1}{5}(1-\frac{1}{5})=128

Y\sim N(160,128) because n is large

P(Y

P(Y

Hence, the probability that the number 5 will appear less than 150 times given that 6 appeared exactly 200 times=0.19

4 0
2 years ago
A new pair of tennis shoes at shoe show costs $80. They are on sale for 1/4 off. The sales tax is 5%. Find the total price.
oee [108]
80* 1/4= 20
80-20= 60
60.00* 5
$3.00
$63.00
I hope this is correct, good luck!
3 0
3 years ago
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