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Pavel [41]
3 years ago
13

Line (5,-4), slope -4 Y-intercept =

Mathematics
1 answer:
user100 [1]3 years ago
4 0

Answer:-2.75

Step-by-step explanation: y+4=-4(x-5) y+4=-4x+5/4 y=-4x-2.75

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Heidi is training for a marathon. her training started at 5km and increased by 1.5km every week.
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the school decides to raise prices of lunches. The old price for a lunch was $0.75 . Seth buys the school lunch 5 days a week. w
Elina [12.6K]

Answer:

5*0.75= 3.75 he'll spend $3.75 on lunch every week.


Step-by-step explanation:


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3 years ago
Find the midpoint of the line segment with end coordinates of: ( 2 , 1 ) and ( 4 , 5 )
Valentin [98]

Step-by-step explanation:

x1=2. y1=1. x2=4. y2=5

by midpoint formula,

2+ 4/2 = 6/2 =3

1+5 /2 =6/2 = 3

therefore,the midpoints are (3,3)

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4 0
3 years ago
Read 2 more answers
A website manager has noticed that during the evening​ hours, about 5 people per minute check out from their shopping cart and m
Over [174]

Answer:

a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is​ made

c) 0.05% probability that seven people make a purchase in the next four ​minutes

Step-by-step explanation:

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 time interval.

5 people per minute check out from their shopping cart and make an online purchase.

This means that \mu = 5

a) What model might you suggest to model the number of purchases per​ minute? ​

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per​ minute.

b) What is the probability that in any one minute at least one purchase is​ made? ​

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

P(X = 0) + P(X \geq 1) = 1

We want to find P(X \geq 1)

So

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = \frac{e^{-5}*(5)^{0}}{(0)!} = 0.0067

1 - 0.0067 = 0.9933.

99.33% probability that in any one minute at least one purchase is​ made

c) What is the probability that seven people make a purchase in the next four ​minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

\mu = 4*5 = 20

We have to find P(X = 7).

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

P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005

0.05% probability that seven people make a purchase in the next four ​minutes

8 0
3 years ago
Find the area of the parallelogram in square units.
uysha [10]
I think it’s 40
The width is 8
And the length is 5
8 x 5 is 40
3 0
3 years ago
Read 2 more answers
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