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3 years ago

2<-1t line under the

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

5 0

Assuming we are solving for t
2<-1t
3

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Complete the equation describing how x and y are related.<br> Please need help!!!

yKpoI14uk [10]

Answer:

Step-by-step explanation:

The equation being used to express the answer is called slope-intercept form.

y = m x + b

m is the slope, b is the y-intercept (where x = 0)

The formula to find slope (m) using two points is called point slope form.

m = (y1 - y2)/(x1 - x2)

Pick two coordinates and plug them in.

m = (1 - 4)/(0 - 1)

m = (-3/-1)

m = 3

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3 years ago

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On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre

Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

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

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

$P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}$

$P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514$

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

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

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

$P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}$

$P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231$

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0

3 years ago

Eight times the reciprocal of a number equals 2 times the reciprocal of 10. Find the number.

Marat540 [252]

Answer:x=40

Step-by-step explanation:

To find this

8 times the reciprocal of a number

We get

Assume the number is x

8×1/x=2×1/10

8/x=2/10

8/x=1/5

Cross multiply

x=40

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3 years ago

Find the scale factor that was used

zimovet [89]

Scale factor is 2
30/15 = 2
20/10 = 2

3 0

2 years ago

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Mary said that the temperature outside on two differnt days had an absolute value 20. Kate said she was wrong because the temper

TiliK225 [7]

Answer:

Mary is correct we don’t know the temperature but it can be implied that one is 20 and the other is -20 because of absolute value which is the distance a number away from zero that means that you have two answers or two days in this case that both have an absolute value of 20

Step-by-step explanation:

5 0

2 years ago