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3 years ago

If you and a friend each toss two pennies at the same time, what is the probability that all four pennies will be tails?

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

4 0

Answer:

1/16

Step-by-step explanation:

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Find the distance between the points (2,3) (-3,-6)

Valentin [98]

Answer:

10.3

Step-by-step explanation:

As we move from (-3,-6) to (2,3), x increases by 5 (this is the horizontal distance between (2,3) and (-3,-6) ) and y decreases by 9 (vertical distance).

We apply the Pythagorean Theorem here:

d^2 = x^2 + y^2, or

d^2 = (5)^2 + (-9)^2 = 25 + 81 = 106

Thus, the distance between (2,3) and (-3,-6) is d = sqrt(106), or approx.

10.3.

7 0

3 years ago

A store opens at 8am. From 8 until 10 customers arrive at a Poisson rate of four an hour. Between 10 and 12, they arrive at a Po

SVETLANKA909090 [29]

Answer:

The probability distribution of the number of customers that enter the store on a given day is:

$P(x=k)=\frac{57^ke^{-57}}{k!}$

Step-by-step explanation:

To calculate a parameter for the given day, we have to calculate what is the average arrival rate for the day.

This can be done with the data given:

1) From 10 to 12, 8 arrival/hour: 16 expected arrivals in this period

2) From 12 to 2, 8 to 12 arrival/hour (average: 10 arrivals): 20 expected arrivals in this period.

3) From 2 to 5, from 10 to 4 arrival/hour (average: 7 arrivals): 21 expected arrivals in this period.

The total expected arrivals in a day are: 16+20+21=57 arrivals/day.

Then, the probability distribution of the number of customers that enter the store on a given day is:

$P(x=k)=\frac{57^ke^{-57}}{k!}$

5 0

3 years ago

5x^3+9x^2+6x+1 times the polynomial x?

zhannawk [14.2K]

Answer:

$(5x^{4} + 9x^{3} + 6x^{2} + 1x)$

Step-by-step explanation:

$(5x^{3} + 9x^{2} + 6x + 1) * x$

Multiplying the term by x, adds 1 to the power.

$5x^{3} * x = 5x^{3+1} = 5x^{4}$

Therefore

$(5x^{3} + 9x^{2} + 6x + 1) * =\\(5x^{4} + 9x^{3} + 6x^{2} + 1x)$

6 0

4 years ago

Find the 8th term of the geometric sequence: 1/3, -1, 3

olga55 [171]

Step-by-step explanation:

a= 1/3

common ratio = -3

the 8th term is given by,

$a {r}^{7} = \frac{1}{3} \times {( - 3)}^{7}$

$= - 729$

7 0

3 years ago

The diameter d in inches of a rope required to lift a weight of w tons is given by the function d = 10w/ π . How much weight can

Ilia_Sergeevich [38]

Answer:

Option D) 1.26 tons

Step-by-step explanation:

we have

$d=\frac{10w}{\pi}$

where

d is the diameter of a rope in inches

w is the weight in tons

we have

$d=2(2)=4\ in$ ----> the diameter is two times the radius

substitute the value of d and solve for w

$4=\frac{10w}{\pi}$

$w=\frac{4\pi}{10}=0.4\pi\ tons$

assume

$\pi =3.14$

$0.4(3.14)=1.26\ tons$

7 0

3 years ago

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