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3 years ago

Brian is going to take a flight from Boston, Massachusetts, to San Francisco,

Mathematics

2 answers:

Andreyy893 years ago

6 0

Answer:

Step-by-step explanation:

andrew11 [14]3 years ago

4 0

Answer: a

Step-by-step explanation:

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When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 973 co

scoray [572]

Answer: A) 71.498 ; b) 0.00152

Step-by-step explanation:

Given the following :

Number of atoms that decayed during 365 days period = 26,097

Number of days = 365

Mean number of radioactive atoms that decayed in a day:

Mean = number of decayed atoms / number rof days

Mean = 26,097 / 365

Mean = 71.498 atoms per day

B.) probability that 50 radioactive atoms decayed in a given day:

Using the poisson distribution formula :

P(x =x) = (m^x * e^-m) ÷ x!

Where m = mean

Mean (m) = 71.498

P(x = 50) = (71.498^50 * e^-71.498) / 50!

P(x = 50) = (71.498^50 * 2.7182818^-71.498) / 50!

= 4.60795E61 / 50!

= 0.0015150

6 0

3 years ago

(1.)Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (?a +

jekas [21]

Answer:

1. The slope of the line is $m=\frac{-2b+3}{2a}$ .

2. The value of a is 18.

Step-by-step explanation:

If a line passes through two points, then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

(1)

It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is

$m=\frac{-b-(b-3)}{a+3-(-a+3)}$

$m=\frac{-b-b+3}{a+3+a-3)}$

$m=\frac{-2b+3}{2a}$

The slope of the line is $m=\frac{-2b+3}{2a}$ .

(2)

If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

$m_1=\frac{5-1}{6-a}=\frac{4}{6-a}$

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

$m_2=\frac{1-7}{a+2-2}=\frac{-6}{a}$

The slopes of two parallel lines are same.

$m_1=m_2$

$\frac{4}{6-a}=\frac{-6}{a}$

On cross multiplication we get

$4a=-6(6-a)$

$4a=-36+6a$

$4a-6a=-36$

$-2a=-36$

Divide both sides by -2.

$a=18$

Therefore the value of a is 18.

8 0

3 years ago

13. What is the absolute value of I -32 I?

Temka [501]

Answer:

Step-by-step explanation:

7 0

3 years ago

Since Jacob's family moved to a house near where his grandparents live, his grandmother and grandfather have visited every Sunda

Elenna [48]

Answer:

51 books

Step-by-step explanation:

15=first visit

19=2nd visit

23=3rd and so forth...

7 0

3 years ago

Martina buys candy that costs $6 per pound. She will spend more than $60 on candy. What are the possible numbers of pounds she w

Lana71 [14]

Answer:

She will spend over 10 pounds on candy.

Step-by-step explanation:

You have to multiply 6(the amount of money for each candy) with whatever number equals 60(the total she will spend) which is 10(the amount of pounds she is buying) so she will spend more than 10 pounds.

Ex.

6×10=60

5 0

3 years ago