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3 years ago

Write the explicit formula for the geometric sequence.

1 answer:

8 0

We are given the series of <span>a1 = -5 a2 = 20 a3 = -80. In this case, we can see that this is a geometric sequence with a geometric ratio equal to 20/-5 = -80/ 20 or equal to 4. Hence, r is equal to 4, a1 is equal to -5.

The geometric sequence formula is an = a1*r^(n-1) = -5 * (-4)^ (n-1) where n is an integer. Answer is B.</span>

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Exclude leap years from the following calculations. (a) Compute the probability that a randomly selected person does not have a

Scrat [10]

Answer:

a) 99.73% probability that a randomly selected person does not have a birthday on March 14.

b) 96.71% probability that a randomly selected person does not have a birthday on the 2 nd day of a month.

c) 98.08% probability that a randomly selected person does not have a birthday on the 31 st day of a month.

d) 92.33% probability that a randomly selected person was not born in February.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A non-leap year has 365 days.

(a) Compute the probability that a randomly selected person does not have a birthday on March 14.

There are 365-1 = 364 days that are not March 14. So

364/365 = 0.9973

99.73% probability that a randomly selected person does not have a birthday on March 14.

(b) Compute the probability that a randomly selected person does not have a birthday on the 2 nd day of a month.

There are 12 months, so there are 12 2nds of a month.

(365-12)/365 = 0.9671

96.71% probability that a randomly selected person does not have a birthday on the 2 nd day of a month.

(c) Compute the probability that a randomly selected person does not have a birthday on the 31 st day of a month.

The following months have 31 days: January, March, May, July, August, October, December.

So there are 7 31st days of a month during a year.

Then

(365-7)/365 = 0.9808

98.08% probability that a randomly selected person does not have a birthday on the 31 st day of a month.

(d) Compute the probability that a randomly selected person was not born in February.

During a non-leap year, February has 28 days. So

(365-28)/365 = 0.9233

92.33% probability that a randomly selected person was not born in February.

6 0

3 years ago

PLEASE HELP! ill give brainliest

kolbaska11 [484]

Answer:

look at the sbse below

Step-by-step explanation:

∠DEC ≅ ∠DCE, ∠ACB ≅ ∠GEF,

∠B ≅ ∠F, DF ≅ BD

∠ACB ≅ ∠GEF, ∠B ≅ ∠F, DF ≅ BD, ΔABC ≅ ΔGFE.

i hope this helps you :) it took me a long time

3 0

3 years ago

URGENT AND 98 POINTS, PLEASE EXPLAIN AND ANSWER

sp2606 [1]

Answer:

The correct answer is C

Step-by-step explanation:

Just because we have correlation in a relationship does not mean that we have causation. Therefore, we can not safely say that A or B are true.

Also, it is clearly not D as we have a strong correlation between the two and cannot safely assume that they have nothing to do with one another.

6 0

4 years ago

Read 2 more answers

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,

Mandarinka [93]

Answer:

C is the equation that is perpendicular and goes through the given point.

Step-by-step explanation:

In order to find this, we first need to find an equation with the appropriate slope. Perpendicular lines have opposite and reciprocal slopes. Since the slope of the original line is 1, we need a line with -1 slope. C and D are the only such answers that have this slope.

Next we look for it to fit into the following point slope equation.

y - y1 =m(x - x1)

We use the point (2, 5) as (x1, y1). So we can plug those in the spots that we see above as well as the slope at m.

y - y1 =m(x - x1)

y - 5 = -(x - 2)

7 0

4 years ago

Write eleven thousand, forty in standard notation

9966 [12]

Answer:

11,040

Step-by-step explanation:

you put the eleven thousand, fourth in number form. Hope that this helps you and have a great day :)

6 0

4 years ago

Read 2 more answers