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3 years ago

The 1st term in a geometric series is 5 and the common ratio is 2. Find the sum of the 1st 10 terms in the series.

Mathematics

1 answer:

lesya [120]3 years ago

3 0

Answer:

5115

Step-by-step explanation:

a1(1-(r)^n)/1-r

5(1-(2.00)^10)/1-2.00

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Assume that a company hires employees on Mondays, Tuesdays, or Wednesdays with equal likelihood.a. If two different employees ar

horsena [70]

Answer:

$P(A) = \frac{1}{9}$

$P(B) = \frac{1}{3}$

$P(C) = \frac{1}{729}$

Step-by-step explanation:

We know that:

Only employees are hired during the first 3 days of the week with equal probability.

2 employees are selected at random.

So:

A. The probability that an employee has been hired on a Monday is:

$P(M) = \frac{1}{3}$ .

If we call P(A) the probability that 2 employees have been hired on a Monday, then:

$P(A) =P(M\ and\ M)\\\\P(A)=( \frac{1}{3})(\frac{1}{3})\\\\P(A) = \frac{1}{9}$

B. We now look for the probability that two selected employees have been hired on the same day of the week.

The probability that both are hired on a Monday, for example, we know is $P(A) = \frac{1}{9}$ . We also know that the probability of being hired on a Monday is equal to the probability of being hired on a Tuesday or on a Wednesday. But if both were hired on the same day, then it could be a Monday, a Tuesday or a Wednesday.

$P(B) = \frac{1}{9} + \frac{1}{9} + \frac{1}{9}\\\\P(B) = \frac{1}{3}$ .

C. If the probability that two people have been hired on a specific day of the week is $3(\frac{1}{3}) ^ 2$ , then the probability that 7 people have been hired on the same day is:

$P(C) = (\frac{1}{3}) ^ 7 + (\frac{1}{3}) ^ 7 + (\frac{1}{3}) ^ 7\\\\P(C) = \frac{1}{729}$

D. The probability is $\frac{1}{729}$ . This number is quite close to zero. Therefore it is an unlikely bastate event.

6 0

3 years ago

Find the area of a circle with radius 28 cm.

vovikov84 [41]

Answer:

Area = pi x 28^2 = ~2463 (cm2)

7 0

3 years ago

Read 2 more answers

Henry wants to know the height of an outdoor sculpture. He measures the shadow of the outdoor sculpture and finds that it is 12

coldgirl [10]

Height of sculpture/shadow of sculpture = height of tower/shadow of tower

x/12 = 12/16
16x = 12*12
16x = 144
x = 144/16
x = 9

The sculpture is 9 meters tall

3 0

3 years ago

if the muffins need to be divided equally into separate gift baskets with the same number of each type of muffins in each baskey

aniked [119]

The combination can be

20 Blueberry, 24 chocolate, 16 strawberry
10 Blueberry, 12 chocolate, 8 strawberry
5 Blueberry, 6 chocolate, 4 strawberry

<h3>What is factor?</h3>

A factor is a number that is multiplied by another number to produce the desired result. The answer to a multiplication puzzle is a product. Imagine multiplying the factors in a multiplication problem to get the answer. For instance, the factors 2 and 4 add up to 8: Just two factors or a great many factors can affect a number.

Total Number of Factors for N = (a+1) (b+1) (c+1) is the formula for the total number of factors for a given number.

given:

Type Number of muffins

blueberry 40

Chocolate 48

Strawberry 32

So, muffins need to be divided equally into separate gift baskets with the same number of each type of muffins in each basket.

The possible condition can be

2 gift basket

20 Blueberry, 24 chocolate, 16 strawberry

4 gift basket

10 Blueberry, 12 chocolate, 8 strawberry

6 gift basket

5 Blueberry, 6 chocolate, 4 strawberry

Learn more about factor here:

brainly.com/question/24182713

#SPJ1

3 0

1 year ago

What is the median of this data set 14,18,31,34,44,50

DochEvi [55]

The median is 31.83

Because:

14 + 18 + 31 + 34 + 44 + 50 = 191

191 / 6 = 31.83 (the median)

6 0

3 years ago