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3 years ago

Write the explicit formula for the sequence 3, 9, 15, 21..

Mathematics

1 answer:

aivan3 [116]3 years ago

4 0

Answer: pls check out the image. The answer is in the image. Hope this helps n can u give me brainliest

Step-by-step explanation:

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On each of three consecutive days the National Weather Service announces that there is a 50-50 chance of rain. Assuming that the

kvasek [131]

Answer:

1. 50%

Step-by-step explanation:

For each day, there are only two possible outcomes. Either it does rain, or it does not, so we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 3, p = 0.5$

We want to find

NNN + RNN + NRN + NNR

This is

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125$

$P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375/tex][tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.125 + 0.375 = 0.5$

The correct answer is:

1. 50%

3 0

4 years ago

Six students shared equally the cos of 18 items in the chart. Each student paid $24. What item did they buy?

Alja [10]

Answer:

They bought the orange book

Step-by-step explanation:

The easiest way to figure this problem out would be to break it down so it seems more simple.

6 students, 18 items, each paid $24.

8*18 = 144

144/6 = $24

You would just multiply the cost of the red book, blue book, and orange book by the 18 items. Then divide your answer by the number of students.

4 0

3 years ago

We need help finding the means of the sides of this figure. (Photo attached) Thank you

VikaD [51]

Answer:

3) 5

4) 8.2

5) 6.8

6)FG = 6.4

7) EF = 3.6

8)DF = 4.8

Step-by-step explanation:

From the attached triangle, using trigonometric ratio we can find ∠G as; tan^(-1) (6/8)

Thus, ∠G = 36.87°

Still using trigonometric ratios;

FG/8 = cos 36.87°

FG = 8 cos 36.87°

FG = 6.4

3) EF + FG = EG

Since EG is 10, mean of EF and FG = 10/2 = 5

4) mean of EG and FG = (10 + 6.4)/2 = 8.2

5) EF + FG = EG

Thus; EF = EG - FG

EF = 10 - 6.4

EF = 3.6

Mean of EG and EF = (10 + 3.6)/2 = 6.8

6) FG = 6.4

7) EF = 3.6

8) Using trigonometric ratio;

DF/8 = sin 36.87

DF = 8 × 0.6

DF = 4.8

8 0

3 years ago

When solving a system of equations, how do you determine which method to use?

lisov135 [29]

How can you determine the best method of solving a system of equations?

Elimination is best used when both equations are in standard form (Ax + By = C).

Elimination is also the best method to use if all of the variables have a coefficient other than 1.

Hope this helps

3 0

3 years ago

Three friends earned more than $197 washing cars. They paid their parents $28 for supplies and then divided the rest of the mone

Umnica [9.8K]

Answer:

x>169/3

Step-by-step explanation:

x- the money that each earned

3x>197-28

3x>169

x>169/3

6 0

3 years ago