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2 years ago

6

Which pattern follows the given rule? Rule: Start with 10 and then multiply each term by 3 to get the next term. A. 10, 13, 20,

23, . . . B. 10, 13, 16, 19, . . . C. 10, 30, 90, 270, . . . D. 10, 30, 60, 120, . . .

2 answers:

BaLLatris [955]2 years ago

8 0

B is the corect answer

Ghella [55]2 years ago

5 0

B....is the correct one

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Troyanec [42]

The graph has a y-intercept of 2 and is shifted to the right 6 from the parent function.

The parent function, y=√x, looks like a parabola laid on its side. We generally only consider the positive square root unless told otherwise. Since we have √(x-6) instead of just √x, the graph is shifted to the right 6 units. The +2 at the end of the equation shifts the graph up 2.

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3 years ago

In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers, they win 40,000 dollars. Othe

Darina [25.2K]

Answer:

The expected value of this game is -$0.26.

Step-by-step explanation:

Expected value:

Each possible earning/loss multiplied by it's probability.

Probability:

Number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.

Combinations formula:

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

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

Probability of winning:

Desired outcomes:

The 6 correct numbers, so $D = 6$

Total outcomes:

6 numbers from a set of 21. So

$T = C_{21,6} = \frac{21!}{6!15!} = 54264$

Probability:

$p = \frac{1}{54265}$

Expected value

$\frac{1}{54265}$ probability of earning 40,000.

$\frac{54264}{54265}$ probability of losing 1. So

$E = \frac{40,000}{54265} - \frac{54264}{54265} = -0.26$

The expected value of this game is -$0.26.

7 0

3 years ago

the insurance company pays the forecast of 3900 prescriptions claims out of 4500 prescription claims submitted what is the rate

nadya68 [22]

Answer:

x=0.87 or 86.67%

13 prescription claims out of 15 are paid

Step-by-step explanation:

First we organize the data:

prescription claims submitted: 4500

Prescriptions: 3900

The rate of claims paid is calculated using the following formula:

$x =\frac{Paid}{Total}$

We know that:

Paid = 3900

Total = 4500

So

$x =\frac{3900}{4500}$

$x =\frac{39}{45}$

$x =\frac{13}{15}$

x=0.87

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3 years ago

A construction team has enough asphalt to cover 600 square feet of ground.

julsineya [31]

D. 24ft by 24ft

24x24 = 576 ft squared

3 0

3 years ago

Hey um... I have a question about Cumulative frequency diagram. Its in the picture. Please help I will give you reward I promise

Mice21 [21]

Answer: see below

Step-by-step explanation:

(i)

200/2 = 100

Find 100 on cumulative frequency and the correspinding time: 14 minutes. So the answer is 14 minutes.

(ii)

First, find the lower quartile —> 200/4 = 50

Upper quartile —> 200/(3/4) = 150

Find the difference: 150 - 50 = 100

So the interquartile range is 100

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

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2 years ago