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3 years ago

In the figure, the shaded region is formed by removing a circle of centre P and radius 5 cm

Mathematics

1 answer:

S_A_V [24]3 years ago

7 0

$\large\boxed{\fcolorbox{red}{aqua}{Radius~of~semi~circle~=~10cm}}$

$\large\underline\mathrm\purple{Diameter~is~20cm}$

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Find the zeros of the function<br> y=x^2-1

Sergio [31]

Answer:

-1 and 1 are the zeros

Step-by-step explanation:

Graph it and youll see that the curve touches the x axis at (-1,0) and (1,0)

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3 years ago

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You are in talks to settle a potential lawsuit. The defendant has offered to make annual payments of $15,000, $25,000, $40,000,

Sphinxa [80]

Answer:

All payments will be made at the end of the year by using the present value of inflows

Step-by-step explanation:

Present Value Of Inflows = Cash Inflow × Present Value Of Discounting Factor (Rate%,Time Period)

Present Value Of Inflows = $15000/1.037$ + $25000/1.037^{2}$ + $40000/1.037^{3}$ + $60000/1.037^{4}$

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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

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Probability:

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

Expected value

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

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

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The expected value of this game is -$0.26.

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3 years ago

List some values of x that would make this inequality true. -2x>10

fredd [130]

Answer:

2x>10

Step-by-step explanation:

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3 years ago

Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table?

Ganezh [65]

★ 100% of 15 = X

$\implies \mathsf{100\%\;of\;15 = \left(\dfrac{100}{100} \times 15\right) = 15}$

$\implies \mathsf{X = 15}$

★ 20% of 15 = Y

$\implies \mathsf{20\%\;of\;15 = \left(\dfrac{20}{100} \times 15\right)}$

$\implies \mathsf{20\%\;of\;15 = 3}$

$\implies \mathsf{Y = 3}$

<u>Answers</u> : X = 15 and Y = 3

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3 years ago

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