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3 years ago

Why do the probability of an event and the probability of its complement add up to 1

1 answer:

5 0

<span>the probability of an event and the probability of its complement add up to 1 because the total events are the even it self and its compliment, so its probability equal to 1 because these are all the possible events that will occur. for example a coin toss, an event head will happen 0.5, and its complement is tails which will also happens 0.5</span>

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Pippa had 35 stickers.

Ivan

Answer: 3 stickers

Step-by-step explanation:

From the question, we know that Pippa's 8 friends have an equal amount of stickers, meaning that the number of stickers that Pippa gave out is a multiple of 8.

Also, we are able to know that Pippa gave as much as she can, meaning that she gave out the stickers until the number is the maximum multiple of 8.

First Five Multiple of 8 = 8, 16, 24, 32, 40

As we can see from the list, 8, 16, and 24 are all multiples of 8, but they are not the maximum number that could fit under 35 stickers. Similarly, 40 exceeds the number of stickers Pippa has. Thus, we are left with 32.

This means, Pippa gave out 32 stickers in total, and each friend got 4 stickers.

32 / 8 = 4 stickers

Also, this means Pippa would keep <u>3 stickers</u> for herself.

35 - 32 = 3 stickers

Hope this helps!! :)

Please let me know if you have any questions

5 0

3 years ago

Lindsie is painting on a canvas with dimensions of 3 ft by 4 ft. She wants to make a display model for a gallery that has twice

love history [14]

Answer:

B. 1.4 feet

Step-by-step explanation:

Let, the amount of increase be 'x' ft.

Since, the length and width of the canvas are 4 ft and 3 ft respectively.

Thus, area of the canvas, $A_{c}$ = length × breadth = 4 × 3 = 12 ft²

Since, the area of display model is twice the area of the canvas. We have,

$A_{d}$ = 2 × $A_{c}$

i.e. $A_{d}$ = 2 × 12

i.e. $A_{d}$ = 24 ft².

As, the length and width of the canvas are increased by 'x'.

The, length and width of the display model are (x+4) ft and (x+3) ft.

So, we get,

$A_{c}$ = length × breadth = (x+4) × (x+3) = $x^{2} +7x+12$

Since, $A_{d}$ = 24 ft²

i.e. $x^{2} +7x+12$ = 24

i.e. $x^{2} +7x-12=0$

Solving the quadratic equation, we get,

i.e. x = -8.4 and x= 1.4

Since, the value of x cannot be negative.

Thus, x = 1.4 feet.

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3 years ago

Hurry will give brainliest!!

Ipatiy [6.2K]

Answer:

B and D

Step-by-step explanation:

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3 years ago

1 is also equal to 100/100. What percent is equal to both 1 and 100/100?

Delvig [45]

Answer:

100%

Step-by-step explanation:

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2 years ago

A phone keeps track of the number of steps taken and the distance traveled. Based on the information in the table, is there a pr

Lilit [14]

Yes there is a proportional relationship because the number of steps depend on the distance

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3 years ago