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3 years ago

The probability of two events that are not mutually exclusive may be calculated using the formula

Mathematics

2 answers:

Nataly [62]3 years ago

7 0

Answer:

7/13

Step-by-step explanation:

P(A or B) = P(A) + P(B) − P(A and B)

P(red or jack) = P(red) + P(jack) − P(red and jack)

P(red or jack) = 26/52 + 4/52 − 2/52

P(red or jack) = 28/52

P(red or jack) = 7/13

qwelly [4]3 years ago

4 0

Answer:

B. 17/26

Step-by-step explanation:

they showed it on edgu

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In order to select ne board members the french club heald a election 3 members voted in the election. And 7 did not vote what pe

igor_vitrenko [27]

Answer:

30% members have voted.

Step-by-step explanation:

Given:

Number of members voted = 3

Number of members didn't vote = 7

We need to find what percentage of people voted.

Solution:

First we will find the total number of members in the election.

Now we can say that;

The total number of members in the election is equal to sum of Number of members voted and Number of members didn't vote.

framing in equation form we get;

The total number of members in the election = $7+3=10$

Now we will find the percentage of people voted.

So we can say that;

Percentage of members voted can be calculated by dividing Number of members voted from The total number of members in the election and then multiplying by 100 we get;

Percentage of members voted = $\frac{3}{10}\times100 = 30\%$

Hence 30% members have voted.

8 0

3 years ago

The sum of two consecutive positive even integers is at most 14. List all possible pairs of integers.

anastassius [24]

Let X be the first number
there is a 2 numbers distance between each even number eg.2 ,4, 6, 8, etc.
So the 2nd number is X+2
The sum of the 1st and 2nd numbers = 14
X + X+2 =14
2X +2 =14
2X = 14-2
2X = 12
X = 12/2
X = 6
Therefore,
The first number i.e, X = 6
And the second number i.e, X+2 = 6+2 =8
******************************************************************************
This is the only positive pair in case of two consecutive numbers if the are even numbers but not consecutive there will be more pairs
12 + 2 = 14
10 + 4 = 14
8 + 6 = 14 (Already found)

6 0

3 years ago

Given that 1ST GRAPH and 2N GRAPH, which theorem or postulate proves ΔPQR 3RD GRAPH ΔRST?

Monica [59]

HL congruence theorem is the answer.

Hope this helps :)

7 0

3 years ago

Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8

Gekata [30.6K]

First, let $(x,y)$ be a point in our parabola. Since we know that the focus of our parabola is the point (0,8), we are going to use the distance formula to find the distance between the two points:
$\sqrt{(x-0)^{2}+(y-8)^{2}}$

Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix, $y=c$ , is: $|y-c|$ . Since our directrix is y=-8, the distance to our point will be:
$|y-(-8)|$
$|y+8|$

Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:
$\sqrt{(x-0)^{2}+(y-8)^{2}}=|y+8|$
$(\sqrt{(x-0)^{2}+(y-8)^{2}})^{2}=|y+8|^{2}$
$(x-0)^{2}+(y-8)^{2}=y+8$

Finally, we can expand and solve for $y$ :
$x^2+y^2-16y+64=y^2+16y+64$
$x^{2}-16y=16y$
$32y=x^{2}$
$y= \frac{1}{32} x^2$

We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span> $y= \frac{1}{32} x^{2}$

3 0

3 years ago

Does doubling the radius of a sphere double the surface area? Explain your reasoning using an example.

Annette [7]

Answer:

yes

Step-by-step explanation:

because area of sphere equals =

$4\pi \: r{2}$

so if we doubled the radius the surface area will be doubled

5 0

3 years ago