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3 years ago

Anna is planning a birthday party for her brother Juan. She is planning on serving hamburgers to her guests.

1 answer:

7 0

The least amount of hamburger patties anna could buy would be 24 and that is 2 packs of 12. this is because the LCM of 12 and 8 is 24

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A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the

iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

$Event\ 1 = \{1,2,3,4,5,6\}$

Next, we list out the sample space of F

$Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\$

$6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}$

In (1): the sample space of E is:

$E = \{1\}$

So:

$P(E) = \frac{n(E)}{n(Event\ 1)}$

$P(E) = \frac{1}{6}$

In (2): the sample space of F is:

$F = \{5,5,5,5\}$

So:

$P(F) = \frac{n(F)}{n(Event\ 2)}$

$P(F) =\frac{4}{36}$

$P(F) =\frac{1}{9}$

For E and F to be independent:

$P(E\ and\ F) = P(E) * P(F)$

Substitute values for P(E) and P(F)

This gives:

$P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}$

$P(E\ and\ F) = \frac{1}{54}$

However, the actual value of P(E and F) is 0.

This is so because $E = \{1\}$ and $F = \{5,5,5,5\}$ have 0 common elements:

So:

$P(E\ and\ F) = 0$

Compare $P(E\ and\ F) = \frac{1}{54}$ and $P(E\ and\ F) = 0$ .

These values are not equal.

Hence: the two events are not independent

6 0

3 years ago

PLS HELP WILL MARK BRAINLIESTTT What is the solution to this inequality?

vagabundo [1.1K]

Answer:

a. x > 0.2

Step-by-step explanation:

In either order, subtract the left-side constant and divide by the x-coefficient.

3x +2.4 > 3

3x > 0.6 . . . . . . subtract 2.4

x > 0.2 . . . . . . . divide by 3

x + 0.8 > 1 . . . . divide by 3

x > 0.2 . . . . . . . subtract 0.8

8 0

3 years ago

Help this makes no sense to me and its due in 1 day

Ganezh [65]

First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.

RT=24

Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

The geometric mean of 32 and TS is 24, so set up equation.

2nd root or square root of 32*TS=24

32*TS=576

TS=18

QS=18+32=50

I hope this answer helped if you have any questions feel free to ask me in the comments.

7 0

2 years ago

Iliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the

boyakko [2]

I-F=100(86-65)/65 - 100(80-70)/70 = 18%

Iliana's increase was 18% more than Fiona's increase.

5 0

3 years ago

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Two six-sided number cubes are rolled at the same time. What is the probability that the result will have at least one two in it

skelet666 [1.2K]

Answer:

The probability is 1/6 I hope you find this helpful.

3 0

2 years ago

Read 2 more answers