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2 years ago

Keisha is making potato casserole

Mathematics

1 answer:

lord [1]2 years ago

4 0

Answer:

4 1/2 I think

Step-by-step explanation:

I think but I'm not for sure

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Consider two independent tosses of a fair coin. Let A be the event that the first toss results in heads, let B be the event that

aliina [53]

Answer with Step-by-step explanation:

We are given that two independent tosses of a fair coin.

Sample space={HH,HT,TH,TT}

We have to find that A, B and C are pairwise independent.

According to question

A={HH,HT}

B={HH,TH}

C={TT,HH}

$A\cap B=$ {HH}

$B\cap C$ ={HH}

$A\cap C$ ={HH}

P(E)= $\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}$

Using the formula

Then, we get

Total number of cases=4

Number of favorable cases to event A=2

$P(A)=\frac{2}{4}=\frac{1}{2}$

Number of favorable cases to event B=2

Number of favorable cases to event C=2

$P(B)=\frac{2}{4}=\frac{1}{2}$

$P(C)=\frac{2}{4}=\frac{1}{2}$

If the two events A and B are independent then

$P(A)\cdot P(B)=P(A\cap B)$

$P(A\cap)=\frac{1}{4}$

$P(B\cap C)=\frac{1}{4}$

$P(A\cap C)=\frac{1}{4}$

$P(A)\cdot P(B)=\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}$

$P(B)\cdot P(C)=\frac{1}{4}$

$P(A)\cdot P(C)=\frac{1}{4}$

$P(A)\cdot P(B)=P(A\cap B)$

Therefore, A and B are independent

$P(B)\cdot P(C)=P(B\cap C)$

Therefore, B and C are independent

$P(A\cap C)=P(A)\cdot P(C)$

Therefore, A and C are independent.

Hence, A, B and C are pairwise independent.

6 0

2 years ago

Use 2 unit multipliers to convert 4 square feet to square inches

allochka39001 [22]

Answer:

4 square feet is equal 576 square inches

Step-by-step explanation:

to convert 4 square feet to square inches

Now, We know that 1 feet = 12 inches

∴ $1^{2} \ feet = 12^2 \ inches\\1\ square\ feet= 144 \ square \ inches\\$

Now we need to find 4 square feet

$4 \times 1\ square\ feet= 4\times 144 \ square \ inches\\4 \ square\ feet= 576 \ square \ inches$

5 0

2 years ago

All boys grow up 3.75 inches per year. You measure a boy who is 9 years old

Brilliant_brown [7]

Answer:

UwU UwU UwU UwU

Step-by-step explanation:

5 0

2 years ago

Solve each equation for x. 4(x-b)=x

elixir [45]

Im guessing that it is 5 but then again dont trust me XD

5 0

2 years ago

Help

vaieri [72.5K]

Answer and Step-by-step explanation:

Given Asin(wt + phi), we know that sin (A + B) = sinAcosB + sinBcosA. This means:

Asin(wt + phi) = Asin(wt)cos(phi) + Asin(phi)cos(wt).

Let Acos(phi) = c2 and Asin(phi) = c1 we have:

Asin(wt + phi) = c2sin(wt) + c1cos(wt)

8 0

2 years ago