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Fudgin [204]
4 years ago
6

. One jar contains 43 grape Skittles, 23 orange, 15 yellow, 18 cherry, and 12 lime. Another jar contains 20 grape, 22 orange, 18

yellow, 21 cherry and 19 lime. You close your eyes and grab one Skittle from each jar. What is the probability both are grape? What is the probability neither are grape?
Mathematics
1 answer:
amm18124 years ago
8 0

Answer:

see below

Step-by-step explanation:

Jar 1 :

43 grape Skittles, 23 orange, 15 yellow, 18 cherry, and 12 lime = 111

P ( grape ) = 43/111

Jar 2 :

20 grape, 22 orange, 18 yellow, 21 cherry and 19 lime = 100

P ( grape ) = 20/100 = 1/5

P(grape, grape ) = 43/111 *1/5 = 43/555

Jar 1 :

43 grape Skittles, 23 orange, 15 yellow, 18 cherry, and 12 lime = 111

P ( not grape grape ) =68/111

Jar 2 :

20 grape, 22 orange, 18 yellow, 21 cherry and 19 lime = 100

P ( grape ) = 80/100 = 4/5

P(grape, grape ) =68/111 *4/5 =272/555

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The examples of human capital that an attorney might have:

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C. Strong oral presentation skills.

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1 year ago
If 4SINB=3SIN(2A+B) :<br> Prove that:7COT(A+B)=COTA
pickupchik [31]

Answer:

Step-by-step explanation:

Given the expression 4sinB = 3sin(2A+B), we are to show that the expression 7cot(A+B) = cotA

Starting with the expression

4sinB= 3sin(2A+B)

Let us re write angle B = (A + B) - A

and 2A + B = (A + B) + A

Substituting the derived expression back into the original expression ww will have;

4Sin{(A + B) - A } = 3Sin{(A + B)+ A}

From trigonometry identity;

Sin(D+E) = SinDcosE + CosDSinE

Sin(D-E) = SinDcosE - CosDSinE

Applying this in the expression above;

4{Sin(A+B)CosA - Cos(A+B)SinA} = 3{Sin(A+B)CosA + Cos(A+B)sinA}

Open the bracket

4Sin(A+B)CosA - 4Cos(A+B)SinA = 3Sin(A+B)CosA + 3Cos(A+B)sinA

Collecting like terms

4Sin(A+B)CosA - 3Sin(A+B)cosA = 3Cos(A+B)sinA + 4Cos(A+B)sinA

Sin(A+B)CosA = 7Cos(A+B)sinA

Divide both sides by sinA

Sin(A+B)CosA/sinA= 7Cos(A+B)sinA/sinA

Since cosA/sinA = cotA, the expression becomes;

Sin(A+B)cotA = 7Cos(A+B)

Finally, divide both sides of the resulting equation by sin(A+B)

Sin(A+B)cotA/sin(A+B) = 7Cos(A+B)/sin(A+B)

CotA = 7cot(A+B) Proved!

4 0
3 years ago
Simplify the given expression below: (−3 + 2i) ⋅ (2 + i) A. −8 + i B. −6 + 3i C. −3 + 4i D. −1 + 2i
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Answer:

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Step-by-step explanation:

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= -6 + i - 2

= -8 + i

7 0
3 years ago
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