Help me simplify this equation

Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 1/2

siniylev [52]

Answer: The probability that Xavier and Yvonne can solve a problem but Zelda cannot is $\frac{3}{64}$

Step-by-step explanation:

We are given:

Probability of success of Xavier, $P(S)_{Xavier}=\frac{1}{4}$

Probability of failure of Xavier, $P(F)_{Xavier}=1-\frac{1}{4}=\frac{3}{4}$

Probability of success of Yvonne, $P(S)_{Yvonne}=\frac{1}{2}$

Probability of failure of Yvonne, $P(F)_{Yvonne}=1-\frac{1}{2}=\frac{1}{2}$

Probability of success of Zelda, $P(S)_{Zelda}=\frac{5}{8}$

Probability of failure of Zelda, $P(F)_{Zelda}=1-\frac{5}{8}=\frac{3}{8}$

We need to calculate:

The probability that Xavier and Yvonne can solve the problem but Zelda cannot, we use:

$P(S)_{Xavier}\times P(S)_{Yvonne}\times P(F)_{Zelda}=\frac{1}{4}\times \frac{1}{2}\times \frac{3}{8}=\frac{3}{64}$

Hence, the probability that Xavier and Yvonne can solve a problem but Zelda cannot is $\frac{3}{64}$

6 0

3 years ago

7th grade math help me pleaseeee

padilas [110]

Answer:

The answer is D

Step-by-step explanation:

3 0

3 years ago

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find the probability that a point chosen randomly inside the rectangle is in each given shape. Round answers to the nearest hund

k0ka [10]

A) 20.93%
B) 20%
C) 59.07%

Explanation
A) The total area of the rectangle is 6(10) = 60 ft². The area of the circle is 3.14(2²) = 12.56. This makes the probability of hitting the circle is 12.56/60 = 20.93%.

B) The total area of the rectangle is 60. The area of the trapezoid is 1/2(2+4)(4) = 12 ft². This makes the probability of hitting the trapezoid 12/60 = 20%.

C) The areas of the circle and trapezoid together are 12+12.56 = 24.56. This makes the rest of the area 60-24.56 = 35.44. This gives us the probability of not hitting the circle or trapezoid 35.44/60 = 59.07%

5 0

3 years ago

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(8 × 10^5) + (5 × 10^4)

ValentinkaMS [17]

Answer:

850000

Step-by-step explanation:

(8 × 10^5) + (5 × 10^4)

(8 × 100000) + (5 × 10000)

800000 + 50000

850000

3 0

3 years ago

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Please answer thank you

Nimfa-mama [501]

Answer:

Yes, (0,4) is a solution

Step-by-step explanation:

We have to plug in 0 in x and 4 in y IN BOTH THE INEQUALITIES.

IF BOTH ARE TRUE, then the system of inequalities is TRUE.

Let's check:

y ≤ -3x+4

4 ≤ -3(0)+4

4 ≤ 4

Is 4 less than OR equal to 4? Yes. THis is satisfied.

Now, checking 2nd one:

y > x^2 + 3x - 2

4 > (0)^2 + 3(0) - 2

4 > -2

Is 4 greater than -2? Yes, it is. So this is satisfied as well.

Hence, (0,4) is a solution to the system of inequalities shown.

3 0

3 years ago

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