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Mademuasel [1]
3 years ago
7

Sue has one spin of the circular spinner shown below.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Answer:

Colour | Probability

YELLOW | 0.20

WHITE | 0.18

GREEN | 0.12

RED | 0.18

BLUE | 0.32

Step-by-step explanation:

The complete question is presented on the attached image to this solution.

From the image of the spinner and the given probabilities, the combination of YELLOW, WHITE and GREEN make up exactly half of the total space on the spinner.

0.2 + 0.18 + 0.12 = 0.50

Then, BLUE and RED make up the other half of the spinner.

Probability of landing on either BLUE or RED = 1 - 0.50 = 0.50

Let P(BLUE) = x and P(RED) = y

x + y = 0.50

Two of the lines shown on the diagram are diameters of the circle.

The first line that is a diameter splits the circle into two parts; (WHITE, YELLOW, GREEN) and (RED, BLUE).

From here, we have established that x + y = 0.50

The other line that is a diameter splits The circle into two part; (WHITE, BLUE) and (YELLOW, GREEN, RED)

From this other information,

P(WHITE) + P(BLUE) = 0.50

0.18 + x = 0.50

x = 0.50 - 0.18 = 0.32

P(YELLOW) + P(GREEN) + P(RED) = 0.50

0.20 + 0.12 + y = 0.50

y = 0.50 - 0.32 = 0.18

To check, x + y = 0.32 + 0.18 = 0.50 (Correct!!)

Hope this Helps!!!

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disa [49]

Answer:

The length of the hypotenuse is 5 inches.

Step-by-step explanation:

The formula for finding the hypotenuse is a^{2} + b^{2} = c^{2},

with a and be being the two shorter sides of the triangle, while c is the hypotenuse.

Let's plug in our values for a and b and solve.

4^{2} + 3^{2} = c^{2}

16 + 9 = c^{2}

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The length of the hypotenuse is 5 inches.

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Step-by-step explanation:

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Determine whether the integral from -3 to infinity 1/sqrt (5 - x) is divergent or convergent. If it is convergent, evaluate it.
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kaitlin received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.69 per pound. after buying t
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2 years ago
1. A gambler makes 100 column bets at roulette. The chance of winning on any one play is 12/38. The gambler can either win $ 5 o
lapo4ka [179]

Answer:

a) Expected amount of the gambler's win = $0.209

b) SD = 2.26

c)P (X >1) = P(z >0.35) = 0.36317

Step-by-step explanation:

The probability of winning, p = 12/38 =6/19

Probability of losing, q = 1 -p = 1-6/19

q = 13/19

Win amount = $5

Loss amount = $2

a) Expected total amount of win = ((6/19)*5) - ((13/19)*2)

Expected total amount of win = 1.579 - 1.369

Expected amount of win, E(X) = $0.209

b) Standard Deviation for the total amount of the gambler's win

SD = \sqrt{E(X^{2}) - (E(X))^{2} }

E(X²) = (6/19)*5²  -  (13/19)*2²

E(X²) = 5.158

SD = \sqrt{5.158 - 0.209^2}

SD = 2.26

c)  probability that, in total, the gambler wins at least $1.

P(X >1)

z = \frac{X - \mu}{\sigma}

μ = E(x) = 0.209

z = (1-0.209)/2.26

z = 0.35

P( X >1) = P(z >0.35)

P(z >0.35) = 1 - P(z <0.35)

P(z >0.35) = 1 - 0.63683

P(z >0.35) = 0.36317

5 0
3 years ago
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