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2 years ago

5

A carnival game wheel has 12 equal sections. One of the sections contains a star . To win a prize the player must land on the se

ction with the star on two
consecutive spins. What is the probability of a player winning?

Please give a detailed answer

1 answer:

krok68 [10]2 years ago

7 0

The probability of landing a star is 1/12 and when you spin it again because nothing has changed it is still 1/12 to find the probability you would multiply them. So 1/12 x 1/12 = 1/144
the probability of landing on a star two consecutive times is a 1/144 chance.

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One important test for kidney disease involves measuring the levels of bicarbonate (HCO−3) in blood. Normal bicarbonate levels f

harkovskaia [24]

Answer:

Yes there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%

$F_{calc} = 8.3457$

Step-by-step explanation:

From the question we are told that

The normal bicarbonate level is k = 23-29 mmol/L

The number of times the blood was tested is n = 6

The mean concentration for old instrument is $\= x_1 = 24.6\ mmol/L$

The standard deviation is $\sigma_1 = 1.56\ mmol/L$

The mean concentration for the new instrument is $\= x_2 = 25.9 mmol/L$

The standard deviation is $\sigma_2 = 0.54 mmol/L$

The confidence level is 95%

The level of significance is mathematically represented as $\alpha = (100 - 95)\%$

$\alpha = 0.05$

Generally the test statistics is mathematically represented as

$F_{calc} = \frac{\sigma_1 ^2}{\sigma_2^2}$

=> $F_{calc} = \frac{1.56^2}{0.54^2}$

=> $F_{calc} = 8.3457$

Generally the degree of freedom for the old instrument is is mathematically evaluated as

$df = n -1$

=> $df = 6 -1$

=> $df = 5$

Generally the degree of freedom for the new instrument is is mathematically evaluated as

$df_1 = n -1$

=> $df_1 = 6 -1$

=> $df_1 = 5$

For the f distribution table the critical value of $\alpha$ at df and $df_1$ is

$F_{tab} =5.0503$

Generally given that the $F_{calc} > F_{tab}$ it means that there is a significant difference in the standard deviations of the two sets of measurements made by the two instruments at the 95%

4 0

3 years ago

1/4(8x -16)+12x= -2(x +4)

Wewaii [24]

1/4 x (8x-16) + 12x = -2 (x+4) factor out 4 from the expression 1/4 x 4(2x-4)+12x= -2(x + 4) distribute -2 through the parenthesis -2x-8 reduce the numbers with 4 , 1/4 x (2x - 4) + 12x = -2x-8 remove parenthesis , collect like terms , 14x-4=2x-8 , combine 14x and 2x which is then 16x=-8+4 , calculate the sum of -8+4=4 , then divide both sides by 16 , it will the give you -1/4

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3 years ago

According to a survey of workers,2/20 of them walk to work, 1/20 bike, 4/20 carpool,13/20 and alone. What percent of workers

Wewaii [24]

I think it’s 15 percent

2/20=10/100
1/20=5/100
10+5=15

6 0

2 years ago

M∠GFZ = 38°, m∠ZFE = 2x+ 125, and m∠GFE = x+ 163. Find x.

igomit [66]

Answer:

equation : 38 + 2x + 125 = x + 163

x : 0

if GFE is the entire thing, and GFZ and ZFE are adjacent angle(connected by a line), then GFZ + ZFE = GFE

hope this helps :)

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2 years ago

What is 3-x equals -11

Reil [10]

3 - 14 = -11

Because you do 14 - 3 which equals eleven and then you add the negative sign

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2 years ago

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