Asix-sided number cube is tossed and a coin is flipped. the sample space is {1h, 2h, 3h, 4h, 5h, 6h, 1t, 2t, 3t, 4t, 5t, 6t}.what is the probability of rolling a number greater than 2 and flipping heads? enter your answer, as a fraction in simplest form, in the box.

Since you're already given the sample space, we can simply count how many outcomes satisfy the request, and divide that number by the cardinality of the sample space.

In other words, we're using the formula

So, the outcomes with a number higher than two are

3H, 4H, 5H, 6H, 3T, 4T, 5T, 6T

out of these outcomes, we can filter those with heads flipped:

3H, 4H, 5H, 6H

So, there are 4 cases out of 12, and the probability is thus

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

#faazmessi

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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