Answer: 10
Step-by-step explanation:
4+ 3x (10 - 2^3)
4+ 3x (10 - 8)
4+ 3x 2
4 +6 = 10
The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units.
Answer:
This is the commutative property of multiplication.
Step-by-step explanation:
We know this because that property states that it does not matter what order the numbers are multiplied together, as long as they are all being multiplied. So even though the numbers change on both sides, it does not affect the answer.
Answer:
a) 68%; b) 99.5%
Step-by-step explanation:
The empirical rule states that 68% of data falls within 1 standard deviation of the mean; 95% of data falls within 2 standard deviations of the mean; and 99.7% of data falls within 3 standard deviations of the mean.
For part a,
We are asked the approximate percentage of women whose platelet counts are within 1 standard deviation of the mean. According to the empirical rule, this is 68%.
For part b,
We are given the endpoints of the interval. The lower endpoint is 181.5; this is 250.8-181.5 = 138.6 away from the mean. Dividing by the standard deviation, 69.3, we have
138.6/69.3 = 2
This is 2 standard deviations away from the mean.
The higher endpoint is 320.1; this is 320.1-181.5 = 138.6 away from the mean. Dividing by the standard deviation, 69.3, we have
138.6/69.3 = 2
This is standard deviations away from the mean.
This means this interval includes about 95% of women.
