So! I have written out most of the working but ran out of space so will explain a bit here. Basically, by drawing out a diagram we can see that you have a right angled triangle, and you also know the lengths of two sides of said triangle. With this information, in order to find the distance travelled, you just need to use Pythagoras' theorem (as shown - x in the diagram is the distance the boat travels to correct itself).
For the angle, notice how it wants it relative to due east - as we have a triangle we can use to work out internal angles with trig, here I would find it easiest to find the boat's initial angle in terms of due west, then take that away from 180 to find the larger angle! I don't have a calculator with trig buttons on with me, but if you type the tan sum into a scientific calculator to find the west angle, then subtract that from 180 you'll have your answer.
Hello!
First you have to find the probability of them happening separately
To find this you do the amount of favorable outcomes over the total amount of outcomes
Joey is only 1 kid and there are 12 total
This is a chance of 1/12
Chloe is 1 kid out of 11 now since Joey was already picked
This is a chance of 1/11
Zoe is 1 kid out of 10 since Joey and Chloe was already picked
This is a chance of 1/10
To find the probability of them happening separately you multiply them together
1/12 * 1/11 * 1/10 = 1/1320
The answer is C) 1/1320
Hope this helps!
Answer:
The student's score closest to 91 percentile.
Step-by-step explanation:
Since the scores on the standardized test are approximately normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test scores.
µ = mean score
σ = standard deviation
From the information given,
µ = 480
σ = 90
If a student has a score of 600, then x = 600
For x = 600,
z = (600 - 480)/90 = 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.91
the student's score closest to 91 percentile.
51 + 30 + 69 = 150 total
probability purchased grape flavor = 30/150 = 0.2
answer
A. 0.2