96
/ \
8 • 12
/ \ / \
4 • 2 • 4 • 3
/ \ / \
2 2 2 2
96 is 2•2•2•2•2•3 or 2^5•3
Below is the formula for the circumference of a circle
C = 2πr
This question gives us the diameter. To find the radius (r) you would divide the diameter by two like so...
16.4/ 2 = 8.2
Plug what you know into the formula and solve...
π = 3.14
r = 8.2
C = 2(3.14)(8.2)
C = 6.28(8.2)
C = 51.496
In the question it asks to round to the nearest tenth like so...
51.5
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
E. 16 min 12 sec
Step-by-step explanation:
Let x represent total time taken to complete the exercise.
We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.
When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.
18 seconds will be equal to 0.3 minutes.
Let us find total time of exercise as:




To find readout when Dara had completed 40% of her exercise session, we need to find 60% of total time.

Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.

Therefore, the readout will indicate 16 minutes 12 seconds, when Dara had completed 40% of her exercise session.
Answer:
a) 2.5 shots
b) 59.4 shots
c) 4.87 shots
Step-by-step explanation:
Probability of making the shot = 0.6
Probability of missing the shot = 0.4
a) The expected number of shots until the player misses is given by:

The expected number of shots until the first miss is 2.5
b) The expected number of shots made in 99 attempts is:

He is expected to make 59.4 shots
c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:

The standard deviation is 4.87 shots.