0.088
Step-by-step explanation:
The total number of balls in the urn is;
8 + 5 = 12
Because the pink balls are 8, then the probability of picking a pink ball from the urn is;
8/12
To get the probability that all 6 balls drawn from the urn are pink, we will use the AND probability rule of the mutually exclusive events which means we’ll multiply the probabilities of each of the six pink balls;
8/12 * 8/12 * 8/12 * 8/12 * 8/12 * 8/12
= 0.088
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Answer:
8 units
Step-by-step explanation:
Since both are on the same place in terms of the x-axis, this makes it much easier. Just go from (-1,4) and move upwards upon the graph until your at (-1,12). You counted 8 units. *mic drop*
Answer:
cos 30° =767.6/hypotenus
(make h the subject of the formular)
h = 767.6/cos 30°
h =767.6/0.154
h =4,985
approximately 5,000
Niklas takes a dose of 25 micrograms of a certain supplement each day. The supplement has a half life of 4 hours, meaning that 1/64 of the supplement remains in the body after each day. How much of the supplement is in Niklas's body immediately after the 12th dose? Round your final answer to the nearest hundredth.
Answer:
The amount of the supplement in Niklas body immediately after the 12th dose is 430 micrograms to the nearest hundreth
Step-by-step explanation:
Half life is the time required for an element to decay into half of its initial size.
Given that :
The supplement has a half life of 4 hours, this implies that it decay to half of its size every 4 hours.
∴ there are 6 stages of division in a day.
i.e

The amount of the supplement in Niklas body after the first dose (first day) can be calculated as:
=
× 25
= 0.390625 micrograms
It is said that he used the supplement daily for 12 days (12th dose),
As such ; we can estimate the amount of the supplement that is in his body immediately after the 12th dose; which is calculated as:
amount in his body per day × number of period for complete decay
= 0.390625 × 11
= 4.296875
≅4.30 micrograms
= 430 micrograms to the nearest hundreth
The amount of the supplement in Niklas body immediately after the 12th dose is 430 micrograms to the nearest hundreth