Answer: 0.3125.
Step-by-step explanation:
- The chance of having a boy is 0.5,
- the chance of having a girl is also 0.5.
<u>Outcome 1: all boys</u>
boy boy boy boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
<u>Outcome 2: first child is a girl, all others are boys</u>
girl boy boy boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
<u>Outcome 3: second child is a girl, all others are boys</u>
boy girl boy boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
<u>Outcome 4: third child is a girl, all others are boys</u>
boy boy girl boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
<u>Outcome 5: fourth child is a girl, all others are boys</u>
boy boy boy girl
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Therefore,
0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125
The complete question is
A colony of <span>2^120 bacteria occupies a total volume of </span><span>1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. </span>
<span>Complete parts (a) and (b) below. </span>
<span>a) Assume that the bacteria are distributed uniformly over the planet's surface. How deep would the bacterial layer be? (You can find the approximate depth by dividing the bacteria volume by the planet's surface area.) </span>
<span>____m </span>
<span>b) Would the bacteria be knee-deep, more than knee-deep, or less than knee-deep? </span>
<span>A. The bacteria would be less than knee-deep. </span>
<span>B. The bacteria would be more than knee-deep. </span>
<span>C. The bacteria would be knee-deep. </span>
<span>D. It depends on the height of the person
</span>
Part a)
Find the approximate depth
<span>= (bacteria volume / planet surface area) </span>
<span>= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) </span>
<span>= 2.4 m
</span>
the answer Part a) is
2.4 m
Part b)
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height.
<span>2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans
</span>
therefore
the answer part b) is the option
D. It depends on the height of the person
Answer:
A. x = 3/k.
Step-by-step explanation:
5kx + 6 = 7kx
5kx - 5kx + 6 = 7kx - 5kx
6 = 2kx
x = 6 / 2k
x = 3/k.
32/1x5/6=160/6
6 goes into 160 26 times, with an extra 4.
Your answer is 26 4/6, or 26 2/3.
Hope this helps :-)
The place value of a certain digit is 10 times bigger than its adjacent digit to the right so the compare to the 5 in the thousands place it is 1000 times bigger than the 5 in the ones place and 10 times bigger than the 5 in the hundreds place
