Quick I need help 23 and 24 easy seventh grade math
1 answer:
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Answer:
Step-by-step explanation:
7a + 7c = 861 ...... <em>(1)</em>
7a + 5c = 829 ..... <em>(2)</em>
<em>(1)</em> - <em>(2)</em>
2c = 32
<u><em>c = 16</em></u>
<u><em>a = </em></u>123 - 16 =<u><em> 107</em></u>
Answer:
0.2305 = 23.05% probability that exactly 2 workers say yes.
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they say yes, or they say no. The probability of a worker saying yes is independent of any other worker, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
5% of workers in the US use public transportation to get to work.
This means that
You randomly select 25 workers
This means that
Find the probability that exactly 2 workers say yes.
This is P(X = 2). So
0.2305 = 23.05% probability that exactly 2 workers say yes.
Answer:
0.5
Step-by-step explanation:
We assume your function is
The distance formula can be used to find the distance from the point on the curve (x, f(x)) to the origin:
d^2 = (x)^2 + (f(x))^2 = x^2 + (4 -x)
Written in vertex form, this is ...
d^2 = (x -1/2) + 3.75
This has a minimum at x=1/2, so that is the x-coordinate of the point closest to the origin.