The answer is no!
<em>Mutually Exclusive </em>means both events (being female and preferring chocolate) <u>cannot occur at the same time!</u>
We know this is false because on<u> the graph it proves that some females like chocolate! </u>
An example of a Mutually Exclusive event is ( being male and female )
this <u>can't occur!</u>
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Find the probability that the person is female OR likes chocolate. The word "or" is important - it changes how we do the problem.
Let's <u>add </u>the total amount of people who like chocolate and who are female...
33 + 22 = 55
but we must <u>subtract 15</u> so we <u>won't double count </u>the girls who like chocolate!
40 / (total people)
40 / 50 = 0.80
The probabilty that some is female OR likes chocolate is 80%
I hope I helped :)
Y = x² + 4x + 4.. Since the coefficient of x² =1, is positive, then this parabola opens upward & has a minimum.
Its axis of symmetry is = -b/a = -4/1 = 4 (so x=4)
1) When x=4, y= 4²+4(4)+4 => y=36 so the VERTEX has a minimum is at (4,36)
2)FOCUS.: To be able to calculate the focus, rewrite the equation in a standard form: y-k =a(x-h)² & y = x² + 4x + 4 could be written y=(x+2)², this means that k=0 & h=-2.
Now p being the distance between the VERTEX & the FOCUS, we apply the formula (x-2)² = 4P (y-k) , but k=0 & h=2 then (x-2)² = 4P(y-0) then P =1/4
3) DRECTRICE : y=k-P = 0-1/4 ==> y=-1/4 is the directrix
First of all, assuming that the "ground level" is 0;
The lift is not starting from 0, so we also need to account for the extra 15 meters above the ground the lift is.
The total distance the lift would cover in the downward direction: 15+350=365m
Now, you know that the lift covers 5 m/min
Therefore, 5x=365 (ignoring units because they can complicate things)
x=365/5
x=73 minutes
Therefore, they would take 73 minutes to reach 350 m deep into the ground with a starting position 15 m above the ground.
Hope I helped :)
Answer:
it Is a variable..............
The area of a shape is the amount of space it can occupy.
<em>The surface area of the larger prism is 4 times the surface area of the smaller prism.
</em>
<em />
<em />
<em>Let the dimension of one side of the smaller prism be: l and w</em>
<em>Let the dimension of one side of the bigger prism be: L and W</em>
<em />
So, we have:
The area of these corresponding sides are:
---- the first
While, the area of the second is:
The ratio of these two sides are:
<em>This gives</em>
Cancel out common terms
Express as fractions
Also, we have:
This gives
Cross multiply
Hence, option (c) is true
Read more about areas at:
brainly.com/question/6465134
