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Tanzania [10]
3 years ago
12

In a group of 92 students 40 have brown eyes, 35 have hazel eyes, and 17 have blue eyes. Find the probability that a student pic

ked from this group at random either has hazel or brown eyes? Enter your answer as a fraction in the form a/b (for example 2/3, 5/7) or as an integer.
Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

as a fraction = 75/92

as a percentage = 81.52%

Step-by-step explanation:

total no of students = 92

probability that a student has hazel or brown eyes = Pr(hazel or brown)

but probability of a or b happening ie Pr(a or b) simply is Pr (a) +Pr (b)

therefore Pr(hazel or brown) = Pr(hazel)+ Pr(brown)

Pr(brown) = (no of brown eyes )/(total set of eyes)

                = 40/92 = 10/23

Pr( hazel) = (no of hazel eyes )/(total set of eyes)

                  = 35/92 =35/92

hence Pr(hazel or brown) = (10/23) + (35/92) =75/92

so there's 75/92 probability (or 0.8 out of 1 chance )to choose either hazel or brown randomly

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telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
3 years ago
Laura has $30 to spend on food for the week. Which inequality represents this? x < 30 x < 30 x > 30 x > 30
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Tyler brother works in a shoe store and the store brought a pair of shoes for $50 and sold it for $80 what percentage was the ma
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Step-by-step explanation:

Cost price=  $50

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Read the following bar graph and answer the following related questions :
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Find a center of mass of a thin plate of density delta equals 5δ=5 bounded by the lines y equals xy=x and x equals 0x=0 and the
kow [346]

Answer:

center of mass

X = \frac{my}{m} = \frac{28}{19}

Y = \frac{mx}{m} = \frac{872}{95}

Step-by-step explanation:

y = x and x = 0

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attached below is the detailed solution

M = \frac{152}{3}б

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My = \frac{224}{3}б

X = \frac{my}{m} = \frac{28}{19}

Y = \frac{mx}{m} = \frac{872}{95}

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