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erastovalidia [21]
3 years ago
12

Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagr

am below.
If a student is randomly selected from the group, what is the probability that they are majoring in both math and science? Round your answer to the nearest whole percent.

A) 10%
B) 17%
C) 33%
D) 40%
Mathematics
1 answer:
Alchen [17]3 years ago
5 0
The sample space of the problem is 300 while the U' is equal to 100 as given. The given diagram also shows A and B separately so we can determine the part where the two coincides. The equation goes 
120 + 50 + x + 100 = 300x = 30
Hence the probability is 30/ 300 or 10%
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B

Step-by-step explanation:

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ryzh [129]

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Step-by-step explanation:

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Ys is the perpendicular bisector of xz. What is the length of Xs if xz is 18 inches long?
exis [7]

Answer:

XS is 9 inches long.

Step-by-step explanation:

Given that

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To find:

Length of XS = ?

Solution:

First of all, let us learn about the perpendicular bisector.

Perpendicular bisector of a line <em>AB</em> is a line <em>PQ</em>, which divides the line AB in two equal parts and is at an angle of 90^\circ with the line AB.

If B is on the line PQ, then BP = BQ = \frac{PQ}{2} and

\angle ABP = \angle ABQ = 90^\circ

Applying the above property in our given question.

Kindly refer to the attached image for the given dimensions.

S is on the line XZ.

XS = SZ = \frac{XY}{2} = \dfrac{18}{2} \\\Rightarrow \bold{XS = 9\ inches}

So, the answer is XS is 9 inches long.

8 0
3 years ago
Find the slope of the line on the graph.write your answer as a fraction or a whole number, not a mixed number
Leona [35]

Answer:

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Step-by-step explanation:

the graph is a negative and will therefore have a negative slope. to find the slope, pick a point on the graph and find the \frac{rise}{run}.

for instance, start with the point (0,1). Then go down 1 and left 2 to get to the next point on the graph (2,0). 1 is the "rise" and 2 is the "run" hence -1/2 being the slope.

you could also use the slope formula: \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

point 1: (0,1)    (x₁ ,y₁)

point 2: (2,0)    (x₂ , y₂)

\frac{0-1}{2-0} =-\frac{1}{2}

3 0
2 years ago
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densk [106]
28 because a constant is a number that doesn't have x attached to it.hope this helps
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3 years ago
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