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Mkey [24]
10 months ago
9

A survey was done of students in a high school to see if there was a connection between a student's hair color and her or his ey

e color. If a student is chosen at random, find the probability The student had brown eyes and black hair? *

Mathematics
1 answer:
Daniel [21]10 months ago
8 0

ANSWER:

The probability is 0.25

STEP-BY-STEP EXPLANATION:

In this case, we must take into account the number of children who have brown eyes and black hair.

If we look at the table we can see that it is 0.25, that is, if there are 100 children, 25 have these characteristics, therefore

p=\frac{25}{100}=0.25

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The area of a rectangle is 42 square feet.
Alchen [17]

Answer:

26 ft and 46 ft.

Step-by-step explanation:

The prime  factors of 42 are 2 * 3 * 7.

Possible lengths and widths  are:

L = 7, W = 6 giving a perimeter of  2*7 + 2*6 = 26 ft.

L = 14 , W = 3  giving perimeter = 34 ft.

L = 21, W = 2 giving perimeter = 46 ft.

3 0
2 years ago
find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
2 years ago
The employees of two companies were asked how many times they checked their email during weekends. The table below shows the num
tekilochka [14]
Q1 of company A = 2.5
Q3 of company A = 8
Interquatile range = (Q3 - Q1)/2 = (8 - 2.5)/2 = 5.5/2 = 2.75

Q1 of company B = 2
Q3 of company B = 5.5
Interquatile range = (5.5 - 2)/2 = 3.5/2 = 1.75

Therefore, t<span>he interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.</span>
3 0
2 years ago
Read 2 more answers
What is the directrix of the parabola defined by 1/4(y+3)=(x-2)^2
Charra [1.4K]
This is a parabola which opens upwards and the directrix will be of the form  
y = k

the general form is 

4p(y - k) = (x - h)^2   we have:-

1/4(y + 3) = (x - 2)^2

so the vertex is at (2, -3)

4p = 1/4  so p =  1/16

so the focus will be at (2 , -2 15/16)

and directrix is  y = -3 1/16
4 0
3 years ago
Please help me!! 45 points!! Find the values of the variables in the figure. Thank you I really need this!!
Mice21 [21]

Answer:

x=2x, y=5y

Step-by-step explanation:

180-108=72+120=192,360-192=168

5 0
2 years ago
Read 2 more answers
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