A researcher randomly surveyed 122 college professors to determine what types of courses they teach and their sleeping habits. The two-way table displays the data.

Suppose a survey respondent is randomly selected. Let M = professor teaches math and B = professor is an early bird. What is the value of P(B|M)?

a) 17/63
b) 16/59
c) 16/33
d) 21/34

Answer:

B because 2x > 8 is 8 ÷ 2

Step-by-step explanation:

look at the photo

Answer:

a

Step-by-step explanation:

same slope

Answer:

d

Step-by-step explanation:

i say this because of the reason of how the line goes along the y and x

Answer:

0.5

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

1

2

= 0.5

θ =  

arctan( ΔY ) + 180°

ΔX

= 206.56505117708°

ΔX = 0 – 2 = -2

ΔY = 0 – 1 = -1

Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998

Equation of the line:

y = 0.5x

When x=0, y = 0

When y=0, x = -0

BRAINIEST PLEASE??

Answer: B, Parallelogram, and rectangle

Step-by-step explanation:

A parallelogram requires two parallel sides which that shape has.

A rectangle requires all angles to be right angles and that shape has all angles being right angles.

The shape is not a rhombus since all sides are not the same and it's not a square for the same reason.

Given:

The table of values.

To find:

Whether the given relation in the table is proportional or non proportional.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

[tex]\dfrac{y}{x}=k[/tex]

Where, k is the constant of proportionality.

It means the ratio of y and x remains same for proportional relation.

From the given table, the points are (10,18), (11,18.6) and (12,19.2). The ratio of y to x for these points are:

[tex]\dfrac{18}{10}=1.8[/tex]

[tex]\dfrac{18.6}{11}\approx 1.69[/tex]

[tex]\dfrac{19.2}{12}=1.6[/tex]

Since the ratio of y to x for the given points are not equal, therefore the given relation is a non proportional relation.

Answer:

4. Circumference = diameter × π

8× 3. 14= 25. 12 ~25. 1

5. 13×3. 14= 40. 82 ~40. 8

6. Diameter= radius ×2

3. 5×2=7

Diameter = 7

7× 3. 14= 21. 98 ~22

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorem:

85^2 = 67^2 + h^2, where h is the height of the TV

Then 7225 = 4489 + h^2, or

h^2 = 2736, or h = +√2736 = 52.3 inches

The TV is 52.30 inches tall if the television is advertised as an 85-inch TV if the width of the TV is 67.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We have:

A certain television is advertised as a 85 inch TV

It means the diagonal length is 85 inches.

Width of the TV = 67 inches

Let's suppose the TV is x inches Tall

So from the Pythagoras theorem:

[tex]\rm 85^2 = x^2+67^2[/tex]

7225 = x² + 4489

x = 52.30 inches

Thus, the TV is 52.30 inches tall if the television is advertised as an 85-inch TV if the width of the TV is 67.

Learn more about the right angle triangle here:

brainly.com/question/3770177

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Answer:

16

Step-by-step explanation:

just follow for more answers

Answer:

its wrong because verticle angles would need to be opposite of each other, not right next to each other. ACB and FCE would be correct

Step-by-step explanation:

im not too sure how to explain it, verticle angles are across from each other

Answer:

4418

Step-by-step explanation:

2 inches=94ft

1 inch=47ft

94*47= 4418 ft

Answer:

[tex](-4,-13)[/tex] and [tex](4,3)[/tex] the intersection points.

Step-by-step explanation:

Intersection point of two functions is a common point which satisfies both the functions.

Given functions are,

[tex]f(x)=2x-5[/tex]

[tex]g(x)=x^2+2x-21[/tex]

For a common point of these functions,

[tex]f(x)=g(x)[/tex]

[tex]2x-5=x^2+2x-21[/tex]

[tex]-5=x^2-21[/tex]

[tex]0=x^2-16[/tex]

[tex]x^2=16[/tex]

[tex]x=-4,4[/tex]

For [tex]x=-4[/tex],

[tex]f(-4)=g(-4)=2(-4)-5[/tex]

                       [tex]=-13[/tex]

For [tex]x=4[/tex],

[tex]f(4)=g(4)=2(4)-5[/tex]

                  [tex]=3[/tex]

Therefore, [tex](-4,-13)[/tex] and [tex](4,3)[/tex] the intersection points.

Answer: c=35

D=90

E=55

Step-by-step explanation:

Since d is a right angle it is 90. Take 90 and subtract it from 180 to get 90.Set them equal to 90 so 3x+11+5x+15=90

Simplify

8x+26=90

8x=64

X=8

Now take x and plug it in for each equation

3(8)+11=35

5(8)+15=55

So measured of c is 35

Measure of e is 55

And d is 90

hope this helps

Answer:

0

Step-by-step explanation:

because you have to look at what both sides of the graph is doing as it approaches 2.

from the left, we can see the the graph is going down All the way to 0 at x=2.

and from the right side, the graph is going up to 0 at x=2.

therefore the graph is approaching 0.

The limit of h(x) as x tends to 2 is equal to 0.

Remember that a limit is not the same as an evaluation, the limit studies the behavior of the function near the value, not in x = 2.

While we can see that h(2) = 3 (we have a jump there). We can see that around x = 2 the function tends to zero.

From that, we conclude that:

[tex]\lim_{x \to \ 2} h(x) = 0.[/tex]

Then the correct option is the first one.

If you want to learn more about limits:

https://brainly.com/question/5313449

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Answer:

-29

Step-by-step explanation:

-5x^2-6y^2

substitute the x and y values

-5(1)^2-6(2)^2

-5-6*4

-5-24

-29

Answer:

50

Step-by-step explanation:

68+62=130 then subract 180-130 and have 50 so x=50

Answer:

x°=50°

Step-by-step explanation:

Because of the Vertical Angle Theorem, the blank angle across from 68° is the same measure. Therefore, since the blank angle is 68°, then x° would be 50° because 180-62-68=50 due to the Triangle Angle Sum Theorem.

x = 24.35°

Step-by-step explanation:

Recall that

cos²x - sin²x = cos 2x

which means that

cos 2x = 0.66 ---> 2x = cos^-1 (0.66) = 48.7°

or x = 24.35°

Answer:

x = 24.35, 155.65, 204.35, 335.65  degrees ( for 0 < x < 360 degrees).

Step-by-step explanation:

cos²x - sin²x = 0.66

cos^2 x = 1 - sin^2 x so

1 - sin^2 x - sin^2 x = 0.66

1 - 2sin^2 x = 0.66

2sin^2 x = 1 - 0.66

sin^2x = 0.34/2 = 0.17

sin x = +/- √0.17

= +/- 0.41231

x = 24.35 degrees ( in first quadrant)

and 180 + 24.35 = 204.35 degrees in third quadrant.

Answer:

The answer is B: 10 + 3 = 7

Answer:

20°

Step-by-step explanation:

It's a catch. Draw a stronger line (along the circle) from V, going through Z, W, X, and getting to Y. That measures 320°.

Since the whole circle is 360° the segment YV measures 40°. Therefore, angle VXY = 20°.

Answer:

2/15

Step-by-step explanation:

P(B,B) = 4/10 x 3/9

= 2/5 x 1/3 or 2/15

Answer:

the answer is 130 because why not

Answer:

The answer is 7.33 m

Step-by-step explanation:

Answer:

4791.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = 1/3πr^2h

Putting values

V = 1/3(3.14)(4)^2(3)

= 50.24

Answer:

4000

Step-by-step explanation:

200 + 200 {100

400 × 10

4000

Answer:

4000

Step-by-step explanation:

because the 200+200 are in parenthesis that shows that you will need to do it first.

so.. 200+200=400

and now the second part is asking for the square root of 100. We know that 10 times 10 is 100. This means that 10 is the square root of 100.

And for our last step they ask to multiply our two answers.

so 400 x 10= 4000

The answer is D. (7,8)

You are able to count from 0 to ten, and you always put the x number first!

Hope this helps :)

Answer:

x = 15

Step-by-step explanation:

hope this helps, have a great day/night!!

Answer:

15

Step-by-step explanation:

40=8(x - 10)

Distributive property

40 = 8x - 80

Add 80 on both side

120 = 8x

Divide both sides by 8

120/8 = 15

x = 15

Answer:

7.97%

Step-by-step explanation:

Given data

Original Salary= $32,000

Increase= $2,550.00

percent increase= increase/original *100

Percent increase= 2,550.00/32000*100

Percent increase=  0.0796875*100

Percent increase= 7.97%

Hence the increase is  7.97%