There are people fishing at Lake Connor: 4 have fishing licenses, and 4 do not. An inspector chooses two of the people at random. What is the probability that
the first person chosen does not have a license and the second one does? Write your answer as a fraction in simplest form

Answer:

Step-by-step explanation:

Answer:

  (a)  90°

Step-by-step explanation:

A graph can help you answer the question about where the graphs of the two functions intersect. It shows the one angle of intersection to be 90°.

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You can also determine this analytically.

  f(x) = g(x)

  cos(x/2) = √2 -cos(x/2)

  2cos(x/2) = √2 . . . . . . . . . . add cos(x/2)

  cos(x/2) = √2/2 . . . . . . . . divide by 2

  x/2 = ±45° +360°×n . . . . . for an integer n

  x = ±90 +720°×n . . . . multiply by 2

  x = 90° is the only solution in the desired range.

Answer:

Wow that's a lot of questions. The answers are 2, 3/4, 4, 6, 10, 5, 48500, 48000, and 50000

Step-by-step explanation:

Hope this helped

Linear equations are commonly organized in slope-intercept form:

[tex]y=mx+b[/tex]

To find the equation of a line given two points:

We're given:

First, determine the slope using the following formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

⇒ Plug in the given points (8,-45) and (2,-9):

[tex]m=\dfrac{-45-(-9)}{8-2}\\\\m=\dfrac{-45+9}{8-2}\\\\m=\dfrac{-36}{6}\\\\m=-6[/tex]

Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=-6x+b[/tex]

Now, determine the y-intercept:

[tex]y=-6x+b[/tex]

⇒ Plug in one of the given points as (x,y) and solve for b:

[tex]-9=-6(2)+b\\-9=-12+b\\3=b[/tex]

Therefore the y-intercept of the line is 3. Plug this back into [tex]y=-6x+b[/tex]:

[tex]y=-6x+3[/tex]

[tex]y=-6x+3[/tex]

Answer:12=59

Step-by-step explanation:

Answer: There is not enough evidence to support a relationship between lunch preference and role at the school.

Answer:

C. (1,0)

Step-by-step explanation:

If we make use of a parabolic reflecting mirror and a light source.

Given thar the equation of parabolic mirror is Y2 = 4ax

The given data in the problem is x = 1 and y = 2

So subject value is y2 = 4ax

4 = 4 a (1)

a = 1

So x = 1

thus focus is at (x, y) = (1,0)

Therefore, option C is correct answer.

Answer: 60 miles

Step-by-step explanation: If you draw it out you get a triangle with side lengths 48 and 36 and you need to find the hypotenuse.

Use pythagorean's theorem a^2+b^2=c^2 or 48^2+36^2=c^2 and you get that the hypotenuse=60

basically it's a quadrilateral

hope it really helps..!!

Answer:

29.7 cm

Step-by-step explanation:

Since A and B are related by a scale of 3:1 then :

3 × (hypotenuse of A) = (hypotenuse of B)

then

(hypotenuse of A) = (hypotenuse of B)/3

                              = 89/3

                              = 29.7

[tex]\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2[/tex]

Answer:

1/105

Step-by-step explanation:

Total Marbles= 2+6+7=15

2/15 * 1/14 = 2/210 = 1/105

(It becomes 1/14 since you take out own red marble)

[tex]s^2+10s+25\\\\=s^2+2\cdot 5 \cdot s +5^2\\\\=(s+5)^2\\\\=(s+5)(s+5)[/tex]

First, how many days are in a week?

First, Convert any mixed numbers to fractions.

Then your initial equation becomes:

2/3×7/1

Applying the fractions formula for multiplication,

=2×7 x 3×1

=14/3

Simplifying 14/3, the answer is

4 and 2/3

Therefor, your answer is 4 2/3

Answer:

5 and 6 are vertical

1 and 2 are linear pair

Step-by-step explanation:

1 and 2 are linear pair because they add up to 180 degrees

5 and 6 are across from each other so they are vertical angles

Answer:

the volume is 300cubic inches

the expression is l x w x (h-2)

Answer:

Step-by-step explanation:

32*9*21

Finding volume is simple as pie for a cube.

Length*Height*width

Answer:

2,500 square feet is the answer

Answer:

9

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

denominator is 8 as it's the total of the entire dice.

your numerator is 2 as you only have 1 #8 and 1 #7 so 1+1=2

answer is 2/8

Answer:

B) V= 4/3πr^3

Step-by-step explanation:

The volume of the cone according to the given condition is V = 4πr³/3

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.

Given that the height of a cone is two times its base diameter. we need to find the formula for the volume of cone in terms of base radius,

So, the volume of a cone in general is = π × radius² × height/3

According to the question,

The height is 2x the base diameter, that mean =

h = 2d

Since, d = 2r

So, h = 2(2r)

h = 4r

So the volume according to this condition is =

π × r² × 4r/3

V = π × 4r³/3

V = 4πr³/3

Hence the volume of the cone according to the given condition is V = 4πr³/3

Learn more about cones, click;

https://brainly.com/question/16394302

#SPJ7

Answer:

2

Step-by-step explanation:

Factors of 34 include : 1,2,17 and 34

Factors of 36 are : 1,2,3,4,6,9,12,18,36

The only two common are 1 and 2

2 is greater tha one

So the gcf is 2.

Brainliest would be appreciated

Answer:

The greatest common factor is 2.

Step-by-step explanation:

You need to find the greatest common factor between 34 and 36.

Factors of 34: 1, 2, 17, and 34.

1*34=34

2*17=34

17*2=34

34*1=34

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36.

I hope this helps! Let me know if you have any questions.

Answer:

z=60º, x=10º

Step-by-step explanation:

Question 1: 180º - 120º = 60º

Question 2:

(9x+30) = 120º

-30          -30

9x=90º

/9    /9

x=10º

Answer:

Step-by-step explanation:

Reflections of a line or a figure across an axis does not change its lengths.

Therefore, the corresponding parts are equal.

Solving for x

Solving for y

Solving for z

Answer:

Past due bills

social security number

mortgage payment

Answer:

The answer is 5550

Step-by-step explanation:

Just do

6154- 604=5550