There are 12 months in a year.
Use the drop-down menus to help write the equation that can be used to find the
number of months, m, given the number of years, y

Using a discrete probability distribution, it is found that:

a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

c) The expected value is of 1.3 lawns mowed on a randomly selected day.

Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:

Item a:

P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

Item b:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8[/tex]

There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

Item c:

The expected value of a discrete distribution is given by the sum of each value multiplied by it's respective probability, hence:

E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.

The expected value is of 1.3 lawns mowed on a randomly selected day.

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Answer:

Step-by-step explanation:

(2x-30) + 40 + (x+20)=180

=3x+30=180

=3x=150

=x=50

B=70

Answer:

Your answer is exactly 100% $4.99!

Step-by-step explanation:

Answer:

$4.99 is your answer.

Step-by-step explanation:

                     Have a great morning, afternoon or night!

                                                   ~Dreamer1331~

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Answer:

55°

Step-by-step explanation:

50+75=125. 180-125=55

55+90=145. 180-145=35

90-35=55

Angle ABC (B) is 55°

Method I used:

All lines need to add to 180° so I found the 3rd angle for C. Then I drew an imaginary line perpendicular to lines n and m that intersects line m at point B. The angles of that triangle need to add to 180° so I added 90° (right angle) with the 3rd angle of C (55°) then subtracted that value from 180 to get angle B. Then i found ABC (B).

Answer:

Q’(–5, –3)

Step-by-step explanation:

This is because the pints of q are this.

Answer:

x = 32

Step-by-step explanation:

=> (3x-4) + (3x-8) = 180° (Linear pair)

=> 6x - 12 = 180

=> 6x = 192

=> x = 192/6

Therefore x = 32

Answer:

2,889,124,530

Point A is located at (-2, -6), so since it mentions you must translate 4 units up, you know that the y coordinate will move 4 units up. Hence, -6 + 4 = -2, so the final coordinates of the question is (-2, -2).

Answer:

(-2,-2)

Step-by-step explanation:

Y-axes gose up and down

x-axes gose side to side

(x,y) is how its written. So -6 +4= -2

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Answer:

9,8,3

Step-by-step explanation:

9×8=72

9+3=12

as you can see the common number is 9 here

Step-by-step explanation:

[tex] - 150 - 325 = - 340[/tex]

Answer:

[tex]y \geq -4[/tex]

Step-by-step explanation:

This is because the lowest the y-coordinate goes to is -4.

The circumference of the circle, to the nearest tenth, is: 47.1 cm

The area of the circle, to the nearest tenth, is: 176.7 cm²

Since each unit = 1 cm on the graph, radius = 7 1/2 = 7.5 cm.

Circumference = 2πr = 2π(7.5)

Circumference = 47.1 cm

Area = πr² = π(7.5²) = 176.7 cm²

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Answer:

[tex]360\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the bottom rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 12\ cm[/tex]

[tex]A = 120\ cm^2[/tex]

Step 2:  Determine the area of the back rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 5\ cm[/tex]

[tex]A = 50\ cm^2[/tex]

Step 3:  Determine the area of the top rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 13\ cm[/tex]

[tex]A = 130\ cm^2[/tex]

Step 4:  Determine the area of the triangle

[tex]A = \frac{h*b}{2}[/tex]

[tex]A = \frac{5\ cm * 12\ cm}{2}[/tex]

[tex]A = \frac{60\ cm^2}{2}[/tex]

[tex]A = 30\ cm^2[/tex]

Step 5:  Determine the surface area

[tex]120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)[/tex]

[tex]360\ cm^2[/tex]

Answer: [tex]360\ cm^2[/tex]

The area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.​

It is defined as the combination of points that and every point has an equal distance from a fixed point (called the center of a circle).

We have the radius of the circle r = 6 centimeters

Central angle = 4π/3 = 240°

We know the area of the sector :

[tex]\rm =\dfrac{\theta}{360\°}\pi r^2[/tex]

[tex]\rm =\dfrac{240\°}{360\°}\pi (6)^2[/tex]

= 0.667×3.1415×36

= 75.43 square centimeters

Thus, the area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.​

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Answer: 76%

Step-by-step explanation: 38/50 × 100/1

Answer:

The value of x = 1

Step-by-step explanation:

2x+3 = 5

=> 2x = 5-3

=> 2x = 2

=> x = 2/2

=> x = 1

Answer:

Step-by-step explanation:

In this question we are given with an equation that is 2x + 3 = 5 . And we are asked to find the value of x .

Solution : -

[tex] \longmapsto \qquad \: 2x + 3 = 5[/tex]

Step 1 : Subtracting with 3 on both sides :

[tex] \longrightarrow \qquad \:2x + \cancel{ 3} - \cancel{3} = 5 - 3[/tex]

On further calculations, We get :

[tex] \longrightarrow \qquad \:2x = 2[/tex]

Step 2 : Dividing with 2 on both sides :

[tex] \longrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{2}{2} }[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \sf{x = 1}}}} \quad \bigstar[/tex]

Verifying : -

Now we are checking our answer by substituting value of x in the given equation . So ,

Therefore , our answer is correct .

Answer:

6,000 units3

Step-by-step explanation:

got it rt

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

An equation is an expression used to show the relationship between two or more numbers and variables.

Let us assume the height of the egg (h) at time t is given by:

h(t) = -16t² + 96t - 120.35

The maximum height is at h' = 0, hence:

h' = -32t + 96 = 0

-32t + 96 = 0

t = 3 sec

h(3) = -16(3)² + 96(3) - 120.35 = 23.65

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

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Using the z-distribution, it is found that there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.

At the null hypotheses, it is tested if there is no difference among the proportions, that is:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypotheses, it is tested if the aspirir proportion is lower, that is:

[tex]H_0: p_1 - p_2 < 0[/tex]

For each sample, they are given by:

[tex]p_1 = \frac{15}{500} = 0.03, s_1 = \sqrt{\frac{0.03(0.97)}{500}} = 0.0076[/tex]

[tex]p_2 = \frac{26}{500} = 0.052, s_2 = \sqrt{\frac{0.052(0.948)}{500}} = 0.0099[/tex]

Hence, for the distribution of differences, they are given by:

[tex]\overline{p} = p_1 - p_2 = 0.03 - 0.052 = -0.022[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0076^2 + 0.0099^2} = 0.0125[/tex]

It is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which p = 0 is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{-0.022 - 0}{0.0125}[/tex]

z = -1.76.

Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.

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Answer:

4/2

Step-by-step explanation:

Find number closest to 1.5

[tex]\frac{4}{2} = 2\\1/2=0.5\\6/2 = 3\\\\2/4 = 0.5[/tex]

4/2 is closest to 1.5

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The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.

Multiply by 100/100 and keep in the form without division.

A. (0.47)

0.47 x 100/100

= 47/100

B. (-0.47)

= -0.47 x 100/100

= -47/100

C. (0.--47)

A minus sign multiplied by another minus sign makes a positive sign

= 0.--47 ⇒ 0.47

= 47/100

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Answer:

2.25 or 2 1/4

Step-by-step explanation:

20 1/4 divided by 9 is 2 1/4 :)

Answer:

2.25 lbs each

Step-by-step explanation:

you do 20.25 divided by 9 which gives you an answer of 2.25 lbs or 2 1/4 lbs.

hope this helped

Answer:

π 36 m^2

Step-by-step explanation:

C = 2π R = 12π m --> R = 6m

A = π R^2 = π 36 m^2

Answer:

Step-by-step explanation:

In the question we are given that circumference of circle is 12π m . And we are asked to find the area of circle in term of π .

Solution : -

For finding area of circle we need to find the radius of circle . In the question circumference of circle is given . So we can find radius of circle using it . We know that ,

[tex] \qquad \quad \pink{\underline{\pink{\boxed{\frak{Circumference_ {(Circle) }= 2\pi r}}}}}[/tex]

Where ,

But as in the question , it is given that we have to find the area in term of π. So we aren't using π as 3.14 or 22/7 .

Now, Radius :

[tex] \longrightarrow \qquad \: 12 \cancel{\pi }= 2 \cancel{\pi} r[/tex]

Step 1 : Cancelling π and we get :

[tex] \longrightarrow \qquad \:12 = 2r[/tex]

Step 2 : Dividing both sides by 2 :

[tex] \longrightarrow \qquad \: \cancel{\dfrac{12}{2} } = \dfrac{ \cancel{2}r}{ \cancel2} [/tex]

On further calculations we get :

[tex] \longrightarrow \qquad \: \boxed{ \bf{r = 6 \: m}}[/tex]

Finding Area :

As we have find the radius of circle above so we can find its area easily . We know that ,

[tex] \qquad \: \qquad \pink{\underline{\pink{ \boxed{{\frak{ Area_{(Circle)} = \: \pi r {}^{2} }}}}}}[/tex]

Now substituting value of radius :

[tex] \longmapsto \: \qquad \quad\pi (6) {}^{2} [/tex]

[tex] \longmapsto \: \qquad \quad \pi \times \: 6 \times 6[/tex]

[tex] \longmapsto \: \qquad \quad \pi \times 36[/tex]

We get :

[tex] \longmapsto \: \qquad \quad \blue{\underline{\blue{\boxed{\frak{ \bf{36 \pi \: m {}^{2} }}}}}}[/tex]

The total time it takes the soccer ball to hit the ground, which bounces up at a velocity of 20 feet per second, is 1.535 seconds.

Vertical motion model is the model which is used to find the height of the object which is thrown vertically upward. It can be given as,

[tex]h(t)=-16t^2+v+t[/tex]

Here, t is time and v is velocity.

Soccer player jumps up and heads the ball while it is 7 feet above It bounces up at a velocity of 20 feet ground. per second.  Thus, the vertical motion model for this situation is,

[tex]h(t)=-16t^2+20t+7[/tex]

When the ball hit the ground, the value of height (h) become zero. Thus,

[tex]0=-16t^2+20t+7\\16t^2-20t-7=0[/tex]

On solving this quadratic, the value of x we get,

[tex]x=1.535,x=-0.285[/tex]

Taking positive side x=1.535 second. Thus, the total time it take the soccer ball to hit the ground which bounces up at a velocity of 20 feet per second, is 1.535 seconds.

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Answer:

[tex]\frac{10}{11}[/tex]

Step-by-step explanation:

Note : the total number of students is 55

___________________________

[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]

p(A) = 40/55

p(B) = 15/55

[tex]p\left( A\cap B\right) =\frac{5}{55}[/tex]

Therefore,

[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]

               [tex]=\frac{40}{55} +\frac{15}{55} -\frac{5}{55}[/tex]

               [tex]=\frac{50}{55}[/tex]

               [tex]=\frac{10}{11}[/tex]

Answer:  A. Register

Step-by-step explanation:

Each time you write a check or deposit money in your account, its recorded  in your check register.

Answer:

its too small to see

Step-by-step explanation: