In her free time, Isabelle likes to read. She kept track of the number of pages in each book she read last summer. This box plot shows the results.
Book pages
100
150
200
250
300
350
What fraction of the books had 200 or fewer pages?

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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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:

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:

[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]

Answer:

its too small to see

Step-by-step explanation:

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~

*Please mark BRAINLIEST if correct and you feel I deserve it, thank you!*

Answer:

Q’(–5, –3)

Step-by-step explanation:

This is because the pints of q are this.

Answer:

sphere have a same diameter of cone so

the sphere have a diameter of 40 then the diameter is 40÷2=20

that's mean than the radios is 20

Answer:

2,889,124,530

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

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:

697

Step-by-step explanation:

A product is an answer to a multiplication question

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:  A. Register

Step-by-step explanation:

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

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: 76%

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

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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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

brainlyest and five stars, please :)

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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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]

Answer:

6,000 units3

Step-by-step explanation:

got it rt

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:

Step-by-step explanation:

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

=3x+30=180

=3x=150

=x=50

B=70

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]

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:

Computer Science is more harder so I would go with Precalculus.

Answer:

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

Step-by-step explanation:

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