Identify coordinate point D.

(1, 5)
(0, 2)
(6, 7)
(7, 3)

Step-by-step explanation:

remember, a probability is always desired cases over total possible cases.

the class has 10+15 = 25 students.

and 5 of them will be picked as representatives to the school board.

how many total possibilities do we have ?

since picked students can be picked only once, and the sequence of the 5 picked students in the group does not matter, we have a combination without repetition :

C(25, 5) = 25! / (5! × (25-5)!) = 25! / (5! × 20!) =

= 25×24×23×22×21 / (5×4×3×2) =

= 5×1×23×22×21 = 53,130 possible outcomes.

how many desired outcomes ?

that would be how many options we have to pick 2 out of 10 and 3 out of 15 :

C(10,2) × C(15,3) = 10! / (2 × 8!) × 15! / (3! × 12!) =

= 10×9/2 × 15×14×13/(3×2) =

= 5×9 × 5×7×13 = 20,475 desired outcomes

and the probability is

20475 / 53130 = 4095 / 10626 = 1365 / 3542 = 195 / 506

= 0.385375494... ≈ 0.39

Step-by-step explanation:

these are 2 similar triangles.

that means they have the same angles. and all sides have the same scaling factor between the 2 triangles.

so,

10/28 = 5/h

Answer:

red 420 times

Step-by-step explanation:

The results show red (18)  out of ( 18+10+7+19+6)

  18 / 60

18/60  *   1400 = 420 times

Answer:

Given function:

f(t) = (-16t - 2)(t - 1)

The zeros of the function are the values of t when f(t) = 0

⇒ f(t) = 0

⇒ (-16t - 2)(t - 1) = 0

⇒ (t - 1) = 0  ⇒  t = 1

⇒ (-16t - 2) = 0  ⇒ t = -2/16 = -1/8

The zeroes tell us the time (in seconds) when the ball is at ground level (when its height is zero).

Since time is not negative, only one zero is meaningful:  t = 1

Therefore, the total journey of the ball, from throwing it to it hitting the ground, is 1 second.

The height the ball is thrown can be determined by inputting t = 0 into the function:

⇒ f(0) = (-16(0) - 2)(0 - 1)

⇒ f(0) = (0 - 2)(0 - 1)

⇒ f(0) = (-2)(-1)

⇒ f(0) = 2

Therefore, the height from which the beach ball is thrown is 2 ft.

Equation: y = (-16t-2)(t -1)

1) Finding zeros of the function?

To find zero's of the function y = 0

(-16t-2)(t -1) = 0

-16t - 2 = 0, t - 1 = 0

t = 2/-16, t = 1

t = -0.125, 1

2) What do the zero's tell us? Are they meaningful?

Answer: It tells us that the time is 1 seconds when the height of the ball is 0 or at rest.

3) From what height is the ball thrown?

Insert t = 0

y = (-16(0)-2)((0) -1)

y = 2

Ball thrown from 2 feet.

Answer:

24 times

Step-by-step explanation:

16 divided by 2/3 is 24

hope this helped!

Answer:

1/4 x + 9/10

Step-by-step explanation:

[tex]=-\frac{1}{2}x+\frac{7}{10} +\frac{3}{4} x+\frac{1}{5}[/tex]

[tex]=\frac{3}{4}x-\frac{2}{4} x+\frac{7}{10} +\frac{2}{10}[/tex]

[tex]=\frac{1}{4} x+\frac{9}{10}[/tex]

Hope this helps

Answer:

All of the views will be rectangles. The front view will be a rectangle 8 squares wide and 5 squares tall. The side view will be a rectangle 4 squares wide and 5 squares tall. The top view will be a rectangle 8 squares wide and 4 squares tall.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Consider this solid as combination of two prisms, one with recrangular base and another with trapezoid base.

Find the area of bases

Rectangle

Trapezoid

Find the total base area

Find the volume

Answer:

197.4 yd squared

Step-by-step explanation:

7*7 = 49

10.6*7*2 = 148.4

148.4 + 49 = 197.4

Step-by-step explanation:

Hope this helps you. Anyone can correct if it's wrong.

Answer:

Step-by-step explanation:

The length of the arc on the unit circle is 3.67 units

The angle measure is given as:

x = 7π/6

The radius of a unit circle is:

r = 1

The length of the arc is calculated using:

L =rx

So, we have:

L = 1 * 7π/6

Evaluate

L = 3.67

Hence, the length of the arc on the unit circle is 3.67 units

Read more about arc lengths at:

https://brainly.com/question/2005046

#SPJ2

Answer:B mark me brainliest

Step-by-step explanation:Recall that slope is rise over run

slope = rise/run

The rise being the change in y, while the run is the change in x.

So we could informally think of it as slope = y/x

-----------

Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.

The slope is both y/x and also 2/3.

Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.

Answer:

B) y/x=2/3

Step-by-step explanation:

Edg2022

what do you mean package c explain more

Answer:

0.25

Step-by-step explanation:

edge '22

Answer:

D - E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.

Step-by-step explanation:

A box plot has 5 data descriptions. The number of students who scored 80 or higher in class 2 than in class 1 is 2.

A box plot has 5 data descriptions:

The number of students in the first class who scored more than 80 is 10, while the number of students in the second class who scored more than 80 is 12.

Therefore, the number of students who scored 80 or higher in class 2 than in class 1 is 2(12-10).

Learn more about Box-plot:

https://brainly.com/question/1523909

#SPJ1

Answer:

V = 13 x 9π

Step-by-step explanation:

The figure formed by filling water is also a cylinder, so the volume formula is the same: base area times height. This means that:

V = 9π x 13

It can also be rearranged to read:

V = 13 x 9π

Answer:

$130

Step-by-step explanation:

90 + (20 * 2) = 130

Answer:

85 cm²

Step-by-step explanation:

Area = 5 x 5 + 15 x 4

Area = 25 + 60

Area = 85 cm²

Answer:

-2

Step-by-step explanation:

To find the y-intercept, all we need to do is plug in 0 for x and solve for y, giving us [tex]-4y = 8[/tex], so y = -2.

Answer:

The same way you tell if a parabola opens up or down, by the leading coefficient of the variable.

Step-by-step explanation:

Since the x-axis is positive to the right, a positive leading coefficient (3) means it opens to the right. eg. And a negative leading coefficient (-2) means it opens to the left.

Answer:

it is easy it is 3833

Step-by-step explanation:

The money saved by Raj from the given conditions is $950.

Given that, Raj, Devi and Miko have managed their savings well.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The ratio of Devi to Miko's savings is 3:11.

So, Devi's saving is 3x and Devi to Miko's savings is 11x.

The sum of Raj and Devi's savings is $1181. Raj and Miko's savings sum up to $1797.

Let y be the Raj's saving.

Now, y+3x=1181 --------(I) and y+11x=1797 --------(II)

From equation (I), y=1181-3x

Substitute y=1181-3x, in equation (II), we get

1181-3x+11x=1797

⇒ 8x=1797-1181

⇒ 8x=616

⇒ x=616/8

⇒ x=77

So, y=1181-3x=1181-231

=$950

Hence, the money saved by Raj from the given conditions is $950.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

Answer:

1 is H

2 is G

3 is B

Answer:

1 is G number 2 is F

Number 1 is G

Number 2 is F

The unit tangent vector is T(u) and the unit normal vector is N(t) if the  vector function. R(t) is equal to 9 2 t, e9t, e−9t.

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have vectored function:

[tex]\rm R(t) = (9\sqrt{2t}, e^{9t}, e^{-9t})[/tex]

Find its derivative:

[tex]\rm R'(t) = (9\sqrt{2}, 9e^{9t}, -9e^{-9t})[/tex]

Now its magnitude:

[tex]\rm |R'(t) |= \sqrt{(9\sqrt{2})^2+ (9e^{9t})^2+ (-9e^{-9t})^2}[/tex]

After simplifying:

[tex]\rm R'(t) = 9 \dfrac{e^{18t}+1}{e^{9t}}[/tex]

Now the unit tangent is:

[tex]\rm T(u) = \dfrac{R'(t)}{|R'(t)|}[/tex]

After dividing and simplifying, we get:

[tex]\rm T(u) = \dfrac{1}{e^{18t}+1} (\sqrt{2}e^{9t}, e^{18t}, -1)[/tex]

Now, finding the derivative of T(u), we get:

[tex]\rm T'(u) = \dfrac{1}{(e^{18t}+1)^2} (9\sqrt{2}e^{9t}(1-e^{18t}), 18e^{18t}, 18e^{18t})[/tex]

Now finding its magnitude:

[tex]\rm |T'(u) |= \dfrac{1}{(e^{18t}+1)^2} (9\sqrt{2}e^{9t}(1-e^{18t})^2+ (18e^{18t})^2+( 18e^{18t})^2)[/tex]

After simplifying, we get:

[tex]\rm |T'(u)|= \dfrac{9\sqrt{2}e^{9t}}{e^{18t}+1}[/tex]

Now for the normal vector:

Divide T'(u) and |T'(u)|

We get:

[tex]\rm N(t) = \dfrac{1}{e^{18t}+1} ( 1-e^{18t}, \sqrt{2}e^{9t}, \sqrt{2}e^{9t})[/tex]

Thus, the unit tangent vector is T(u) and the unit normal vector is N(t) if the  vector function. R(t) is equal to 9 2 t, e9t, e−9t.

Learn more about the vector here:

https://brainly.com/question/8607618

#SPJ4

Answer:

Red: 144. Green: 360 Brown: 552. Yellow: 144.

Step-by-step explanation:

Okay, so, to find the probabilities of red and yellow, we gotta add green and brown probabilities and then subtract that from one. Green and brown probabilities added together are 0.76. Subtract that from one and you get 0.24. Divide that by two and we get 0.12 for both red and yellow. Now we multiply 1200 by each probability.

The equations have operations, variable, an equal sign in common.

An equation is a mathematical expression that contains an equals symbol.

As per the definition, the equation contain operations, variable, an equal sign. That means whatever be the equation then it must contain operations, variable, an equal sign.

So, all the equations have operations, variable, an equal sign these three things in common.

For example: 4a+b=0

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

Answer:

P(7,4)= 840

Step-by-step explanation: