A class has 16 boys and 20 girls. A prefect is to be chosen from the class. If
each student is equally likely to be chosen, calculate the probability that the
selected prefect is:
(a) a boy (b) a girl

Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.

Answer:

18

Step-by-step explanation:

0900 to1030 is 1.5 h

Take 27/1.5

Then you will get the answer

Answer:

5.33 Seconds

Step-by-step explanation:

This is because you have to do the quadratic equation and solve.

The time required to hi the water is 5.33 seconds.

A quadratic equation is a second-order polynomial equation in a single variable x as ax^2+bx+c=0 with a ≠ 0 . A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2.

For the given situation,

The function is h(t)= -16t^2+16t+370

The roots of this function can be found by using the formula,

[tex]t=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]t=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

Here, a=-16, b=16, c=370

⇒ [tex]t=\frac{-16+\sqrt{16^{2}-4(-16)(370) } }{2(-16)}[/tex] or [tex]t=\frac{-16-\sqrt{16^{2}-4(-16)(370) } }{2(-16)}[/tex]

⇒ [tex]t=\frac{-16+\sqrt{23936} }{-32}[/tex] or [tex]t=\frac{-16-\sqrt{23936} }{-32}[/tex]

⇒ [tex]t=\frac{-16+154.712}{-32}[/tex] or [tex]t=\frac{-16-154.712}{-32}[/tex]

⇒ [tex]t=\frac{138.712}{-32}[/tex] or [tex]t=\frac{-170.712}{-32}[/tex]

⇒ [tex]t=-4.33[/tex] or [tex]t=5.33[/tex]

Time cannot be negative. So the value is 5.33.

Hence we can conclude that the time required to hi the water is 5.33 seconds.

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Answer:

3+2.50x

Step-by-step explanation

x represents how many flowers you bought which you mulitply with 2.50 since each flower is 2.50 dollars. Then you add 3 since the cost of the vase is 3 dollars.

Answer:

4212 square feet.

Step-by-step explanation:

If the blueprint's scale is 1 inch : 9 feet.

Square both sides

(1in)² = (9ft)²

1in² = 81ft²

Given the  gym's  area as 52 square inches, hence;

52in² = x

Divide both expressions

1/52 = 81/x

x = 52 * 81

x = 4212ft²

Hence the area of the actual gym  is 4212 square feet.

We have to basically multiply:

11/17 x 475

And simplifying that we get

307.35

And since there can't be .35 person

So out final answer is 307

pls pls brainlist

Answer:

lol i don't like bullies either

i mean...i say that now...but in first grade i used to be a bully....we don't talk about that tho

anyways have a nice day and show them bullies who's boss

Exactly no one likes bullies :)

Answer:

Here 's the working for the questions

Step-by-step explanation:

Mark brainliest pls

Answer:

30

Step-by-step explanation:

You simply just mutliply them

3*5*2=30

Answer:

c

Step-by-step explanation:

just derived everyone

The estimated equation of line is y = 8x+ 20

A linear equation is defined as an equation in which the highest power of the variable is always one.

Two points on the line (5, 60), (3, 44)

[tex]y- y_1= \frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

[tex]y- 60 = \frac{60-44}{5-3} (x-5)[/tex]

[tex]y- 60 = \frac{16}{2} (x-5)[/tex]

[tex]y = 8 (x-5)+ 60[/tex]

[tex]y = 8x+ 20[/tex]

Hence, the estimated equation of line is y = 8x+ 20

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Answer:

9.6 ounces of butter, 8 ounces of sugar, 12 ounces of flour, 4 eggs

Explanation: 20 / 16 = 4/5. 16 is four-fifths of 20. So multiply 4/5 with everything.

12 * 4/5 = 9.6 ounces

10 * 4/5 = 8 ounces

15 * 4/5 =  12 ounces

5 * 4/5 = 4 eggs

Answer:

The same shapes but flipped or turned.

Step-by-step explanation:

Answer:

the same shape and size but we allowed to flip slide or turn

hope this help

Answer:

2/15

Step-by-step explanation:

2/3 divided 5 is really just:

2/3*1/5

that is just 2/15!

Answer:

2/15

Step-by-step explanation:

(Keep Change Flip) KCF

2/3  / 5 =

2/3 *1/5 = 2/15

When dividing you do the opposite which is multiplication.

Answer:

1 <—5⁰

25<—5²

1/25<—5-²

5<—5¹

3 is to 2 is the probability of drawing 4 marbles that are all blue.

La respuesta correcta para esta pregunta abierta es la siguiente.

Aunque no se anexaron opciones o incisos para contestar, podemos comentar lo siguiente.

Cada material en sus distintos estados de agregación, cambia de volumen de forma diferente, sin embargo todos lo hacen en cierta medida. A esta propiedad se le llama Estados de Agregación de la Materia.

Las substancias cambian su composición debido a la presión o al cambio de temperatura a la que son sometidos. A ese proceso se le conoce como el estado de agregación de la materia, cuando las moléculas y átomos que constituyen esa matera se ve sometido a una transformación en su composición.

Podemos reconocer comúnmente cuatro estados de transformación de la materia, que son, el estado de plasma, el estado gaseoso, el estado líquido y el estado sólido

Answer:

landslide

Step-by-step explanation:

MARK AS BRAINLEST!!!

Answer:

earthquake okkkkkkkkkkkkk

Answer:

B

Step-by-step explanation:

Answer:

Option B) His teachings became government philosophy.

Answer:

7.96 x 10^2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The standard form of [tex]8\times10^{-2} - 4\times10^{-4}[/tex] is [tex]\frac{38}{5000}[/tex].

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, [tex]8\times10^{-2} - 4\times10^{-4}[/tex].

[tex]= \frac{8}{10^2} - \frac{4}{10^4}[/tex].

[tex]= \frac{8}{100} - \frac{4}{10000}[/tex].

[tex]= \frac{80 - 4}{10000}[/tex].

[tex]= \frac{76}{10000}[/tex].

[tex]= \frac{38}{5000}[/tex].

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Answer:

153.86

Step-by-step explanation:

3.14 x (7x7) = 153.86

Answer:

its 216

Step-by-step explanation:

when it's one the edge the arc is double the angle

Answer:

The answer is 8.54

Answer:

4

Step-by-step explanation:

1st: do 2x3=6 so if 1 6in scoop makes one pitcher of tea then you could make about 4 pitchers of tea because there are the volume of the pitcher of tea mix is 24in so 24/6=4

Answer:

i dunno

Step-by-step explanation:

but i need the points to ask questions

Answer:

10/13

Step-by-step explanation:

You will first add all the students the mentioned which gives you 13 then since they ask what is the probability it the teacher would pick girls. You know there's 10 girls and 3 boys so it would be 10/13.                                  

Answer:

180 - 58 - 42 = x : sum of angles in a triangle add to 180

80 = x

Answer:

B.

Step-by-step explanation:

If x is a number, then twice a number is 2x. The difference between 17 and 2x is 17-2x.

Common Error:

A. says 17 less than twice a number. Since it is 17 less, it is 2x-17 not 17-2x.

Hope this answer helped! :)