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Gnoma [55]
3 years ago
10

You put the names of all the students in your class in a paper bag. There are 14 boys and 20 girls. If you b draw a name at rand

om, what is P(boy’s name)?
Mathematics
1 answer:
Olenka [21]3 years ago
3 0

As a fraction, the answer is 7/17

In decimal form that converts to approximately 0.41176 which is 41.176%

===============================================

Explanation:

We have 14 boys out of 14+20 = 34 students total

Divide the number of boys over the number of total students. Reduce the fraction as much as possible.

14/34 = (7*2)/(17*2) = 7/17

We can stop here if all your teacher wants is the fractional answer

-----

If you want the decimal form, you would use long division or a calculator to get this approximate result

7/17 = 0.41176

moving the decimal point over 2 spots to the right converts to percent form

0.41176 ---> 41.176%

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El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañ
vodka [1.7K]

El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,

a. Cuánto tiempo le tomará a ambas realizar el trabajo?

Answer:

3.6 horas

Step-by-step explanation:

Sea el número total de horas que ambos trabajaron = T

Deje que la cantidad total de letras por las que pasaron = 1

De la pregunta, se nos dice:

Lourdes necesitó 6 horas para revisar las cartas.

Esto significa que, cada 1 hora, Lourdes revisaba 1/6 de las letras

Rosabel tardó 9 horas en leer las letras.

Esto significa que, cada 1 hora, Rosabel revisó 1/9 de las letras

Por lo tanto,

(1/6 × 1) T + (1/9 × 1) T = 1

(1/6 + 1/9) T = 1

(3 + 2/18) T = 1

(18/5) T = 1

5T / 18 = 1

Cruz multiplicar

5T = 18

T = 18/5

T = 3.6 horas

Por lo tanto, les tomó a ambas 3.6 horas hacer el trabajo.

7 0
3 years ago
How many complete rotations will the bowling ball make if it rolls straight down the center of the entire length of the lane. A.
jasenka [17]
<h3>Answer: C) 26 complete rotations</h3>

===========================================

Explanation:

The diameter of the ball is 8.5 inches. So d = 8.5

The circumference of the circle with this diameter is

C = pi*d

C = pi*8.5

C = 8.5pi

C = 26.7035375555132 approximately.

This is the rough distance it travels in one revolution or one full rotation.

--------------

1 revolution = 26.7035375555132 inches

(1/26.7035375555132) revolution = 1 inch

1 inch = (1/26.7035375555132) revolution

1 inch = 0.03744822190398 revolution

There are 12 inches a foot, so,

1 inch = 0.03744822190398 revolution

12*1 inch = revolution

12 inches = 0.44937866284776 revolution

1 foot = 0.44937866284776 revolution

Now multiply both sides by 60

1 foot = 0.44937866284776 revolution

60*1 foot = 60*0.44937866284776 revolution

60 feet = 26.9627197708657 revolutions

Round down to the nearest whole number to get 26

We can't round to 27 even though we're really close to it. This is because we are looking for the number of whole revolutions the ball makes.

Therefore, 60 linear feet correspond to 26 full rotations of the ball. There's a bit leftover, but it's not enough to make another full rotation.

8 0
3 years ago
The head of a computer science department is interested in estimating the proportion of students entering the department who wil
olya-2409 [2.1K]

Answer:

96

Step-by-step explanation:

From the given information:

At 95% Confidence interval level,Level of significance \alpha 0.05, the value of Z from the standard normal tables = 1.96

Margin of Error = 0.10

Let assume that the estimated proportion = 0.5

therefore; the sample size n can be determined by using the formula: n =(\dfrac{Z}{E})^2 \times p\times (1-p)

n =(\dfrac{1.96}{0.1})^2 \times 0.5\times (1-0.5)

n =(19.6)^2 \times 0.5\times (0.5)

n = 96.04

n \approx 96

8 0
3 years ago
Solve for t. f(t)=-16t^2+576​
IgorC [24]

Answer: t^2=-f-576/16

Step-by-step explanation:

Step 1. Switch the equation around:

-16t^2+576=f

Step 2. Subtract 576 from each side:

-16t^2+576-576=f-576

Step 3. Now simplify:

-16t^2=f-576

Step 4. Divide everything now by -16:

-16t^2/-16=f/-16-576/-16

Step 5. Simplify again:

t^2=-f-576/16

Hope I could help! :)

3 0
3 years ago
What integer does the square root of 18 lie between
hichkok12 [17]
4 < \sqrt{18} < 5\\\\because:\\\\4=\sqrt{4^2}=\sqrt{16} < \sqrt{18} \\\\5=\sqrt{5^2}=\sqrt{25} > \sqrt{18}
8 0
2 years ago
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