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3 years ago

Circle O has a circumference of approximately 250π ft

Mathematics

1 answer:

liraira [26]3 years ago

5 0

Answer:

79.617...

Step-by-step explanation:

When you are trying to find the circumfrence you do c=πd

So to find the diameter you reverse it

Since you already know the 250 feet you divide it by π

You then get 79.6

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Why the expressionY+y+y and3y are equivalent

rjkz [21]

Answer:

Because if you add the amount of Ys together it equals 3y

Step-by-step explanation:

4 0

2 years ago

A line segment that has both endpoints on the circumference

AlexFokin [52]

Answer:

A chord

Step-by-step explanation:

By the definition of a chord, it is a line segment whose endpoints lie on the circle, (and in this case circle is meant by the set of points equidistant from a center point, or as an algebraic term: circumference)

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3 years ago

A student takes a part-time job to earn for summer travel. The number of hours, , the student has to work is inversely proportio

Andrej [43]

Answer:

(a) $h = \frac{2400}{w}$

(b)300 Hours

(d)Reduced and halved.

(e) $w = \frac{2400}{h}$

Step-by-step explanation:

(a) The number of hours worked is inversely proportional to the wage.

This is written as:

$h \propto \frac{1}{w} \\\text{Introducing variation constant k}\\h = \frac{k}{w}\\$Since the money to be raised is constant, k = $ \$2400\\Therefore, h = \frac{2400}{w}$

(b)If the student earns $8 an hour

w=$8

$\text{Number of Hours required, h} = \frac{2400}{8} =300 Hours$

(c)When the wage per hour =$16

When w=$16

$\text{Number of Hours required, h} = \frac{2400}{16} =150 Hours$

The number of hours reduced and is in fact halved.

(d)

$\text{When the wage per hour =w}, h = \frac{2400}{w}\\\text{When the wage per hour =2w}, h = \frac{2400}{2w}=\frac{1}{2} X \frac{2400}{w} =\frac{h}{2}$

The effect of raising the wage from $w to $2w per hour is that the number of hours required to work is reduced and exactly halved.

(e)The wage per hour is inversely proportional to the number of hours.

In fact,

$\text{From h = }\frac{2400}{w}\\\text{Cross Multiplying}\\hw=2400\\\text{Dividing both sides by h}\\w = \frac{2400}{h}$

8 0

3 years ago

In a city with a population of 1 million, 500 people have been diagnosed with cancer, whereas the rest of the people do not have

Leni [432]

Class distribution is considered to be normal using normal approximation to binomial.

A frequency distribution is a table that shows classes or intervals of data with a count of the number in each class.

Given :

In a city with a population of 1 million

i.e Population size (N) = 1 million = 1000000

From which 500 people have been diagnosed with cancer

Let X : No. of people have been diagnosed with cancer

X = 500

Population proportion (p) :

p = XNp =5001000000p = 0.0005

So , the proportion of people who do not have cancer (q)=1-p

=1-0.0005

=0.9995

Here the distribution of X is Binomial

Such that :

i. No. of trials are fixed

ii. Probability of success is constant (p=0.0005)

iii. Possible outcomes are two (having cancer or not)

Here we can use normal approximation to Binomial

Because N is very large

So class distribution is considered to be normal using normal approximation to binomial.

To learn more, visit:

brainly.com/question/9325204

#SPJ4

5 0

2 years ago

Simplify the expression: 3/(7-i)

salantis [7]

The answer is 0.5. 3/(7-1) 3/6=0.5

7 0

3 years ago