All categories

3 years ago

An integer is chosen at random from first hundred natural numbers. The probability that the integer chosen the multiple of 5 is

Mathematics

1 answer:

Ede4ka [16]3 years ago

7 0

Answer: 0.2

Step-by-step explanation:

The first hundred natural numbers are 1 to 100.

Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

So in the range, we have 20 multiples of 5.

Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.

we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:

P = 20/100 = 0.2

You might be interested in

Evaluate the limit, if it exists. Show work. lim┬(x→5)⁡〖(x^2-3x-10)/(2x-10)〗

BARSIC [14]

Hello, first of all we can notice that

$5^2-3*5-10=25-15-10=0$

and

$2*5-10=0$

and 0 divided by 0 is undetermined.

So, we need to factorise and simplify first.

$x^2-3x-10=(x-5)(x+2)\\\\\text{Because we already known that 5 is a zero...}\\\\\text{... and the sum of the zeroes is 3 = 5 - 2 and the product is -10 = 5 * (-2).}$

For x different from 5, we can write

$\dfrac{x^2-3x-10}{2x-10}=\dfrac{(x-5)(x+2)}{2(x-5)}=\dfrac{x+2}{2}$

So, the limit when x tends to 5 is

$\dfrac{5+2}{2}=\boxed{\dfrac{7}{2}}$

Thank you

5 0

4 years ago

Tanya is 42 years old. she would like to open aretirement account so she will have half a million dollars in the account when sh

gladu [14]

Let the total amount that Sarah deposited be $x
using the annuity formula:
A=P[((1+r)^n-1)/r]
A=future value
r=rate
n=number of years
from the information given:
A=$500000
r=2.75%
n=65-42=23 years
p=$x
thus plugging our values in the formula we get:
500000=x[((1+0.0275)^(23)-1)/(0.0275)]
500000=31.50x
x=15,872.04883
She deposited 15,873.04883 per year
The monthly deposit will therefore be:
15873.04883/12=$1322.67

7 0

3 years ago

three friends bought a pack of 80 stickers they divided them equality they give there teacher the remainder of them how many are

hodyreva [135]

Answer:

ncnvbl

Step-by-step explanation:

knkkfghdjs zbz zhd znsnsjskskssnsnsnssssnsnsns

6 0

3 years ago

Which is the graph of f(x)= √x

4vir4ik [10]

Answer:

ion know

Step-by-step explanation:

you figure it out

5 0

3 years ago

What is the value of x for y = 12 (4x + 6) when y = 8?<br> Plz I’m so lost

Luda [366]

Answer:

x= $-\frac{4}{3}$

Step-by-step explanation:

5 0

4 years ago