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Elenna [48]
3 years ago
6

1+2+3+4+5+6.......+99 what is the quickest way to find the answer Thank u

Mathematics
2 answers:
Furkat [3]3 years ago
8 0

1+2+3+4+5+6+\ldots+99=\\(1+99)+(2+98)+\ldots+(49+51)+50=\\49\cdot100+50=\\4950

serious [3.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

Use the formula Sum = (a + L)*n/2

The tricky part is n. That's the number of terms between 1 and 99 inclusive.

n = 99 -1 + 1 = 99

n = 99

a = 1

L = 99

Sum = (1 + 99)*99 / 2

Sum = (100)*99/2

Sum = 4950

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3 years ago
12 and 1/2 + 1 and 5/8
ki77a [65]

Answer: 14 1/8

Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions \frac{1}{2} and \frac{5}{8} and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.

<u>Least Common Denominator:</u>

\frac{1}{2} = \frac{4}{8}

\frac{5}{8} = \frac{5}{8}

12 4/8 + 1 5/8 = 13 9/8

Notice that 9/8 is an improper fraction so we can change it to a mixed number.

9/8 = 1 1/8

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3 years ago
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4 0
3 years ago
A large population of variable x is characterized by its known mean value of 6.1 units and a standard deviation of 1.0 units and
scoundrel [369]

Answer:

-6.134 to +6.134

Step-by-step explanation:

given that a large population of variable x is characterized by its known mean value of 6.1 units and a standard deviation of 1.0 units and a normal distribution

X is Normal with mean  =6.1 and std dev = 1 unit

We are to determine the range of values containing 70% of the population of x

We know that normal distribution curve is bell shaped symmetrical about the mean.

So to find 70% range we can use 35% on either side of the mean

Using std normal distribution table the value of z for which probability from 0 to z is 0.35 is 1.034

Hence corresponding x value is

x=6.1+1.034*1\\x=6.134

i.e. 70% values lie between

-6.134 to +6.134

3 0
3 years ago
Read 2 more answers
2. in a class of 50 students, the number of females is 2 more than 5 times the number of males. How many males and females are t
Ber [7]

Answer:

There are 8 males in the class and 42 females.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of females.

y is the number of males.

Class of 50 students

This means that x + y = 50

The number of females is 2 more than 5 times the number of males.

This means that x = 5y + 2

So, finding y, the number of males:

x + y = 50

5y + 2 + y = 50

6y = 48

y = \frac{48}{6}

y = 8

Females:

x = 5y + 2 = 5*8 + 2 = 42

There are 8 males in the class and 42 females.

7 0
2 years ago
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