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MatroZZZ [7]
3 years ago
13

Find the sum of the arithmetic series........... 3 + 5 + 7 + 9 + 11 + for 100 terms.

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\

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Iq scores are normally distributed with a mean of 100 and a standard deviation of 15.
bearhunter [10]

Mean is \mu=100 and a standard deviation is \sigma =15, then the variable X\sim N(100,15^2).

Use substitution

Z=\dfrac{X-\mu}{\sigma},\\  \\ Z=\dfrac{X-100}{15}.

This substitution gives you that Z\sim N(0,1).

a. For X=130, Z=\dfrac{130-100}{15}=2 and Pr(X>130)=Pr(Z>2) =0.9772 (the decimal value is taken from the Standard Normal Distribution Table).

b. For X=90, Z=\dfrac{90-100}{15}=-\dfrac{2}{3} and for X=110, Z=\dfrac{110-100}{15}=\dfrac{2}{3}. Then Pr(90 (the decimal value is taken from the Standard Normal Distribution Table).

6 0
3 years ago
if a pair of standard dice are rolled what is the probability that one of the dice will be a 3 and the other a 4?
satela [25.4K]

Answer:

<h2>               ¹/₁₈ = 0,0(5)</h2>

Step-by-step explanation:

6•6 = 36       - all possibilities in a roll of two dices

3&4 or 4&3    - two possibilites

Probability that one of the dice will be a 3 and the other a 4:

\frac2{26}=\frac1{18}=0,05555....=0,0(5)

8 0
3 years ago
Read 2 more answers
Find the area of the trapezoid below in square centimeters (cm). The area of the trapezoid is
BARSIC [14]

Answer:

122.5

Step-by-step explanation:

Use the area formula for a trapezoid (attached below as an image):

A = area in sq cm

a = top base

b = bottom base

h = height

Correspond the correct values with the variables:

a = 14

b = 21

h = 7

A = 1/2 * (14 + 21) * 7

A = 1/2*(35)*7

A = 17.5 * 7

A = 122.5 sq cm

Hope this helps (●'◡'●)

6 0
3 years ago
Which property is represented below?<br> a = a
Vlada [557]
A = a is an example of Commutative Property. 

I hope this helps you out Aydria01!
6 0
4 years ago
What is another name for the set of counting numbers
Masteriza [31]

Its is called A positive integer or a natural number.

5 0
3 years ago
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