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Fynjy0 [20]
3 years ago
10

How to solve the sum of arithmetic series?

Mathematics
1 answer:
Pepsi [2]3 years ago
6 0
The formula is n/2(a1+an). n is the number of terms. a1 is the first value in the sequence and an is the value of the sequence at the nth term
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Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
melamori03 [73]

Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

Calculation the value from standard normal z table, we have,  

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

Calculation the value from standard normal z table, we have,  

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

8 0
3 years ago
The Volume () of gas vanes inversely to the pressure (P). The volume of gas is 200 cm ^ 3 under pressure of 32 kg/cm^ 2 What wil
WITCHER [35]

Answer:

0.025 Kg/ cm²

Step-by-step explanation:

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

the equation that represents inverse proportion :

y = \frac{b}{x}

where b = constant of proportionality

to determine the answer in this question :

1. determine constant of proportionality

200 = k / 32

k = 6400

2. Determine the amount of pressure using the constant of proportionality

256, 000 = 6400 / pressure

pressure = 6400 / 256, 000 = 0.025

4 0
3 years ago
Someone please help me out with number 8 and 9 and 10
Ket [755]

Answer:

9. 0.0539 Liters

10. 216 quarts

Step-by-step explanation:

I dont know the answer to 8 but i do for 9 and 10!

plz drop a brainliest.

8 0
3 years ago
Which numbers represent the measure of the sides of a right triangle?
Dominik [7]

Answer:

2.8, 4.5, 5.3

numbers represent the measure of the sides of a right triangle.

2.8²+4.5²=5.3²

7.84+20.25=28.09

28.09=28.09

8 0
3 years ago
T-Riffic produces T-shirts for a $20 design fee plus an
TiliK225 [7]
0=0
5=60
10=100
15=140
17=156
33=284
I think
6 0
3 years ago
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