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IrinaVladis [17]
3 years ago
5

URGENT ! what is the common difference of the arithmetic series 14+12+10+8

Mathematics
1 answer:
k0ka [10]3 years ago
6 0

Explanation:

An arithmetic sequence has a common difference, meaning you use addition or subtraction to get from term to term, and each term in the sequence is an equal distance apart.

A geometric sequence has a common ratio, meaning that you use multiplication or division to get from term to term.

If you look at this sequence:

14-2 = 12

12-2 = 10

10-2 = 8

8 -2 = 4

etc.

Because you are subtracting 2 each time, 2 is the common difference, and the sequence is arithmetic.

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3 years ago
Risk taking is an important part of investing. In order to make suitable investment decisions on behalf of their customers, port
GrogVix [38]

Answer:

a=49.5 -1.28*15=30.3

So the value of height that separates the bottom 10% of data from the top 90% is 30.3.  

If the score is lower than 30.3 we consider this score as risk averse

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(49.5,15)  

Where \mu=49.5 and \sigma=15

We are interested in the bottom 10% of the data.

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.9   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-1.28

And if we solve for a we got

a=49.5 -1.28*15=30.3

So the value of height that separates the bottom 10% of data from the top 90% is 30.3.  

If the score is lower than 30.3 we consider this score as risk averse

7 0
3 years ago
What is 10 x 2.3-5 in standard notation?
timofeeve [1]

Answer:I think it’s option d

Step-by-step explanation:

4 0
3 years ago
Multiply 6/5times 25/24
max2010maxim [7]

Answer:

1.248

Step-by-step explanation:

6/5 ⇒ 1.2

25/24 ⇒ 1.041666666666667‬ or approximately 1.04

1.2 * 1.04

= 1.248

8 0
3 years ago
Distribute -2(2x-1)(x+3), i forgot how to use the distributive property to check my work on factoring quadratics.
Gwar [14]
-2(2x-1)(x+3) = ((-2)2x - (-2)(-1))(x+3) = (-4x-2)(x+3) 
3 0
3 years ago
Read 2 more answers
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