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2 years ago

Find the next two terms of the geometric sequence 567, 189, 63 … .

Mathematics

2 answers:

Archy [21]2 years ago

7 0

Answer:

As we can observe,

F(1) = 567

F(2) = 189 = 567/3 = F(1)/3

F(3) = 63 = 189/3 = F(2)/3

=> F(4) = F(3)/3 = 63/3 = 21

Hope this helps!

german2 years ago

7 0

Answer:

21 then 7

Step-by-step explanation:

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Which number is greater than 7.23 and less than 7.55? 7.59;7.17;7.6;7.3

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7.3 also written as 7.30

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2 years ago

Lola takes the train from Paris to Nice. The distance between the two cities is about 900,000 meters. If the train travels at a

Elanso [62]

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2 years ago

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If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATI

Vikentia [17]

Answer:

The value is $y = \$ 225$

Step-by-step explanation:

From the question we are told that

The amount charge per year is $k = \$ 200$

The number of members it will have at this amount is $n = 50$

The amount amount increase that will lead to the loss of a single member is $z = \$ 5$

Generally the total amount the club would obtain from its members is mathematically represented as

$I = Amount \ due\ paid * Number \ of members$

Now let x denote the number of member lost

Hence

$I = (k + zx) (n-x )$

=> $I = (200 + 5x) (50-x )$

=> $I = 10000+50x-5x^2$

Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero

$\frac{dI}{dx} = 50-10x$

=> $x = 5$

So from $I = (200 + 5x) (50-x )$ we have

$I = (200 + 5 (5)) (50-5 )$

$I = \$ 10125$

So the amount the club should charge is

$y = \frac{10125}{50 - 5}$

$y = \$ 225$

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3 years ago

An elevator goes up 7 floors and then down 4 floors. What integer represents the change in the floor level?

Leokris [45]

+3

The elevator went up 7 floors, making the current integer +7. The elevator then went down 4 floors, so 7 - 4 is 3. The final answer representing the change in floor level is +3 (positive three.)

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3 years ago

Read 2 more answers

A bank's loan officer rates applicants for credit.

Artist 52 [7]

Answer:

$a=200 +0.253*50=212.65$

So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.7.

Step-by-step explanation:

1) 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".

2) Solution to the problem

Let X the random variable that represent the loan officer rates applicants for a credit of a population, and for this case we know the distribution for X is given by:

$X \sim N(200,50)$

Where $\mu=200$ and $\sigma=50$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

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

$P(X>a)=0.40$ (a)

$P(X$ (b)

Both conditions are equivalent on this case.

As we can see on the figure attached the z value that satisfy the condition with 0.60 of the area on the left and 0.40 of the area on the right it's z=0.253. On this case P(Z<0.253)=0.60 and P(z>0.253)=0.4

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:

$z=0.253$

And if we solve for a we got

$a=200 +0.253*50=212.65$

So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.7.

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3 years ago