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3 years ago

The graph below shows the number of new clients brought into Sunnydays Insurance Company. Why is the graph misleading?

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

8 0

The graph is misleading because the year’s interval is not constant. The first year to the second year, the gap is 1 year; in the second to the third year, the gap is 2; in the third to the fourth year is 4; and the fourth to the fifth year is 6.

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A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

Naddik [55]

Answer:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

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

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

If we apply this formula to our probability we got this:

And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

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 variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

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

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

If we apply this formula to our probability we got this: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

8 0

3 years ago

How many sides does a square pyramid have

slamgirl [31]

A square pyramid has 5 sides.

hope this helps!

3 0

2 years ago

123567543 what is the value of 3

borishaifa [10]

Answer:

3 would be 3 million

Step-by-step explanation:

8 0

3 years ago

Perform the following operations and prove closure. Show your work.<br><br> (x/x+3) + (x+2/x+5)

Westkost [7]

Answer:

$\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}$

Step-by-step explanation:

We need to sum the following two expressions:

$\frac{x}{x+3} + \frac{x+2}{x+5}$

$\frac{x(x+5) + (x+2)(x+3)}{(x+3)(x+5)}$

expanding the polynomial in the numerator:

$\frac{2x^{2} + 10x + 6}{(x+3)(x+5)}$

$\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}$

This is the most simplified form we can get:

$\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}$

8 0

3 years ago

Read 2 more answers

Which of the following represents the coordinates of point A?

KiRa [710]

The coordinates of A will be (2P +M)/3
= (2(16, 14) +(1, 4))/3 = (33/3, 32/3) = (11, 32/3)

The appropriate choice is
(C) (11, 32/3)

_____
You will note that the coordinates of A are the weighted average of the coordinates of the end points. The weighting is the reverse of the ratio of the line segments. That is, the point adjacent to the shortest segment gets the highest weighting. (This is typical of the solution to "mixture" problems.)

8 0

3 years ago