What does it mean for a fraction to be in simplest form?

What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?

Deffense [45]

Here's the equation for one year:
0.06(6500) + 6500
But because it is 25 years:
25(0.06(6500)) + 6500
1.5(6500) + 6500
We can make it simpler:
2.5(6500)
The total amount is $16350

3 0

3 years ago

Consider the probability that greater than 94 out of 153 people will not get the flu this winter. Assume the probability that a

Hatshy [7]

Answer:

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.65, n = 153$ . So

$\mu = E(X) = 153*0.65 = 99.45$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.65*0.35} = 5.9$

Consider the probability that greater than 94 out of 153 people will not get the flu this winter

This probability is 1 subtracted by the pvalue of Z when X = 94. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{94 - 99.45}{5.9}$

$Z = -0.92$

$Z = -0.92$ has a pvalue of 0.1788

1 - 0.1788 = 0.8212

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

7 0

3 years ago

The graph below represents the distance a pilot is from the home airport during a period of time. A graph titled Pilot's Distanc

Simora [160]

Answer:

the awswer would have to be 7

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Answer fast please and Thank you

11Alexandr11 [23.1K]

<h3>You should pick:</h3>

The relationship is linear because each y-value is 5 more than the one before it.

<h3>Here's why I think so:</h3>

If we look at the relationship between the x values and the y values, we can tell that they both increase periodically. The x values increase by 1('s), while the y values increase by 5('s).

Think about it. If y starts off at 5 when x is at 0, and then goes to 10 by x becomes 1, and increases another 5 values when x increases by 1 (again), then we are witnessing a pattern. For every 1 x value, y increases by another 5 values. Such a repetitive relationship will clearly be shown with a line. Thus, the relationship is a linear one.

Since we know that the relationship of the table is linear, and that it is linear due to the fact that the y-value continuously increase by 5's without fail, the only answer that would make sense is the second one.

<em>Therefore, the answer is '</em><u><em>The relationship is </em></u><u><em>linear </em></u><u><em>because each y-value is 5 more than the one before it.</em></u><em>'</em>

3 0

3 years ago

Pretty pretty please if ur good at geometry!! Help a girl out!!

sweet-ann [11.9K]

Answer:

Yes, They are similar by SSS PMK similar to LMQ.

Step-by-step explanation:

Similar triangles corresponding side lengths are in a proportion.

KM corresponds with MQ

PM corresponds with LM.

Set up this proportion.

$\frac{km}{pm} = \frac{lm}{mq}$

$\frac{15}{28} = \frac{21}{39.2}$

Cross multiply

$588 = 588$

So the triangles ARE Similar.

PM corresponds with LM
KM corresponds with MQ
PK corresponds with LQ
So PMK is similar to LMQ

4 0

3 years ago