How do I find the value of an expression

Using diagonals from a common vertex, how many triangles could be formed from

IrinaK [193]

I am pretty sure it’s 4

8 0

2 years ago

Find the future value of $50,000 at 6% compounded semiannually for ten years.

Nookie1986 [14]

Answer: $ 90305.56

Step-by-step explanation:

To find the future value of the amount, use the compound interest formula as follows:

A = P( 1 + i/m)^mn

Where; A = Future amount after n years;

P = Principal amount or amount deposited which is equal to $50, 000 in this question.

i = interest rate charge which is 6% in this case

m = number of times compounded per year, thus, m = 2 in this case since it is compounded semi-annually.

n = number of years which is 10 years in this case.

Substituting in the equation:

A = 50 000( 1 + 0.06/2) ^ 2(10)

= $ 90305.56

6 0

4 years ago

Last week, Mrs. Thomas, the AP Statistics teacher at Green Valley High School, gave her students an assessment on material they

blondinia [14]

Answer:

$0.88=\frac{X-83.54}{11.21}$

And if we solve for th value of X we got:

$X=83.54 + 0.88*11.21=93.405$

So then the score for Andrew is 93.405.

We need to take in count that the first quarter accumulates 0.25 of the area on the left, the second quarter 0.5, the third 0.75 and the fourth 1.0 of the area on the left. Based on the value obtained for the probability of 0.811 we see that we are on the last quarter of the distribution or the fourth quarter.

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

$X \sim N(83.54,11.21)$

Where $\mu=83.54$ and $\sigma=11.21$

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 use the formula we got:

$0.88=\frac{X-83.54}{11.21}$

And if we solve for th value of X we got:

$X=83.54 + 0.88*11.21=93.405$

So then the score for Andrew is 93.405.

In order to find on which quarter is the score we just need to find this probability:

$P(Z$

We need to take in count that the first quarter accumulates 0.25 of the area on the left, the second quarter 0.5, the third 0.75 and the fourth 1.0 of the area on the left. Based on the value obtained for the probability of 0.811 we see that we are on the last quarter of the distribution or the fourth quarter.

7 0

4 years ago

Solve for x and show work

jekas [21]

Answer:

x = 6

Step-by-step explanation:

Angle RPG = (Arc RQ + Arc SC)/2 Interior Secant Theorem

124 = (197 + 9x - 3)/2 Substitution

124 = (194 + 9x)/2 Alg

124 = 97 + 4.5x Alg

27 = 4.5x Alg

x = 6 Alg

Hope this helped! Ask me if you didn't understand something.

7 0

3 years ago

Does anyone understand this? show work please. thank you.

snow_tiger [21]

Answer:

You need to satisfy the equation.

I will solve one.

Step-by-step explanation:

x -2 < -5

now add + 2 to both sides to keep its value.

now we end up with x <-3, which means that the value of x should be less than -3 in order to satisfy the equation.

So -5 is an answer, -4 is an answer, but not -3 because it should be less than -3 not equal.

As for number 9 the dash underneath the less than symbol means that it can equal to.

Hope this helps.

3 0

3 years ago

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How do I find the value of an expression ​

How do I find the value of an expression