Plz help with questions 12 box and 13-14 Due tomorrow !!!

belka [17]

$\bf \cfrac{1}{-5z^{-5}}\\\\
-------------------------\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\\ \quad \\
% negative exponential denominator
a^{{ n}} \implies \cfrac{1}{a^{- n}}
\qquad \qquad 
\cfrac{1}{a^{- n}}\implies \cfrac{1}{\frac{1}{a^{ n}}}\implies a^{{ n}} \\\\
-------------------------\\\\
thus
$

$\bf -\cfrac{1}{5}\cdot \cfrac{1}{z^{-5}}\implies -\cfrac{1}{5}\cdot \cfrac{1}{\frac{1}{z^5}}\implies -\cfrac{1}{5}\cdot \cfrac{\frac{1}{1}}{\frac{1}{z^5}}\implies -
\cfrac{1}{5}\cdot \cfrac{1}{1}\cdot \cfrac{z^5}{1}
\\\\\\
-\cfrac{z^5}{5}$

3 0

2 years ago

2 7/8 plus 3 2/8 plus 1 1/8

Olin [163]

Answer:

7.25

Step-by-step explanation:

2 7/8 + 3 2/8 * 1 1/8 = 7.25

7 0

3 years ago

Read 2 more answers

Which of the following is the equation of a line that passed though the points (2,5) and (4,3)

STatiana [176]

The correct answer is C as it has the same line of equation. We can make this clear by verifying that these two points make the same equation or not. So as we can see if we calculate the gradient using the formula y2 - y1 / x2 - x1.

As we now know that the gradient is -1. We can simply put any one point in the equation y - y1 = m(x - x1) to get the line of equation. WHen we calculate the line of equation it come out to be y = -x + 7

4 0

3 years ago

PLEASE HELP!! Write the equation of the graph.

Jet001 [13]

When you first look at thius graph, you should notice two things immedietly.

1. This graph will have a positive slope, because the line is going up.

2. the y-intercept is -2 because that's where it is on the y-axis.

Now, you have been given two points, (2, 1) and (0, -2). You can put these two points into the slope formula, which is: m = $\frac{y2 - y1}{x2 - x1}$ $\frac{(-2) - 1}{0 - 2}$ = $\frac{3}{2}$ = 3/2.

So, now you have your slope and your y-intercept. Now, just put them into y = mx + b form!

y = 3/2x - 2 (it is ubtracting two instead of adding two because it is a negative two.)

Hope this helps!!
~Kiwi

8 0

2 years ago

Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to

attashe74 [19]

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

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 distributions 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .