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ddd [48]
2 years ago
8

How to make 3x + (-5) = 19 a 3 step step equation

Mathematics
1 answer:
lbvjy [14]2 years ago
4 0

Answer:

8

Step-by-step explanation:

You subtract -5 from 19, giving you 24. You then divide 24 from 3, giving you 8.

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Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed w
cupoosta [38]

Answer:

The cutoff sales level is 10.7436 millions of dollars

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 12, \sigma = 1.2

15th percentile:

X when Z has a pvalue of 0.15. So X when Z = -1.047.

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

-1.047 = \frac{X - 12}{1.2}

X - 12 = -1.047*1.2

X = 10.7436

The cutoff sales level is 10.7436 millions of dollars

6 0
3 years ago
Integrate Sec (4x - 1) Tan (4x - 1) Dx ​
Delicious77 [7]

\bf \displaystyle\int~sec(4x-1)tan(4x-1)dx \\\\[-0.35em] ~\dotfill\\\\ sec(4x-1)tan(4x-1)\implies \cfrac{1}{cos(4x-1)}\cdot \cfrac{sin(4x-1)}{cos(4x-1)}\implies \cfrac{sin(4x-1)}{cos^2(4x-1)} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int~\cfrac{sin(4x-1)}{cos^2(4x-1)}dx \\\\[-0.35em] ~\dotfill\\\\ u=cos(4x-1)\implies \cfrac{du}{dx}=-sin(4x-1)\cdot 4\implies \cfrac{du}{-4sin(4x-1)}=dx \\\\[-0.35em] ~\dotfill

\bf \displaystyle\int~\cfrac{~~\begin{matrix} sin(4x-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{u^2}\cdot \cfrac{du}{-4~~\begin{matrix} sin(4x-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{1}{4}\int\cfrac{1}{u^2}du\implies -\cfrac{1}{4}\int u^{-2}du \\\\\\ -\cfrac{1}{4}\cdot \cfrac{u^{-2+1}}{-1}\implies \cfrac{1}{4}\cdot u^{-1}\implies \cfrac{1}{4u}\implies \cfrac{1}{4cos(4x+1)}+C

5 0
3 years ago
13 out of 60 people surveyed were left handed calculate the angle you would use in a pie chart
PtichkaEL [24]
Total angle for the pie chart = 360°

13 out of 60 =    13 / 60

Angle for it =    13 / 60 * 360 = 13 * 6 = 78°

Angle used = 78°
4 0
3 years ago
Use the table to write a quadratic function in vertex form. Then rewrite the function in standard form.
Kisachek [45]

Answer:

Step-by-step explanation:

The graph decreases at first, then changes direction at (2, 5).

y = a(x-2)^2 + 5

Plug in (1,11) and solve for a:

11 = a(1-2)^2 + 5

a = 6

Equation in vertex form:

y = 6(x-2)^2 + 5

8 0
2 years ago
Find the equation of the line<br> Use exact numbers
GaryK [48]
Your Y intercept is 5
Y= mx + 5
Rises -5 / runs 2.5 so
Y= -2x + 5

8 0
2 years ago
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