Least to greatest -4.3, -82.5, -41 4/5, -13 1/8

You work in a machine design department and need to specify the diameter of a pin that slides back and forth through a hole. The

Leona [35]

Answer:

B. 0.478

Step-by-step explanation:

3 0

1 year ago

Given right triangle XYZ, what is the value of tan(60°)?

Svetlanka [38]

we know that

Step $1$

in the right triangle XYZ

Applying the Pythagorean Theorem

Find the value of ZY

$XY^{2}=XZ^{2} +ZY^{2} \\ ZY^{2}=XY^{2}-XZ^{2}\\ ZY^{2}=42^{2}-21^{2}\\ ZY^{2}=1,323\\ ZY=\sqrt{1,323}\ units$

$ZY=21\sqrt{3}\ units$

Step $2$

in the right triangle XYZ

Find tan $60$ °

we know that

$tan\ 60=\frac{opposite\ side\ angle\ 60}{adjacent\ side\ angle\ 60}$

in this problem

opposite side angle $60$ is ZY

adjacent side angle $60$ is XZ

so

$tan\ 60=\frac{ZY}{XZ} \\ \\ tan\ 60=\frac{21\sqrt{3}}{21} \\ \\ tan\ 60=\sqrt{3}$

therefore

the answer is

$\sqrt{3}$

3 0

1 year ago

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Two professors at a nearby university want to co-author a new textbook in either economics or statistics. They feel that if they

WARRIOR [948]

Answer:

0.3 or 30%

Step-by-step explanation:

The professors will only seek a smaller publisher if they cannot place the statistics book with a major publisher. If the probability of getting a major publisher is 40% and the probability of getting a smaller publisher is 50%, then the probability that the statistics book would wind up being placed with a smaller publisher is given by:

$P=(1-P(major))*P(minor)\\P=(1-0.4)*0.5\\P=0.3$

The probability is 0.3 or 30%.

3 0

2 years ago

A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the n

AVprozaik [17]

X number of male students
Y number of female students
Z number of the adults
X=(1 + 7)Z=8Z
Y= X/2
X +Y +Z = 82
8Z +8Z/2 +Z=82 implies Z=82/26=3.1
so we take Z= 3

X= 24
and Y = 12

5 0

2 years ago

A biologist took a count of the number of fish in a particular lake and recounted the lake’s population of fish each of the next

oksano4ka [1.4K]

The <em>correct answer</em> is:

P(x) = 13x² – 10x + 350; 1,102 fish

Explanation:

I plotted this data in a graphing calculator. The screenshot is attached. You can see the curve of the parabola in the graph. I then ran the quadratic regression; again, the screenshot is attached. It lists the values of a, b and c for the equation y = ax²+bx+c.

8 0

1 year ago

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