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3 years ago

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Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. If the friends spen

d a total of $62.50, how much does each small bag of popcorn cost? Write and solve an equation.

1 answer:

Sonja [21]3 years ago

5 0

Answer:

$4.50

Step-by-step explanation:

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pav-90 [236]

Your answer is 56 and d

8 0

2 years ago

Help urgent<br> I need this done quick

balu736 [363]

Answer:

It is supplementary.

Step-by-step explanation:

Supplementary angles are angles that have two angles adding up to 180°. You can tell by just finding the straight line that equals 180° then seeing a line that separates the whole measurement into two angles, but together making a 180° angle still. Hope this helps! :D

Meanings of the other Options:

Alternate Interior Angles - <em>Angles formed when two parallel or non-parallel lines are intersected by a transversal. The angles are positioned at the inner corners of the intersections and lie on opposite sides of the transversal.</em>

Corresponding Angles - <em>Angles that are in the same relative position at an intersection of a transversal and at least two lines. If the two lines are parallel, then the corresponding angles are congruent.</em>

Alternate Exterior Angles - <em>Angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Exterior angles lie on opposite sides of the transversal but outside the two parallel lines.</em>

<em />

Parallel Lines - <em>Two lines that never intersect. Like an equal sign for example (=).</em>

<em />

Transversal - <em>A line the cuts through a parallel line. Like a non-equal sign for example (≠).</em>

6 0

3 years ago

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6

nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=1.6)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 2.58$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.58(1.6)}{0.1})^2 =1704.03$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.1$ mm is n=1705.

6 0

3 years ago

PLEASE PLEASE HELP ASAPP

adoni [48]

Answer:

17pi/15

Step-by-step explanation:

s = r *theta where r is the radius and theta is the central angle in radians

Convert 51 to radians

51 * pi/180 = 51pi/180

s = 4 * 51pi/180

= 17pi/15

5 0

3 years ago

Read 2 more answers

What is the third term in the expansion of (x+2)^3

maw [93]

Answer:

(x+2)^3=x^3-6x^2+12x-8

Step-by-step explanation:

6 0

3 years ago