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1 year ago

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1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75

at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
(c) Explain your answer to Part 1b.

2 answers:

svlad2 [7]1 year ago

7 0

Answer:

Step-by-step explanation:

AlladinOne [14]1 year ago

5 0

Answer:

b

Step-by-step explanation:

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Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

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Answer:

a) $P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(z>0.686)$

And we can find this probability using the complement rule, the normal standard table or excel and we got:

$P(z>0.686)=1- P(Z$

c) $P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.5$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.5$

Step-by-step explanation:

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".

Part a

Let X the random variable that represent the velocities of a population, and for this case we know the distribution for X is given by:

$X \sim N(46.8,1.75)$

Where $\mu=46.8$ and $\sigma=1.75$

We are interested on this probability

$P(X$

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 apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

Part b

$P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(z>0.686)$

And we can find this probability using the complement rule, the normal standard table or excel and we got:

$P(z>0.686)=1- P(Z$

Part c

$P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.5$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.5$

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1 year ago

A land surveyor places two stakes 500 ft apart and creates a perpendicular to the line that connects these two stakes. He needs

cupoosta [38]

Answer:
We will choose the last option is correct.
Step-by-step explanation:
A land surveyor places two stakes 500 ft apart and locates the midpoint between the stakes.
From the midpoint, he needs to place another stake 100 ft away that is equidistant to the two original stakes.
Therefore, to apply the Perpendicular Bisector Theorem, the land surveyor would have to identify a line that is "perpendicular to the line connecting the two stakes and going through the midpoint of the two stakes".
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Answer: $\frac{1}{36}\pi L$

Step-by-step explanation:

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Make the conversion from inches to feet. Since $1\ ft=12\ in$ ,you get:

$(2\ in)(\frac{1\ ft}{12\ in})=\frac{1}{6}\ ft$

So in this case you can identify that:

$r=\frac{1}{6}\\\\h=L$

Then, substituting them into the formula and simplifying you get:

$V=\pi(\frac{1}{6})^2L\\\\V=\frac{1}{36}\pi L$

Therefore, the expression for the volume of L feet of drainage tubing, in cubic feet is:

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Answer:

$5 = 19 - 4v$

Step-by-step explanation:

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Let l be Lyle's height, h be Harry's height and v be Vince's height.

Thus, we can write:

$l = 2(h-v)$

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No, this rel. is not proportional because of the addition involved ("plus 1 lb for each guest").

A proportional rel. features mult. only.

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