Analyze the diagram below and answer the question that follows.

A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $

Aloiza [94]

Considering the definition of an inequality, the number of people who can go to the amusement park is 3.

<h3>Definition of inequality</h3>

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.
less than <.
less than or equal to ≤.
greater than or equal to ≥.

An inequality contains one or more unknown values called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.

<h3>Number of people who can go to the amusement park</h3>

In this case, you know that:

A group of friends has no more than $65 to spend on parking and admission.
Parking is $9.75, and tickets cost $16.25 per person, including tax.

Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is

$9.75 + $16.25×p ≤$65

Solving:

$16.25×p ≤$65 - $9.75

$16.25×p ≤$55.25

p ≤$55.25÷ $16.25

p≤ 3.4

Finally, the number of people who can go to the amusement park is 3.

Learn more about inequality:

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4 0

1 year ago

What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?

Ne4ueva [31]

Answer:

A. Slope = -2, y-intercept = 2/3

Step-by-step explanation:

Convert the given equation into slope-intercept form:

3(y - 2) + 6(x + 1) - 2 = 0
3y - 6 + 6x + 6 - 2 = 0
3y + 6x - 2 = 0
3y = - 6x + 2
y = - 2x + 2/3

The slope is -2, the y-intercept is 2/3

Correct choice is A

4 0

2 years ago

Read 2 more answers

The value of a stock over a 12 year period form 2003 to 2015 is shown in the line graph. Which statement is not supported by the

lukranit [14]

The correct answer is the last one listed: the statement not supported by the graph is that a stock purchased in 2006 has not yet recovered the losses from 2008. That is not true.

3 0

2 years ago

Read 2 more answers

After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alu

valentina_108 [34]

Answer:

P-value for this hypothesis test is 0.00175.

Step-by-step explanation:

We are given that the alumni association conducted a survey to see if alumni were in favor of firing the coach.

A simple random sample of 100 alumni from the population of all living alumni was taken. Sixty-four of the alumni in the sample were in favor of firing the coach.

Let p = proportion of all living alumni who favored firing the coach

SO, Null Hypothesis, $H_0$ : p = 0.50 {means that the majority of alumni are not in favor of firing the coach}

Alternate Hypothesis, $H_A$ : p > 0.50 {means that the majority of alumni are in favor of firing the coach}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of the alumni in the sample who were in favor of firing the coach = $\frac{64}{100}$ = 0.64

n = sample of alumni = 100

So, test statistics = $\frac{0.64-0.50}{{\sqrt{\frac{0.64(1-0.64)}{100} } } } }$

= 2.92

Now, P-value of the hypothesis test is given by ;

P-value = P(Z > 2.92) = 1 - P(Z $\leq$ 2.92)

= 1 - 0.99825 = 0.00175

Therefore, the P-value for this hypothesis test is 0.00175.

4 0

3 years ago

A carpenter has a board of 18.5 feet long and needs to cut as many 1.75 feet long pieces as possible how many pieces can the car

Lostsunrise [7]

Answer:

Step-by-step explanation:

6 0

3 years ago