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Darya [45]
3 years ago
5

Amy is having her birthday party at a roller skating rink. The rink charges a fee of $50 plus $8 per person. If Amy wants to spe

nd at the most $170 for the party at the rink, how many people can she invite to her party? Write a let x statement, an inequality and solve.
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

(170 - 50)/8 = X

Step-by-step explanation:

X = amount of people

(170 - 50)/8 = X

Inequality

X = Number of People

50+(8*X) \leq 170

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To solve 7-2a-5-14=-2+3a :

1) combine like terms: 7-19 - 2a = -2 + 3a, and then -10 = 5a

2) solve this equation for a: a = -10/5 = -2.

The solution of 7-2a-5-14=-2+3a is a = -2.

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A window shaped like a parallelogram has an area of 23 4/5 square feet. The height of the window is 2 4/5 feet. How long is the
USPshnik [31]

Answer:

base = 8\frac{1}{2}ft

Step-by-step explanation:

The general formula for the area of a parallelogram is:

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Using the given values for area and height, we can solve for the missing variable of 'b':

23\frac{4}{5}=\frac{119}{5}

2\frac{4}{5}=\frac{14}{5}

\frac{119}{5}=\frac{14}{5}h

Multiply both sides by the reciprocal:

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5 0
3 years ago
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 7 dollars. If a sample of 51 bags of shri
damaskus [11]

Answer:

P(|\bar{x}-40| > 0.6)=0.5404

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 40 dollars

Standard Deviation, σ = 7 dollars

Sample size,n = 51

We are given that the distribution of cost of shrimp is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{7}{\sqrt{51}} = 0.9801

P(sample mean would differ by true mean by more than 0.6)

P(|\bar{x}-40| > 0.6)\\\Rightarrow = 1-P(39.4

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0.5404 is the required probability.

6 0
3 years ago
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