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Lelu [443]
3 years ago
15

Kellen wants to rent a banquet room in a restaurant for her cousin’s baby shower. The restaurant charges $350 for the banquet ro

om plus $32.50 per person for lunch. How many people can Kellen have at the shower if she wants the maximum cost to be $1,500?
please help
Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

35

Step-by-step explanation:

To solve this problem, we can make an equation using the values provided to us. The equation is shown below:

350 + 32.50x = 1,500

The first step is to subtract 350 from 1,500.

32.50x=1,500-350

32.50x=1,150

The last step is to divide 1,150 by 32.50 to get <em>x</em> by itself.

x=\frac{1,150}{32.50}

x=35.38

Kellen can have 35 people at the shower.

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The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean of 1262 and a s
Andrew [12]

Answer:

a) 1186

b) Between 1031 and 1493.

c) 160

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean of 1262 and a standard deviation of 118.

This means that \mu = 1262, \sigma = 118

a) Determine the 26th percentile for the number of chocolate chips in a bag. ​

This is X when Z has a p-value of 0.26, so X when Z = -0.643.

Z = \frac{X - \mu}{\sigma}

-0.643 = \frac{X - 1262}{118}

X - 1262 = -0.643*118

X = 1186

(b) Determine the number of chocolate chips in a bag that make up the middle 95% of bags.

Between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile.

2.5th percentile:

X when Z has a p-value of 0.025, so X when Z = -1.96.

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 1262}{118}

X - 1262 = -1.96*118

X = 1031

97.5th percentile:

X when Z has a p-value of 0.975, so X when Z = 1.96.

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 1262}{118}

X - 1262 = 1.96*118

X = 1493

Between 1031 and 1493.

​(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip​ cookies?

Difference between the 75th percentile and the 25th percentile.

25th percentile:

X when Z has a p-value of 0.25, so X when Z = -0.675.

Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 1262}{118}

X - 1262 = -0.675*118

X = 1182

75th percentile:

X when Z has a p-value of 0.75, so X when Z = 0.675.

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{X - 1262}{118}

X - 1262 = 0.675*118

X = 1342

IQR:

1342 - 1182 = 160

7 0
3 years ago
A store owner has 7.41 lbs. of candy. If she puts the candy into 9 jars, how much candy will each jar contain with how much left
BARSIC [14]
There would be about 0.82 lbs of candy in the jar.
Explanation: 7.41 divided by 9= .82333
6 0
3 years ago
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Solve the absolute value equation. If no solution write NO SOLUTION. −|2x+3|+8=−12
Fofino [41]

x=17/2,-23/2

Step-by-step explanation:

had this question hope it helps

7 0
3 years ago
What does -1 1/6 x 1/4 equal
DIA [1.3K]

The answer would be -7/24

-1x6+1/6x1/4

-6+1/6x1/4

-7/6x1/4

-7x1/6x4

-7/6x4

-7/24

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3 years ago
PLEASE HELP ME I DONT UNDERSTAND MY HOMEWORK AND ITS TUE TODAY
Scrat [10]

Answer:

All of the above

Step-by-step explanation:

The question is asking you which equation you can use for you to find the value of the undefined variable, n.

In this case, all of the equations above are eligible to find the value of the variable n since regardless of the variable position, you will yet be able to find its value.

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3 years ago
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