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zlopas [31]
3 years ago
11

Four entrees are on next Friday’s menu: BBQ ribs, seafood platter, roast beef, and filet mignon. The number of each item sold th

e last time this menu was offered was 76, 118, 96, and 154, respectively, for a total of 444 entrees sold. For the past five Fridays, the following noon meal counts were recorded: 447, 423, 437, 444, and 429. For next Friday, how many portions of roast beef will be forecasted?
Mathematics
1 answer:
bogdanovich [222]3 years ago
4 0

Answer:

95.

Step-by-step explanation:

Step one: the first step here is to find the mean or average of the data for the six(6) weeks of total entrees. That is, we will have;

Average = (444 + 447 + 423 + 437 + 444 + 429)/ 6 = 2,624 / 6 = 437.3.

Average = 437.3.

Step two: the next step here is to determine the popularity index for the roast beef roast beef will be forecasted and that will be;

popularity index = 96 / 444.

popularity index = 21.6%.

Step three: the quantity of roast beef that should be forecasted for next Friday will be;

Popularity index × Average.

0.216 × 437.3 = 95.

Hence, the quantity of roast beef that should be forecasted for next Friday will be 95.

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sergij07 [2.7K]

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

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ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

6 0
3 years ago
SOMEONE PLEASE HELP ME ASAP PLEASE!!!​
Alex17521 [72]

Answer:

BC=10

Step-by-step explanation:

BD-BC=14-4=10

4 0
3 years ago
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100 POINTS pleasee i need help and explain too
marysya [2.9K]
The answer is b to be sure
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3 years ago
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Find the value of k such that lim-->4 (x^2+x-k)/(x-4) exists
7nadin3 [17]

Answer:

k=20

Step-by-step explanation:

when x approaches 4, the denominator x-4 approaches 0

if the denominator is 0, it means that this is invalid

if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit

so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4

so x^2 + x - k = 0 when x = 4

4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20

6 0
2 years ago
The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typo
muminat

Answer:

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

λ = 0.2×7 + 0.3×5 = 2.9

According to Poisson distribution: {\displaystyle P(k{\text{ events in interval}})={\frac {\lambda ^{k}e^{-\lambda }}{k!}}}

Where \lambda is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

P(k > 2)= 1 - {P(k = 0) + P(k = 1) + P(k = 2)}

Substitute the respective values in the above formula.

P(k > 2)= 1 - ({\frac {2.9 ^{0}e^{-2.9}}{0!}} + \frac {2.9 ^{1}e^{-2.9}}{1!}} + \frac {2.9 ^{2}e^{-2.9}}{2!}})

P(k > 2)= 1 - (0.44596)

P(k > 2)=0.55404

Hence, the required probability is 0.55404.

4 0
3 years ago
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