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Setler79 [48]
3 years ago
12

Frank devised a formula for his catering business that calculates the number of meatballs he needs to prepare. The formula is m=

4a+2c, where c=number of children; m= number of meatballs; a=number of adults. How many meatballs are required for a party of 25 adults and 7 children?
Mathematics
1 answer:
NeX [460]3 years ago
5 0
So if m=4a+2c is your equation then all you have to do is plug in the numbers.

So you then get m=4(25)+2(7), for 25 adults and 7 children.

Then you solve.  m=100+2(7)
                           m=100+14
                            m=114
So Frank will need 114 Meatballs for the party of 25 adults and 7 children
 Hope this helps! And if you need anything else just ask :)


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If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?
irina [24]

Answer:

i think factor the expression (r+7)(r+14) is answer

Step-by-step explanation:

8 0
2 years ago
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A particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls invol
Phoenix [80]

Answer:

0.1091 or 10.91%

Step-by-step explanation:    

We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.  

We will use Bernoulli's trials to solve our given problem.

P(X=x)=^nC_x\cdot P^x(1-P)^{n-x}

P(X=6)=^{20}C_6\cdot (0.20)^6(1-0.20)^{20-6}

P(X=6)=\frac{20!}{6!(20-6)!}\cdot (0.20)^6(0.80)^{14}

P(X=6)=\frac{20!}{6!(14)!}\cdot (0.000064)(0.04398046511104)

P(X=6)=38760\cdot (0.000064)(0.04398046511104)

P(X=6)=0.1090997009730

P(X=6)\approx 0.1091\\

Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.

4 0
3 years ago
Anyone know this? Will give brainiest!
GrogVix [38]
The answer to this is D!!!!

3 0
3 years ago
A line is shown in the graph below.
Kay [80]

Answer:

-3/2

Step-by-step explanation:

One can read off the slope of the given line directly from the graph.  As x increases by 3, y increases by 2.  Thus, the slope of the given line is

m = rise / run = 2 / 3

Any line perpendicular to this given line has a slope which is the negative reciprocal of the slope previously found:

                                                      -1              3

Slope of perpendicular line = ------------ = - -----

                                                     2/3             2

This matches the first of the given possible answer choices.

5 0
3 years ago
Find the standard deviation of 21, 31, 26, 24, 28, 26
Vesnalui [34]

Given the dataset

x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}

We start by computing the average:

\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26

We compute the difference bewteen each element and the average:

x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}

We square those differences:

(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}

And take the average of those squared differences: we sum them

\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69

And we divide by the number of elements:

\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5

Finally, we take the square root of this quantity and we have the standard deviation:

\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39

8 0
3 years ago
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