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Contact [7]
2 years ago
15

If a caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost

for 100 students will be $750 and the cost for 150 students will be $1050. find the caterers fixed cost and the cost per student served.
Mathematics
2 answers:
zhuklara [117]2 years ago
8 0
It would be $6 per student while the fixed cost is $150
lozanna [386]2 years ago
3 0
x+100y=750 \\ x+150y=1050 \\ 50y=300 \\ y=6 \\ x=750-600=150
The fixed cost is $150, while the per-student cost is $6.
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Question 5
SVETLANKA909090 [29]
I have to go see my dog in the hospital today
8 0
3 years ago
Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,
mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = \frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}

or

 E[X] = \frac{\textup{1+2+3+4+5+6}}{\textup{6}}

or

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = \frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}

or

E[X²] = \frac{1+4+9+16+25+36}{\textup{6}}

or

E[X²] = \frac{91}{\textup{6}}

or

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

or

variance = 15.167 - 3.5²

or

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0
3 years ago
Part A: What is the ratio of the number of students receiving a C and the number of students receiving an A? * 1:4 6:1 4:1 3:1 P
Lady bird [3.3K]

Answer:

a. 4 : 1

b. 2 students

c. 3 : 1

Step-by-step explanation:

a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:

12 : 3

Take it to the lowest form by dividing both sides by 3:

= 4 : 1

b. There were 4 students with a D grade and 8 with a B. The ratio is:

= 4 : 8

Taken to the lowest form that would be:

= 1 : 2

This means that for every student receiving a D, 2 students received an A.

c. 12 students received a C and 4 students received a D. That ratio is therefore:

= 12 : 4

Take to the lowest form by dividing both sides by 4:

= 3 : 1

6 0
3 years ago
Seriously guys, begging for your help. First to successfully do this right and show me their work gets brainliest
koban [17]

Answer:

1000 one hundred 56 million bagillion and 9

Step-by-step explanation:

5 0
3 years ago
The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 256.3 and a standard deviation of
AnnyKZ [126]

Answer:

a) In the interval  (  55,9  ;   456,7 ) we will find 99,7 % of all values

b) In the interval  (  122,7  ;  389,9 ) we find 95,4 % of all values

Step-by-step explanation:

For a Normal distribution N (μ ; σ ) the Empirical rule establishes that the intervals:

( μ  ±  σ  )          contains 68,3 % of all values

( μ  ±  2σ  )        contains 95,4 % of all values

( μ  ±  3σ  )        contains 99,7 % of all values

If   N ( 256,3 ; 66,8 )

σ  =  66,8        ⇒   3*σ  = 3 * 66,8  = 200,4

Then:     256,3 - 200,4  =  55,9

And        256,3 + 200,4 = 456,7

a) In the interval  (  55,9  ;   456,7 ) we will find 99,7 % of all values

b) 2*σ  = 2 * 66,8  = 133,6

Then  256,3 - 133,6  = 122,7

And    256,3 + 133,6 = 389,90

Then in the interval  (  122,7  ;  389,9 ) we find 95,4 % of all values

4 0
2 years ago
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