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user100 [1]
1 year ago
10

A restaurant earns $1445 on Friday and $1624 on Saturday. Write and solve an equation to find the amount xx (in dollars) the res

taurant needs to earn on Sunday to average $1500 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day.
Mathematics
1 answer:
Gennadij [26K]1 year ago
5 0
Total earned Friday = $1445
Total earned Saturday = $1624
Earnings Sunday - $xxx

Average over 3 day period = $1500
Therefor total over 3 day = $1500 x 3 = $4500
So earnigs friday + Saturday = $1445 + $1624 = $3069
                                                   $4500 - $3069 = $1431 earned on Sunday
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The correct answer is : -120
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Which graph shows a proportional relationship between the number of hours of renting a canoe and the total amount spent to rent
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Uh pick a graph that is straight line and passes through 0

Step-by-step explanation:

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Suppose the Sunglasses Hut Company has a profit function given by P ( q ) = − 0.02 q 2 + 5 q − 30 , where q is the number of tho
Andrew [12]

Answer:

A) Pairs of sunglasses should be sold to maximize profits is 100 thousand.

B) The actual maximum profits that can be expected is 180 thousands dollars.

Step-by-step explanation:

Given : Suppose the Sunglasses Hut Company has a profit function given by P(q)=-0.02q^2+4q-20

where, q is the number of thousands of pairs of sunglasses sold and produced and P(q) is the total profit, in thousands of dollars, from selling and producing q pairs of sunglasses.

To find :

A) How many pairs of sunglasses (in thousands) should be sold to maximize profits?

Profit is P(q)=-0.02q^2+4q-20

Compare with general quadratic equation ax^2+bx+c

a=-0.02, b=4, c=-20

The maximum value of quadratic function is at x=-\frac{b}{2a}

So, maximum profit occur at q is given by,

q=-\frac{4}{2(-0.02)}

q=\frac{4}{0.04}

q=100

i.e. 100 thousand pair of sunglasses.

Pairs of sunglasses should be sold to maximize profits is 100 thousand.

B) What are the actual maximum profits (in thousands) that can be expected?

Maximum profit occurs at q=100 thousand pairs is given by,

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7 0
1 year ago
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maks197457 [2]

Answer:

p = 0.293

Conclusion:

"There is insufficient evidence to state that the distribution of fish in Green Valley Lake is not the same as the distribution of fish in Echo Lake."

Step-by-step explanation:

------------R/trout--O/trout---bass--catfish---total

GVL - - - 105 - - - 27 - - - - - 35--- 24 - - - 191

EL - - - - 135------- 48-------- 67 - - 43 - - - 293

Total - - 240 - - - 75 - - - - - 102--- 67 - - - 484

Note : GVL = GREEN VALLEY LAKE ; EL = ECHO LAKE.

H0: The distribution of fish caught in green valley is the same as that caught in Echo lake.

H1: The distribution of fish caught in Green Valley lake is different from that caught in Echo valley lake.

Using the chi-squared test statistic calculator ;

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p-value = 0.293

Conclusion:

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(8.8 × 106)(5 × 102)

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= 475,728

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