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2 years ago

The sum of 4 consecutive integers is -26.What are the integers

Mathematics

1 answer:

AnnZ [28]2 years ago

7 0

Answer:

-38/4, -2 38/4, -4 38/4, -6 38/4

Step-by-step explanation:

x+(x+2)+(x+4)+(x+6) = -26

4x+12=-26

4x= -38

x=-38/4

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What is the 15th term in the sequence using the given formula? yn = 12n-1

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Answer:

Step-by-step explanation:

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yn = 12n-1

the 15th term is :y15 when x= 15

y15 = 12(15)-1

y15 = 179

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2 years ago

Tom goes to a restaurant and the food bill is $22. If he wants to give the waiter a 20% tip. What will the total cost of the mea

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2 years ago

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The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

The least number of items to produce is 41

Step-by-step explanation:

Average Cost

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

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2 years ago

A college has over 5,000 students, 10, percent of which are left-handed. A new lecture hall is being planned that will seat 300

Rama09 [41]

Answer:

Mean: 30 students

Standard deviation: 5.2 students

Step-by-step explanation:

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2 years ago

There are 12 students in a classroom, including the triplets joey, chloe, and zoe. If 3 of the 12 are randomly selcted to give s

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The probability of choosing Joey first is 1/12 .

If that happens, the probability of choosing Chloe next is 1/11 .

Then, the probability of choosing Zoe after that is 1/10 .

The probability of all these things happening is

(1/12) x (1/11) x (1/10)

= 1/1320 = 0.00076 = 0.076 percent

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3 years ago