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Irina18 [472]
2 years ago
7

A manufacturing company plans to progressively increase its production capacity over the next few quarters. (A quarter is a peri

od of three months.) The increase in production can be modeled by the equation y = x6 − 25x4 + 199x2, where x is the number of quarters. What is the minimum duration required for the company to reach a production capacity of 4,975 units?
Mathematics
2 answers:
motikmotik2 years ago
8 0

Answer:

a

Step-by-step explanation:

SashulF [63]2 years ago
5 0
We are asked in the problem to determine the number of quarters that are needed to complete 4975 units given the equation y = x6 − 25x4 + 199x2 where y is the number of manufactured units and x is the number of quarters needed. 
substituting y = 4975, we find x. <span>x is readily found using calculator.</span>
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Kyle challenges you to a game. Each player rolls a standard number cube twice. If the sum of the results is divisible by 3, you
sweet [91]

Answer:

The probability of you winning is 1/3

No, it is not a fair game

Step-by-step explanation:

The first thing we need to have here is the sample space. This refers to the set of all possible results that can occur from the rolling.

Please check attachment for this

Kindly note that the total number of possible outcomes is 36.

And in the attachment, sums which are divisible by 3 are circled.

The number of circles we can count is 12

Thus, the probability of you winning would be number of circles/total number of outcomes = 12/36 = 1/3

Is it a fair game?

No, it is not

It can only be a fair game if the probability of winning equals probability of losing ( which is 18/36 = 1/2 or 0.5)

8 0
2 years ago
You and a friend have a hula hoop competition. you win 3 out of every 7 trials. your friend wins 5 more trials than you. how man
Ivenika [448]

Answer:

Total number of trials is 35.

Step-by-step explanation:

Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.  

To find : How many trials are in the competition?

Solution :

Probability of my winning is 3 out of 7 trials =\frac{3}{7}

and probability of my friend's winning is  =1-\frac{3}{7}=\frac{4}{7}  

Let there be n numbers of trials.

Therefore, my score after n trials =\frac{3n}{7}

and my friend's score after n trials   =\frac{4n}{7}

Now, the number of trials my friend won more than me is

\frac{4n}{7}-\frac{3n}{7}=\frac{n}{7}

We know, that my friend won 5 more trials than me so comparing the actual and given we get,

\frac{n}{7}=5\\n=7\times5=35

Therefore, total number of trials is 35.

We can also verify our answer by placing value of n,

After 35 trials I will win \frac{3\times 35}{7}=15 trials

and my friend will win \frac{4\times 35}{7}=20  trials.

Hence, my friend won 5 more trials than me.

3 0
2 years ago
A school district has 2 teaching positions to fill and there are 8 applicants to choose from. How many different possibilities a
Olenka [21]

I think the answer would be 56. Bc the first job has 8 different people who could get the job and then once someone is chosen for that slot the next teaching position only has 7 candidates. So you would take 8*7 which equals 56.

6 0
2 years ago
Read 2 more answers
44 tens is the same as
Lilit [14]
<span>44 tens is the same as 440 </span>
8 0
2 years ago
What is the exact volume of the cone? 80π ft³ 4003π ft³ 400π ft³ 418710π ft³ Outline of cone with a dotted line rising from midd
rodikova [14]
Volume of cone = 1/3 x pi x r^2 x h
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Volume = 1/3 x pi x 5^2 x 16 = 400/3 π ft^3
6 0
2 years ago
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