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wariber [46]
3 years ago
10

Solve 3x2 + 18x + 15 = 0 by completing the square.

Mathematics
1 answer:
kondaur [170]3 years ago
3 0
<span>3x^2 + 18x + 15 = 0
15 + 18x + 3x2 = 0
3(5 + 6x + x2) = 0
</span>3((5 + x)(1 + x)) = 0
5 + x = 0
5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5
x = -5
<span>--------------------------------------------
1 + x = 0 x=-1
-5,-1 </span>
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At a university, 12% of students smoke. Calculate the expected number of smokers in a random sample of 140 students from this un
Masteriza [31]

Answer:

a) The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.

b) No, it is unlikely that smoking habits and waking up early to go to the gym on Saturday are independent.

Step-by-step explanation:

To calculate the expected numbers of smokers in a sample with size n=140 and proportion p=12%, we use the expected value of the binomial distribution:

E(x)=n\cdot p=140\cdot 0.12=16.8

The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.

If we take a sample at the opening of the gym, the sample is not expected to be representative of the population of the students. Most of the students that go to the gym usually have healthy habits, so the proportions of smokers is expected to be lower than the average of the university population.

4 0
3 years ago
Where is the function increasing?
creativ13 [48]

Hello from MrBillDoesMath!

Answer:

Increasing on the interval  [-5, -2]

Discussion:

The function value remains unchanged on [-2, 1] and decreases on [1,8]

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Read 2 more answers
If you can tell me what the missing number is.
Orlov [11]

Answer:

6

Step-by-step explanation:

So, to start answering this, lets recall the formula for a rectangles volume:

This formula is :

V=h*w*l

Lets plug in what we know, and solve for the missing variable.

We know that height(h) is 7.

We know that width(w) is 9.

We know that volume(V) is 378.

We are missing length(l)

So:

378=7*9*l

To find length(l), we must iscolate it.

To do this, we must get rid of the 7 and 9.

So lets start by dividing 378 by 9:

378/9=7*9/9*l

=

42=7*l

Now lets do the same thing with the 7 to iscolate l:

42/7=7/7*l

=

6=l

So our missing length(l) is 6.

Answer:

l = 6

Hope this helps!

5 0
3 years ago
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Tasya [4]

Answer:

{7x^2+168x+840}/{x+12}

Step-by-step explanation:

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3 years ago
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Colt1911 [192]
The answer is that there are more particles in 1 cubic cm. this is because within 1 cubic cm lead has 11.3g in compared to the 2.6 glass has. m/v= density. divide the masses over the volume and that will prove your answer.
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