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DiKsa [7]
3 years ago
14

Use the equation √4x+15 - 3√x How many potential solutions are there? ​

Mathematics
1 answer:
topjm [15]3 years ago
7 0
There is one potential solutions and no extraneous solutions.
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Im stuck on this question, Please help!
Alexxx [7]
= (x^18y^24)/(x^2y^2)

Simplified = x^16y^22

The last answer is correct (x^16y^22)
3 0
3 years ago
A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while
bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.

The above situation can be represented through binomial distribution;

P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....

where, n = number of trials (samples) taken = 12 bottles

             x = number of success  = 2 or more bottles

            p = probabilitiy of success which in our question is probability that  

                 bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X \geq 2)

  P(X \geq 2) = 1 - P(X = 0) - P(X = 1)

                 = 1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}

                 = 1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})

                 = <u>0.00617</u>

8 0
3 years ago
Can someone please help me with 5 and 6(Best answer = Brainliest)
Alex_Xolod [135]
5. 
First plug the value of x into the equation
 2(-2y-12)+y=9
then solve for y
2(-2y)+2(-12)+y=9 \\ -4y+(-24)+y=9 \\ -4y-24+y=9 \\ -3y-24=9 \\ -3y=33 \\ \frac{-3y}{-3}= \frac{33}{-3} \\ y = -11

6. Do the same steps 
5(-y-1)+y=-13 \\ 5(-y)+5(-1)+y=13 \\ -5y+(-5)+y=13 \\ -5y-5+y=13 \\ -4y-5=13 \\ -4y=18 \\ \frac{-4y}{-4}= \frac{18}{-4} \\ y=-4.5 

8 0
3 years ago
What is square root<br><img src="https://tex.z-dn.net/?f=what%20is%20%20%5C%3A%20square%20%5C%3A%20root%20%5C%3A%20of%20%20%5Csq
andreev551 [17]

Answer:

9 :)

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

7 0
3 years ago
Read 2 more answers
How many 3/4 cup servings of cereal can be made from the box of cereal that has 11 1/4 cereal?
Kipish [7]
15 cereal servings that measure 3/4 cup 
8 0
3 years ago
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