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vekshin1
3 years ago
10

Solve the equation using the quadratic formula. y2-8y + 17 = 0 The solution set is

Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

Step-by-step explanation:

Formula is:

x=(-b±  √b^2-4ac)/2a

a= 1

b= -8

c= 17

x= (-(-8)±√64-4(1)(17))/2

x= (8±√-4)/2

now

x1= (8+√-4)/2

x2=(8-√-4)/2

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Find the coordinates of the point <br> 3/10 of the way from A to B.
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The horizontal distance from A to the point = 3/10 * 14 = 4.2, so the c coordinate of the point is -3+ 4.2
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So the y coordinate = -5+ 3.6
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An average American child aged 0-2 years old has about 915 minutes of screen time in 5 days. 6 times the difference between a ch
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Answer:

For children ages 2 to 5, limit screen time to one hour a day of high-quality programming. As your child grows, a one-size-fits-all approach doesn't work as well. You'll need to decide how much media to let your child use each day and what's appropriate.

Step-by-step explanation:

For kids aged 2 to 5, screen time should be limited to 1 hour per day, and parents should watch the programs with their child. Also, parents should have times when screens are turned off, and bedrooms should be media-free.

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Rationalize the denominator !!!
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Answer:

\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}\\

1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}

\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13

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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
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