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Andrej [43]
3 years ago
9

The maximum value of y in the equation y = -x^2 + 6x - 8

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0
-2/3
or
-0.6666666666666666......

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My actual weight is 112 pounds. The bathroom scale says that I weigh 111.1
yarga [219]

Answer:

It depends on certain factors

Step-by-step explanation:

If you're wearing shoes and heavy clothing/accessories at the doctors office while stepping on the scale. That could add on as weight. Or either scale (most likely the doctors scale) could pick up your weight more accurately than the other. This depends on the age of the scale or if the scale is electric or not.

8 0
3 years ago
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the
maria [59]

Answer:

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Step-by-step explanation:

Given that:

Total Number of cameras (n) = 8

Defective cameras = 4

X: number of defective cameras

For a binomial distribution :

P(x) = nCx * p^x * (1 - p)^(n - x)

Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5

If 2 samples are chosen at random :

Then, the binomial probability distribution will be :

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

5 0
3 years ago
For any nonnegative real number.
frutty [35]

Answer:

A

Step-by-step explanation:

We know that \sqrt{b}=b^{1/2}.

We also know that (a^b)^c=a^{bc}.

We can combine these facts to get (\sqrt{b})^2=(b^{1/2})^2=b^{1/2*2}=b^{1}=b.

So, the answer is \boxed{A} and we're done!

<em>Note: the non-negative part or the equation comes from the fact that you assume the square root of a negative number doesn't exist. You will change this assumption later in the year, or in further years.</em>

5 0
3 years ago
Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th
dem82 [27]

Answer:

1.25$/per quart of oil. 14.05 starting fee.  

Step-by-step explanation:

Give a variable that one quart of oil is o.

5o + starting fee +2.5 = 7o + starting fee

2o = 2.5

o = 1.25

substitute and we know starting fee is 14.05

8 0
4 years ago
Read 2 more answers
Evaluate the limit of tan 4x/ 4tan3x​
Brut [27]

Answer:

  1/3

Step-by-step explanation:

The ratio is undefined at x=0, so we presume that's where we're interested in the limit. Both numerator and denominator are zero at x=0, so L'Hôpital's rule applies. According to that rule, we replace numerator and denominator with their respective derivatives.

  \displaystyle\lim\limits_{x\to 0}\dfrac{\tan{(4x)}}{4\tan{(3x)}}=\lim\limits_{x\to 0}\dfrac{\tan'{(4x)}}{4\tan'{(3x)}}=\lim\limits_{x\to 0}\dfrac{4\sec{(4x)^2}}{12\sec{(3x)^2}}=\dfrac{4}{12}\\\\\boxed{\lim\limits_{x\to 0}\dfrac{\tan{(4x)}}{4\tan{(3x)}}=\dfrac{1}{3}}

6 0
3 years ago
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