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nikdorinn [45]
3 years ago
7

A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t^2+ 550. What is the

velocity of the ball after 3 seconds?
I think the answer is -20.6 ft./sec. Just looking for confirmation. 
Mathematics
1 answer:
Drupady [299]3 years ago
4 0
Yes it is -20.6ft./sec
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How do you evaluate 3f(2)
d1i1m1o1n [39]

The answer should be 6f. You multiply the 3 and the 2 and then put the f at the end (:

5 0
3 years ago
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A machine fills containers with a particular product. Assume the filling weights are normally distributed with a variance of 0.1
Ghella [55]

Answer:

z=-0.674

And if we solve for \mu we got

\mu=12 +0.674*0.4=12.270

So then the mean is 'mu = 12.270 for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sqrt{0.16}= 0.4)  

For this part we want to find a value a, such that we satisfy this condition:

P(X>12)=0.85   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.85 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.85

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.674

And if we solve for \mu we got

\mu=12 +0.674*0.4=12.270

So then the mean is 'mu = 12.270 for this case.

8 0
3 years ago
If m∠NOP = 24° and m∠NOQ = 110°, what is m∠POQ?
andrew11 [14]

Correct answer for the above question is - option B. 86°

<u>Step-by-step explanation:</u>

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

<u>∠POQ = 86°</u>

Angle POQ is  86°

Thus we can conclude option B as correct answer.

4 0
3 years ago
(x,-4) and (2,8): m = -3 find the missing value. it is in slope formula.
Snezhnost [94]

Answer:

The value of x = 6

Step-by-step explanation:

Given

  • The point (x,-4)
  • The point (2,8)

To determine

  • m = -3

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

here:

  • (x₁, y₁) = (x, -4)
  • (x₂, y₂) = (2, 8)
  • m = -3

so substitute (x₁, y₁) = (x, -4) , (x₂, y₂) = (2, 8)  and m = -3

m =  [y₂ - y₁] /  [x₂ - x₁]

-3 =  [8 - (-4)] / [2 - x]

-3 = [12] / [2-x]  

-3 (2-x) = 12

-6+3x = 12

3x = 12+6

3x = 18

divide  both sides by 3

3x/3 = 18/3

x = 6

Therefore, the value of x = 6

7 0
3 years ago
I learned it before but now I forgot it. Please help!
JulijaS [17]
X should be 3,

because 8x means 8 times what number.

So 8x must be 3.

8 times 3 = 24. 24 +5 = 29.

Hope you Understand :) !
6 0
3 years ago
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