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mr Goodwill [35]

3 years ago

5

find the distance of the each data value below from the mean . Then find the mean absolute deviation of the data . Round all cal

culations to the nearest hundredth when necessary. Data values 4,6,9,10 ,15,19

1 answer:

Sedaia [141]3 years ago

3 0

Answer: add up all the numbers to get you number and then divide it by the number of the numbers you have.

Step-by-step explanation:

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A ball is thrown from a height of 105 feet with an initial downward velocity of 9 ft/s. The ball's height h (in feet) after t se

zloy xaker [14]

Answer:

t = 2.28 s

Step-by-step explanation:

h = 105 - 9t - 16t ^ 2

0 ft = 105 ft - 9t -16^t

To find the roots of a quadratic function we have to use the Bhaskara formula , the roots will give us the time it takes to reach zero height

ax^2 + bx + c = 0

-16^t - 9t + 105 ft = 0 ft

a = -16 b = -9 c = 105

t1 = (-b + √ b^2 - 4ac)/2a

t2 =(-b - √ b^2 - 4ac)/2a

t1 = (9 + √(-9^2 - (4 * (-16) * 105)))/2 * (-16)

t1 = (9 + √(-81 + 6720))/ -32

t1 = (9 + √6639)/ -32

t1 = (9 + 81.84)/ -32

t1 = 90.84 / -32

t1 = -2.83 s

t2 = (9 - √(-9^2 - (4 * (-16) * 105)))/2 * (-16)

t2 = (9 - √(-81 + 6720))/ -32

t2 = (9 - √6639)/ -32

t2 = (9 - 81.84)/ -32

t2 = -72.84 / -32

t2 = 2.28 s

we have two possible values, we are only going to take the positive one, beacause we are talking about time

t2 = 2.28 s

3 0

4 years ago

In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there

yan [13]

Answer:

Explained below.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.

Then, the mean of the sample means is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the sample means is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

a

The expected value of the sample mean of their weights is same as the population mean, <em>μ</em> = 1515 lbs.

b

The standard deviation of the sampling distribution of the sample mean weight is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25$

c.

The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:

$\text{Average Weight}=\frac{2500}{16}=156.25$

d

Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:

$P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z$

4 0

3 years ago

How do you know if an equation of a line is a vertical line?

Gemiola [76]

Answer:

similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.

7 0

2 years ago

Solve for Y= 1680 + 0.72

Alex17521 [72]

Y=1680+0.72
y=1680.72

7 0

3 years ago

Can anyone help me solve these please

pickupchik [31]

R^2+(ab)^2= (ao)^2
ab=6
ao=11.7

Plug in

r^2+6^2=11.7^2

simplify

r^2+36= 136.89
-36 both sides

r^2=100.89
square root both sides

r= 10.04 rounded 10

6 0

3 years ago