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Sergio039 [100]
3 years ago
5

The theme park company is building a scale model of the killer whale stadium main show tank for an investor's presentation. Each

dimension will be made 6 times smaller to accommodate the mock-up in the presentation room. How many times smaller than the actual volume is the volume of the mock-up?
Actual Volume: 359,007 ft^3
Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0
Well if each dimension is made 6 times smaller and we have 3 dimensions. so we would have to divide each dimension by 6. if we divide each dimension by 6 then we divide by 6 to the third power or 6^3. which is 218 times smaller. so if it was a cube and its actual dimension was 6 x 6 x 6, the volume of this is 218. then each dimension is 6 times smaller. this means divide each by 6 and we get 1 x 1 x 1. the volumenof this is 1 cubic foot. so it would be 218 times smaller.
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A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey
Lubov Fominskaja [6]

Answer:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

8 0
4 years ago
here is a variable, y, with five observations: 42, 86, 6, 14, 22 the mean of y is 34. here is the formula for calculating the st
34kurt

                           

Two Spiteful Uncles Walking to the Beat

A Short Story

by Grim

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Lee walked over to the window and reflected on his creepy surroundings. The snow flurried like thinking puppies.

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Lee gulped. He was not prepared for Morwenna.

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5 0
1 year ago
(08.01) The graph shows two lines, Q and S. A coordinate plane is shown with two lines graphed. Line Q has a slope of one half a
ki77a [65]

Answer:

There are no solutions for the pair of equations.

The lines are parallel to each other

Step-by-step explanation:

Line Q has a slope of 1/2 and crosses the y axis at 3.

This mean at x=0, y=3

Using the equation of a straight line expression to find the slope

y=mx +c  where m is slope and c in the y intercept you can write the equation for Line Q as;

y=mx+c\\\\y=\frac{1}{2} x+c\\\\3=\frac{1}{2} *0+c\\\\3=c\\\\y=\frac{1}{2} x+3

For the Line S , slope is 1/2  and the line crosses the y axis at -2 , which represents the c in the equation y=mx +c

The equation for S will be

y=\frac{1}{2} x-2

Using the graphing tool to plot the two equations for line  Q and line S we notice that the lines are parallel .For solutions, they have to intersect.

8 0
3 years ago
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the height of a plant in centimeters is modeled as a function of time, in days. consider this graph of the function enter the av
MrRa [10]

The average rate of change for the height of the plant measured in centimeters per day between day 0 and day 20 is 1.32 cm per day.

<h3>What is average height?</h3>

The average height is the ratio of change in height of the plant and the time taken taken for that change.

Given is the height of a plant in centimeters is modeled as a function of time, in days.

For day 0, the height is 18cm and the height for day 20 is 42 cm, then the average height change is

height per day = 42 - 18/ 20 -0

height per day  = 1.2 cm/day

Thus, the average height of plant is  1.2 cm/day.

Learn more about  average height.

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6 0
2 years ago
Which graph represents the equation y = 3/4x - 3
Gnesinka [82]
The bottom left graph since it is the only one tp go through -3 and go up 3/4

5 0
4 years ago
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