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Tcecarenko [31]

2 years ago

6

The level of the water in a river rose 2.2 feet on Monday, rose 7.6 feet on Tuesday, fell 2 feet on Wednesday, and fell 7.6 feet

on Thursday. What was the total change, in feet, of the water level in the river between Monday and Thursday?
0.2

9.8

7.6

9.6

1 answer:

Alex Ar [27]2 years ago

4 0

Answer:

0.2

Step-by-step explanation:

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A sport analyst wants to determine the mean salary of a Baseball player for 2015. He believes an estimate of this average salary

djyliett [7]

Answer:

<em>The large sample size 'n' = 199.6569≅ 200</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given Standard deviation of salary for all baseball players for 2015 is about $5,478,384.55

<em>Standard deviation of of salary for all baseball players for 2015 </em>

<em> (S.D ) σ = $5,478,384.55</em>

Given estimate of this average salary for all baseball players for 2015

= $497,000

<em>Given Margin of error of error is = $497,000 </em>

<em>Level of significance ∝ = 80% </em>

<em>The critical value Z₀.₂₀ = 1.282 </em>

<u><em>Step(ii):</em></u><em>-</em>

<em>Margin of error of error is determined by</em>

<em> </em> $M.E = \frac{Z_{0.20} S.D}{\sqrt{n} }$ <em></em>

<em> </em> $497,000 = \frac{1.282 X 5,478,384.55}{\sqrt{n} }$ <em></em>

Cross multiplication , we get

$\sqrt{n} = \frac{1.282 X 5,478,384.55}{497,000 }$

On calculation , we get

√n = 14.13

<em>Squaring on both sides, we get</em>

n = 199.6569

<u><em>Conclusion</em></u><em>:-</em>

<em>The large sample size 'n' = 199.6569≅ 200</em>

<em> </em>

<em></em>

7 0

3 years ago

The what of a term is its numerical factor

juin [17]

A numerical factor<span> of a </span>term<span> is any number that can be factored out of the coefficient.</span>

3 0

3 years ago

A metal cylinder can with an open top and closed bottom is to have volume 4 cubic feet. Approximate the dimensions that require

Aleksandr-060686 [28]

Answer:

$r\approx 1.084\ feet$

$h\approx 1.084\ feet$

$\displaystyle A=11.07\ ft^2$

Step-by-step explanation:

<u>Optimizing With Derivatives </u>

The procedure to optimize a function (find its maximum or minimum) consists in :

Produce a function which depends on only one variable
Compute the first derivative and set it equal to 0
Find the values for the variable, called critical points
Compute the second derivative
Evaluate the second derivative in the critical points. If it results positive, the critical point is a minimum, if it's negative, the critical point is a maximum

We know a cylinder has a volume of 4 $ft^3$ . The volume of a cylinder is given by

$\displaystyle V=\pi r^2h$

Equating it to 4

$\displaystyle \pi r^2h=4$

Let's solve for h

$\displaystyle h=\frac{4}{\pi r^2}$

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

$\displaystyle A=\pi r^2+2\pi rh$

Replacing the formula of h

$\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )$

Simplifying

$\displaystyle A=\pi r^2+\frac{8}{r}$

We have the function of the area in terms of one variable. Now we compute the first derivative and equal it to zero

$\displaystyle A'=2\pi r-\frac{8}{r^2}=0$

Rearranging

$\displaystyle 2\pi r=\frac{8}{r^2}$

Solving for r

$\displaystyle r^3=\frac{4}{\pi }$

$\displaystyle r=\sqrt[3]{\frac{4}{\pi }}\approx 1.084\ feet$

Computing h

$\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet$

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

$\displaystyle A''=2\pi+\frac{16}{r^3}$

We can see it will be always positive regardless of the value of r (assumed positive too), so the critical point is a minimum.

The minimum area is

$\displaystyle A=\pi(1.084)^2+\frac{8}{1.084}$

$\boxed{ A=11.07\ ft^2}$

8 0

3 years ago

Help me please this is for a math test. <br> Thank you

zubka84 [21]

Answer:

x + 3y = -12

Step-by-step explanation:

y = mx + b

m is the slope = rise / run:

rise = 1

run = 3

the line is downhill so its negative

m = - 1 / 3

b is the y intercept which is when the line cross over the y axis: - 4

y = - 1/3x - 4

multiply both sides by 3

3y = -1x - 12

add x to both sides

x + 3y = -12

7 0

1 year ago

If Nicole saves $0.05 every day how much money will she have in 3 years

gavmur [86]

Answer:

$54.75

Step-by-step explanation:

0.05 x 365 = 18.35

18.25 x 3 = 54.75

7 0

3 years ago

Read 2 more answers