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3 years ago

A company has offices in two different countries. Employee salaries at both locations are strongly skewed

Mathematics

1 answer:

miskamm [114]3 years ago

7 0

Answer: its approximately normal because both sample sizes are at least 30

Step-by-step explanation:

Khan

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What is x. PLEASE HELP NEED ANSWERS NOW. M=

Agata [3.3K]

2(6x+20) +2(8x-16)=180
12x+16x+40-32=180
28x+8=180
X=180-8/28=6
I think so my calculation may be wrong )

4 0

3 years ago

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The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu

rjkz [21]

The balloon has a volume $V$ dependent on its radius $r$ :

$V(r)=\dfrac43\pi r^3$

Differentiating with respect to time $t$ gives

$\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}$

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

$10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}$

The surface area of the balloon is

$S(r)=4\pi r^2$

and differentiating gives

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}$

so that at the moment the radius is 3 m, its area is increasing at a rate of

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}$

4 0

3 years ago

Nick will move a storage bin from its current location to the new location shown on the coordinate plane. Describe how Nick coul

nlexa [21]

Answer:

Move downward by 7 units

Move leftward by 6 units

$(x,y) \to (x -6,y-7)$

Step-by-step explanation:

Given

See attachment for grid

Required

The transformation from the current location to the new location

To do this, we pick two corresponding points on the current location and the new location.

We have:

$A = (3,2)$ -- Current location

$A' = (-6,-5)$ -- New location

First, move A downwards by 7 units.

The rule to this is:

$(x,y) \to (x,y-7)$

So, we have:

$(3,2) \to (3,2-7)$

$(3,2) \to (3,-5)$

Next, move the above points leftward by 6 units.

The rule to this is:

$(x,y) \to (x-6,y)$

So, we have:

$(3,-5) \to (3-6,-5)$

$(3,-5) \to (-3,-5)$

6 0

3 years ago

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique

KIM [24]

Answer:

The dimensions of the garden is 102 feet by 68 feet

Step-by-step explanation:

Here, we want to get the width and length of the garden

The perimeter is represented by the length of the fencing

From the question;

w = 2l/3

The formula for the perimeter is;

P = 2(l + w)

Thus;

340 = 2(l + 2l/3)

170 = (l + 2l/3)

Multiply through by 3

510 = 3l + 2l

5l = 510

l = 102 feet

w = 2/3 * l

w = 2/3 * 102

w = 68 feet

7 0

3 years ago

Simplify the complex rational expression

jasenka [17]

Answer:

$2(x+2)/x+1$

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers