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4 years ago

there are 122 males and 78 females working at the hospital. What percentage of the hospitals workforces is female?

Mathematics

2 answers:

REY [17]4 years ago

4 0

122+78=200
female percentage=78/200*100
female percentage=78/2
=39%

Diano4ka-milaya [45]4 years ago

3 0

122+78= 200 total
therefore 78/200 * 100= 69%

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20.57 is 42.5% of ______.

Vaselesa [24]

Percent is parts out o 100
42.5%=42.5/100=0.425

'of' means multiply

20.57 is 42.5% of ? means
20.57=0.425 times ?
divide both sides by 0.245
48.4=?

20.57 is 42.5% of <u>48.4</u>

7 0

3 years ago

Consider the following. f(x, y, z) = x2yz − xyz8, P(6, −1, 1), u = 0, 4 5 , − 3 5 (a) Find the gradient of f. ∇f(x, y, z) = (b)

Darina [25.2K]

Answer:

a) ∇f(x, y, z) = (2xyz − yz⁸, x²z − xz⁸, x²y − 8xyz⁷)

b) ∇f(6, −1, 1) = (-11, 30, 12)

c) Duf(6, −1, 1) = 84/5

Step-by-step explanation:

Given

f(x, y, z) = x²yz − xyz⁸

P(6, −1, 1)

u = (0, 4/5, − 3/5)

a) ∇f(x, y, z) = ?

We apply

fx(x, y, z) = 2xyz − yz⁸

fy(x, y, z) = x²z − xz⁸

fz(x, y, z) = x²y − 8xyz⁷

then

∇f(x, y, z) = (2xyz − yz⁸, x²z − xz⁸, x²y − 8xyz⁷)

b) ∇f(6, −1, 1) = (2*6*(-1)*1 − (-1)(1)⁸, (6)²(1) − (6)(1)⁸, (6)²(-1) − 8(6)(-1)(1)⁷)

⇒ ∇f(6, −1, 1) = (-11, 30, 12)

c) Duf(6, −1, 1) = ∇f(6, −1, 1)*(0, 4/5, − 3/5) = (-11, 30, 12)*(0, 4/5, − 3/5)

⇒ Duf(6, −1, 1) = 0 + 24 - 36/5 = 84/5

5 0

3 years ago

The top and bottom ends of a windshield wiper blade are R = 24 in. and r = 14 in., respectively, from the pivot point. While in

Orlov [11]

Answer:

Area swept by the blade = 448 $in^{2}$

Step-by-step explanation:

The arc the wiper wipes is for 135 degrees angle.

So, find area of sector with radius 24 inches. And the find area of arc with r=14 inches.

Then subtract the area of sector with 14 inches from area of sector with radius as 24 inches.

So, area of sector with r=24 in = $\frac{135}{360} *\pi *24^{2}$

Simplify it,

=216 $\pi$

Now, let's find area of sector with radius 14 inches

Area of sector with r=14 in = $\frac{135}{360} *\pi *14^{2}$

Simplify it

=73.5 $\pi$

So, area swept by the blade = 216 $\pi$ -73.5 $\pi$

Simplify it and use pi as 3.14.....

Area of swept =678.584 - 230.907

=447.6769

Round to nearest whole number

So, area swept by the blade = 448 $in^{2}$

3 0

3 years ago

What is the perimeter of the triangle shown on the coordinate plane,to the nearest tenth of a unit ?

ollegr [7]

Answer:

25.6 units

Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

$d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}$

where

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

- For AB:

$d=\sqrt{[1-(-5)]^{2}+(4-4)^2}$

$d=\sqrt{(1+5)^{2}+(0)^2}$

$d=\sqrt{(6)^{2}}$

$d=6$

- For BC:

$d=\sqrt{(3-1)^{2} +(-4-4)^{2}}$

$d=\sqrt{(2)^{2} +(-8)^{2}}$

$d=\sqrt{4+64}$

$d=\sqrt{68}$

$d=8.24$

- For AC:

$d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}$

$d=\sqrt{(3+5)^{2} +(-8)^{2}}$

$d=\sqrt{(8)^{2} +64}$

$d=\sqrt{64+64}$

$d=\sqrt{128}$

$d=11.31$

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

$p=AB+BC+AC$

$p=6+8.24+11.31$

$p=25.55$

$p=25.6$

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

6 0

4 years ago

I need help is due in 15 minute he’ll pls

aleksley [76]

Answer:

3x - 2 = 4(2x-8)

3x- 2 = 8x- 32

3x-8x = -32+2

-5x = -30

x = -30/-5

x = 6

7 0

4 years ago