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Dennis_Churaev [7]
3 years ago
6

Write the following probability as a percentage 3/5

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0
Hi there,

The percentage of 3/5 would be %60

3/5
3x20=60
5x20=100


Now you have 60/100, turn that into a percentage and you have %60.
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Find the value of the six trig functions given the triangle below.
Y_Kistochka [10]

\text{Here,}\\\\\text{Opposite side,}~ O = 2\\\\\text{Hypotenuse,}~ H   = \sqrt 5 \\\\\text{Adjacent side,}~ A = \sqrt{5-4} = \sqrt 1  =1  ~~ ;[\text{By using Pythagorean theorem}]\\\\\\\sin \theta = \dfrac{O}H = \dfrac 2{\sqrt 5}\\\\\\\cos \theta = \dfrac{A}{H} = \dfrac{1}{\sqrt 5} \\ \\\\ \tan \theta = \dfrac{O}{A} = \dfrac 21 = 2

csc \theta = \dfrac{1}{\sin \theta} = \dfrac{\sqrt 5}2\\\\\\\sec \theta = \dfrac{1}{\cos \theta} = \sqrt 5  \\\\\\\cot \theta = \dfrac 1{\tan \theta} = \dfrac 12

5 0
2 years ago
Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and
nekit [7.7K]

Answer:

r = \$14.71

Step-by-step explanation:

Given

Normal Hour = 32 hours

Overtime = Hours above 32

Rate for Overtime = 1.4 times normal rate

Earnings = $535.62

Required

Determine the normal hour pay

First, we need to determine the hours worked overtime.

This is:

Overtime = 43 - 32

Overtime = 11

The equation that binds all the parameters is:

Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate

This gives:

535.62 = 21 * r + 11 * 1.4r

535.62 = 21r + 15.4r

535.62 = 36.4r

Solve for r

r = 535.62/36.4

r = \$14.71

4 0
3 years ago
A mystery number is multiplied by 11 then 10 is subtracted from it to give you a result of 34. What is the mystery number?
klemol [59]

Answer:

4

Step-by-step explanation:

And let the missing number be x

We can solve using Algebra

11x - 10 = 34

11x = 34 + 10

11x = 44

x = 44/11

x = 4

For verification:

4(11) - 10 = 34

44 - 10 = 34

34 = 34

Hence, Proved

3 0
2 years ago
10m^2 of tiles cover a pool, the pool is shaped as a square, so all four edges are the same, and the depth is constant but not e
nignag [31]
Assume:

Size of sides = x m
Depth of the pool = y m

Therefore, surface area = x^2+4xy =10 m^2

Then, y = (10-x^2)/(4x)

Now,
Volume (V) = x^2*y = x^2*y =x^2(10-x^2)/4x = (10x-x^3)/4 = 1/4(10x-x^3)
For maximum volume, first derivative of volume function is equal to zero.
That is,
dV/dx =0 = 1/4(10-3x^2)
Then,
1/4(10-3x^2) = 0
10-3x^2 = 0
3x^2=10
x= sqrt (10/3) = 1.826 m
And
y= (10-1.826^2)/(4*1.826) = 0.913 m

Therefore,
V= 1.826^2*0.913 = 3.044 m^3
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3 years ago
Thirty work orders are selected from a filing cabinet containing 500 work order folders by choosing every 15th folder. which sam
Andru [333]
It is Systematic sampling
5 0
3 years ago
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