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LuckyWell [14K]
2 years ago
10

Help! please i cant figure it out.

Mathematics
1 answer:
ki77a [65]2 years ago
7 0

let's recall that the graph of a function passes the "vertical line test", however, that's not guarantee that its inverse will also be a function.

A function that has an inverse expression that is also a function, must be a one-to-one function, and thus it must not only pass the vertical line test, but also the horizontal line test.

Check the picture below, the left-side shows the function looping through up and down, it passes the vertical line test, in green, but it doesn't pass the horizontal line test.

now, check the picture on the right-side, if we just restrict its domain to be squeezed to only between [0 , π], it passes the horizontal line test, and thus with that constraint in place, it's a one-to-one function and thus its inverse is also a function, with that constraint in place, or namely with that constraint, cos(x) and cos⁻¹(x) are both functions.

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In how many ways can five basketball players be placed in three positions?
Georgia [21]

Answer:

10 ways

Step-by-step explanation:

The number of ways in which five basketball players could be placed in three positions is:

5C_{3} = \frac{5!}{(5-3)!3!}

      = \frac{5!}{3!2!}

      = \frac{5*4*3*2!}{3*2*2!}

      = 5 × 2

     = 10

The basketball players can be arranged in 10 ways.

4 0
3 years ago
Four percent of the welds on an automobile assembly line are defective. The defective welds are found using an X-ray machine. Th
Helga [31]

Answer:

a ) See Annex

b) P₁  =  0,0464       or    P₁  =  4,64 %

c) P₄  = 0,92   or   P₄  = 92 %

Step-by-step explanation:

b) P₁ [ X being defective ]  =  P₂   +   P₃

Where P₂  is the probability of X rays machine detects a weld defective and the weld is really defective

And  P₃  is the probability of X rays machine detects a weld defective and the weld is not defective

Then

P₂  =  0,04 *  0,92  =  0,0368

P₃  =  0,96 * 0,01  = 0,0096

Then  P₁  =  0,0368  +  0,0096

P₁  =  0,0464       or    P₁  =  4,64 %

c) P₄ = 0,04 *0,92

P₄  = 0,92   or   P₄  = 92 %

7 0
3 years ago
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N76 [4]
Its eeither transposing or trabsposition
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Ksivusya [100]

Answer:

Step-by-step explanation:

Sin2x=0,291​

  1. Sin2x = 2Sinx * Cosx
5 0
3 years ago
6 people shared 4 subs equally how much each get
telo118 [61]

Answer:

2/3

Step-by-step explanation:

4 subs 6 people

4/6= 0.66 repeated

so each person got 2/3 sub

3 0
3 years ago
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