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erma4kov [3.2K]
3 years ago
6

K(a)= 4a-4, Find k(-9)

Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0

We simply replace a with -9

k(-9) = 4 * -9 - 4

k(-9) = -40

:)

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A recent article in the paper claims that business ethics are at an​ all-time low. Reporting on a recent​ sample, the paper clai
Savatey [412]

Answer:

P=0.3726 or 37.26%

Step-by-step explanation:

The success, with 41% of probability of occurring, is that the employee believes the ​ company's president possesses low ethical standards. For more than 8 and less than 12 successes, it means the probability of having  9, 10 or  11 successes (all these summed).

The formula is:

b(x;n,p)= \ _nC_x*p^x*(1-p)^{n-x}

Where x is the number of successes,n the number of trials, p the probability of success,_nC_x refers to the combinations that can occur,  and it's formula is:

_nC_x=\frac{n!}{x!(n-x)!}

Calculating each case:

b(9,20,0.41)=\frac{20!}{9!(20-9)!}*0.41^9*(1-0.41)^{20-9}=0.1658

b(10,20,0.41)=\frac{20!}{10!(20-10)!}*0.41^{10}*(1-0.41)^{20-10}=0.1267

b(11,20,0.41)=\frac{20!}{11!(20-11)!}*0.41^{11}*(1-0.41)^{20-11}=0.0801

Adding each case:

P=0.1658+0.1267+0.0801= 0.3726

5 0
2 years ago
An athlete was having her blood pressure monitored during a workout. The doctor found that the periodic function, P= 20 sin (8pi
lesya692 [45]

Answer:

(a) 110 mm Hg

(b) 70 mm Hg

(c) 3/4 second

(d) see the attachment

Step-by-step explanation:

(a) The sine function has a maximum value of +1, so the maximum value of p is ...

pmax = 20·(+1) +90 = 20+90 = 110 . . . . . mm Hg

__

(b) The sine function has a minimum value of -1, so the minimum value of p is ...

pmin = 20·(-1) +90 = -20+90 = 70 . . . . . mm Hg

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(c) The period of the sine function is 2π, so the value of t that makes the argument be 2π will be the period.

8π/3·t = 2π

t = 2π·3/(8π) = 3/4 . . . . . . multiply by the inverse of the coefficient of t

The period of her heartbeat cycle is 3/4 seconds.

__

(d) a graph is attached.

4 0
3 years ago
0.4.x -0.1=0.7 -0.3(6-2x)
cupoosta [38]

Answer:

x=5

Step-by-step explanation:

4 0
3 years ago
2(x+3)^2=49<br> A. 1.95 and 7.95<br> B. -1.95 and -7.95<br> C.1.95 and -7.95<br> D.4 and -10
Deffense [45]

2(x + 3)2 = 49
A 1.95 and 7.95
4 0
2 years ago
Which equation should be used to find the volume of the figure?
DaniilM [7]

Answer:

Given that

                                                                 1

John can run 100 meters dash in 16    --------- seconds .

                                                                  5

Savanna 's time is 19.8 seconds .

Here we have John time in mixed fraction and Savanna's time in decimal .

Converting mixed fraction into improper .

     1                      16 * 5     +  1                 80 + 1                 81

16  --------    =     ---------------------------    =   -------------- =   - -----------

    5                           5                                  5                      5

Thus we got John time as 81 /5 seconds .

Converting Savanna's time in fraction , we get

 19 8

----------  seconds .

  10  

We have two fractions with different denominator .

One is having denominator 5 and another is having denominator 10 .

We need to make the denominator same of both the fraction .

We need to make denominator 10 .

Multiply John fraction by 2 in both numerator and denominator by 2 to make denominator 10 .

81 * 2               162

----------  =      ------------ seconds .

5 *  2                   10

John is taking less time than Savanna . Thus John is faster .

Difference

198          162            36

-------  -     -------     =  ------- seconds  

10              10              10

Thus John is faster by  (36/10 ) seconds  =  3.6 seconds.

Step-by-step explanation:

Given that

                                                                 1

John can run 100 meters dash in 16    --------- seconds .

                                                                  5

Savanna 's time is 19.8 seconds .

Here we have John time in mixed fraction and Savanna's time in decimal .

Converting mixed fraction into improper .

     1                      16 * 5     +  1                 80 + 1                 81

16  --------    =     ---------------------------    =   -------------- =   - -----------

    5                           5                                  5                      5

Thus we got John time as 81 /5 seconds .

Converting Savanna's time in fraction , we get

 19 8

----------  seconds .

  10  

We have two fractions with different denominator .

One is having denominator 5 and another is having denominator 10 .

We need to make the denominator same of both the fraction .

We need to make denominator 10 .

Multiply John fraction by 2 in both numerator and denominator by 2 to make denominator 10 .

81 * 2               162

----------  =      ------------ seconds .

5 *  2                   10

John is taking less time than Savanna . Thus John is faster .

Difference

198          162            36

-------  -     -------     =  ------- seconds  

10              10              10

Thus John is faster by  (36/10 ) seconds  =  3.6 seconds.

4 0
2 years ago
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