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

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

__

(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