Which equation represents a line that passes through (–2, 4) and has a slope of StartFraction 2 Over 5 EndFraction.? y – 4 = (x

Detailed explanation:

Question 4 provides clear information,

thus resolving Question 4:

1 euro equals $1.17.

Consequently, €20.46 is calculated as 20.46 multiplied by 1.17, which equals $23.93.

1 pound equals $1.28.

Thus, £12.60 translates to 12.60 multiplied by 1.28, yielding $16.128.

Therefore, the MP3 in pounds is $7.81 cheaper in dollars.

Answer:

a. 0.82%

b. 71.11%

c. 0.564 micrometer

Step-by-step explanation:

To find the z value for each measurement, we must calculate and determine the percentage they correspond to, and the difference will give us the percentage between those two statistics.

The equation for z is:

z = (x - m) / (sd)

Here, x is the value being evaluated, m denotes the mean, and sd represents the standard deviation.

a.

For 0.62 copies, we calculate:

z = (0.62 - 0.5) / (0.05)

z = 2.4

This translates to 0.9918.

Therefore, p (x > 0.62) = 1 - 0.9918

p (x > 0.62) =  0.0082 = 0.82%

b.

For 0.47 copies, we have:

z = (0.47 - 0.5) / (0.05)

z = -0.6, which equates to 0.2742.

For 0.63 copies:

z = (0.63 - 0.5) / (0.05)

z = -2.6, which yields 0.9953.

Hence, p (0.47 > x > 0.63) = 0.9953 - 0.2742

p (0.47 > x > 0.63) = 0.7211 = 72.11 %

c.

For x copies, we find:

p = 0.9 corresponds to z = 1.28.

Thus, 1.28 = (x - 0.5) / (0.05)

From which we derive:

x = 1.28*0.05 + 0.5

x = 0.564 micrometer

Answer:

E 240

Step-by-step explanation:

Mean of the geometric distribution = (1- p) / p

16 = (1 - p) / p

16p = 1 - p;  17p = 1; thus, p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280, which is closest to 240

Response:

option D

Step-by-step reasoning:

Provided in the prompt is a right-angled triangle FGH.

Base of triangle = 12

Height of triangle = 5

Hypotenuse of triangle = 13

To solve the question, we'll apply trigonometric identities.

cos(F) = adjacent / hypotenuse

cos(F) = height / hypotenuse

cos(F) = 5 / 13

Thus, the cosine ratio for angle F is 5 / 13

Response:

m(n) = 60000

Amount = 60000/n

Step-by-step breakdown:

Provided

Budget = 60000

Solving part (a) as a function mn

To achieve this, simply substitute m(n) for the budget amount.

This results in;

m(n) = 60000

Solving part (b) for the amount each committee is allocated.

Given that the budget will be evenly split.

Amount = m(n)/n

Replace m(n) with 60000

Amount = 60000/n