I Need Help Please And Thank You

Suppose you just purchased a digital music player and have put 12 tracks on it. After listening to them you decide that you like

Vilka [71]

Answer:

a) 9% , not unusual

b) 42.4%

c) 48.4%

d) 11.1% , 44.4% , 44.4%

Step-by-step explanation:

We have the following information from the statement:

n = 12

r = 4

a)

P (likebothofthem) = P (likefirstsong) * P (likesecondsong)

P = 4/12 * 3/11

P = 0.09 = 9%

The probability is not unusual, unusual is considered less than 0.05 or 5%

b)

P (likeneither) = P (notlikefirstsong) * P (notlikesecondsong)

P = 8/12 * 7/11

P = 0.424 = 42.4%

c) P (likeexactlyoneofthem) = P (firstsongliked) * P (secondsongnotliked) + P (firstsongnotliked) * P (secondsongliked)

P = (4/12 * 8/11) + (8/12 * 4/11)

P = 0.484 = 48.4%

d)

a)

P (likebothofthem) = P (likefirstsong) * P (likesecondsong)

P = 4/12 * 4/12

P = 0.111 = 11.1%

The probability is not unusual, unusual is considered less than 0.05 or 5%

b)

P (likeneither) = P (notlikefirstsong) * P (notlikesecondsong)

P = 8/12 * 8/12

P = 0.444 = 44.4%

c) P (likeexactlyoneofthem) = P (firstsongliked) * P (secondsongnotliked) + P (firstsongnotliked) * P (secondsongliked)

P = (4/12 * 8/12) + (8/12 * 4/12)

P = 0.444 = 44.4%

8 0

3 years ago

You are opening a savings account with $500 that you have saved. The bank offers 3.2% interest, compounded yearly. How much mone

Nuetrik [128]

Answer:

You will have $623.3441462 in your account after 7 years

Step-by-step explanation:

The formula of the compounded interest is A = P $(1+\frac{r}{n})^{nt}$ , where

A is the new value

P is the initial value

r is the rate in decimal

n is the number of periods

t is the time in years

∵ You are opening a savings account with $500

∴ P = 500

∵ The bank offers 3.2% interest, compounded yearly

∴ r = 3.2% ⇒ divide it by 100 to change it to decimal

∴ r = 3.2 ÷ 100 = 0.032

∵ The interest is compounded yearly

∴ n = 1

∵ The time is 7 years

∴ t = 7

→ Substitute these values in the rule above to find A

∵ A = 500 $(1+\frac{0.032}{1})^{1(7)}$

∴ A = 500 $(1.032)^{7}$

∴ A = 623.3441462

∴ You will have $623.3441462 in your account after 7 years

8 0

3 years ago

In golf, shooting par is scored as a 0. A score of 2 below par on a hole in golf is called an eagle. Jacob’s friend Michelle sco

Lyrx [107]

Answer:

With integer tiles, you would add 5 groups of negative 2 tiles or remove 2 groups of 5 positive tiles. On the number line, you would bounce by 5 to the left 2 times.

Step-by-step explanation

i had the question on Edge

5 0

2 years ago

Read 2 more answers

There 400 members at the school band. Of those, 220 were girls. Expressed as a percentage, how many more girls than boys were th

GuDViN [60]

220/400 = 55%
100%- 55% = 45%
there were 45% more girls than there were boys.

3 0

3 years ago

Which of the following points is on a circle if its center is (-13,-12) and a point on the circumference is (-17, -12)?

tia_tia [17]

Answer:

D

Step-by-step explanation:

Obtain the equation of the circle in standard form

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 13, - 12), thus

(x + 13)² + (y + 12)² = r²

The radius is the distance from the centre (- 13, - 12) to the point on the circumference (- 17, - 12)

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 17, - 12) and (x₂, y₂ ) = (- 13, -12)

r = $\sqrt{(-13+17)^2+(-12+12)^2}$ = $\sqrt{16}$ = 4

Hence

(x + 13)² + (y + 12)² = 16 ← in standard form

Substitute the coordinates of each point into the left side of the equation and check

A (- 17, - 13) : (- 4)² + (- 1)² = 16 + 1 = 17 ≠ 16

B (- 9, - 17) : 4² + (- 5)² = 16 + 25 = 41 ≠ 16

C (- 12, 13) : 1² + 25² ≠ 16

D (- 9, - 12) : 4² + 0² = 16

Since (- 9, - 12) satisfies the equation, it is on the circle → D

4 0

3 years ago