3 ice cream cones cost $8.25. At this rate , how much do 2 ice cream cones cost?

. A hat contains 100 coins, where 99 are fair but one is double-headed (always landing Heads). A coin is chosen uniformly at ran

SOVA2 [1]

Answer:0.565

Step-by-step explanation:

Hat contain 100 coins out of which 99 is fair and one is double headed.

Probability of getting 7 heads is sum of Head through fair coin+heads through biased coin

Probability of getting a head through a fair coin=0.5

$P(7 heads)=0.99\times 0.5^7+0.01\times 1$

$P(Double head |7 heads )=\frac{Probability\ of\ 7\ heads\ and\ double\ headed}{probability\ of\ 7\ heads}$

$P(Double head |7 heads )=\frac{0.01\times 1}{0.99\times 0.5^7+0.01\times 1}$

$=\frac{0.01}{0.99\times 0.0078+0.01}=0.565$

8 0

3 years ago

If you put 3 cookies is the answer? of 1/2

lapo4ka [179]

What ? Don't make since bro

5 0

2 years ago

Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body

PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

(c) The amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720$

(a)

Compute the 5-hour decay factor as follows:

$5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042$

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720$

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)ⁿ

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

$A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112$

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

4 0

3 years ago

The complement of an angle is $5^{\circ}$ more than four times the angle. what is the number of degrees in the measure of the an

Anna11 [10]

Answer:

17°

Step-by-step explanation:

Let x represent the measure of the angle.

(90 -x) = 5 + 4x . . . . the complement is 5° more than 4 times the angle

85 = 5x . . . . . . . . . . add x-5 to both sides

17 = x . . . . . . . . . . . . divide by 5

The measure of the angle is 17°.

3 0

3 years ago

Read 2 more answers

Find the height of the trapezoid. 7 m Area = 51 m2 10 m

andrew11 [14]

The answer is 6

h = 2 A/a+b = 2 51/10+7 = 6

3 0

2 years ago