PLEASE HELP ME !!

What is the probability of flipping a coin 15 times and getting tails 10 times?

Anna [14]

This is found using the binomial distribution with P(H) = 1/2 and P(T) = 1/2 n = 15 and r = 10

= nCr(0.5)^(15-10)(0.5)^10

= 15C10 * 0.5^15 = 0.0916 or 9.16%

5 0

3 years ago

1. Ada purchased a house using a fixed rate mortgage. The annual interest rate is 6.3%

vlabodo [156]

The monthly payment on the mortgage is option C) $2537.44

<u>Step-by-step explanation</u>:

Principal (P): $ 295,000
Rate (r): 6.3% = 0.063
Number of times compounded (n): 12months $\times$ 15 years = 180
Number of years = 15

The formula is A = P(1 + r/n)^nt

⇒ A = 295000(1+0.063/180)^(180 $\times$ 15)

⇒ A = 295000(180.063/180)^2700

⇒ A = 295000 (1.00035)^2700

⇒ A = 758854.5

Interest = Amount - Principle

⇒ 758854.5 - 295000

⇒ Interest = 463854.5

∴ The monthly payment for 15 years = 463854.5 / (15 $\times$ 12)

The monthly payment on the mortgage = 2576.9 (approximately option C)

8 0

4 years ago

Please answer! I need it for my Math Homework.

Setler [38]

Here are the areas of the 3 separate shapes:

1. 27.5 m^2

2. 25.5 m^2

3. 27.5 m^2

As you can see, the 1st and 3rd shapes share the same total area, so those are the shapes you should select.

6 0

3 years ago

Amy has 1/2 hour to do 3 chores. She plans to spend the same fraction of an hour on each chore. She wants to use the number line

Natali5045456 [20]

Point A would be zero; Point B, the end of the 1/2-hour time interval, would be 1/2 (representing 1/2 hour). Then Amy needs to subdivide the interval A to B into three equal time intervals and to determine the length of each of these subintervals.

I would begin with 1/2 and divide that by 3:

1
--
2
====
3
--
1

Inverting the fraction in the denom. and multiplying, we get

1 1 1
-- * ---- = -----
2 3 6

So Amy will spend 1/6 th of an hour, or 10 minutes, on each chore.

Note that 3 times 1/6 comes out to 1/2 (hour), which is were we started.

5 0

3 years ago

Find parametric equations for the path of a particle that moves along the circle x2 + (y − 3)2 = 16 in the manner described. (en

sveticcg [70]

Answer:

$x(t) = 4 cos(-t)\\y(t) = 4 sin(-t) + 3\\$