Answer:
The probability is 1/28,561
Step-by-step explanation:
Here, we want to find the probability that each of the players will receive exactly one ace.
In a deck of cards, we have 4 suites of 13 cards each, with each of the suites consisting of 1 ace.
So, the probability of getting an ace for each of the four players will be 4/52 = 1/13
Now, the probability of each of the players getting exactly one ace will be; first got one ace , second got one , third got one and fourth got one.
mathematically, this probability will be 1/13 * 1/13 * 1/13 * 1/13 = (1/13)^4 = 1/28,561
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)
<u>1) Determine the slope (m)</u>
y=x-9
Rewrite the equation
y=1x-9
Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into
:

<u />
<u>2) Determine the y-intercept (b)</u>

Plug in the given point (7,9) and solve for b

Add 7 to both sides to isolate b

Therefore, the y-intercept is 16. Plug this back into
:

I hope this helps!
Answer:
it is 3,100
Step-by-step explanation:
bc you cant round up 0 so your answer is 3.100
Answer:
$1,061.76
Step-by-step explanation:
(refer to attached handout)
For compound interest, you are given:
A = ? (need to find)
P = $1000
r = 3% = 0.03
n = compounded monthly = 12 times per year
t = 2 years
(substituting this into the formula)
A = P [ 1 + (r/n) ] ^(nt)
A = 1000 [ 1 + (0.03/12) ] ^[(12)(2)]
A = 1000 [ 1 + 0.0025 ] ^24
A = 1000 [ 1.0025 ] ^24
A = 1,061.76
(15.9-24)/3.7 ≈ -2.19
The given x-value is about 2.2 standard deviations below the mean, as shown in the attached.