30 22
20 18
(im sorry in advance if you get it wrong, but im sure you'll get it right)
Answer:
Step-by-step explanation:
Given that x is a random variable from a binomial distribution with n = 40 and p = 0.9.
We find that mean = np= 36 and variance = npq = 3.6
Std dev = square root of variance = 1.897
When we approximate binomial to normal we say
X' is Normal with mean = 36 and std dev = 1.897
X' is N(36, 1.897)
Note:
The condition for binomial approximating to normal is p should be close to 1/2
Here p is 0.9 and also nq=4 is very small.
So normal approximation may not give accurate results.
Answer:
Step-by-step explanation:
<u>We know that:</u>
- Samantha = 15 + 2x
- Matt = 3 + 4x
- Samantha = Matt
- [x = Number of hours]
<u>Solution:</u>
- 15 + 2x = 3 + 4x
- => 15 - 3 = -2x + 4x
- => 12 = 2x
- => x = 6
Hence, after 6 hours of work, Samantha and Matt will have the same amount.
The answer is 600.
Step 1. 20 times x is 120
Step 2. Solve. 6
Step 3. Percent is always in the hundredth place. 6 times 100
Step. 4 Solve for 600.
Answer:
2y + ( x- 20)= 500
y= 520-x/2
Step-by-step explanation:
Let the weight of George be x and the weight of the suspect be y .
The swing can hold a maximum of 500 pounds .
Twice the weight of suspect added with 20 pounds less than the weight of George equals 500.
2y + ( x- 20)= 500
or
2y+x- 20 = 500
adding 20 to both sides
2y+x -20 +20= 500+ 20
or
2y +x = 520
Subtracting x from both sides
2y+ x-x = 520-x
or
2y = 520-x
Dividing by 2 on both sides
y= 520-x/2
The suspect's weight is y= 520-x/2
