Answer:
120,000
Step-by-step explanation:
Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1
5x + 7x + 3x = total = 15x
3x = 24000
divide both sides by 3 to get x
x = 8000
15x = 8000*15 = 120000
6, I think as
Juan Nina
3: 2.5 3: 2
9: 7.5 9: 6
Let's say the dog jumps 100 feet every jump, (Yes, I know that it's illogical, but it makes this problem so much easier.) and that it jumps 1 time every second.
100 · 1 = 100, so Dog goes at 100 feet per second.
Cat jumps 5% shorter, so it is 95 feet per jump. However, it jumps 5% more than dog, so it jumps 1.05 times every second. You multiply.
95 · 1.05 = 99.75. So Cat goes at 99.75 feet per second.
100 > 99.75
Dog is going to win the race.
Option C: np is the expression used for calculating the mean of a binomial distribution.
Explanation:
From the options, we need to determine the expression that is used for calculating the mean of a binomial distribution.
<u>Option A: npq</u>
The variance of the binomial distribution can be calculated using the expression npq.
Hence, Option A is not the correct answer.
<u>Option B: </u>
<u></u>
The standard deviation of the binomial distribution can be calculated using the expression ![\sqrt{npq}](https://tex.z-dn.net/?f=%5Csqrt%7Bnpq%7D)
Hence, Option B is not the correct answer.
<u>Option C: np</u>
The mean of the binomial distribution can be calculated using the expression np
Hence, Option C is the correct answer.
<u>Option D</u>: ![\sum\left[x^{2} \cdot P(x)\right]-\mu^{2}](https://tex.z-dn.net/?f=%5Csum%5Cleft%5Bx%5E%7B2%7D%20%5Ccdot%20P%28x%29%5Cright%5D-%5Cmu%5E%7B2%7D)
The mean of the binomial distribution cannot be determined using the expression ![\sum\left[x^{2} \cdot P(x)\right]-\mu^{2}](https://tex.z-dn.net/?f=%5Csum%5Cleft%5Bx%5E%7B2%7D%20%5Ccdot%20P%28x%29%5Cright%5D-%5Cmu%5E%7B2%7D)
Hence, Option D is not the correct answer.
Answer:
Step-by-step explanation:
The equation of a line
y = mx + c
y - intercept point y
m - slope of the line
x - intercept point x.
c - intercept of the line
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( -7 , -7) ( -7 , 4)
x1 = -7
y1 = -7
x2 = -7
y2 = 4
Insert the values into the equation
m = 4 - (-7) / -7 -(-7)
m = 4 + 7 / -7 + 7
m = 11/ 0
Step 2: sub any of the two points given into the equation
y= mx + c
y = 11/0x + c
(-7 ,4 )
x = -7
y = 4
4 = 11/0(-7) + c
4 = -77/0 +c
-77/0 is math error which means that the points are not correct