Answer:
Step-by-step explanation:
<u>Use ratios:</u>
- 30/20 = (x + 5)/(36 - 20)
- 3/2 = (x + 5)/16
- 2(x + 5) = 3(16)
- 2x + 10 = 48
- 2x = 38
- x = 19
Answer:
See below
Step-by-step explanation:
A 90% confidence interval is centered at a parameter and is 90% sure to contain the statistic.
When you are running a statistical test, you can create a confidence interval centered at the appropriate parameter (such as the mean) to see if the statistic stated in your null hypothesis is true if it's contained in the interval. Whatever the confidence level is determines how wide the interval will be, and as such, will determine how likely the interval will catch the statistic in question.
Consider the arithmetic series 
Let t=1 in the given series, we get
first term = 
= 3-4 = -1.
Let t=2 in the given series, we get
second term = 
= 
Let t=3 in the given series, we get
third term = 
Now, let t=18 in the given series, we get
last term = l = 
We get the series as
-1, 2, 5,..... 50
Sum = 
= 
= 
= 441
Therefore, the sum of the given arithmetic series is 441.
Question 1)
Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is
y = 100 + 10x
Question 2)
`Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is
y = 12.5x
Question 3)
Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is
y = 10x
Answer:
y = -3x + 6
Step-by-step explanation:
Two lines that are parallel will have the same slope. All we need to do is find the new y-intercept.
-3 = -3(3) + b
-3 = -9 + b
6 = b
Now we can input the stuff we know and solved for back into the original formula [ y = mx + b ].
y = -3x + 6
Best of Luck!
