The answer is:
Justin weighs 165 pounds.
Greg weighs 180 pounds.
If:
j - Justin's weight
g - Greg's weight
Then the system of equations is:
j + 15 = g ⇒ g = j + 15
1/2g = j - 75 ⇒ j = 1/2g + 75
We can replace j in the first equation:
g = <span>1/2g + 75 + 15
g - 1/2g = 90
1/2g = 90
</span>⇒ g = 90 ÷ 1/2 = 180
<span>
Thus, Greg weighs 180 pounds.
Now, using the first equation, we will calculate Justin's weight:
</span>j + 15 = g ⇒ j = g - 15
g = 180
Thus
<span>j = g - 15 = 180 - 15 = 165
</span>
Therefore, <span>Justin weighs 165 pounds.</span>
Answer:
g = 2
Step-by-step explanation:
5(2-g) = 0
10 - 5g = 0
-5g = -10
g = -10/-5
= <u>2</u>
Answer:
See explanation
Step-by-step explanation:
The average rainfall when you add all 10 years of rainfall up and divide by 10 is an average of 59.946 inches of rain each year. The equation for the data is y = -0.53x + 64.45, this means that the rainfall is getting less each year at a -0.53 inches of rain each year.
x = year (2004 would be 4, etc)
Answer:
C) 53.3%
The probability that a data value is between 206 and 230
P( 206 ≤X≤230) = 0.5328 = 53.3%
Step-by-step explanation:
<u><em>Explanation</em></u>
<em>Given that Mean of the Normal distribution(μ) = 222</em>
Given that the standard deviation of the Normal distribution (σ) = 16
Let 'X' be the random variable in the Normal distribution
<em>we have to find that the probability that a data value is between 206 and 230</em>
<u><em>solution:-</em></u>
<u><em>Step(i):-</em></u>
Let 'X' = 206

Let X = 230

<u><em>Step(ii):-</em></u>
The probability that a data value is between 206 and 230
P( 206 ≤X≤230) = P( -1≤Z≤0.5)
= |A(0.5)+A(-1)|
= 0.1915+0.3413
= 0.5328
<u><em>final answer:-</em></u>
<em>The probability that a data value is between 206 and 230</em>
<em>P( 206 ≤X≤230) = 0.5328 = 53.3%</em>