Water boils at different temperatures at different elevations. The boiling temperature of water is 212 degrees * F sea level (0 feet ) but drops about 1.72 degrees * F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190 degrees F.
Answers
Answer:
The elevation when the boiling point of water is °
is 12790.70 feet
Step-by-step explanation:
Let every 1,000 feet of elevation be . Hence, we can write
Where is the boiling temperature of water at different elevations
Now, to the determine the elevation when the boiling point of water is °
.
We will determine by putting
°
.
Hence,
Since represents every 1,000 feet of elevation, then the elevation when the boiling point of water is
°
×
feet
Hence, the elevation when the boiling point of water is °
is 12790.70 feet
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Myra almost always spends at least 45 minutes on the treadmill. If Myra got on the treadmill at 5:20 P.M., estimate the probability that she will still be on the treadmill at 6:00
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y <= means a solid line
y< means colored below the line
Choice D
Answers
Hello from MrBillDoesMath!
Answer: 6 * p^(3/2) * q^4
Discussion:
We are evaluating
sqrt { 36 * p^3 q^8 }
where "sqrt" indicates the square root and the ^ (as in q^8) means "raised to the power of:
The square root of the product is the product of the square roots. (Say that 5 time out loud quickly!). So the above equation becomes
sqrt { 36 * p^3 q^8 } =
sqrt( 36) * sqrt( p^3) * sqrt (q^8)
The square root of 36 is 6 as 6* 6 = 36 so the equation equals
6 * p ^ (3/2) * q^ (8/2)
Note that the square root of a number, for example, r, is the same as raising the number to the (1/2) power. That's where the (1/2) terms came from above.
But 8/2 = 4 so the equation simplifies to
6 * p^(3/2) * q^4
Thank you,
MrB
Answers
I apologize for the oversight. Let's solve it and provide the answer.
Step-by-step explanation :
1. **Standard Error Calculation :
\[ SE = \frac{\sigma}{\sqrt{n}} \]
\[ SE = \frac{25.3}{\sqrt{215}} \]
\[ SE \approx 1.7292 \]
2. **Z-Score Calculation:**
\[ z = \frac{X - \mu}{SE} \]
\[ z = \frac{197.2 - 195.5}{1.7292} \]
\[ z \approx 0.9836 \]
3. Finding the Probability :
To find the probability that the sample mean is greater than 197.2, we need to find the area to the right of the z-score in the standard normal distribution table.
For \( z \approx 0.9836 \), the area to the left is approximately \( 0.8374 \).
Since we want the area to the right (the probability the sample mean is greater than 197.2), we need to subtract that value from 1 :
\[ P(X > 197.2) = 1 - 0.8374 \]
\[ P(X > 197.2) = 0.1626 \]
Answer : The probability that the sample mean is greater than 197.2 is approximately \( 0.1626 \) or \( 16.26\% \).
Answers
b. The slope of the line is 15.
c. The slope of the line is -10.
d. The slope of the line is -15
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Answer:
a.the slope of the line is 1.5
Step-by-step explanation:
Hello
if two points of a line are known(P1 and P2), it is possible to find the slope of the line, the slope of a line is given by:
Step 1
define
Step 2
put the values into the equation
the slope=1.5
I hope it helps, have a great day
Answers
Answer:
A prime numbers are numbers which have only two factor