Step 1. Convert 3 1/4 to an improper fraction.
3 * 4 + 1/4 - 1 5/8
Step 2. Simplify 3 * 4 to 12
12 + 1/4 - 1 5/8
Step 3. Simplify 12 + 1 to 13
13/4 - 1 5/8
Step 4. Convert 1 5/8 to an improper fraction.
13/4 - 1 * 8 + 5/8
Step 5. Simplify 1 * 8 to 8
13/4 - 8 + 5/8
Step 6. Simplify 8 + 5 to 13
13/4 - 13/8
Step 7. Find the Least Common Denominator (LCD) of 13/4, 13/8
LCD = 8
Step 8. Make the denominators the same as the LCD
13 * 2/ 4 * 2 - 13/8
Step 9. Simplify. Denominators are now the same
26/8 - 13/8
Step 10. Join the denominators
26 - 13/8
Step 11. Simplify
13/8
Step 12. Convert to a mixed fraction
1 5/8
Please include the graphs!!!!!
In this question, you're solving for d.
Solve for d:
5(-6 - 3d) = 3(8+7d)
Use the distributive property:
-30 - 15d = 3(8+7d)
-30 - 15d = 24 + 21d
Add 30 to both sides:
-15d = 54 + 21d
Subtract 21d from both sides
-36d = 54
Divide both sides by -36
d = -3/2
Answer:
d = -3/2 or -1.5
<h2>
Answer with explanation:</h2>
Confidence interval for mean, when population standard deviation is unknown:

, where
= sample mean
n= sample size
s= sample standard deviation
= Critical t-value for n-1 degrees of freedom
We assume the population has a normal distribution.
Given, n= 19 , s= 3.8 , 

A) Critical t value for
and degree of 18 freedom
= 2.8784
B) Required confidence interval:

Lower bound = 19.9 years
Uppen bound = 24.9 years
C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .
Answer:
Step-by-step explanation:
Rate of change of Temperature with height can be given by:

