Answer:
x = 10
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• log
⇔ n log x
• log x = log y ⇒ x = y
Given
ln20 + ln5 = 2 lnx , then
ln(20 × 5) = ln
ln 100 = ln, hence
x² = 100 ( take the square root of both sides )
x = 10
Answer:
6.4 inches
Step-by-step explanation:
We are going to have to use ratio's here. We know that 1 inch = 2.5 feet and we know that Terrance is making a scale model of a car that is 16 feet long. We need to work out the length of the car in inches so,
1 inches = 2.5 feet
? inches = 16 feet
→ We are going to divide 16 by 2.5 and then multiply that answer by 1 to get our result so
16 ÷ 2.5 = 6.4
6.4 × 1 = 6.4
The final answer is 6.4 inches
Step-by-step explanation:
a. The mean can be found using the AVERAGE() function.
x = 272.7
b. The standard deviation can be found with the STDEV() function.
s = 39.9
c. The t-score can be found with the T.INV.2T() function. The confidence level is 0.04, and the degrees of freedom is 26.
t = 2.162
d. Find the lower and upper ends of the confidence interval.
Lower = 272.7 − 2.162 × 39.9 = 186.5
Upper = 272.7 + 2.162 × 39.9 = 358.9
1/x + 1/y = 8
x + y = 8
6/x + 12/y = 72n
Answer:
(9,48)
Step-by-step explanation:
The x's are being added by 2, while the y's are being multiplied by 2.
