Answer:
45¹³/₁₀₀
Step-by-step explanation:
The average number of hourly visitors to an art exhibit is 45.13.
We are required to write the average number of hourly visitors as a mixed number.
45.13=45+0.13
0.13=13/100 in its simplest form.
Therefore:
45.13=45+13/100
Writing this as a mixed number, we have:
45.13= 45¹³/₁₀₀
Therefore the average number of hourly visitor is given by 45¹³/₁₀₀
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
(2x5+3)8=104
2x5=10
10+3=13
13x8=104
Hope that makes sense! :)
<u>Answer</u>: No, we do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.
Step-by-step explanation:
As per given , we have
, since is two-tailed so , the test is a two tail test.
Since population standard deviation is unknown, so we use t-test.
Critical value (two-tailed) for significance level of 0.01=
For n =50 , and s= 4.8
Test statistic :
Since test statistic value (-1.18) lies in critical interval (-2.609228, 2.609228), it means the null hypothesis is failed to reject.
We do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.
The amount that the man have in his bank at the second year is $100,352.
Using this formula
A=P(1+R÷100)^n
Where:
A=Amount
P=Principal=$80,000
R=Rate=12%
n=Number of years=2 years
Let plug in the formula
A=$80,000(1+12÷100)^2
A=$80,000(1+0.12)^2
A=$80,000(1.12)^2
A=$80,000(1.2544)
A=$100,352
Inconclusion the amount that the man have in his bank at the second year is $100,352.
Learn more here:
brainly.com/question/25213872