Answer: 12
Step-by-step explanation:
Given: A florist has 60 tulips and 72 daffodils.
He wants to make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers.
Then, the greatest number of bouquets the florist can make = GCD (60,72)
where GCD = Greatest Common Divisor
Prime factorization of 60 and 72 :
60 = 2 x 2 x 3 x 5
72 = 2 x 2 x 2 x 3 x 3
GCD(60,72) = 2 x 2 x 3 = 12
Hence, the greatest number of bouquets the florist can make = 12
Answer: (29.4, 32.6)
Step-by-step explanation:
From the question, we know that
Sample size (n) = 27
Sample mean (x) = $31
Sample standard deviation (s) = $3
We are to construct a 99% confidence interval interval for average amount spent on gift.
The formulae for constructing a 99% confidence interval for population mean is given as
u = x + tα/2 × s/√n...... For upper limit
u = x - tα/2 × s/√n...... For lower limit
tα/2 is the critical value for a 2 tailed test. This value of gotten from a t distribution table by checking the degree of freedom ( 27 - 1 = 26) against the level of significance ( 100% - 99% = 1%).
Hence tα/2 = 2.779
Let us substitute our parameters and solve
For lower limit
u = 31 - 2.779 × 3/√27
u = 31 - 2.779 ( 0.5773)
u = 31 - 1.6045
u = 29.4
For upper limit
u = 31 + 2.779 × 3/√27
u = 31 + 2.779 ( 0.5773)
u = 31 + 1.6045
u = 32.6
Hence the 99% confidence interval for population mean is given as 29.4, 32.6
Answer:
Step-by-step explanation:
5 units
Distribute -
(Multiplying by 0.5 is same as divide by 2)
10x-25x+18 - 25x -10y + 3
The answer is C