The <em>correct answer</em> is:
12 bouquets, each having 6 red roses, 5 pink roses, and 4 yellow roses.
Explanation:
To find the number of bouquets we can make, we find the GCF (greatest common factor) of the three numbers, 72, 60 and 48. To do this, we find the prime factorization of each:
We look for factors that all 3 numbers have in common. These factors are 2, 2 and 3; 2(2)(3)=12, so we can make 12 bouquets.
72/12 = 6; this means we use 6 red roses in each bouquet.
60/12 = 5; this means we use 5 pink roses in each bouquet.
48/12 = 4; this means we use 4 yellow roses in each bouquet.
Answer:
Option (C).
Step-by-step explanation:
Graphed function is,
f(x) = x² - 2x - 3
= x² - 2x + 1 - 1 - 3
= (x² - 2x + 1) - 4
= (x - 1)² - 4
f(-2x) = (-2x)² - 2(-2x) - 3
= 4x² + 4x - 3
= 4(x² + x) - 3
= 4[x² + 2(0.5)x + (0.5)²- (0.5)²] -3
= 4(x + 0.5)² - 1 - 3
= 4(x + 0.5)² - 4
= 4[(x - 1) + 1.5]² - 4
Therefore, parent function 'f' will be a horizontal shrink by 4 units and shifted 1.5 units to the left.
Option (C) will be the answer.
Answer:
The major condition that needs to be satisfied before a t-test is performed that the question satisfies easily is the use of random sampling to obtain sample data.
Step-by-step explanation:
The major conditions necessary to conduct a t-test about a mean include;
- The sample extracted from the population must be extracted using random sampling. That is, the sample must be a random sample of the population.
- The sampling distribution must be normal or approximately normal. This is achievable when the population distribution is normal or approximately normal.
- Each observation in the sample data must have an independent outcome. That is, the outcome/result of each sub-data mustn't depend on one another.
Of the three conditions that need to be satisfied before the conduction of a t-test, the first condition about using a random sampling technique is evidently satisfied.
It is stated in the question that 'A private investigator hired by a competitor takes a random sample of 47 games and tries to determine if there are more than 7 glitches per game'.
Hope this Helps!!!
Answer:
Volume of Cone =
Thus, Volume = 16.75 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula
Where r is the radius and
h is the height
Given radius r = 2 and
height is 2 times that.
So height is 2*2 = 4
Plugging these into the formula we get:
Volume of Cone =
Thus, Volume = 16.75 cubic feet
