Answer:
16 cm^2
Step-by-step explanation:
Given
-- Bigger Triangle
-- Smaller Triangle
--- Scale factor
Area of CBD = 9
Required
Determine the area of CAE
The area of triangle CBD is:
The area of CAE is:
Where:
and
The above values is the dimension of the larger triangle (after dilation).
So, we have:
Re-order
Recall that:
Hence, the area is 16 cm^2
Yes, the sampling distribution is normally distributed because the population is normally distributed.
A sampling distribution is a chance distribution of a statistic obtained from a larger variety of samples drawn from a specific populace. The sampling distribution of a given population is the distribution of frequencies of a variety of various outcomes that would probable occur for a statistic of a populace.
A sampling distribution is a probability distribution of a statistic this is obtained via drawing a huge variety of samples from a particular populace. Researchers use sampling distributions so that you can simplify the technique of statistical inference.
Solution :
mean = μ40
standard deviation σ σ= 3
n = 10
μx = 40
σ x = σ√n = 3/√10 = 0.9487
μ x = 4σ\x = 0.9487
σx = 0.9487
Yes, the sampling distribution is normally distributed because the population is normally distributed.
Learn more about sampling distribution here:- brainly.com/question/12892403
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Answer:
23.64
Step-by-step explanation:
× (2 - 5)² + 6
= 
× (- 3)² + 6
= 1.96 × 9 + 6
= 17.64 + 6
= 23.64
[x] represents floor function also called as Greatest integer function.
Floor function is the function that takes as input a real number and gives as output the greatest integer less than or equal to.
like [1.5]=1
[0.7]=0
[-0.3]=-1
Now we have to find set of x-values which satisfies equation [x-1]=[x]
Due to -1 in [x-1], it always produces output value one less than value of [x]
for example when x=0.5 then [x]=[0.5]=0, [x-1]=[0.5-1]=[-0.5]=-1
when x=1.5 then [x]=[1.5]=1, [x-1]=[1.5-1]=[0.5]=0
when x=3 then [x]=[3]=3, [x-1]=[3-1]=[2]=2
From above results we can see that there is no value of x which satisfies the given equation [x-1]=[x]
Hence there is NO solution.
