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dangina [55]
3 years ago
11

Alice is shopping for cheese. She notices that the cheddar and brie have the same volume, even though their shapes are different

.
(Image shown below)

Based on the diagrams, what is the width, w, of the brie?

A. 2 cm

B. 4 cm

C. 8 cm

D. 16 cm

(CORRECT ANSWER WILL GET BRAINLIEST)

Mathematics
2 answers:
shutvik [7]3 years ago
6 0
The correct answer is B: 4 cm
ahrayia [7]3 years ago
6 0
The correct answer is b 4 cm
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Points B and B' have symmetry with respect to P. Find the coordinates of P when B is (2, 8) and B' is (2, 2). A. (2, 5) B. (0, 5
Alecsey [184]

Answer:

A. (2, 5)

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If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:

P(x,y) = \frac{1}{2}\cdot B(x,y)+\frac{1}{2}\cdot B'(x,y) (Eq. 1)

If we know that B(x,y) = (2,8) and B'(x,y) = (2,2), then the location of P is:

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P(x,y) = (1, 4)+(1,1)

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7 0
3 years ago
If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
Marta_Voda [28]

Answer:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

7 0
3 years ago
Read 2 more answers
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