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yaroslaw [1]
4 years ago
10

HeLp would be appreciated for the image below :))

Mathematics
1 answer:
erik [133]4 years ago
3 0

Answer:

A

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

(\frac{1}{2} x )² + 3² = (\sqrt{45} )²

\frac{1}{4} x² + 9 = 45 ( subtract 9 from both sides )

\frac{1}{4} x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = \sqrt{144} = 12 → A

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The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. An executive from the com
sukhopar [10]

Answer:

B) 0.287

Step-by-step explanation:

For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

53% recognition rate in the town of Coffeeton.

This means that p = 0.53

Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name.

This is P(X = 4) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{7,4}.(0.53)^{4}.(0.47)^{3} = 0.287

So the anwer is:

B) 0.287

7 0
3 years ago
Read 2 more answers
Find the volume of the prism in centimeters
Anastasy [175]
The answer would be 75 using the formula v=1/2(a)(c)(h)
7 0
3 years ago
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NEED HELP! GIVING OUT BRAINLIEST! (Need long answer)
otez555 [7]
The constant of proportionality is 1.25 and its meaning is the soup price per can
Step-by-step explanation:
The diagram below shows a proportional relationship between the number of cans of soup and the price.
1st:
$3.75 for 3 cans
per can
2nd:
$6.25 for 5 cans
per can
If x is the number of cans and y is the price of x cans, then

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7 0
2 years ago
Solvex2<br> - 4x=21 <br> using the zero product property.
Ierofanga [76]

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

<em><u>-TheUnknownScientist</u></em>

5 0
3 years ago
Mrs. Welch and her 7 children are shopping at a local grocery store. Each of the children will be allowed to select one box of c
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Answer: I am pretty sure the answer is 40,320

Step-by-step explanation:

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7 0
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