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Blababa
10 days ago
7

Find the value of x in the triangle shown below

Mathematics
2 answers:
lawyer [9.2K]10 days ago
6 0
The value of x is 12. This can be found using the Pythagorean theorem with c equal to 13 and b equal to 5, where a equals x.
zzz [9K]10 days ago
3 0
The triangle in question is identified as a right triangle with specified base and height. We can determine the unknown side utilizing the Pythagorean Theorem, which states: Hypotenuse = 13 Perpendicular = 5 Base = x Thus, the calculated value of 'x' is 12.
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Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation
Zina [9171]

Answer:

There is a probability of 24.51% that the weight of a bag exceeds the maximum permitted weight of 50 pounds.

Step-by-step explanation:

Problems dealing with normally distributed samples can be addressed using the z-score formula.

For a set with the mean \mu and a standard deviation \sigma, the z-score for a measure X is calculated by

Z = \frac{X - \mu}{\sigma}

Once the Z-score is determined, we consult the z-score table to find the related p-value for this score. The p-value signifies the likelihood that the measured value is less than X. Since all probabilities total 1, calculating 1 minus the p-value gives us the probability that the measure exceeds X.

For this case

Imagine the weights of passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation of 3.09 pounds, thus \mu = 47.88, \sigma = 3.09

What probability exists that a bag’s weight will surpass the maximum allowable of 50 pounds?

That translates to P(X > 50)

Thus

Z = \frac{X - \mu}{\sigma}

Z = \frac{50 - 47.88}{3.09}

Z = 0.69

Z = 0.69 has a p-value of 0.7549.

<pthis indicates="" that="" src="https://tex.z-dn.net/?f=P%28X%20%5Cleq%2050%29%20%3D%200.7549" id="TexFormula10" title="P(X \leq 50) = 0.7549" alt="P(X \leq 50) = 0.7549" align="absmiddle" class="latex-formula">.

Additionally, we have that

P(X \leq 50) + P(X > 50) = 1

P(X > 50) = 1 - 0.7549 = 0.2451

There is a probability of 24.51% that the weight of a bag will exceed the maximum allowable weight of 50 pounds.

</pthis>
6 0
21 day ago
1199.28856995 to the nearest ten
lawyer [9240]
Hey! Hi! Hola! Aloha!


When rounding 1199.28856995 to the nearest tenth, the result is 119.3.

I hope this is helpful!
4 0
1 month ago
Read 2 more answers
Which rule describes the composition of transformations that maps figure ABCDE to figure A”B”C”D”E?
Svet_ta [9500]
The final choice is your answer.
5 0
26 days ago
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A player is randomly dealt a sequence of 13 cards from a deck of 52-cards. All sequences of 13 cards are equally likely. In an e
zzz [9080]

Response:

The answer is 1/13

To explain step-by-step:

We are notinformed about the first (01) twelve (12) cards that are shown; hence, the probability that the thirteenth (13) card dealt is a King is equivalent to the probability of the first card being a King, or specifically any designated card dealt being a King, equating to:

=4/52

=

1/13 FINAL RESULT

5 0
14 days ago
In the expression 2(10x) + 15y, x represents the number of hours Nina works in a week at a clothing store and y represents the n
zzz [9080]
Among the options provided, the statement that holds true is the third one: "Nina makes 20x dollars each week at the clothing store." The information given explicitly mentions that x denotes the total hours she has worked within a week. This assertion renders the other statements incorrect.
8 0
4 days ago
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