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2 years ago

I need a answer please

Mathematics

1 answer:

andrew-mc [135]2 years ago

4 0

65^2 = 39^2 + b^2

4225 = 1521 + b^2

b^2 = 4225 - 1521

b^2 = 2704

b = √2704

b = 52 inches

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Alinara [238K]

Answer:

Hence, the probability is:

$\dfrac{1}{25}$

Step-by-step explanation:

The number of chips of different colors in Vicky's bag is shown below:

5 blue chips 11 pink chips 9 white chips.

The total number of chips in Vicky's bag are: 25

( since, 5+11+9=25 chips)

Also,

the choosing of the chip is done on the basis of replacement.

This means when one chip is drawn it is put back into the bag and then the other chip is drawn.

Let P denote the probability of an event.

This means that:

P(Blue)=5/25

( Since there are 5 blue chips out of 25 chips)

As the drawing of chip in first draw is independent of the second draw.

Hence, the probability that Vicky takes out a blue chip in both draws is calculated as:

$P(Choosing\ Blue\ in\ both\ draw)=P(Blue)\times P(Blue)\\\\P(Choosing\ Blue\ in\ both\ draw)=\dfrac{5}{25}\times \dfrac{5}{25}\\\\P(Choosing\ Blue\ in\ both\ draw)=\dfrac{1}{25}$

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2 years ago

The probability that an international flight leaving the United States is delayed in departing (event D) is .28. The probability

rodikova [14]

Answer:

$\large\boxed{0.24}$

Explanation:

To make the information easier to handle, write your data using mathematical (probabilities) language:

1. The probability that an international flight leaving the united states is delayed in departing (event d) is .28

P(D) = 0.28

2. The probability that an international flight leaving the united states is a transpacific flight (event p) is .55.

P(P) = 0.55

3. The probability that an international flight leaving the u.s. is a transpacific and is delayed in departing is .13.

P(P∩D) = 0.13

4. What is the probability that an international flight leaving the United States is delayed given that the flight is a transpacific flight?

P(D/P) = ?

To solve use conditional probability:

Conditional probability formula: P (A/B) = P (A ∩ B) / P(B)

Substituting the data for this problem:

P (D/P) = P (D ∩ P) / P (P) = 0.13/0.55 = 0.24

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2 years ago

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ladessa [460]

Answer:

49x-26x=-13 - 14

23x=-1

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2 years ago

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Alex17521 [72]

Answer:

Rule is (x, y+k)

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Step-by-step explanation:

A point translated vertically k units up means the x coordinate remains the same in the translation but the y coordinate is increased by k units

This can be represented mathematically as;

Let;s assume the point to be A with coordinates (x,y) then to get the image of the point under a vertical translation k units up you add k to the y coordinate value.

Given ;

$A=(\frac{x}{y} )\\\\T=(0,k)\\\\A'=(\frac{x}{y} )+(\frac{0}{k} )=(\frac{0+x}{y+k} )\\\\A'=\frac{x}{y+k} =(x,y+k)$

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In the question

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Answer:

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Step-by-step explanation:

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