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valentina_108 [34]
2 years ago
11

In a restaurant, the probability that a customer orders steak is 4/10. The probability of the same customer ordering dessert aft

er their meal is ¼. What is the probability that a random restaurant customer will order dessert given that they ordered steak?
A. 1/10

B. 2/8

C. 4/10

D. 5/8
Mathematics
1 answer:
joja [24]2 years ago
7 0
The answer is D. 5/8.
You have to divide the second event by the first event, so you have to divide 1/4 by 4/10.
You can just put that into your calculator and get 5/8, or you can multiply 1/4 by the reciprocal of 4/10, which is 10/4.
1/4 times 10/4 equals 5/8, therefore, the answer is 5/8.
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Alecsey [184]

Answer:

Well if the two polygons are the same then <u>the the two corresponding sides is the scale factor. </u>

Hope I Helped

4 0
3 years ago
How many solutions y=x^2-10x+25
MrRissso [65]
<h2>There are infinite solution of y.</h2>

Step-by-step explanation:

Given,

y = x^2 - 10x + 25

To find, the total number of solutions = ?

∴ y = x^2 - 10x + 25

⇒ y = x^2 - 2(x)(5) + 5^2

⇒ y = (x-5)^{2}

There are infinite solution of y.

Thus, there are infinite solution of y.

7 0
3 years ago
Help me hurry can someone these equations
Volgvan

f(x) + n - move the graph n units up

f(x) - n - move the graph n units down

n · f(x) - stretch by n in the y-direction

1/n · f(x) - compress by n in the y-direction

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First:

A)\ y=x^2\\\\B)\ y=x^2-4\\\\C)\ y=x^2-2\\\\D)\ y=x^2+2\\\\E)\ y=x^2+4

Second:

A)\ y=x^2\\\\K)\ y=4x^2\\\\L)\ y=2x^2\\\\M)\ y=\dfrac{1}{2}x^2\\\\N)\ y=\dfrac{1}{4}x^2

8 0
3 years ago
Which number line models the solution set of -2x + 7 &gt; 17?Pls do 2 answers for good measures (and brainliest)
Sidana [21]

Step-by-step explanation:

We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.

-2x+7>17

subtract 7 on both sides

-2x>10

divide by -2. remember that dividing by a negative flips the greater than or less than sign.

x<-5

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4 0
2 years ago
at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same
iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

  • d = 1720
  • x = plane's speed
  • y = wind speed
  • t1 = 5 hours
  • t2 = 4 hours.

Substitution

  • d = (x + y) * t
  • 1720 = (x + y) * 4
  • 1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
  • 4x + 4y = 5x - 5y                  Add 5y to both sides
  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
  • 4x + 9y = 5x                          Subtract 4x from both sides
  • 9y + 4x - 4x = 5x - 4x           Combine
  • 9y = x

Now use one of the given equations with the distance

  • 1720 = (x + y)*4           Substitute 9y for x
  • 1720 = (9y + y) *  4      Combine
  • 1720 = 10y * 4             Multiply the right
  • 1720 = 40y                  Divide by 40
  • 1720/40 = 40y/40      Do the division
  • 43 = y                          y = wind speek
  • 9y = x                          x = 9*y  
  • 9*43 = x
  • x = 387 miles per hour.
4 0
3 years ago
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