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defon
3 years ago
10

Select all of the expressions that are equivalent to 4√5

Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0
The only expressions that are equal to 4√5 are

2√10
3 × 5^1/2 + 5^1/2
4 × 5^1/2
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Let X denote the number of cousins of a randomly selected student. Explain the difference between StartSet Upper X equals 2 EndS
Liono4ka [1.6K]

Answer:

A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.

Step-by-step explanation:

An event is an individual outcome or any number of outcomes of a random experiment or trial. An even that contains only one sample point is called a simple event. A compound event contains more than 1 sample point and is formed by the union of simple points.

An event A is said to occur only and if only the outcome of the experiment corresponds to some element of A.

In the given question the first symbolic representation gives an event and the second symbolic representation gives the probability.

The probability of X = 2 or 4 is given by P (X=2) or  P (X=4) symbollically.

So A is the best choice.

The relative frequency gives the probability  so choice B,C and D are wrong.

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3 years ago
What’s the area of the figure below?
TEA [102]

Answer:

482.5 ft^2.

Step-by-step explanation:

The figure can be regarded as a rectangle with a triangle cut out of one corner.

The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.

The required area = area of rectangle - area of triangle

= 25*20 - 1/2 * 5 * 7

= 500 - 17.5

= 482.5 ft^2

5 0
3 years ago
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What is the radian measure of central angle AOB in the circles? Write down the answer in the lowest terms
Katena32 [7]

5pi/12 radians

The arc measure is 75, so theta must also be the same. if theta is 75, and 75 in radians is 5pi/12 radians, then the answer is that.

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2 years ago
Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe
motikmotik

Answer:

  • 12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

  • Distance = 20 km
  • Time difference = 20 min = 1/3 hr
  • Speed difference  = 2 km/h

<u>As per above info we get following equations:</u>

  • s = d + 2
  • 20/s + 1/3 = 20/d

<u>Substitute s and solve for d:</u>

  • 20/(d + 2) + 1/3 = 20/d

<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

  • 60d + d(d + 2) = 60(d + 2)
  • 60d + d² + 2d = 60d + 120
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  • d² + 2d + 1 = 121
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<u>Find s:</u>

  • s = 10 + 2 = 12

<u>The answer is</u>

  • Masha's speed 12 km/h and Dasha's speed 10 km/h
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