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IrinaK [193]
2 years ago
13

At a competition 24 of the 40 members of a middle school band won a medal.what percentage of the band won a medal?

Mathematics
1 answer:
Maru [420]2 years ago
7 0

Answer:

60% of the band won a medal.

Step-by-step explanation:

=24/40*100

=2400/40

=60%

Therefore, 60% band won a medal.

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The ________ is the distance from the center to the edge of a circle
iVinArrow [24]

Answer:

Radius

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Two ballpoint pens are selected at random from a box that contains 3 blue pens, 2 red pens, and 3 green pens. If X is the number
Flauer [41]

Answer:

a) f(x,y) =\frac{\binom{3}{x}\binom{2}{y}\binom{3}{2-x-y}}{\binom{8}{2}} ;   x = 0, 1 , 2;  y = 0, 1 , 2; 0 ≤ x+y ≥ 2

b) = \frac{9}{14}

Step-by-step explanation:

joint probability is a function that characterizes the distribution of a random variable. If X and Y be two random variables then the joint probability will be P(X = x, Y=y)

Given Data,

X = The number of blue Pens

Y = The number of red Pens

a)

possible outcomes(X, Y) are (0, 0), (0, 1), (1, 0), (1, 1), (0, 2), (2,0)

Please refer fig. also

total number ways of selecting any 2 pens = \binom{8}{2}= \frac{8!}{2! 6!} =28

f(x,y) = \frac{\binom{3}{x}\binom{2}{y}\binom{3}{2-x-y}}{\binom{8}{2}} ;   x = 0, 1 , 2;  y = 0, 1 , 2; 0 ≤ x+y ≥ 2

b)

P(X,Y)∈A = P(X + Y ≤ 1)

= P(0,0) + P(1,0) + P(0,1)

= \frac{3}{28} + \frac{3}{14} + \frac{9}{28}

= \frac{9}{14}

4 0
3 years ago
The difference of 2 squared numbers equals 53, what are the numbers​
Eva8 [605]

Answer:

  27, 26

Step-by-step explanation:

  27^2 -26^2 = 729 -676 = 53

If the numbers are integers, they must differ by an odd number. For some odd number k, we will have ...

  (x +k)^2 -x^2 = 53

  2xk +k^2 = 53

  x = (53 -k^2)/(2k)

  x = 53/(2k) -k/2

The second term is an odd multiple of 1/2. The first term will be an odd multiple of 1/2 only for k=1. For k = 1, we have ...

  x = (53 -1)/2 = 26

The two numbers are 26 and 27.

8 0
2 years ago
You roll a dice and flip a coin what is the probability of rolling a number less than three and flipping tails
sesenic [268]

Answer

its 50 percent

Step-by-step explanation:

coins only have 2 sides so 50/50 and dice only have 6 so 50/50

6 0
3 years ago
Which of the following is not equal to the other values? cos31.7° cos211.7° cos328.3° cos(-391.7°)
luda_lava [24]

Answer:

* cos 211.7 not equal the other values

Step-by-step explanation:

* Lets revise the angles in the four quadrant

- If the angle in the first quadrant is Ф, then the equivalent angles to

 it in the other three quadrant are

# 180° - Ф ⇒ 2nd quadrant (sin only +ve)

# 180° + Ф ⇒ 3rd quadrant (tan only +ve)

# 360° - Ф ⇒ 4th quadrant (cos only +ve)

# -Ф ⇒ 4th quadrant (cos only +ve)

# -180 + Ф ⇒ 3rd quadrant (tan only +ve)

# -180 - Ф ⇒ 2nd quadrant (sin only +ve)

# -360 + Ф ⇒ 1st quadrant (all are +ve)

* Lets solve the problem

∵ Ф = 31.7°

∵ cos 31.7 = +ve value

∵ 180° + Ф° = 180° + 31.7° = 211.7°

∵ cos (180° + Ф°) = - cos Ф° ⇒ cos (180° + Ф°) in the 3rd quadrant is

  same value as cos Ф but with -ve sign

∴ cos 211.7° = - cos 31.7°

∴ cos 31.7° ≠ cos 211.7°

∵ 360° - Ф° = 360° - 31.7° = 328.3°

∵ cos (360° - Ф°) = cos Ф° ⇒ cos (360° - Ф°) in the 4th quadrant has the

  same value and sign with cos Ф°

∴ cos 328.3° = cos 31.7°

∴ cos 31.7° = cos 328.3°

∵ -391.7° + 360° = -31.7° ⇒ more then clockwise turn by 31.7°

∵ cos (-Ф°) = cos Ф° ⇒ cos (-Ф°) in the 4th quadrant has the same value

  and sign with cos Ф°

∴ cos (-31.7°) = cos 31.7°

∴ cos 31.7° = cos (-390.7°)

* cos 211.7 not equal the other values

6 0
2 years ago
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