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Kryger [21]
3 years ago
10

Emily flipped a coin 30 times the coin landed heads up nine times and tails up 21 times

Mathematics
1 answer:
lara [203]3 years ago
8 0
Part A)
 The coin landed on heads 9 times out of 30 flips, so the experimental probability is 9/30, which reduces to 3/10 probability.

Part B)
 Theoretically a coin has a 1/2 probability of landing on heads each flip


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A football player punts a ball. The path of the ball can be modeled by the equation y = –0.004x2 + x + 2.5, where x is the horiz
Galina-37 [17]
The answer is <span>252.5 ft

</span><span>y = –0.004x</span>²<span> + x + 2.5
Let's take y = 0 and we'll get the quadratic equation:

</span>–0.004x² + x + 2.5 = 0
The general formula for quadratic equation is:
ax² + bx + c = 0

a = -0.004
b = 1
c = 2.5

x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac} }{2a} =\frac{-1+/- \sqrt{ 1^{2}-4*(-0.004)*2.5} }{2*(-0.004)} = \frac{-1+/- \sqrt{1+0.04} }{-0.008} = \\ &#10;=\frac{-1+/- \sqrt{1.04} }{-0.008} = \frac{-1+/-1.02}{-0.008}

x_1=\frac{-1+1.02}{-0.008} = \frac{0.02}{-0.008} = -2.5 \\ &#10;x_2=\frac{-1-1.02}{-0.008} = \frac{2.02}{-0.008} = 252.5

Since distance cannot be negative (x1), the correct answer is x2 = 252.5 ft
5 0
3 years ago
Read 2 more answers
An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique
KIM [24]

Answer:

The dimensions of the garden is 102 feet by 68 feet

Step-by-step explanation:

Here, we want to get the width and length of the garden

The perimeter is represented by the length of the fencing

From the question;

w = 2l/3

The formula for the perimeter is;

P = 2(l + w)

Thus;

340 = 2(l + 2l/3)

170 = (l + 2l/3)

Multiply through by 3

510 = 3l + 2l

5l = 510

l = 102 feet

w = 2/3 * l

w = 2/3 * 102

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7 0
2 years ago
Chang has 2 shirts: a white one and a black one. He also has 2 pairs of pants, one blue and one tan. What is the probability, if
weqwewe [10]

Answer:

The probability that Chang gets dressed with a white shirt and tan pants is 25%.

Step-by-step explanation:

Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:

Each shirt = 50% chance

Each pants = 50% chance

0.50 x 0.50 = X

0.25 = X

Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.

5 0
2 years ago
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Step2247 [10]
47- 12 1/3 = 34 2/3
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8 0
2 years ago
A 30% discount on $47.50 is what <br> i need to know fast
zhuklara [117]
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47.50 - 14.25 = 33.50
4 0
3 years ago
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