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Fiesta28 [93]
3 years ago
6

The total number of running yards in a football game was less than 100. The inequality x < 100 represents the situation.

Mathematics
1 answer:
Aleks [24]3 years ago
4 0

Answer:

sorry I'm late but it's b I'm on unit test on edge

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8z-13=7 what's the number that replaces z
Goshia [24]
All you do is solve for z. So 8z-13=7. To solve for a variable you have to do the opposite to cancel out the numbers on each side. First you add 13 over to 7 to cancel out 13 on the z side. So 8z=20 is what you have left. Then you divide 8 on both sides to cancel out 8 on the z side. what you are left with is z=2.5. Lastly you plug and check. 8(2.5) - 13 = 7, 20-13=7. And thats correct so z is 2.5.
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What is the solution to the inequality d/7+4
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I think the answer would be d(greater than or equal to) -28
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Suppose that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each
stich3 [128]

We have been given that  you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.            

We will use sum of geometric sequence formula to solve our given problem.

S_n=\frac{a\cdot(1-r^n)}{1-r}, where,

a = First term of sequence,

r = Common ratio,

n = Number of terms.

For our given problem a=50, r=50\%=\frac{50}{100}=0.5 and n=25.

S_{25}=\frac{50\cdot(1-(0.5)^{25})}{1-0.5}

S_{25}=\frac{50\cdot(1-0.0000000298023224)}{0.5}

S_{25}=\frac{50\cdot(0.9999999701976776)}{0.5}

S_{25}=100\cdot(0.9999999701976776)

S_{25}=99.99999701976776\approx 100

Therefore, the ball will travel 100 meters and option B is the correct choice.

 

4 0
3 years ago
Pls help asap!!!! tysm guys!!
Delvig [45]

Answer:

C. 256 in2

Step-by-step explanation:

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Art [367]
Nathan has an infection and he needs to be treated with penicillin
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And to test if the skin reacts to penicillin, the test is 98% accuracy
So even if he has the allergy the test is only 98% accurate of identifying the allergy
Therefore we are asked to find the probability of both these events happening
Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
The answer is D. 0.735
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