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hichkok12 [17]
3 years ago
7

Please help!

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:14%

Step-by-step explanation:

final grade score=a

20% of a=15

20/100 x a=15

20a/100=15

Cross multiply

20a=15 x 100

20a=1500

Divide both sides by 20

20a/20=1500/20

a=75

B% of 75=10.5

B/100 x 75=10.5

75B/100=10.5

Cross multiply

75B=10.5 x 100

75B=1050

Divide both sides by 75

75B/75=1050/75

B=14

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College LEVEL can you help me? :S
Yanka [14]

Although the formula looks involved, the key here is looking to see where the information goes.

We are given all the pieces but need to convert mph to ft/s to use the formula. Let's do it with 1 mph so that we have a ratio to use. We and solve a unit conversion problem.

\frac{1mile}{hour} * \frac{hour}{60 minutes} * \frac{minute}{60 seconds} * \frac{5280 feet}{mile} = \frac{5280}{60*60} = \frac{5280}{3600} = 1.46666

That ratio tells us that 1 mph is 1.466666 ft/s. Now we solve two proportions.

1 mph / 1.466666 feet per second = 60 mph / x feet per second.

1x = (60)(1.466666)

So x = 88 feet per second.


Next, We repeat for 24 mph.

1 mph / 1.46666 feet per second = 24 mph / x feet per second.

1x = (1.4666666)(24)

x = 35.2 feet per second


Now we have the found appropriate V₁ and V₂. V₁ > V₂, so V₁ is 88 ft/s and V₂ is 35.2 ft/s. The problem tells us θ = 2.3 degrees, K₁ = .4 and K₂ = .06. The rest of the problem is calculator work. Start by substituting our degree measure of 2.3 degrees and the given values in the problem for V₁, V₂, K₁, and K₂

D = \frac{1.05[(88)^{2}-(35.2)^{2}]}{64.4(.4+.06 + (sin 2.3))}

D = \frac{1.05[(7744-1239.04]}{64.4(.46 + (sin 2.3))}

D = \frac{1.05(6504.96)}{64.4(.46 + 0.04013)}

D = \frac{6830.208}{64.4(0.50013)}

D = 6830.208 / 32.208372

D = 212.0631 = 212 (to the nearest foot)


Thus the car needs 212 feet to stop.

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3 years ago
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vampirchik [111]

Answer:

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Step-by-step explanation:

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A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 390 babies were​ born, a
JulijaS [17]

Answer:Yes

Step-by-step explanation:

Given

n=390 x=312

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Z_{\frac{\alpha }{2}}=2.575

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Confidence interval

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0.8 \pm 0.0521

\left ( 0.7479,0.8521 \right )

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blagie [28]

Answer:

x:10,13, 14,16,18

y:0, 1.5, 2, 3,4

Step-by-step explanation:

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