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pentagon [3]
4 years ago
7

Solve the equation 8b+2=3b+12

Mathematics
2 answers:
ElenaW [278]4 years ago
6 0

The answer is b is equal to 2.

vichka [17]4 years ago
3 0

combine like terms

5b=10

divide by 5 on both sides

b=2

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You want to help build an awards podium for a track meet. If the podium has the dimensions shown, what is its volume?
Dennis_Churaev [7]

Answer:

18

Step-by-step explanation:

4 0
4 years ago
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A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modele
aev [14]

THIS IS THE COMPLETE QUESTION

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Given that the

equation for shot block height h = 9 + 25t – 16t2.

equation for ball height h = 6 + 30t – 16t2.

From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds

CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION

5 0
3 years ago
Read 2 more answers
A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

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Rounding up:

A sample of 997 is needed.

3 0
3 years ago
A T-shirt launcher can launch 105 shirts in 20 minutes. What is the rate in shirts per hour?
Margarita [4]

The T-shirt launcher can launch 315 shirts per hour.

4 0
4 years ago
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The contingency table below gives the counts of students by activities and gender. Band Sports Debate Total Male 105 320 7 432 F
Ber [7]

Answer:

599/711

Step-by-step explanation:

           Band Sports Debate Total

Male     105 320  7         432

Female 105 160         14         279

Total 210 480          21          711


P(female or plays sports)

We want the probability that they are female or play sports, but we cannot double count the female sports players, so we subtract them

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female/total + sports/total - female sports/ total

279/711 + 480/711 - 160/711

599/711

6 0
3 years ago
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