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shusha [124]
2 years ago
5

A circle has a radius of 3 feet. What is the arc length subtended a central angle of 90 degrees?

Mathematics
1 answer:
muminat2 years ago
5 0

Answer:

90 + 3 - 180 = 87

Step-by-step explanation:

I remembered doing a problem like this in Algebra, but i think this is right

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Y=-square root of 2x+1
EastWind [94]
Did you mean -1? If so your answer would be, there is no intercept with the y axis. The intercept with the x axis is at (1/2, 0)
8 0
3 years ago
Number expression for 84
Evgesh-ka [11]

Answer:

How do we get a bigger number? Subtracting or dividing will just make it smaller. So we have to multiply. We need it about 4 times bigger (3 x 28 = 84, 4 x 28 .

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
2. What is the probability of spinning an A on the first spinner and an odd number
pychu [463]

Answer: <em>1/10</em>

Step-by-step explanation: These two events are independent, meaning the outcome of the first event doesn't affect the outcome of the second.

To find the probability of independent events, first, find the

probability of each event, then multiplies the probabilities.

The probability of spinning an A on the first spinner is 1/5

since there is 1 favorable outcome and 5 total outcomes.

The probability of spinning an odd number on the second spinner

is 3/6 which simplifies to 1/2 since there are 3 favorable outcomes,

spinning a 1, 3, or another 3 since these are odd numbers.

So now we have 1/5 × 1/2 and when multiplying fractions,

we multiply across the numerators and denominators to get 1/10.

So the probability of spinning an A, then an odd number is 1/10.

5 0
2 years ago
Josh and Greg leave from the same place
nasty-shy [4]

9514 1404 393

Answer:

  • Josh: 32 mph, 64 mi
  • Greg: 64 mph, 320 mi

Step-by-step explanation:

Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...

  distance = speed · time

  distance = x · 2 = 2x

Then 2x is Greg's rate of travel After 5 hours, his distance is ...

  distance = speed · time

  distance = (2x) · 5 = 10x

The distance they are apart is ...

  10x -2x = 256

  8x = 256

  x = 32

__

Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.

Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.

<em>__</em>

<em>Check</em>: 320 miles - 64 miles = 256 miles . . . . correct separation

6 0
3 years ago
In preparation for an earnings report, a large retailer wants to estimate p= the proportion of annual sales
mr Goodwill [35]

Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size and the estimate are given by:

n = 161, \pi = \frac{37}{161} = 0.2298

Hence:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948

The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

More can be learned about the z-distribution at brainly.com/question/25890103

5 0
2 years ago
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