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12345 [234]
3 years ago
7

Last weekend, Raptor Club members spotted 160 hawks. This weekend they saw 70% as many as they saw last weekend. How many hawks

did they see this weekend?
Mathematics
1 answer:
pickupchik [31]3 years ago
4 0
They have seen 112 Hawks
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72.22

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The sum of two numbers is 52. If one number is 76 times the second number, then find the largest number out of the two.
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A survey of 542 consumers reveals that 301 favor the new design for a product. Construct a 90% confidence interval for the true
kodGreya [7K]

Answer:

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 542, \pi = \frac{301}{542} = 0.555

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.555 - 1.645\sqrt{\frac{0.555*0.445}{542}} = 0.52

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.555 + 1.645\sqrt{\frac{0.555*0.445}{542}} = 0.59

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).

5 0
3 years ago
Mr.Simon bought 32 feet of rope. He used 7/8 of the rope to secure a tree to a post to prevent it from falling, how many feet di
rewona [7]

Answer:

28 feet

Step-by-step explanation:

32 X7/8= 7X4=28 feet

5 0
2 years ago
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