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ahrayia [7]
3 years ago
10

In the sport​ competition, France won more gold medals than​ Italy, who won more gold medals than Korea. If the total number of

gold medals won by these three countries is three consecutive integers whose sum is 24​, find the number of gold medals won by each.
Mathematics
2 answers:
Elden [556K]3 years ago
6 0
North Korea: 7
Italy:8
France:9
s344n2d4d5 [400]3 years ago
6 0
It is 8 because u need to divide 24 by 3 and u get 8

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Families USA, a monthly magazine that discusses issues related to health and health costs, surveyed 20 of its subscribers. It fo
Harman [31]

Answer:

(a) The 90 percent confidence interval for the population mean yearly premium is ($10,974.53, $10983.47).

(b) The sample size required is 107.

Step-by-step explanation:

(a)

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

Given:

\bar x=\$10,979\\s=\$1000\\n=20

Compute the critical value of <em>t</em> for 90% confidence level as follows:

t_{\alpha/2, (n-1)}=t_{0.10/2, (20-1)}=t_{0.05, 19}=1.729

*Use a <em>t-</em>table.

Compute the 90% confidence interval for population mean as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

     =10979\pm 1.729\times \frac{1000}{\sqrt{20}}\\=10979\pm4.47\\ =(10974.53, 10983.47)

Thus, the 90 percent confidence interval for the population mean yearly premium is ($10,974.53, $10983.47).

(b)

The margin of error is provided as:

MOE = $250

The confidence level is, 99%.

The critical value of <em>z</em> for 99% confidence level is:

z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58

Compute the sample size as follows:

MOE= z_{\alpha/2}\times \frac{s}{\sqrt{n}}

      n=[\frac{z_{\alpha/2}\times s}{MOE} ]^{2}

         =[\frac{2.58\times 1000}{250}]^{2}

         =106.5024\\\approx107

Thus, the sample size required is 107.

4 0
3 years ago
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f
weqwewe [10]

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

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We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

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It is a quadratic equation. Its solution is given by :

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So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.

8 0
3 years ago
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