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Helga [31]
3 years ago
6

What two consecutive whole numbers does the square root of 45 lie between answers?

Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0
6²=36
7²=49
✓45 is between 6 and,,7
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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

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}.

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that n = 533, \pi = \frac{351}{533} = 0.6585

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value 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}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0
3 years ago
The cost of producing 4 metal units is $204 80. The cost of producing 8 units is $209 60. What is the cost to produce 12 units?
Anuta_ua [19.1K]
614.40 because 204.80 divided by 4 is 51.20 and 51.20 multiplied by 12 is 614.40
6 0
3 years ago
PLZ HELP FAST
natka813 [3]

Answer:

11.81

Step-by-step explanation:

5 1/4 per 20 min (1/3 of an hour)

5.25 (5 1/4) * 3 = 15.75 pounds per hour

$0.75 earned per pound

So, 15.75 * $0.75 = $11.81

7 0
3 years ago
Read 2 more answers
Sadie has mangos and watermelons in a ratio of 91:11. How many mangos does she have if she has 66 watermelons?
snow_lady [41]

Answer:

546 manogoes

Step-by-step explanation:

Sadie has mangos and watermelons in a ratio of 91:11.

We need to find the number of mangoes if she has 66 watermelons.

It means that,

11x = 66

x = 6

So,

Mangoes = 91x

= 91(6)

= 546

Hence, there are 546 mangoes.

3 0
3 years ago
What is the slope and y-intrrcept of 5x-3y= -15
Ivahew [28]
<span>5x - 3y= -15
3y = 5x + 15
y = 5/3 x + 5

answer

slope m = 5/3
y intercept = 5</span>
4 0
3 years ago
Read 2 more answers
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