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Zielflug [23.3K]
2 years ago
12

Write this ratio as a fraction in simplest form without any units. 45 days to 5 weeks

Mathematics
1 answer:
Dahasolnce [82]2 years ago
6 0
I’m pretty sure the answer is 9 to 1
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-4x + 2x + 3x + 8<br> Asap
Talja [164]

Answer:

x + 8

Step-by-step explanation:

1. To simplify this expression, we have to combine like terms.

  • (-4x + 2x + 3x) + (8)
  • (-2x + 3x) + (8)
  • x + 8

Therefore, the answer is x + 8.

4 0
2 years ago
An environmental scientist wants to use a 95% confidence interval to estimate the mean number of hours per day her solar panel r
MissTica

Answer:

a) The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 48 - 1 = 47

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 47 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0117

The margin of error is:

M = T*s = 2.0117*2.3 = 4.6

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.1 - 4.6 = 2.5 hours of sunlight per day

The upper end of the interval is the sample mean added to M. So it is 7.1 + 4.6 = 11.7 hours of sunlight per day

a) Compute the 95% confidence interval for the mean.

The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) Explain your confidence interval from part (a) in context.

The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

6 0
3 years ago
Find the area of the circle with the given radius or diameter. Use pi = 3.14. d = 10 A =
labwork [276]

The formula in computing the area of the circle is:

A = pi (r)^2

Where r = the radius of the circle

Since you are only given the diameter of the circle, you have to solve for its radius. The radius of the circle is half its diameter. Therefore, the radius of the circle is 5 (10/2).

Now, you substitute the measurements to the formula:

A = 3.14 (5)^2

A = 3.14 (25)

A = 78.5 sq. units

5 0
3 years ago
Read 2 more answers
While driving your rental car on your trip to Europe, you find that you are getting 12.4 kilometers per liter of gasoline. What
r-ruslan [8.4K]
<span>We know I kilometer = 0.62 miles and 1 liter = 0.26 gallon. Therefore, 12.4 km/liter = 12.4 * 0.62 miles / 0.26 gallon = 29.56 miles/gallon or we can right as aprproximately 30 miles/gallon. Thus, 12.4 km/l corresponds to 30 miles/gallon.</span>
6 0
3 years ago
meena found the number of scoops that her friend ordered by sloving the equation 0.75x + 5 =14 exlpain
vampirchik [111]
X=12
0.75x + 5=14
Take away 5 on both sides
So 0.75x +5-5=14-5
0.75x=9
0.75x divided by 9 = 12
6 0
2 years ago
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