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Nana76 [90]
3 years ago
10

2,550 gallons in 30 days

Mathematics
2 answers:
ycow [4]3 years ago
8 0
If you would like to know how many gallons do you need for 1 day, you can calculate this using the following steps:

2550 gallons ... 30 days
x gallons = ? ... 1 day

2550 * 1 = 30 * x
2550 = 30 * x       /30
x = 2550/30
x = 85 gallons

The correct result would be 85 gallons.
serg [7]3 years ago
8 0
Find the unit rate. Solve:-

2550 ÷ 30 = 85
85 gallons per day

Check our work:-

85 × 30 = 2550
Correct!

So, <span>85 gallons per day.</span>
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A lawn service owner is testing new weed killers. He discovers that a particular weed killer is effective 89% of the time. Suppo
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Answer:

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

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}}

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He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.

This means that \pi = 0.89, n = 60

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}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564

The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.

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<u>x-intercept</u>

Since the x-intecept has a y-value of 0, we can substitute this into the function and solve for x.

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x = - \dfrac{3}{2}

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The x-value of the x-intercept is -\frac{3}{2} and the y-value is 0, meaning that the x-intercept has coordinates \boxed{(-\frac{3}{2}, 0)}.


<u>y-intercept</u>

Since the y-intercept has a x-value of 0, we can substitute this into the equation and solve for y:

y = -2(0) - 3

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y = -3

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The y-value of the y-intercept is -3, meaning that the y-intercept of the function is \boxed{(0, -3)}.

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