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Vladimir [108]
2 years ago
6

Hip traveled 150 nautical miles in 6 hours at a constant speed. How far did the cargo ship travel in one hour?.

Mathematics
1 answer:
alukav5142 [94]2 years ago
5 0

Answer:

25 nautical miles

Step-by-step explanation:

150/6=25

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X+2y=6 and x-y=3 solve by linear equations by substitution
nevsk [136]
X+2y=6
x-y=3x=6-2y
x=3+y

6-2y=3+y
3=3y
y=1

x=3+1
x=4
Answer: (4;1)





3 0
3 years ago
A city planner wants to estimate the average monthly residential water usage in the city. He selected a random sample of 100 hou
hodyreva [135]

Answer:

The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{600}{\sqrt{100}} = 98.7

The lower end of the interval is the sample mean subtracted by M. So it is 4500 - 98.7 = 4401.3 gallons

The upper end of the interval is the sample mean added to M. So it is 4500 + 98.7 = 4598.7 gallons

The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.

4 0
2 years ago
after eating at the restaurant, jason, sandy, and sam decided to divide the bill evenly. if each person pid 34 dollars, what was
stealth61 [152]

Answer:

$102

Step-by-step explanation:

34x3=102

34+34+34=102

There are three people total, each paid 34. Add each person's total to the others, or multiply by three.

5 0
3 years ago
LCD of (2/x^2) - (7/4x^2+12x)?
svlad2 [7]

Answer:

4x³ + 12x²

Step-by-step explanation:

I assume the denominators are x² and 4x although that is not what you wrote.

x² = x² (already factored)

4x² + 12x = 4x(x + 3)

LCD = 4 × x² × (x + 3)

LCD = 4x³ + 12x²

8 0
2 years ago
Ron has two bags of different stickers. The first bag has 3 cars, 2 trucks, and 5 dinosaurs. The second bag has 6 cars, 4 trucks
Katen [24]

1/2 chance to get a dinosaurs sticker for the first bag. 1/6 chance to get a dinosaurs sticker for the second bag.

4 0
3 years ago
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