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denpristay [2]
3 years ago
9

PLEASE HELP

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0

Answer:

D About 2000 times

Step-by-step explanation:

About 2000 times

Saturn = 5.683 × 10^32

Mercury = 3.302 × 10^29

Unit of measurement is irrelevant in ratios.

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When solving a linear system by substitution, how do you decide which variable to solve first?
rosijanka [135]

Answer: whichever one is easiest to get by itself.

Step-by-step explanation:

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3 years ago
A hypothesis test has a significance level of 10%. Explain what this significance level represents.
beks73 [17]
In statistical methods, the significance level is a value that is used as a criterion for rejecting a null hypothesis. It used by first looking at the differences between the experimental results and from there the null hypothesis would be determined. Then, we assume that the null hypothesis is true, the probability of the differences is computed by using statistical tools. If the computed probability is less than or equal to the value of the significance level, then you conclude that the null hypothesis should be rejected and that the results are statistically significant. Usually, a significance level of 1% or 5% is used. 
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3 years ago
Read 2 more answers
Tickets for a play cost $11 for an adult and $80 for a child on Saturday night 300 tickets were sold the amount of money collect
Ratling [72]

Answer:

120 adults tickets were sold

8 0
3 years ago
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref
hichkok12 [17]

Answer:

P is exactly 3km east from the oil refinery.

Step-by-step explanation:

Let's d be the distance in km from the oil refinery to point P. So the horizontal distance from P to the storage is 3 - d and the vertical distance is 2. Hence the diagonal distance is:

\sqrt{(3 - d)^2 + 2^2} = \sqrt{(3 - d)^2 + 4}

So the cost of laying pipe under water with this distance is

800000\sqrt{(3 - d)^2 + 4}

And the cost of laying pipe over land from the refinery to point P is 400000d. Hence the total cost:

800000\sqrt{(3 - d)^2 + 4} + 400000d

We can find the minimum value of this by taking the 1st derivative and set it to 0

800000\frac{2*0.5*(3-d)(-1)}{\sqrt{(3 - d)^2 + 4}} + 400000 = 0

We can move the first term over to the right hand side and divide both sides by 400000

1 = 2\frac{3 - d}{\sqrt{(3 - d)^2 + 4}}

\sqrt{(3 - d)^2 + 4} = 6 - 2d

From here we can square up both sides

(3 - d)^2 + 4 = (6 - 2d)^2

9 - 6d + d^2 + 4 = 36 - 24d + 4d^2

3d^2-18d+27 = 0

d^2 - 6d + 9 = 0

(d - 3)^2 = 0

d -3 = 0

d = 3

So the cost of pipeline is minimum when P is exactly 3km east from the oil refinery.

3 0
3 years ago
Find the volume of the triangular prism 3cm 4 cm 5cm 11cm
vichka [17]

Answer:

82.5cm²

Step-by-step explanation:

The volume of a triangular prism is : V = 1/2 * a * c * h

V = 1/2 * 3 * 5 * 11

= 165/2

= 82.5cm²

4 0
3 years ago
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