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Tcecarenko [31]
3 years ago
6

A tanker of capacity 200 litres has 12.05 litres of oil. how much more oil can be poured into the tanker ?

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

187.95 liters.

Step-by-step explanation:

the entire capacity of the tank is 200 liter, you subtract how much oil is in there already, you will have the remaining Of the capacity that can be added.

200 - 12.05 = 187.95

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Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Constr
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Hello!

<em>Full text:</em>

<em>Listed below are amounts of court income and salaries paid to the town justice. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P value using  α  = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? </em>

<em> Court Income: 65.0, 402.0, 1567.0, 1132.0, 273.0, 251.0, 112.0, 156.0, 34.0 </em>

<em> Justice Salary: 31, 46, 91, 56, 47, 60, 26, 27, 18 </em>

<em>a. What are the null and alternative hypotheses? </em>

To test if there is a linear correlation between the court income and the justice salary, you have to use the following hypotheses:

H₀: ρ = 0

H₁: ρ ≠ 0

<em>b. Construct a scatterplot.  </em>See attachment.

<em>c. The linear correlation coefficient r is: _____. </em>

r= \frac{sumX_1X_2-\frac{(sumX_1)(sumX_2)}{n} }{\sqrt{[sumX_1^2-\frac{(sumX_1)^2}{n} ][sumX_2^2-\frac{(sumX_2)^2}{n} ]} }

n= 9; ∑X₁= 3992; ∑X₁²= 4078308; ∑X₂= 409; ∑X₂²= 2232; ∑X₁X₂= 262123

r= 0.86

<em>d. The P value is: _____. </em>

This test is two-tailed and so is its p-value. I've calculated it using a statistics software:

p-value: 0.0027

<em>e. Based on the results, does it appear that justices might profit by levying larger fines?</em>

Using the p-value approach, the decision rule is:

If the p-value ≤ α, reject the null hypothesis.

If the p-value > α, do not reject the null hypothesis.

The calculated p-value is less than the significance level, then the decision is to reject the null hypothesis.

At a 5% significance level you can conclude that there is a linear correlation between the "court income" and the "Justice salary"

I hope this helps!

6 0
3 years ago
What numbers add up to -5 and multiply to get -90
Molodets [167]
Let
x-------> the first number
y-------> the second number

we know that

x+y=-5 \\ x=-5-y equation 1

x*y=-90 equation 2

substitute the equation 1 in equation 2

[-5-y]*y=-90 \\ -5y- y^{2} =-90 \\ y^{2} +5y-90=0

using a graphical tool to resolve the second order equation
see the attached figure
the numbers are
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7.311

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3 years ago
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Identifying Rigid Transformations
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Answer:

Rotation and Translation

Step-by-step explanation:

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2 years ago
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What is the perimeter of a rectangle that is 2m 10cm by 45cm?
Amiraneli [1.4K]
P=2l+2w\\&#10;l=2\text{ m }10\text{ cm}=210 \text{ cm}\\&#10;w=45\text{ cm}\\\\&#10;P=2\cdot210+2\cdot45\\&#10;P=420+90\\&#10;P=510 \text{ cm}
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Given that the measure of ∠x is 149°, and the measure of ∠y is 110°, find the measure of ∠z.
Rom4ik [11]

Answer:

∠z is 79°

Step-by-step explanation:

8 0
2 years ago
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