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forsale [732]
4 years ago
11

A study of several cities shows a positive correlation between the percent of people late to work and the amount of pollution on

the roadways. Which statement is most likely true?
A. Pollution makes people late to work.
B. People who tend to be late make more pollution than those who tend to be on time
C.The correlation is due to a third variable: traffic.
D. The correlation is due to a third variable: cost of windshield wiper fluid.
Mathematics
1 answer:
Verdich [7]4 years ago
3 0
<span>In this instance, option C is the most likely cause of the correlation. Pollution rises as the number of vehicles in an area increases. In periods of high traffic, vehicles run longer. High traffic also causes time delays that increase tardiness of employees.</span>
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Match the base to the corresponding height.<br> Base (b)<br> Height (h)<br> b<br> b<br> h<br> b
antiseptic1488 [7]

Answer: See the diagram below

=================================================

Explanation:

The base is always perpendicular to the height, meaning the two form a 90 degree angle (aka right angle).

In column 1, refer to the figures as 1, 2 and 3 (working top to bottom).

In column 2, refer to the figures as A, B, C

Figure 1 matches with figure B

Figure 2 matches with figure C

Figure 3 matches with figure A.

These matches are of course the base with the proper height.

8 0
3 years ago
What numbers come next? 11, 14,17,20 A 24,28,32 B 23, 26,29 C 23, 27, 31 D25,30,35
ArbitrLikvidat [17]

Answer:

B

Step-by-step explanation:

The answer is B (23, 26, 29) because you are adding 3 after each step.

Hopes this helps.

4 0
3 years ago
Find two positive numbers satisfying the given requirements. the product is 242 and the sum is a minimum. (smaller value) (large
Pepsi [2]

The two positive numbers satisfying the given requirements are 15.56 and 15.56

For given question,

Let x and y be  two positive numbers satisfying the given requirements.

⇒ xy = 242             .............(1)

The sum of given two positive numbers is a minimum.

Let the sum of given two positive numbers is S.

⇒ x + y = S             ............(2)

From equation(1),

⇒ y = 242/x

Substitute above value of y in equation (2),

⇒ x + y = S  

⇒ S = x + (242 / x)    

Now, for above equation we find the derivative of x with respect to x.

⇒ 0 = 1 - \frac{242}{x^{2} }

⇒ 242/x² = 1

⇒ x² = 242

⇒ x = ±15.56

Since the numbers are positive, x = 15.56

For x = 15.56

⇒ y = 15.56

Therefore, the two positive numbers satisfying the given requirements are 15.56 and 15.56

Learn more about the equation here:

brainly.com/question/649785

#SPJ4

8 0
2 years ago
Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours. Then pumps Y and Z started working an
madam [21]

Answer:

The correct option is B) 12.

Step-by-step explanation:

Consider the provided information.

Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours.

As we know: rate =\dfrac{ work}{time},

The rate of pump X is \frac{\frac{1}{4}}{2} = \frac{1}{8}

\frac{1}{4} of the water is pumped out of the tank, that means only \frac{3}{4} is left to be pumped out.  

All 3 pumps pumped out the remaining \frac{3}{4} of the water out in 3 hours.

The combined rate of all three pumps is: \frac{\frac{3}{4}}{3} = \frac{1}{4}

Pump Y, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water.

The rate of pump Y = \frac{\frac{3}{4}}{18} = \frac{1}{24}

Let z is the time taken by pump Z, then the rate of pump Z is \frac{1}{z}.

Therefore,

\dfrac{1}{8}+\dfrac{1}{24}+\dfrac{1}{z}=\dfrac{1}{4}

Multiplying both sides by 24 z.

3z + z + 24 = 6z\\24 = 2z\\12 = z

Hence, the correct option is B) 12.

5 0
4 years ago
The equation πr²Gives the area,A of a circle with a radius,r,. Solve the function for π
max2010maxim [7]

The solution of the function for π is \pi =\frac{A}{r^{2}}

Step-by-step explanation:

The equation πr² gives the area A of a circle with a radius r

To Solve the function for π

  • Write the function
  • Keep π in one side and all other terms in other side by using any operation you need (+ , - , × , ÷)

∵ A = πr²

- You need to take r² from the right hand side to the left hand

   side to keep π in the right hand side alone

∵ r² is multiplied by π

∴ Divide both sides by r²

∴ \frac{A}{r^{2}}=\frac{\pi .r^{2}}{r^{2} }

∴ \frac{A}{r^{2}}=\pi

- Switch the two sides

∴ \pi =\frac{A}{r^{2}}

The solution of the function for π is \pi =\frac{A}{r^{2}}

Learn more:

You can learn more about the functions in brainly.com/question/8243712

#LearnwithBrainly

6 0
3 years ago
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