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melamori03 [73]
3 years ago
8

Denver gets 5/19 of the dog food.

Mathematics
1 answer:
natka813 [3]3 years ago
4 0

Answer:

Fido have \frac{42}{95} of the dog food (44.211 %), Engle have \frac{28}{95} of the dog food (29.474 %) and Denver have \frac{5}{19} of the dog food (26.316 %).

Step-by-step explanation:

If Denver gets \frac{5}{19} of the dog food, then Engle and Fido share \frac{14}{19} of the dog food. If Fido have x of the dog food, then Engle have \frac{4}{3}\cdot x such that:

x + \frac{4}{3}\cdot x = \frac{14}{19}

\frac{5}{3}\cdot x = \frac{14}{19}

x = \frac{42}{95}

Fido have \frac{42}{95} of the dog food (44.211 %), Engle have \frac{28}{95} of the dog food (29.474 %) and Denver have \frac{5}{19} of the dog food (26.316 %).

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3 years ago
The results of a swim <br> Wet are shown. Who swam faster explain your reasoning
kolbaska11 [484]

Answer:

The Susana swam the fastest.

Step-by-step explanation:

<u>Speed</u> : It is defined as the distance traveled per unit time.

<u>Formula used</u> : Speed = \frac{Distance}{Time}

First we have to determine speed of the following persons.

<u>For Tawni :</u>

Distance = 50 m

Time = 40.8 s

1.225 m/s which is the speed of Tawni.

--

<u>For Pepita :</u>

Distance = 100 m

Time = 60.2 s

1.661 m/s which is the speed of Pepita

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<u>For Susana :</u>

Distance = 200 m

Time = 112.4 s

1.779 m/s which is the speed of Susana

From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.

Thus, Susana swam the fastest.

7 0
3 years ago
If we wanted to prove quadrilateral MNOP was a parallelogram, which method below would not work?
rjkz [21]

Answer:

The correct option is 4.

4) Doing two distance formulas to show that adjacent sides are not the same length.

Step-by-step explanation:

Parallelogram is a quadrilateral which has opposite sides equals and parallel. Example of a parallelogram are rhombus, rectangle, square etc.

We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.

However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.

7 0
3 years ago
Express the confidence interval (0.036, 0.086) in the form of p-e&lt; p
lina2011 [118]

Answer:

p-e< p < p+e

(0.061 - 0.025) < 0.061 < (0.061 + 0.025)

0.036 < 0.061 < 0.086

Step-by-step explanation:

Given;

Confidence interval CI = (a,b) = (0.036, 0.086)

Lower bound a = 0.036

Upper bound b = 0.086

To express in the form;

p-e< p < p+e

Where;

p = mean Proportion

and

e = margin of error

The mean p =( lower bound + higher bound)/2

p = (a+b)/2

Substituting the values;

p = (0.036+0.086)/2

Mean Proportion p = 0.061

The margin of error e = (b-a)/2

Substituting the given values;

e = (0.086-0.036)/2

e = 0.025

Re-writing in the stated form, with p = 0.061 and e = 0.025

p-e< p < p+e

(0.061 - 0.025) < 0.061 < (0.061 + 0.025)

0.036 < 0.061 < 0.086

6 0
3 years ago
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goldfiish [28.3K]

Answer:

1/4^2 (The first one)

Step-by-step explanation:

6 0
3 years ago
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