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3 years ago

1. In a laundry sink, the hot water tap lets out 3 litres of water every minute. The cold water tap lets

Mathematics

2 answers:

arsen [322]3 years ago

7 0

Even numbers
2,4,6,8,10 etc.
answer is 6

siniylev [52]3 years ago

4 0

Answer:

It would take 6 minutes for the sink to be completely emptied.

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

HELP!!!! Position and label the triangle on the coordinate plane

Darya [45]

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

4 0

3 years ago

A submersible vessel at an elevation of -95 feet descends to 5 times that elevation. What is the vessel's new elevation?

trasher [3.6K]

-475
you multiply -95 by 5

6 0

3 years ago

For every 3 kiwis there are 4

MArishka [77]

Answer:

Ratio of 3/4 I think

Step-by-step explanation:

Because you said for every 3 kiwis there are 4 of something so you would take the number of kiwis over the other number.

4 0

3 years ago

In a quality control test of parts manufactured at Dabco Corporation, an engineer sampled parts produced on the first, second, a

sammy [17]

Answer:

p value = 0.0174

Conclusion : we reject the null hypothesis

Step-by-step explanation:

Thinking step:

We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of $\alpha = 0.05$

Assumption : all the population for each or the three shifts is not equal.

Calculation:

Let p₁ be the sample of the first shift

p₂ be the sample of the second shift

p₃ be the sample of the third shift

According to the null hypothesis

H₀ = p₁ = p₂ = p₃

In other words, all the population sample proportions are equal.

Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃

Tabulating and performing the $\chi$ ² test gives 8.10

degrees of freedom:

df = k - 1

= 3 - 1 = 2

Thus the degree of freedom is 2

Solving using the MINITAB software gives: p = 0.174

The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤ $\alpha$ ≤0.05

Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.

5 0

3 years ago