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Anna35 [415]
3 years ago
6

the wilsons back yard is rectangular plot that has a length of 100 feet and a width of 80 feet .the family planted a garden with

a length and width of 60 feet. the family planted the lawn in the remaining area of the back yard . what is the area in square feet
Mathematics
1 answer:
Irina-Kira [14]3 years ago
8 0

the area in square feet is 4400. (because to find the area of the rectangle you multiply the 2 side lengths, 100 and 80 which gives you 8000, then you find the area of the square, multiply 60 by 60 which is 3600, then you subtract the total area of the backyard by the area taken up by the garden, 8000-3600, which gives you your total of 4400.)

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If the tank is then field to capacity how many half-gallon bottles how many cords will it make?
lukranit [14]

Answer:

Divide 12 by 4 first to figure out how many gallons are in each 1/4 of the tank. 

12/4=3

So if I added another 1/4 to the capacity:

It could hold 15 gallons. 

All you have to do to find how many half bottles can be filled is to times 15 by two since we are filling half gallon bottles.

15x2=30

30 bottles.

6 0
3 years ago
What is the simplified form of the following expression? <br><br> ^3sqrt(4x/5)
Vladimir [108]

Answer:

= (∛(100x))/5

Step-by-step explanation:

Given the expression; ∛(4x/5)

To simplify this we need to make denominator a perfect cube.

So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.

∛(4x/5) = ∛((4x/5)×(25/25))

            = ∛(100x/125)

            = ∛(100x/5³)

            <u>= (∛100x)/5</u>

7 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 \chi² 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
Solve the inequality and enter your solution as an inequality comparing the variable to the solution in the box below. 18 + x &g
storchak [24]

<em><u>Hi there! :)</u></em>

<em><u>Answer:</u></em>

<em><u>x>24</u></em>

<em><u>*The answer must have a positive sign and greater than symbol sign.*</u></em>

<em><u>Step-by-step explanation:</u></em>

First, you switch sides.

x+18>42

Then, you subtract by 18 from both sides of an equation.

x+18-18>42-18

Finally, you subtract by the numbers from left to right.

42-18=24

<u><em>Final answer is x>24</em></u>

I hope this helps you!

Have a nice day! :)

-Charlie

:D

7 0
3 years ago
Consider the natural numbers from 1 to 25. Write the prime numbers between 1 to 25. What fractions of these natural numbers are
Len [333]

Step-by-step explanation:

Natural numbers are numbers that include positive integers.

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

Prime numbers are numbers that are greater than 1 and has only two factors

2,3,5,7,11,13,17,19,23

What Fractions of natural number are prime number?

9/25

3 0
3 years ago
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