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Nostrana [21]
2 years ago
15

Does anyone know the correct equation?

Mathematics
1 answer:
marysya [2.9K]2 years ago
7 0
\bold{ANSWER:}
y = 6x + 4

\bold{EXPLANATIONS:}

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Address the following question: In a different city, if the landfill volume required per year is 300,000 m3, and the average fil
Brilliant_brown [7]

Answer:

A=20,000 m2 per year

Step-by-step explanation:

we have that Volume (V) =300,000 m3, so V=A*h, where A=area (m2) and h=15m

V=A*h ⇒ 300,000m3=A*15m ⇒ A=300,000m3/15m ⇒ A=20,000 m2

7 0
3 years ago
Simplify<br> x² - 7x - 30<br> x² + 5x + 6
Elden [556K]

Answer:

(X+3)(x-10)

(X+3)(X+2)

6 0
2 years ago
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are list
Kitty [74]

Answer:

It does not appear ​that, as a​ group, the students are reasonably good at estimating one minute.

Step-by-step explanation:

We are given the following data in the question:

75, 88, 51, 73, 49, 31, 69, 74, 72, 59, 72, 81, 99, 101, 73

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1067}{15} = 71.13

Sum of squares of differences = 4739.733

S.D = \sqrt{\frac{4739.733}{14}} = 18.39

Population mean, μ = 60 minutes

Sample mean, \bar{x} = 71.13 minutes

Sample size, n = 15

Alpha, α = 0.10

Sample standard deviation, s = 18.39 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu = 60\text{ minutes}\\H_A: \mu \neq 60\text{ minutes}

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{71.13 - 60}{\frac{18.39}{\sqrt{15}} } = 2.34

Calculating the p-value from the table, we have,

P-value = 0.034354

Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, we conclude that it does not appear ​that, as a​ group, the students are reasonably good at estimating one minute.

7 0
3 years ago
A cone has volume 12pie cubic inches. Its height is 4 inches. What is its radius?
stepan [7]

Answer:

r = 3

Step-by-step explanation:

The formula of a volume of a cone

V= 1/3 pie r^2 H

r - radius

H - height

We have V = 12π in³ and H = 4 in. Substitute:

4 0
3 years ago
Which mathematical property is demonstrated 40•(25•74) = (40•25)•74
Sindrei [870]
The mathematical property that allows 40 * (25 * 74) = (40 * 25) * 74 would be the Associative Property of Addition and Multiplication. This property means that no matter how the values of an expression are grouped together (or "associating" with each other), the end result will be the same, as long as the symbols are all either multiplication or addition symbols.
Hope that helped =)
6 0
3 years ago
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