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nata0808 [166]
3 years ago
13

Which inequality has the solution set shown in the graph below?

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

-7x≥-21

Solution:

-7x ≥ -21

÷-7    ÷-7

flip the sign when we divide by a negative number

x ≤ 3

≥ and ≤ mean closed dot

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An observational study determined that there is a strong correlation between eating breakfast and weight loss. Can it be determi
mylen [45]

A common misconception in statistics is confusing correlation with causation. If two events are correlated, it merely means that they share the same behaviour over time, but it doesn't imply in any way that those event are related by a common cause, or even worse, that one implies the other.

You can find several (even humorous) counter examples online. For example, if you plot the number of reported pirates assault against the global temperature in the last years, you'll se that temperature is rising (unfortunately...) while pirates are almost disappearing.

One could observe this strong negative correlation and claim that hotter climate has solved the pirate issue. Of course this is a joke, but it explains why you shouldn't confuse correlation with causation.

7 0
3 years ago
What is the area of the regular trapezoid below?<br> - 6 cm<br> T<br> 8 cm<br> 10 cm
Elenna [48]

Answer:

Area = 64 cm²

Step-by-step explanation:

To find the area, we have to follow some steps:

=> <u>Step 1: Make the bases similar:</u>

Since we have 2 bases given 6 and 10 we have to come up with a third base by finding their average:

(6 + 10) / 2

(16) / 2

8

So now that we know our base,

=><u> Our second step is to multiply the base we found by the height of the trapezoid:</u>

Area = common base * height

Area = 8 * 8

Area = 64 cm²

Hope this helps!

5 0
3 years ago
a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di
Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}

Thus, the total prototypes will cost around $60.75

7 0
1 year ago
What is the area of the rectangle? rectangle on a coordinate plane. rectangle has vertices at begin ordered pair 1 comma 3 end o
miv72 [106K]
<span>it is the letter b  because if you count closly you will see

</span>
7 0
3 years ago
PLEASEE HELP!! Find the area of the kite.
aev [14]

Answer:

9

Step-by-step explanation:

Area of kite is Area of triangles. Area is 6+3=9

6 0
3 years ago
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