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Dominik [7]
2 years ago
9

Select from the drop-down menus to correctly complete each statement. 17.2 is 17.2 units to the ____ of zero on a number line. T

he opposite of 17.2 is 17.2 units to the ____ of zero on a number line.
Mathematics
2 answers:
Eduardwww [97]2 years ago
5 0

Answer:

The answer is 17.2 is 17.2 units to the RIGHT of zero on a number line. The opposite of 17.2 is 17.2 units to the LEFT of zero on a number line. If you didn't understand the other answer

Fudgin [204]2 years ago
3 0
Hello!

The number line progresses from negative infinity (extreme left) to positive infinity (extreme right). Beginning at zero, the numbers increase in value as they move to the right and decrease in value as they move to the left.

With this knowledge, we can look at the number 17.2 (a positive number) and conclude that it is placed 17.2 units to the right of zero on the number line.

The opposite of 17.2 would be (-17.2). Again, looking at this number (a negative number), we can conclude that it is placed 17.2 units to the left of zero on the number line.

I hope this helps!
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When writing a number in scientific notation, if you move the decimal point to the left 3 places, then you must _____. multiply
Naddika [18.5K]

Answer:

Multiply by 10.

Step-by-step explanation:

When writing a number in scientific notation, if you move the decimal point to the left 3 places, then you must multiply by 10.

6 0
2 years ago
Add or subtract mentally 16.9+ 12.1
saul85 [17]
When you add it mentally you'd get 29
When you subtract it mentally you'd get 4.8
7 0
2 years ago
Read 2 more answers
By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50
olchik [2.2K]
Well, let's say the numbers are "a" and "b"

so a * b = ab

ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

now let's reduce "b" by 50%, that means the new size is 50% or half,  how much is 50% of b? well (50/100)*b, or 0.5b

\bf \begin{cases}
a\cdot b\implies  ab\\
0.75a\cdot 0.5b\\
\qquad 0.75\cdot 0.5ab\\
\qquad 0.375ab
\end{cases}

now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100

0.375 * 100, is 37.5%

the new size of "ab" is just 37.5% of the original "ab"

it decreased by 100 - 37.5 or 62.5%
5 0
3 years ago
4x^2 /9xy^3 divided by 12x^5y^4 / 18x^5y2
Korolek [52]

Answer:

\frac{2x}{3y^5}

Step-by-step explanation:

See photo for steps.

8 0
3 years ago
I surveyed students in my Math II classes to see how many hours of television they watched the night before our big test on tria
Oduvanchick [21]
Given the table below representing the number of hours of television nine Math II class students watched the night before a big test on triangles along with the grades they each earned on that test.

\begin{center}
\begin{tabular}
{|c|c|}
Hours Spent Watching TV & Grade on Test (out of 100)  \\ [1ex]
4 & 71 \\ 
2 & 81 \\ 
4 & 62 \\ 
1 & 86 \\ 
3 & 77 \\ 
1 & 93 \\ 
2 & 84 \\ 
3 & 80 \\ 
2 & 85
\end{tabular}
\end{center}

Let the number the number of hours of television each of the students watched the night before the test be x while the grades they each earned on that test be y.

We use the following table to find the equation of the line of best fit of the regression analysis of the data.

\begin{center} \begin{tabular} {|c|c|c|c|} x & y & x^2 & xy \\ [1ex] 4 & 71 & 16 & 284 \\ 2 & 81 & 4 & 162 \\ 4 & 62 & 16 & 248 \\ 1 & 86 & 1 & 86 \\ 3 & 77 & 9 & 231 \\ 1 & 93 & 1 & 93 \\ 2 & 84 & 4 & 168 \\ 3 & 80 & 9 & 240 \\ 2 & 85 & 4 & 170 \\ [1ex]\Sigma x=22 & \Sigma y=719 & \Sigma x^2=64 & \Sigma xy=1,682 \end{tabular} \end{center}

Recall that the equation of the line of best fit of a regression analysis is given by
y=a+bx
where:
a= \frac{(\Sigma y)(\Sigma x^2)-(\Sigma x)(\Sigma xy)}{n(\Sigma x^2)-(\Sigma x)^2}
and
b= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{n(\Sigma x^2)-(\Sigma x)^2}

y=\frac{(719)(64)-(22)(1,682)}{9(64)-(22)^2}+\frac{9(1,682)-(22)(719)}{9(64)-(22)^2}x \\  \\ = \frac{46,016-37,004}{576-484} + \frac{15,138-15,818}{576-484} x \\  \\ = \frac{9,012}{92} + \frac{-680}{92} x \\  \\ =97.95-7.391x

Thus, the equation of the line of best fit is given by y = 97.95 - 7.391x

<span>A student that watched 1.5 hours of TV will have a score given by
y = 97.95 - 7.391(1.5) = 97.95 - 11.0865 = 86.8635

Therefore, </span><span>a student’s score if he/she watched 1.5 hours of TV to the nearest whole number is 87.</span>
6 0
3 years ago
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