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Mashutka [201]
3 years ago
5

Use the distributive property to remove the parentheses. -5(-6y - 3w + 2)

Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0

Answer:

−5(−6y−3w+2)

=(−5)(−6y+−3w+2)

=(−5)(−6y)+(−5)(−3w)+(−5)(2)

=30y+15w−10

=15w+30y−10

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12:05PM

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8 0
3 years ago
The table shows the heights of 40 students in a class.
Studentka2010 [4]

Answer:

Step-by-step explanation:

Hello!

a)

The given information is displayed in a frequency table, since the variable of interest "height of a student" is a continuous quantitative variable the possible values of height are arranged in class intervals.

To calculate the mean for data organized in this type of table you have to use the following formula:

X[bar]= (∑x'fi)/n

Where

x' represents the class mark of each class interval and is calculated as (Upper bond + Lower bond)/2

fi represents the observed frequency for each class

n is the total of observations, you can calculate it as ∑fi

<u>Class marks:</u>

x₁'= (120+124)/2= 122

x₂'= (124+128)/2= 126

x₃'= (128+132)/2= 130

x₄'= (132+136)/2= 134

x₅'= (136+140)/2= 138

Note: all class marks are always within the bonds of its class interval, and their difference is equal to the amplitude of the intervals.

n= 7 + 8 + 13 + 9 + 3= 40

X[bar]= (∑x'fi)/n= [(x₁'*f₁)+(x₂'*f₂)+(x₃'*f₃)+(x₄'*f₄)+(x₅'*f₅)]/n) = [(122*7)+(126*8)+(130*13)+(134*9)+(138*3)]/40= 129.3

The estimated average height is 129.3cm

b)

This average value is estimated because it wasn't calculated using the exact data measured from the 40 students.

The measurements are arranged in class intervals, so you know, for example, that 7 of the students measured sized between 120 and 124 cm (and so on with the rest of the intervals), but you do not know what values those measurements and thus estimated a  mean value within the interval to calculate the mean of the sample.

I hope this helps!

4 0
4 years ago
Which way do you move the decimal place in scientific notation depending on a positive or negative exponent?
Furkat [3]
If the exponent is negative move the decimal to the left if it's positive move to the right
7 0
3 years ago
On a piece of paper graph y ≤ - 2x. Then determine which answer matches the graph you drew ?
nataly862011 [7]

Answer:

hope it helps

Step-by-step explanation:

The given inequality is

The sign of inequality is ≤, it means the points on relation line lie in the solution set.

The related equation of the inequality is

At x=0,

At x=1,

Plot the points (0,0) and (1,-2) on a coordinate plane.

The sign of inequality is ≤, it means we have shade below the line.

The point (-2,4) and (3,-6) are in solution set because,

    (True)

     (True)

Therefore option A is correct.

The points (1,2) and (1,3) are not in the solution set because,

   (False)

  (False)

4 0
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