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ddd [48]
3 years ago
14

Solve -3(x-2)<8 or -3(x-2)>12

Mathematics
2 answers:
quester [9]3 years ago
7 0

Answer:

-3x+6>12

Step-by-step explanation:

simple board maths

nadezda [96]3 years ago
3 0

Answer:

-3(x-2)<8 = x > -2/3

-3(x-2)>12 = x < -2

Step-by-step explanation:

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Identify all rays and lines in the picture below.<br> (Full question above)
Arte-miy333 [17]

Answer:

\bold{Rays:}\ \overrightarrow{EA},\ \overrightarrow{EB},\ \overrightarrow{EC},\ \overrightarrow{ED},\ \overrightarrow{DE},\ \overrightarrow{BE}\\\\\bold{Lines:}\ \overleftrightarrow{ED},\ \overleftrightarrow{BE}

Step-by-step explanation:

Look at the picture.

4 0
3 years ago
A survey of 25 randomly selected customers found the ages shown (in years). The mean is 32.64 years and the standard deviation i
____ [38]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

Assuming that conditions have been met for the interval, we use the formula \displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}} where \bar{x} represents the sample mean, t represents the critical value, s represents the sample standard deviation, and n is the sample size.

The critical value of t for an 80% confidence level with degrees of freedom df=n-1=25-1=24 is equivalent to t=1.317836

Thus, we can compute the confidence interval:

\displaystyle CI=\bar{x}\pm t\frac{s}{\sqrt{n}}\\\\CI=32.64\pm1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\\\\CI\approx\{30.17,35.11\}

Therefore, we are 80% confident that the true mean age of all customers is between 30.17 and 35.11 years.

<u>Part B</u>

The margin of error is \displaystyle t\frac{s}{\sqrt{n}}=1.317836\biggr(\frac{9.39}{\sqrt{25}}\biggr)\approx2.47

6 0
2 years ago
Solve the problems from 4-6
lara31 [8.8K]

4. B

5. B

6. D

Step-by-step explanation:

4. The radius is 3 units (3 boxes). So you do pi*r^2 = 3.14*9

5. You want the area of the box minus the area of the two circles.

Height of the box is 8 (bottom of circle to the top is two times the radius). Width of the box is 16 (left end of the left circle to the right end of the right circle) so 4 times the radius of the circles. Area of box is 128

Area of each circle is 3.14*(16). So you do 128 - 2*3.14*16.

6. Just plug in the radius 9 to the area of a circle formula: pi*radius^2 = 81*pi

4 0
3 years ago
Write the equation of the line in fully simplified slope Intercept form.
andre [41]

Answer:

y = -0.83x - 2

Step-by-step explanation:

Slope intercept form is y = mx+b.

M is the slope: In this case the slope (rise/run) is 10/12. However, the slope is decreasing is that would make it negative.

Now we have: y = -0.83x + b

B represents the y-intercept. The y-intercept here is -2. So our final equation is:

y = -0.83x - 2

8 0
3 years ago
Find the area and perimeter of this compound shape. Explain.
kogti [31]

Answer:

area = 232.5

perimeter=71.243

6 0
2 years ago
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