Answer:
2x-3 = 29
8x = 128
x+7 = 23
Step-by-step explanation:
The sum of the angles of a triangle is 180
2x-3 + 8x+ x+7 = 180
Combine like terms
11x+4 = 180
Subtract 4 from each side
11x+4-4= 180-4
11x = 176
Divide by 11
11x/11 =176/11
x =16
2x-3 = 2*16-3 =32-3 = 29
8x = 8*16 =128
x+7 = 16+7 = 23
A. The independent variable is time, as time is manipulating the value of her salary.
b. The dependent variable is her cost because what she charges for babysitting depends on how long she works.
c. y = 8x
y = how much she charges for this job
8 = the amount she charges per hour
x = number of hours babysat
Answer:
Step-by-step explanation:
a) The standard deviation is usually preferred over the range because it is calculated from all of the data and will not be impacted as much as the range when they are outliers,and the standard deviation uses all of the data.
b)The IQR sometimes referred to the standard deviation when there is an outlier because the IQR is less sensitive to this features than standard deviation.
that is the IQR is not affected by an outlier,while the standard deviation is affected by an outlier.
c)The advantage of the standard deviation over the IQR is the standard deviation takes into account the values of all observation,while the IQR uses only some of the data.
Answer:
9 < x
Step-by-step explanation:
5x - 47< 3(12x - 108) – 2
Distribute
5x - 47< 36x - 324 – 2
Combine like terms
5x - 47< 36x-326
Subtract 5x from each side
5x-5x - 47< 36x-5x-326
- 47< 31x-326
Add 326 to each side
326 - 47< 31x-326+326
279 < 31x
Divide by 31 on each side
279/31 < 31x/31
9 < x
