Answer:
or , -3a=14-8
or, -3a=6
or , a= 6/3
therefore, value of a= 2
Step-by-step explanation:
Answer:
x=27
Step-by-step explanation:
expanding the above expression we get
5x+5=4x+32
grouping numbers with coefficient of x at the left side and constant at the right side we get
5x-4x=32-5
x=27
Answer:
The 95% confidence interval for the population proportion is (0.778, 0.884).
Step-by-step explanation:
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.831.
The standard error of the proportion is:

The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 95% confidence interval for the population proportion is (0.778, 0.884).
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(1,1,0)Equation Form:x =1 ,y =1 ,z =0
Step-by-step explanation:
Answer:
$54.25
Step-by-step explanation:
4/5 yards of lace = $5.60
Price per yard = 5.60 ÷ 4/5
= 5.60 × 5/4
= 28 /4
= $7 per yard
The class decided to buy another 7 3/4 yd
Cost of 7 3/4 yd = cost per yard × number of yards
= $7 × 7 3/4
= $7 × 31/4
= 217 / 4
= $54.26
Cost of 7 3/4 yd = $54.25