The exact form is: w = -6/7
Answer:
The number sold at $12.50 is 25
The number sold at $9.50 is 62
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
x 12.50 + y 9.50=901.50
x+y= 87
Where
x= number of pottery pieces sold
y= number of pottery pieces sold at a decreased price
Multiplying the second equation by 9.50, and subtracting the second equation to the first equation:
12.50 x + 9.50y = 901.50
-
9.50 x+ 9.50 y= 826.5
__________________
3 x = 75
Solving for x
x =75/3
x = 25
Replacing x=25 on any equation:
x+y= 87
25+y =87
y=87-25
y= 62
Answer:
The smallest number is 88
Step-by-step explanation:
Let
x ----> the first consecutive even number
x+2 --->the second consecutive even number
we know that
The linear equation that represent this problem is given by

solve for x

so

therefore
The smallest number is 88
Answer:
0.2805
Step-by-step explanation:
Given that p = 20% = 0.2, n = 300.
The mean (μ) = np = 0.2 * 300 = 60
The standard deviation (σ) = 
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

For x = 57:

For x = 62:

From the normal distribution table, P(57 < x < 62) = P(-0.43 < z < 0.29) = P(z < 0.29) - P(z < -0.43) = 0.6141 - 0.3336 = 0.2805
Answer:
$63
Step-by-step explanation:
100-30=70%
0.7*90=63