Hi,
To solve this problem, Let us take the LCM of 10 and 16 which will come 80.
Now suppose the cost price of 10 tables =₹n CP of 80 tables will be ₹ 8n
According to the question, CP of 10 tables is equal to the SP of 16 tables, then
the SP of 16 tables will also be ₹ n.
So, SP of 80 tables will be ₹ 5n
So, Loss = CP-SP
→ 8n - 5n = ₹ 3n
Loss%= (3n×100)/8n
Loss%= 37.5%.
Hence the correct answer will be a <u>loss of 37.5%.</u>
Answer:
Unit price of strawberries at Grocery Mart is $ 1.495 or 150 pennies
Unit price of strawberries at Baldwin Hills Market is $ 1.33 or 133 pennies.
Step-by-step explanation:
1 dollar = 100 pennies
Given:
Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99
Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99
∵ Cost of 2 pounds of strawberries at Grocery Mart = $ 2.99
∴ Cost of 1 pound of strawberries at Grocery Mart = 
∵ Cost of 3 pounds of strawberries at Baldwin Hills Market = $3.99
Cost of 1 pound of strawberries at Baldwin Hills Market = 
Therefore, the unit price of strawberries at each grocery store is the cost of 1 pound of strawberries. So, unit rate at Grocery Mart is 150 pennies and at Baldwin Hills Market is 133 pennies.
6y-5=11
Move -5 to the other side. Sign changes from -5 to +5.
6y-5+5=11+5
6y=11+5
6y=16
Divide by 6 for both sides to get y by itself.
6y/6=16/6
Cross out 6 and 6, divide by 6 and then becomes 1*1*y=y
y=16/6
Reduce 16/6 by dividing by 2
16/2=8
6/2=3
Answer: y=8/3 or y=2 2/3
Answer:
A
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
To find m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (- 1, - 1) ← 2 points on the line
m =
=
= 1
y = x ← is the equation of the line → A
Answer:
The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
Step-by-step explanation:
Let <em>X</em> = number of boards that fall outside the most rigid level of industry performance specifications.
In a random sample of 300 boards the number of defective boards was 12.
Compute the sample proportion of defective boards as follows:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

The critical value of <em>z</em> for 95% confidence level is,

*Use a <em>z</em>-table.
Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).