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A survey of 500 citizens of a large country revealed that 70 of them believe the government's highest priority should be foreign
1 answer:
Answer:
Step-by-step explanation:
No of citizens participated in the survey =n =500
No of people who believe the government's highest priority should be foreign relations.=70
Sample proportion = p =
q = 1-p = 1-0.14 = 0.86
Std error of proportion=
Concept used:Sample proportion p follows a normal distribution with mean =p and std error = sq rt pq/n
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Answer:
The number of tomatoes must be less than 40.
Step-by-step explanation:
Stephanie and Bryson both grow tomatoes to sell at farmers' markets. Stephanie grew a total of 70 pounds of tomatoes to sell. She plans to sell the tomatoes for $3.50 per pound. The equation below represents the profit in dollars, f(x), she will earn by selling x pounds of the tomatoes.
f(x) = 3.50x -110
Bryson plans to sell his tomatoes at a different farmers' market. He grew a total of 90 pounds of tomatoes.
The table below shows the profit, in dollars, he will earn by selling different numbers of pounds of
tomatoes.
Bryson's Tomato Sales
-97.50 -55.00 -12.50 30,00
Profit (dollars)
Pounds of
Tomatoes Sold
10
20
30
40
Solution:
For Stephanie, let x represent the number tomatoes sold and f(x) represent the profit in dollars. The profit is given by:
f(x) = 3.5x - 110
For Bryson, let x represent the number tomatoes sold and y represent the profit in dollars. From the table, the profit can be represented by the points (10, -97.5) and (40, 30). The profit can be gotten using the formula:
Stephanie profit > Bryson profit
3.5x - 110 > 4.25x - 140
3.5x - 4.25x > -140 + 110
-0.75x > -30
x < 40