A farmer wants to plant peas and carrots on no more than 200 acres of his farm. If x represents the number of acres of peas and
2 answers:
Answer:
Option D.(60, 135)
Step-by-step explanation:
Let
x -----> the number of acres of peas
y ----> the number of acres of carrots
we know that
The inequality that represent the problem is equal to
so
<em>Verify each case</em>
case A) (-50,160)
substitute the value of x and the value of y in the inequality and then compare the result
----> is true
The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number
case B) (80,160)
substitute the value of x and the value of y in the inequality and then compare the result
----> is not true
therefore
The point is not a solution
case C) (75,-200)
substitute the value of x and the value of y in the inequality and then compare the result
----> is true
The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number
case D) (60,135)
substitute the value of x and the value of y in the inequality and then compare the result
----> is true
therefore
The point is a viable solution
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Given:
Seventy cards are numbered 1 through 70, one number per card. One card is randomly selected from the deck.
To find:
The probability that the number drawn is a multiple of 3 and a multiple of 5.
Solution:
Total number from 1 to 70 = 70
Multiple of 3 from 1 to 70 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69.
Multiple of 5 from 1 to 70 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70.
Numbers which are multiply of both number 3 and 5 = 15, 30, 45, 60
Number of favorable outcomes = 4
Therefore, the required probability is .
Answer:
Step-by-step explanation:
Hello!
The high school dropout rate, as a percentage of 16- through 24- year-olds who are not enrolled in school and have not earned a high school credential was is 2009 8.1%.
To thest the claim that this percentage has decreased, a polling company takes a random sample of 1000 people between the ages of 16 and 24 and finds out that 6.5% of them are highschool dropouts.
The study variable is
X: Number of individuals with age between 16 and 24 years old that are highschool dropouts.
The parameter of interest is the proportion fo highschool dropouts p
And the sample proportion is p'= 0.065
The hypotheses are:
H₀: p ≥ 0.081
H₁: p < 0.081
To study the population proportion, you have to approximate the distribution of the sampling proportion to normal applying the Central Limit Theorem, then the statistic to use is an approximate standard normal:
I hope this helps!