There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.
Answer:
12 is the answer.
Step-by-step explanation:
The best way to get the roots of the equation is to factorize the equation but when the factors are not possible then we should apply the quadratic equations formula to get the value of x.
Now we will try to factorize
x² - 8x -48 = 0
Now we multiply coefficient of highest degree term and constant term
48×1 = 48 which may be factored in 12×4. 8×6, 24×2.
Now we will choose 12×4 out of three because the 12-4 = 8 which is the coefficient of x.
Now its simple.
x²-12x + 4x -48 = 0
x(x -12) + 4(x-12) = 0
(x +4)(x-12) = 0
Therefore roots are x + 4 = 0
x = -4
and x - 12 = 0
x = 12
So the answer is 12.
Answer:
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
The given is:
1. An electrician earns 100 dollars for a project installing light fixtures
2. She must pay for the light fixtures herself and they cost 2 dollars
and 50 cents each
3. x represent the number of light fixtures and y represent her
total profit
Her profit is the amount of money she has left over after paying for
the light fixtures
∵ The cost of each light fixtures is 2 dollars and 50 cents
- Let us change the cents to dollar
∵ $1 = 100 cents
∴ 50 cents = dollar
∴ 2 dollars and 50 cents = $2.5
∵ Her profit = The money she earns - The money she pays
∴ The cost of each light fixtures = $2.5
∵ She installs x light fixtures
∴ She pays 2.5 x dollar
∵ She earns $ 100 for installing x light fixtures
∵ Her profit is $y
∴ y = 100 - 2.5 x
y = 100 - 2.5 x is the equation that represents her total profit from
the project
Step-by-step explanation:
Answer:
Their will be enough water for each student to consume 2 cups of water.
Step-by-step explanation:
Grade 3, 4 and 5 have their annual field day together . Each grade level is given 16 gallons of water. This means the three grades have 16 × 3 = 48 gallons of water.
The total students involved is 350 student. The total student is the sum of the student in all three grades.
Since the water will be distributed to the students in cups let us convert gallons to cups.
1 gallons = 16 cups
48 gallons = ? cups
cross multiply
48 × 16 = 768 cups.
768 cups of water is available to be shared among the 350 students.
1 student is entitled to 2 cups of water.
350 students will consume 350 × 2 = 700 cups of water.
Therefore, their will be enough water for each student to consume 2 cups of water.
Use formula
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there are two more solutions:
1.
2.
