Answer:
16% of students will complete the exam in less than 60 minutes
Step-by-step explanation:
The Empirical Rule(68-95-99.7) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 70
Standard deviation = 10
What percentage of students will complete the exam in less than 60 minutes
60 = 70-10
So 60 is one standard deviation below the mean
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean, that is, from 60 to 80 minutes. The other 100-68 = 32% is outside this interval. Since the normal distribution is symmetric, 16% of those are below 60 and 16% of those are above 80.
16% of students will complete the exam in less than 60 minutes
Answer: 8
Step-by-step explanation: In this problem,
we're asked to find f(-4) or the value of the function when x = -4.
To find the value of the function when x = -4,we simply plug in a -4 for
the x in our function and we have (-4)² + (-4) - 4 or 16 + -4 - 4 which is 8.
So f(-4) = 8.
Answer:
Step-by-step explanation:
Given a triangle with angles 60° and 60°. Let the third angle be represented by x, so that;
x + 60° + 60° = 
(sum of angle in a triangle)
x + 120 =
x = - 120
x = 60°
Thus, since the third angle of the triangle is 60°, then the triangle is an equilateral triangle. For an equilateral triangle, all sides are equal and all its angles are equal. So that the other sides of the triangle is 10 each.
<ABC ≅ <BAC ≅ < ACB ≅ 60°
AB = BC = AC = 10 cm
The required construction for the question is attached to this answer for more clarifications.
To solve for the mass of a substance is to simply get the
product of volume and density, that is:
mass = density * volume
So calculating for mass:
mass = (2.76 g / cm^3) * 6 cm^3
<span>mass = 16.56 g</span>
Answer:
the circumference is 9.42 cm
Step-by-step explanation:
3.14 · (3 cm)
c = 9.42 cm
hope this helps :-)
