Answer:
Devin will need 9 cubes of wax.
Step-by-step explanation:
To find the volume of the pyramid, you use (area of the base)* height of the pyramid divided by 3. You know the volume of a cube of wax is 32 cm^3. The volume of your pyramid is 270 cm^3. 270/32=8.4375.
Once you get 8.4375 cubes, you round to the next whole number, which is nine.
Answer:
P(a junior or a senior)=1
Step-by-step explanation:
The formula of the probability is given by:
P (AB) = P(A)
Where P(A) is the probability of occurring an event A, n(A) is the number of favorable outcomes and N is the total number of outcomes.
In this case, N is the total number of the students of statistics class.
N=18+10=28
The probability of the union of two mutually exclusive events is given by:
Therefore:
P(a junior or a senior) =P(a junior)+P(a senior)
Because a student is a junior or a senior, not both.
n(a junior)=18
n(a senior)=10
P(a junior)=18/28
P(a senior) = 10/28
P(a junior or a senior) = 18/28 + 10/28
Solving the sum of the fractions:
P(a junior or a senior) = 28/28 = 1
Answer:
A.
Step-by-step explanation:
-3x-7y = 10
In slope - intercept form
y = -3/7x - 10/7
Since the lines are parallel so the slopes will be equal
m = -3/7
Now
Point = (x,y) = (-5,-3)
So, x = -5, y = -3
Putting in slope intercept form to find b
y = mx+b
-3 = (-3/7)(-5) + b
-3 = 15/7 + b
7b = -21-15
7b = -36
b = -36/7
Now the slope intercept form for the line is
y = -3/7x-36/7
The vertex of the absolute value function f(x) = |x| is (0,0).
What about <span>f(x)=-|x+2|-2? This can be re-written as f(x) = -|x-(-2)| -2.
Three things happen here: first, the graph of f(x) = |x| must be inverted, so that it opens down instead of up; second, the resulting graph must be translated 2 units to the left; and third, the resulting graph must be translated 2 units down.
</span>
The definition of sin is the opposite/hypotnuse and since the hypotnuse has to be greater or equal to the other sides, the maximum possible value of sine is 1.
