Mark can make 303,030 birthday cakes.
Answer:
x = 19.5, RQS=43
Step-by-step explanation:
It is important to note that RQS and TQS are supplementary, meaning their angles will add up to 180. Knowing this, we can create and solve the equation to find x..
(2x+4) + (6x+20) = 180
8x + 24 = 180
8x = 156
x = 19.5
Now that we know the value of x, we can substitute it into the equation for RQS, 2x+4.
2(19.5)+4
39+4
43
Hope this helped!
Answer:
2
Step-by-step explanation:
Slope formula is the difference of the y values divided by the difference of x values. Choose to points. I chose (-2,-1) and (0,3). 3-(-1) is equal to 4. 0-(-2) is equal to 2. 4 divided by 2 is two.
S = r·α is the formula to find the arc length (s), given the radius (r), and angle measure (α) in radians.
If the angle measure is NOT given in radians you must convert to radians.
s = 8 · 2.6
s = 20.8 in
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL
a) For x < 210:

From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001
b) For x > 205:

For x < 215:

P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009
c) For x < 200:

From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001
d) For x > 222:

From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999