Carey earns c hourly
Anderson earns $6 hourly which is also 1+ c/2
So, 6=1+c/2
12=2+c
c=$10
<span>Carey earns $10 hourly</span>
Answer:
28.4
Step-by-step explanation:
Given that:
Mean, m = 31.3
Standard deviation, s = 2.8
Since, data is normally distributed :
P(x < 0.15) gives a Z value of - 1.036
Using the Zscore formula :
Z = (x - mean) / standard deviation
-1.036 = (x - 31.3) / 2.8
-1.036 * 2.8 = x - 31.3
-2.9008 = x - 31.3
-2.9008 + 31.3 = x
28.3992 = x
The temperature which correlates to the bottom 15% of the distribution is 28.4
Answer:
The scale reading that the chef need to see for this spice when preparing the specialty for 43 people is 0.86.
Step-by-step explanation:
In order to find the answer, you need to multiply the amount that the chef uses per serving for the number of servings. The statement indicates that the chef uses one- fiftieth of an ounce of a spice per serving and this is represented as 1/50 and you have to multiply this for 43 that is the number of people.
You can find 1/50 as a decimal dividing 1 by 50:
1/50=0.02
Now, you can multiply this value for 43:
0.02=43=0.86
According to this, the answer is that the scale reading that the chef need to see for this spice when preparing the specialty for 43 people is 0.86.
Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
