Answer:
they can get at most 6 drinks
Step-by-step explanation:
5 (17.5) + 2x ≤100
87.5 + 2x≤100
2x≤ 12.5
x≤6.25
Answer:
8
Step-by-step explanation:
Given the equation 1/4 (16 + 12x) = 28, to solve this first we open the bracket using the distributive property. According to this property, given A, B and C then:
A(B+C ) = AB+AC
Step 1:
1/4 (16 + 12x) = 28
= 1/4(16)+1/4(12x) = 28
= 4+3x = 28
Step 2:
We move 4 to the other side to have:
3x = 28-4
3x = 24
Step 3:
Divide both sides by 3 to have,:
3x/3 = 24/3
x = 8
The answer is 8
825. That is what 0.825 represents.
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Answer:
a) P(X<50)=0.9827
b) P(X>47)=0.4321
c) P(-1.5<z<1.5)=0.8664
Step-by-step explanation:
We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.
a) This means we have to calculate P(x<50).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

b) We have to calculatee P(x>47).
We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

Answer:
Kindly check explanation
Step-by-step explanation:
Given the data below:
Time, t (hours)__1.0__1.5__2.0__2.5__3.0
C(t) (mg/mL)__0.35_0.26_0.20_0.14_0.09
Average change of C with respect to t over the interval :
(i) [1.0, 2.0] (ii) [1.5, 2.0] (iii) [2.0, 2.5] (iv) [2.0, 3.0]
Average change = ( change in C / change in t) = C2 - C1 / t2 - t1
1) [1.0, 2.0]
C at t = 1 = 0.35 ; C at t = 2 = 0.20
(0.20 - 0.35) / (2 - 1) = - 0.15 / 1 = - 0.15 mg/mL hr
11) [1.5, 2.0]
(0.20 - 0.26) / (2.0 - 1.5) = - 0.06 / 0.5 = - 0.12 mg/mL hr
111) [2.0, 2.5]
(0.14 - 0.20) / (2.5 - 2.0) = - 0.06 / 0.5 = - 0.12mg/mL hr
iv) [2.0, 3.0]
(0.09 - 0.20) / (3.0 - 2.0) = - 0.11 / 1.0 = - 0.11 mg/mL hr