The probability that the next customer will pay with cash is 0.76
<h3>What is the probability?</h3>
Formula to find the probability of an event is:
P(A) = n(A)/n(S)
where;
n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment/survey
We are given that;
45 customers paid cash
8 customers used a debit card
6 customers used a credit card.
Thus, the total number of customers:
n(S) = 45 + 8 + 6
n(S) = 59
Let event A be the event that the next customer will pay with cash. Thus, n(A) = 45
Therefore, the probability that the next customer will pay with cash would be;
P(A) = n(A)/n(S)
P(A) = 45/59
P(A) = 0.76
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Answer:
105 km
Step-by-step explanation:
Written as a proportion, the ratio of km to cm will be the same for both distances:
(x km)/(17.5 cm) = (15 km)/(2.5 cm)
x km = (15 km)(17.5/2.5) = 105 km
105 actual kilometers are represented by 17.5 cm on the map.
Answer: how much did the calculators cost seperetely dummy
Step-by-step explanation:
Put the first equation in slope-intercept form, or y = mx + b. Start by subtracting y from both sides.
2x - y = -10, subtract 2x from both sides.
-y = -10 - 2x
Divide both sides by negative one.
y = 10 + 2x
To find the slope when the equations are in slope-intercept form you look at the coefficient of x. The first equation has the slope of 2 (which we just found), and the second equation has the slope of -2.
Parallel lines have the same slope and perpendicular lines have opposite reciprocal slopes. Since 2 and -2 are neither of these, your answer is neither.
Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft
