Answer: −1.409
Step-by-step explanation:
Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013
Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118
Probability of other draw: 1 - 0.013 - 0.118 = 0.869
0.013 * (50 - 5) = 0.585
0.118 * (25 - 5) = 2.353
0.869 * (0 - 5) = -4.347
Expected value: 0.585+ 2.353 - 4.347 = -1.409
 
        
             
        
        
        
Answer:
Option C, 1225
Step-by-step explanation:
y=4.009x-77.531
selling 325 pizzas, so x=325, now putting the value of x in the equation,
y=4.009×325-77.531
or, y=1225.394
y = 1225.394, which is the profit, if we approximate it to the nearest value, it's $1225
 
        
             
        
        
        
We know that
total toppings=15
<span>meat toppings=5
</span>
<span>The first person has a 
5/15 chance of getting a meat topping. 
The second person has a 
4/14 chance because there are no repeats, 
The third person would have a 
3/13 chance. 
Since there are three multiply
5/15 * 4/14 * 3/13.=60/2730
</span>60/2730-------> divide by 30 both members------> 2/91
the answer is
2/91
        
             
        
        
        
Answer:
(a) 2 degree celsius per hour
(b) 3 degree celsius per hour.
Step-by-step explanation:
From the question,
(a) Avearge rate of rise in temperature per hour(T') = Rise in temperature(T)/Time required for the rise(t).
T' = T/t.................... Euqation 1
Rise in temperature (T) = 4 degree celsius, t = 10.00 am to noon = 2 hours.
Substitute into equation 1
T' = 4/2
T' = 2 degree celsius per hour.
(b) Also,
Average rate of fall in temperature per hour (T') = Fall in temperature (T)/Time(t)
T' = T/t
Given: T = 6 degree celsius, t = 3:00 pm to 5:00 pm = 2 hours
T' = 6/2
T' = 3 degree celsius per hour
 
        
             
        
        
        
1. 7 : 07
2. 9 : 45
3. 6
4. 2 : 25
5. 8
6. 17