Answer: 1. 0.0256
2. 0.4096
Step-by-step explanation:
Binomial probability formula , to find the probability of getting x successes:
, where n= Total number of trials
p= Probability of getting success in each trial.
Let x be the number of customers will make purchase.
As per given , we have
p= 0.20
n= 4
1. The probability that 3 of the next 4 customers will make a purchase will be:-
![P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]](https://tex.z-dn.net/?f=P%28x%3D3%29%3D%284%29%280.20%29%5E3%280.80%29%5E%7B1%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7Bn-1%7D%3Dn%5D)
Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256
2. The probability that none of the next 4 customers will make a purchase will be :
![P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]](https://tex.z-dn.net/?f=P%28x%3D0%29%3D%281%29%280.80%29%5E%7B4%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7B0%7D%3D1%5D)
Hence, the probability that none of the next 4 customers will make a purchase= 0.4096
Simply multiply 4 for the terms in the parenthesis
4x-4
Answer:
x = 11 units
Step-by-step explanation:
Area of triangle = (base + base 2) * h *1/2
so (7 + x )* 7 * 1/2 = 63
63 x 2 = 126
126 / 7 = 18
18-7 = x
x = 11
Check
(7+11)* 7 * 1/2
18* 7 = 126
126 x 0.5 = 63
CORRECT!
(p.s., tell me if wrong :P)
Answer:
hello your question is incomplete attached below is the complete question
answer :
<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>
Step-by-step explanation:
<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>
time = distance / rate
where distance can be calculated using this equation: sin 53° = 400 / x
hence x ( distance ) = 500 ft
rate = 150
therefore Time ( t ) to reach boat = 500 / 150 = 3.33 minutes
Time for jogging ( as calculated ) = 3.69 minutes
therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes
<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>
lets assume Distance to swim = x ( according his sister )
determine the value of x = 
therefore X = 1456.02 feet
∴
Total time to be taken if Daniel follows his sister's instruction = 1456.02 / 150 = 9.71 minutes
<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>
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1.The correlation coefficient is close to B. 0.50
we can conclude that Amélie's cake sales are affected by the daily temperature. <span>A. Strongly</span>
