Answer:
11.8%
Step-by-step explanation:
Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.
Let p = probability of success = 30% = 30/100 = 0.3
q = probability of failure = 1-p = 1-0.3 = 0.7
Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.
That would be;
P(X = 0) = 6C0 p^0 q^6
6C0 is pronounced six combination zero
= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649
This is approximately 0.1176
If we convert this to percentage we have 11.76%
But we want our answer rounded to the nearest tenth of a percent and that is 11.8%
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.
Here is how to find the answer for this problem.
We know that the formula for getting the area of the rectangle is A = Length x Width. Given that the area is 37.5 inches squared and the length is 15 inches, let us just plug in the values. Let w be width.
35.7 in^2 = 15 in x w
Next, we divide both sides by 15 and this is the result
w = 2.5 inches.
Therefore, the answer would be 2.5 inches.
Hope this answer helps. Thanks for posting your question.
Answer:
x = 30.97 ( to nearest hundredth).
Step-by-step explanation:
5^x = 8^x-7
Taking logs of both sides:-
ln 5^x = ln 8^x
By the law of logarithms:-
x ln 5 = (x - 7) ln 8
x / (x - 7) = ln 8 / ln 5
x / (x - 7) = 1.292
x = 1.292x - 9.044
1.292x - x = 9.044
x = 9.044 / 0.292
= 30.97 (answer)
