△BCD is a right triangle. The length of the hypotenuse is 19cm. The length of one of the legs is 13 cm. What is the length of th
e other leg? (Answer must be a decimal rounded to the nearest tenth.)
1 answer:
Answer:
13.86 to the nearest tenth.
Step-by-step explanation:
A right angled triangle has three sides and it also has three angles. One of the angles is always 90 degrees while the other two angles are complimentary angles. This means that they add up to give 90 degrees.
The longest side is called the hypotenuse.
One of the shorter side is called the opposite.
The other shorter side is called the adjacent.
From the information given,
The length of the hypotenuse = 19cm
The length of the opposite side = 13cm
The length of the adjacent side = xcm
Applying Pythagoras theorem,
Hypothenuse ^2 = adjacent^2 + opposite ^2
19^2 = x^2 + 13^2
x^2 = 361 - 169 = 192
x = √192 = 13.8564
= 13.86 to the nearest tenth.
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Answer:
Mean for a binomial distribution = 374
Standard deviation for a binomial distribution = 12.97
Step-by-step explanation:
We are given a binomial distribution with 680 trials and a probability of success of 0.55.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 680 trials
r = number of success
p = probability of success which in our question is 0.55
So, it means X <em>~ </em>
<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>
- Mean of Binomial Distribution is given by;
E(X) = n p
So, E(X) = 680 0.55 = 374
- Standard deviation of Binomial Distribution is given by;
S.D.(X) =
=
= = 12.97
Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.