The table below shows the soft drinks preferences of people in three age groups.
If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age.
The required probability of that the person is of over 40 years of age. Option D is correct.
Given that,
If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age is to be determined.
Probability can be defined as the ratio of favorable outcomes to the totalnumber of events.
Here,
Let the total number of people that has age of more than 40 years,
= 20 + 30 + 35
= 85
Now,
According to the question,
Probability is given as,
= 85 / 255
= 1/3
Thus, the required probability of that the person is of over 40 years of age. Option D is correct.
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Answer:
1/3
Step-by-step explanation:
The number of people over 40 is 20 + 30 + 35 = 85.
So the probability is 85/255, which reduces to 1/3.
Answer:
64.0% is the correct answer.
Step-by-step explanation:
As per the given scatter plot of voter turnout every year:
X axis represents the year and
Y axis represents the percentage of people who voted.
The model was predicted as per the equation:
To find:Prediction for the year 1900.
Putting the value of , the value of y will be the predicted value of the model i.e. the value of percentage of voter turnout.
So, the model predicts for the year 1900.
b. Write down the fixed-step-size gradient algorithm for solving this optimization problem.
c. Suppose that Find the largest range of values for α such that the algorithm in part b converges to the solution of the problem.
Answer:
Answer for the question :
Consider the optimization problem where A m × n , m ≥ n , and b m .
a. Show that the objective function for this problem is a quadratic function, and write down the gradient and Hessian of this quadratic.
b. Write down the fixed-step-size gradient algorithm for solving this optimization problem.
c. Suppose that Find the largest range of values for α such that the algorithm in part b converges to the solution of the problem.
is explained din the attachment.
Step-by-step explanation:
Answer:
66.99 cm³
Step-by-step explanation:
the volume = ⅓× 3.14 × 4²× 4 = 3.14 × 64/ 3
= 66.99cm³
I always prefer quadratic formula as compared to factoring or completing the square to solve a quadratic equation.
"A quadratic equation is an algebraic equation of the second degree in 'x'. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term."
In order to solve a quadratic equation, I always prefer quadratic formula as compared to the other methods.
In many cases, a quadratic equation can not be converted into a square or into factors.
Therefore, quadratic formula is the only method to solve all type of quadratic equation.
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I prefer solving quadratic equations with the quadratic formula. The formula is great for solving any equations like ones that factoring can’t. It is also easy to memorize and type in and check with a calculator.
Answer: y/10
Step-by-step explanation: step 1 = simplify y/100
step 2 = (5/32 x 64) x y/100
step 3 = simplify 5/32
step 4 = (5/32 x 64) x y/100
step 5 = The answer is y/10