Answer:
384 square meters.
Step-by-step explanation:
Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:
A x 6 = X
64 x 6 = X
384 = X
Thus, the area of the cube is 384 square meters.
In this scenario, the parameter is the sample proportion, which is of 0.7.
<h3>What is the parameter?</h3>
- When a hypothesis is tested, the parameter is the information obtained from the sample, mean or proportion.
- In this case, it is the <em>sample proportion</em>, which is the <u>number of desired outcomes divided by the number of total outcomes</u>.
She goes to the correct object in 70 of those 100 trials, hence:
The parameter is the sample proportion, which is of 0.7.
You can learn more about sample proportion at brainly.com/question/25868626
Answer:
Step-by-step explanation:
The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"
Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:
In order to find the expected value E(1/X) we need to find this sum:
Lets consider the following series:
And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:
(a)
On the last step we assume that and , then the integral on the left part of equation (a) would be 1. And we have:
And for the next step we have:
And with this we have the requiered proof.
And since we have that:
Answer:
The Monument is taller than the child by 174.125 meters
Step-by-step explanation:
The Monument in Santiago measures 175 meters. A child measures 87.5 centimeters.
Step 1
Convert child's height to meters
100cm = 1 m
87.5 cm = x
Cross Multiply
100cm × x = 87.5 cm × 1m
x = 87.5 cm × 1m/100cm
x = 0.875m
Step 2
How much is the Monument taller than the child?
This is calculated by subtracting Child's height from Monument height
= 175 m - 0.875m
= 174.125 m
Therefore, the Monument is taller than the child by 174.125 m
Children ticket price=£9
Adult ticket price=£17
Let adult=A
Children=C
So, 2A+3C=61 (equation 1)
3A+5C=96(equation 2)
Multiply equation 1 by 3 and equation 2 by 2
Solve equations and get the answer.