Answer:
The length of the ribbons in all were 25.3 meters.
Step-by-step explanation:
Given:
Lengths of the three pieces of ribbon were 10 meters and 9 decimeters, 3 meters and 10 decimeters, and finally 10 meters and 4 decimeters.
Now, to find the length of the ribbons in all.
So, by adding the length of all three pieces we get the length of all the ribbons:
.
Now, converting the decimeters into meters = 23 meters + 2.3 meters = 25.3 meters.
(1 decimeter = 0.10 meter)
(23 decimeter = 2.3 meter.)
Therefore, the length of the ribbons in all were 25.3 metres.
Answer:
The probability that you get zero questions correct is 0.4096
The probability that you get one questions correct is 0.4096
The probability that you get three questions correct is 0.0256
Step-by-step explanation:
These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:
Where x is the variable that says the number of success in the n situations
And nCx is calculate as:
From the question we can identify that:
- n is equal to 4 multiple choice question
- p is 1/5 or 0.2, the probability of get one question correct
- q is 4/5 or 0.8, the probability of get one question incorrect
Then the probability of get zero questions correct of 4 questions is:
The probability of get one question correct of 4 questions is:
The probability of get three questions correct of 4 questions is:
Option B is correct.
John wants to find the center of a wall so he can hang a picture. He measures the wall and determines it is 65.25" wide.
Here, 65.25" is Quantitative, continuous
There are two types of quantitative data or numeric data: continuous and discrete.
As a general rule, counts are discrete and measurements are continuous. A continuous data can be recorded at many different points (length, size, width, time, temperature, etc.)
So, option B is the answer.
Step-by-step explanation:
x²+4-4x+y²=3
x²+y²-4x+1=0
<h2>
Answer:</h2>
<h3>
<em>x=45degrees</em></h3>
<h2>
Step-by-step explanation:</h2>
Let the angle to be solved be x
Let the supplement/compliment by y
x+y=90 Complimentary angles add up to 90 degrees.
x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:
x+y=90 Isolate x:
x=90−y Input into the other equation:
(90−y)+3y=180 Combine like terms, isolate y and its coefficients:
2y=90 Isolate y
y=45 Input into the first equation:
x+45=90 Isolate x:
x=45degrees
