Answer:
0.2611 = 26.11% probability that exactly 2 calculators are defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
5% of calculators coming out of the production lines have a defect.
This means that 
Fifty calculators are randomly selected from the production line and tested for defects.
This means that 
What is the probability that exactly 2 calculators are defective?
This is P(X = 2). So
0.2611 = 26.11% probability that exactly 2 calculators are defective.
Answer:
Step-by-step explanation:
Equation of blue line:
blue line is parallel to y-axis
⇒ x = 5
Equation of green line:
Green line is parallel to x-axis.
y = 2
Equation of red line:
At y-intercept x = 0. Point on red line is (0,5)
So, y-intercept = 5
y = mx + b Here, m is slope any b is y-intercept.
y = mx + 5
Now, choose any other point in red line. ((1,7)
Substitute this value in the above equation and we can find m
7 = m*1 + 5
7 - 5 = m
m = 2
y = 2x + 5
Equation of black line:
Black line and red line are parallel and so, they have same slope.
y = 2x + b
y-intercept (0,-6) ; b = -6
y = 2x - 6
Answer:
C) 8
Step-by-step explanation:
Consecutive angles are equal to 180. So 22x+4+180. Solve that to get x=8. Hope I helped and post more questions :)
<h2>
Explanation:</h2>
Hello! Recall you need to write complete questions in order to find exact answers. So in this problem I'll assume the question is:
<em>A number d minus 4 is less than -1</em>
<em />
So it is easy to know that we need to write an inequality here because of the words "less than", which implies that we must use the symbol <. So let's solve this step by step.
Step 1. A number d minus 4.
This statement includes the word "minus", so we need to use the symbol (-). Therefore:
Step 2. A number d minus 4 is less than
As we said above, here we need to use the symbol (<). So:
Step 3. A number d minus 4 is less than -1
Finally, we get:
<h2>Learn more:</h2>
Inequalities: brainly.com/question/9611462
#LearnWithBrainly
Answer:
9.) Its equilateral
7.) 24
Step-by-step explanation:
Sorry I only have the answer for 7 and 9.
