Answer:
a. 5/12
b. 7/18
Step-by-step explanation:
In this question, we are interested in computing the probabilities.
Firstly, we need to get the sample space of the results. This refer to all possible results that can emerge from the rolling of the two die.
This can be found in the attachment.
What is important to know however is that the total number of possible results is 36;
so let’s compute;
a. For a, let’s circle all sums which are greater than 7 ;
We can see a total of 16 circled sums;
So the probability is 15/36 = 5/12
b. Sum divisible by 4 or 6 or both
Let’s make a circle again ;
So we have a total of 14
So the probability will be 14/36 = 7/18
Divide each side of the equation by -3
to isolate y
while keeping the equation balanced. See below:
Explanation:
Divide each side of the equation by
− 3 to isolate y
while keeping the equation balanced.
Answer:
y = 3x^2 - 33x + 90
Step-by-step explanation:
y= 3(x - 6)(x - 5)
if you expand this you get
y = 3(x^2 - 6x - 5x +30)
y = 3(x^2 - 11x + 30) Now use the 3
y = 3x^2 - 33x + 90
And that would be the answer.
Answer: 0.6827
Step-by-step explanation:
Given : The resistance of a strain gauge is normally distributed .
Population mean : 
Standard deviation : 
Let x be the random variable that represents the resistance of a strain gauge is normally distributed .
z-score : 
To meet the specification, the resistance must be within the range 100±0.7 ohms i.e. (99.3,100.7).
For x = 100.7

For x = 99.3

By using the standard normal distribution table, The proportion of gauges is acceptable is given by:-

Hence, the proportion of gauges is acceptable=0.6827