we have
Step
Move the constants to the right side
Step
Factor 3 out of the variable terms
Step
Add to both sides of the equation
Step
Write the polynomial as a binomial squared
therefore
the answer is
Factor 3 out of the variable terms.
Graph a triangle on the coordinate plane. Choose 1 transformation (reflection, rotation,
1 answer:
Answer:
The answer in the procedure
Step-by-step explanation:
we have the right triangle ABC
The pre-image coordinates are
The transformation to use is the translation
The rule of the translation is
That means----> The translation is 10 units to the right
The image coordinates are
Applying the rule of the translation
using a graphing tool
see the attached figure
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Answer:
And if we solve for a we got
Step-by-step explanation:
Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
Answer: a) 0.99917 b) 0.7054 c) 0.9820
Step-by-step explanation:
Let X denotes the number of people are in favor of a proposed rise in school taxes.
Era re given that p(probability that a person is in favor of a proposed rise )= 0.65
Sample size : n= 100
Mean= np = 100(0.65)=65
Standard deviation:
a) Now, the probability that a random sample of 100 people will contain at least 50 who are in favor of the proposition :
b) between 60 and 70 inclusive who are in favor;
c) fewer than 75 in favor.