1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zlopas [31]
3 years ago
10

17. Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS packa

ge, and let B be the event that the next request is for help with SAS. Suppose that P(A) = .30 and P(B) = .50.
a. Why is it not the case that P(A) + P(B) = 1?
b. Calculate P(A?).
c. Calculate P(A U B).
d. Calculate P(A? intersection B?) .
Mathematics
1 answer:
ankoles [38]3 years ago
5 0

Answer:

a. The probability is not equal to 1

b. P (A') = 0.70

c. P ( A U B ) = 0.80

d. P ( A' ∩ B' ) = 0.20

Step-by-step explanation:

a. Because these A and B are disjoint

b. since the probability of  A is 0.30 then the probability of A compliment is

    P(A compliment ) = 1 - P (A)

    P(A compliment ) = 1-0.30

    P(A compliment ) = 0.70

c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;

       P ( A U B ) = P (A) + P(B) - P(A∩ B)

       P ( A U B ) = 0.30 + 0.50 - 0

       P ( A U B ) = 0.80

d. The inetrsection of compilments of A and B are:

by using De Morgan's Law we have,

                     P ( A' ∩ B' ) = P [(A U B )']

                     P ( A' ∩ B' ) = 1 - P ( A U B )

                     P ( A' ∩ B' ) = 1 - 0.80

                     P ( A' ∩ B' ) = 0.20

You might be interested in
Explain the steps necessary to convert a quadratic function in standard form to vertex form
SIZIF [17.4K]

Answer:

See below.

Step-by-step explanation:

Here's an example to illustrate the method:

f(x) = 3x^2 - 6x + 10

First divide the first 2 terms by the coefficient of x^2 , which is 3:

= 3(x^2 - 2x) + 10

Now  divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form

(x - b/2)^2 - b/2)^2  (where b = 2) , which will be equal to x^2 - 2x in a different form.

= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x  + 1^2  and we have to make it equal to x^2 - 2x)

= 3 [(x - 1)^2 -1 ] + 10

= 3(x - 1)^2 - 3 + 10

= <u>3(x - 1)^2 + 7 </u><------- Vertex form.

In general form the vertex form of:

ax^2 + bx + c  = a [(x - b/2a)^2 - (b/2a)^2] + c .

This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.

3 0
3 years ago
Read 2 more answers
I have asked so many times and no one will answer. :(
andrew-mc [135]

Answer:

1) \frac{1}{2^7} ; 2) 11^7

Step-by-step explanation:

1) Using the Power of a Fraction Rule (\frac{a}{b} )^x = (\frac{a^x}{b^x} ),

(\frac{1}{2} )^7 = (\frac{1^7}{2^7} ), which can just be simplified to \frac{1}{2^7}.

2) Using the Negative Exponent Rule, a^{-x}  = \frac{1}{a^{x}},

(\frac{1}{11} )^{-7} = \frac{1}{\frac{1}{11^7}}, which can be simplified to 11^7.

4 0
2 years ago
Which of the following are measurements of the sides of a right triangle?
Anna [14]

the answer is D. all of the above

6 0
3 years ago
Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.
jek_recluse [69]

Step-by-step explanation:

tricky, as the sequence does not define the input values.

by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.

in that sense, b is the correct answer.

3 0
2 years ago
Using the method described in part F, help Kevin change 9/2= x/24 to an equation without fractions. Show your work. Don't solve
soldi70 [24.7K]

Answer:

108 = x

Step-by-step explanation:

multiple both sides by 24 and simplify

9 x 24 = 216/2=x

108 = x

3 0
3 years ago
Read 2 more answers
Other questions:
  • PLZ SOMEONE ANSWER ASAP
    5·1 answer
  • Tia made a scale drawing of the White House for her history project. The actual length of the building is 168 feet, and its widt
    13·2 answers
  • Please help me with these questions thank you.
    13·2 answers
  • Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.
    14·1 answer
  • Does anyone know how to answer this?
    8·1 answer
  • Which are the solutions to 49x2 – 36 = 0
    12·1 answer
  • What is the range of g(x) = 3 |x - 1| - 1?
    15·1 answer
  • I need help with this question ASAP!
    15·1 answer
  • Determine the area of the composite figure below
    9·1 answer
  • The angles of a triangle are described as follows: angle a is the largest angle; its measure is twice the measure of angle b. Th
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!