Final answer:
Two events A and B are considered independent if the probability of A given B (P(A|B)) is equal to the probability of A, and the probability of B given A (P(B|A)) is equal to the probability of B. In this case, events a and b are not independent.
Explanation:
Two events A and B are considered independent if the probability of A given B (P(A|B)) is equal to the probability of A, and the probability of B given A (P(B|A)) is equal to the probability of B.
In this case, if p(a|b) = 0.35, p(b) = 0.75, and p(a) = 0.44, we can determine if events a and b are independent by comparing the given probabilities.
To check if events a and b are independent, we need to find p(a|b) and compare it to p(a), and find p(b|a) and compare it to p(b).
p(a|b) = 0.35 means that the probability of event a occurring given that event b has occurred is 0.35. Since p(a|b) is not equal to p(a), events a and b are not independent.
Use compatible numbers to solve the problem 326 divided by 44.
A 320 divided by 32 = 10
B 320 divided by 40 = 8
C 330 divided by 30 = 11
D 352 divided by 44 = 8
Find the domain and range of the relation and determine whether it is a function. y=x2-3
Use the four-step procedure to solve the following problem. How much water must be added to a gallon of 10% saline solution to create a 2% solution?
Answer:
4 gallons of water should be added in 10% saline solution.
Step-by-step explanation:
Let x gallon of water is added in one gallon of 10% saline solution.
Therefore total volume of 10% saline solution will become (1 + x) gallons
Since concentration of water is 0% so equation will be
0.10(1) + 0(x) = .02(1 + x)
0.10 = 0.02(1 + x)
1 + x = [tex]\frac{0.10}{0.02}[/tex]
x + 1 = 5
x = 5 - 1
x = 4 gallons
Therefore, 4 gallons of water should be added to 10% saline solution to create 2% solution.
the sum of the ages of carl and daria is twice as much as the difference between their ages. how old is daira if carl is nine years old and is
A) older than she?
b) younger than she?
Show your work using algebra
how would you solve 3x-4=9x-21
A mail truck traveled 82 miles in 412 hours. The distance is the product of the rate and the time. To the nearest tenth, what was the average speed of the mail truck? Enter your answer in the box.
Answer:
I took the test. The answer was 18.2 m/ph
Step-by-step explanation:
Can anyone help me with this, and maybe explain it?
The set of ordered pairs represent a function. Write a rule that represent the function. (0,0), (1,6),(2,24), (3,54),(4,96)
The required function would be f(x) = 6x² which represents the set of ordered pairs.
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
We have been given that function as sets of ordered pairs :
(0,0), (1,6), (2,24), (3,54), (4,96)
First, we must identify a pattern. It appears that all yₓ values are multiples of 6.
We can divide yₓ by 6x since it is a multiple of 6 and a multiple of x:
y₁/ 6×1 = 1
y₂/ 6 ×2 = 2
y₃/ 6 ×3= 3
y₄/6×4 = 4
We can clearly see a pattern here ;
y/ 6×x = x
y = x × x × 6
y = 6x² = f(x)
Therefore, the required function would be f(x) = 6x² which represents the set of ordered pairs.
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Which function below is the inverse of f(x) = x2 − 9? ±square root of the quantity x plus 9 x squared over 9 ±three times the square root of x 1 over quantity x squared minus 9?
Answer:
Step-by-step explanation:
The first answer.
Find the quotient of 5/31 divided by 15/23. Reduce your answer to the lowest fraction.
If l and m are parallel, which pairs of angles are supplementary?
Pairs:
1 and 2
3 and 7
6 and 7
1 and 6
So therefore the answers would be:
1 and 2
3 and 7
6 and 7
Hope This Helps :)
Please mark as brainiest
Answer:
1 and 2
3 and 7
6 and 7
Step-by-step explanation:
Question #12 assessment progress 30 percent suppose that the functions r and s are defined for all real numbers x as follows. =rx4x2 =sx2x
What type of function has an inverse that is also a function?
Which axis in a chart displays the descriptive labels for the data points?
matt ryan throws a ball 26 yards how many inches did he throw
Which grouping shows duple meter?
a. one two three four five, one two three four five
b. one two three four five six, one two three four five six
c. one two three, one two three
d. one two, one two, one two, one two?
Answer: D: ONE TWO, ONE TWO, ONE TWO, ONE TWO
Step-by-step explanation:
420,983 estimate it then estimate 39,932 then you have to add thoes then you have to add that and that and then you have to add 420,983 plus 39,932 and see if your answer is close to the estimate
By rounding numbers to the nearest large place value, we estimated the sum of 420,983 and 39,932 as 460,000. The exact sum is 460,915, demonstrating that our estimation was a close approximation to the actual value.
Explanation:To estimate the sum of 420,983 and 39,932, we can round these numbers to the nearest ten thousand and thousand, respectively. Rounding 420,983 to the nearest ten thousand gives us 420,000, and rounding 39,932 to the nearest thousand gives us 40,000.
Now, we add the estimated numbers: 420,000 + 40,000 = 460,000.
To find the exact sum of 420,983 and 39,932, we add the two numbers together without estimating: 420,983 + 39,932 = 460,915.
Comparing our estimate of 460,000 with the exact answer of 460,915, we can see that our estimate is very close to the exact amount, showing that our estimation was a good approximation. To find the estimate for 420,983, we round it to the nearest 100,000, which is 400,000. For the estimate of 39,932, we round it to the nearest 10,000, which is 40,000. When we add these two estimates, we get 440,000. Next, we add the actual numbers 420,983 and 39,932, which gives us 460,915. Comparing this with our estimate, we can see that our answer is close to the estimate.
Final answer:
To estimate the sum of 420,983 and 39,932, round each number to the nearest thousand and add them together. Then compare the estimate with the actual sum.
Explanation:
To estimate the sum of 420,983 and 39,932, we can round each number to the nearest thousand. 420,983 rounded to the nearest thousand is 421,000, and 39,932 rounded to the nearest thousand is 40,000. Now, we can add these rounded numbers together: 421,000 + 40,000 = 461,000. This is our estimate for the sum.
Next, we add the actual numbers 420,983 and 39,932 together: 420,983 + 39,932 = 460,915. Finally, we compare our estimate (461,000) with the actual sum (460,915) to see if they are close. In this case, our estimate is slightly higher than the actual sum.
The width of a rectangle is one half it's length. The perimeter is 54 cm. What are the width and the length of the rectangle?
four more than the product of one and a number x
Solve the equation a+b-c=180 for c
Answer:
Step-by-step explanation:
we are given the equation a+b-c=180
Now to solve it for c we need to isolate the c
first step can be addition of c to both side
a+b-c+c=180+c
a+b=180+c
now in second step we subtract 180 from both sides to get
a+b-180=180+c-180
a+b-180 = c
c= a+b-180
Describe the similarities and differences in the solution of 2x -7 =15 and 2x - 7 < 15
What is the equation of the following graph? Write it in both slope-intercept form and standard form.
The equation of the graph is y = 3x + 9 in slope-intercept form and 3x - y = -9 in standard form.
Explanation:The equation of the graph can be written in slope-intercept form (y = mx + b) and standard form (ax + by = c).
Slope-intercept form: y = mx + bGiven slope (m) = 3 and y-intercept (b) = 9Substituting the values, the equation becomes: y = 3x + 9Standard form: ax + by = cRearranging the equation from slope-intercept form, we get: 3x - y = -9Learn more about Equation of a straight line here:https://brainly.com/question/31693341
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Is the correct answer E)1 ?
What constant would be added to the expression x2−7xx2−7x in order to make it a perfect square?
Find the smallest positive integer that satisfies the system of congruences \begin{align*} n &\equiv 2 \pmod{11}, \\ n &\equiv 3 \pmod{17}. \end{align*}
How do I solve this?? I'm lost
I need help of question #36
3x-2y=-39 and x+3y=31 solution using elimination
Kara bought a DVD for $22 and a cd for less then the cost of the DVD. Let c represent the cost of the cd. Write an inequality to show the cost of the cd
which system of equations represents the matrix shown below? See picture