Answer:
Step-by-step explanation:
there are function that "invert" each other..
subtraction inverts addition...
3+2 = 5 ... 5-2 = 3
division inverts multiplication
5*2 = 10 ... 10/2 = 5
Using that concept, "factoring" is basically the inverse of multiplication
3x^2 + 9x can be factored to 3x(x+3)
if you multiply that out it reverts back to the original equation
so x^2 + 5x + 6 factors to (x+3)(x+2)
if you multiply that out (foil it)
you get x^2 + 5x + 6
Please help asap! Easy question :)
Two fair dice are rolled. Determine the following probability:
P(one number is a multiple of 4 and the other is a multiple of 6)
Answer:
P(one number is a multiple of 4 and the other is a multiple of 6) = 1/18
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Total outcomes:
For the pair of dice:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
So 36 total outcomes.
Desired outcomes:
One multiple of 4 and one multiple of 6.
2 possible outcomes: (4,6) or (6,4)
Probability:
2 outcomes out of 36, so:
[tex]p = \frac{2}{36} = \frac{1}{18}[/tex]
Then
P(one number is a multiple of 4 and the other is a multiple of 6) = 1/18
Please help! Thank you!!!!!
9514 1404 393
Answer:
f(x) = x² -3g(x) = 6x +7h(x) = 3^xStep-by-step explanation:
f(x) is copied from the problem statement.
g(x) is a symbolic representation of the English wording, using x to represent "a number."
h(x) is the exponential function that corresponds to the geometric sequence in the table. It has a common ratio of 3, and a multiplier of 1 at x=0.
What is the equation of a line that passes through the point (1,8) and is perpendicular to the line whose equation is y=x/2+3?
Answer:
m=1/2
y-8=1/2(x-1)
y-8=1/2x-1/2
multiply through by 2
2y-16=x-1
2y-16+1-x=0
2y-15-x=0
2y-x-15=0
A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the athlete scored 10 points. What is the z-score for the points scored in this game?
–2.02
–1.63
1.63
2.02
Answer:
Step-by-step explanation:
Z -2.02
x 10
µ 22.5
σ 6.2
What is the product?
Answer:
Step-by-step explanation:
[tex]\begin{bmatrix}3 & 6 & 1\\ 2 & 4& 0\\ 0 & 6 & 2\end{bmatrix}\times\begin{bmatrix}2\\ 0\\ 1\end{bmatrix}[/tex]
Multiply the terms of the rows of the first matrix with the terms given in the column of the second matrix.
[tex]=\begin{bmatrix}(3\times 2+6\times 0+1\times 1)\\ (2\times 2+4\times 0+0\times1)\\ (0\times 2+6\times 0+2\times 1)\end{bmatrix}[/tex]
[tex]=\begin{bmatrix}7\\ 4\\ 2\end{bmatrix}[/tex]
Consider the distribution Ber(0.25). Consider the categorical statistical model({a1,..., ax},{Pp}) for this Bernoulli distribution. If we let Q1 = 1 and a2 =0, then this corresponds to a categorical distribution P, with parameter vector p given by:______.
a. 0.25
b. 0.75
c. (0.25 0.75]^T
d. [0.75 0.25)^T
Answer:
c. [0.25 0.75] ^T
Step-by-step explanation:
Bernoulli distribution is used to identify number of successes and failures in the selected sample. In the given problem Ber distribution trial is 0.25. There will be categorical distribution of 0.75 and the trial will be done on parameter vector.
Find the missing segment in the image below
Answer:
Step-by-step explanation:
What is the equation of the line that passes through the point (6, -6) and has a slope
of – 5/3?
Answer:
y = -5/3x + 4Step-by-step explanation:
Use the point-slope equation:
y - y₁ = m(x - x₁), where (x₁, y₁) is the given pointThe line is:
y - (-6) = -5/3(x - 6) y + 6 = -5/3x + 10y = -5/3x + 4An airline charges the following baggage fees: $20 for the first bag and $40 for the second. Suppose 54% of passengers have no checked luggage, 25% have only one piece of checked luggage and 21% have two pieces. We suppose a negligible portion of people check more than two bags.
a) The average baggage-related revenue per passenger is: $___.
b) The standard deviation of baggage-related revenue is: $____.
c) About how much revenue should the airline expect for a flight of 120 passengers?
Find the missing Side of the triangle
Answer:
2√15
Step-by-step explanation:
Use the Pythagorean theorem.
2² + x² = 8²
x² + 4 = 64
x² = 60
x² = 4 * 15
x = 2√15
What are the zeros of the polynomial function f(x)=x3-7x2+8x+16
Answer: x=4, -1
Step-by-step explanation:
Assuming you meant [tex]x^3-7x^2+8x+16[/tex], the zeros of the question are x = 4 and -1.
Step 1. Replace f(x) with y.
[tex]y = x^3-7x^2+8x+16[/tex]
Step 2. To find the roots of the equation, replace y with 0 and solve.
[tex]0 = x^3-7x^2+8x+16[/tex]
Step 3. Factor the left side of the equation.
[tex](x-4)^2 (x+1)=0[/tex]
Step 4. Set x-4 equal to 0 and solve for x.
[tex]x-4=0[/tex]
Step 5. Set [tex]x+1[/tex] equal to 0 and solve for x.
[tex]x=-1[/tex]
The solution is the result of [tex]x-4=0[/tex] and [tex]x+1=0[/tex].
[tex]x=4,-1[/tex]
1% defective parts. 100,00 parts made in total. The number of defects made should equal?
Answer:
1,000 defects
Step-by-step explanation:
Find how many defects that should be made by finding 1% of 100,000:
100,000(0.01)
= 1000
So, there should be 1,000 defects
Two ice cream stands are deciding where to set up along a 1-mile-long beach. The people are uniformly located along the beach, and each person sitting on the beach buys exactly 1 ice cream cone per day from the nearest stand. Each ice cream seller wants the maximum number of customers. True or False: The two stands will most likely be 1/3 mile away from each other. True
Answer:
Each ice cream seller wants the maximum number of customers:
True
The two ice cream stands will most likely be 1/3 mile away from each other.
True
Step-by-step explanation:
This distance enables the two ice cream stands to give access to the maximum number of customers at the beach, which will be almost equal at their right-hand and left-hand sides. Therefore, the two ice cream stands will most likely be 1/3 mile away from each other. Such positioning exposes the ice cream stands to almost equal number of customers since the people standing along the beach are uniformly located. Taking the extreme locations along the 1-mile-long beach will shrink location opportunities for both stands.
Help please guys thanks
Answer:
False
Step-by-step explanation:
a^(m/n)=sqrt_{n}a^m
Lainey is looking for a new apartment and her realtor keeps calling her with new listings . The calls only take a few minutes , but a few minutes here and there are really starting to add up . She's having trouble concentrating on her work . What should Lainey do ? a ) Tell her realtor she can only receive text messages b ) Limit the time spent on each call c ) Turn off her phone until she is on a break d ) Call her realtor back when customers won't see her on the phone
Answer:
c ) Turn off her phone until she is on a break
In how many distinct ways can the letters of the word MAMAS be arranged?
Answer:
120 ways
Step-by-step explanation:
There are 5 letters.
5! = 5*4*3*2*1
= 20*6
= 120
Answer:
The answer is 30. You cant repeat letters. Ther are 5 letters, the M and A are repeat letters so 5-2=3 5!/3! = 30
Step-by-step explanation:
What is the range & domain of the set
R: {(-6, 14), (10,19), (4, -9), (3, 2), (6, -13)}
Answer:
Domain { -6,3,4,6,10}
The range is the output values, listed from smallest to largest with no repeats
Range { -13,-9,2,14,19}
Step-by-step explanation:
The domain is the input values, listed from smallest to largest with no repeats
Domain { -6,3,4,6,10}
The range is the output values, listed from smallest to largest with no repeats
Range { -13,-9,2,14,19}
Answer:
Range: 14, 19, -9, 2, -13
Domain: -6, 10, 4, 3, 6
Step-by-step explanation:
I don't know but this is it I think .
What type of number can be written as a fraction
Answer:
a rational number is a number that can be written as a fraction
I hope this helps
Find the area of the triangle with the given
Answer:
616.2442
area to the nearest whole number=616
Step-by-step explanation:
using formula 1/2absinx
where a =44,b=29 ,x=105
1/2x44x29xsin105
44x29=1276
1276÷2=638
638 x sin 105
the sin of 105 is 0.9659
if u are using a four figure table where u can't find 105 under sin of angle
u simply subtract 105 from 180=75
638 x 0.9659 =616.2442
approx.616
HELP PLS !!! Pls pls pls pls pls pls pls pls pls
Answer:
x=7
Step-by-step explanation:
6x+11=7x+4
If anyone knows answer with steps that will be greatly appreciated :)
Answer:
The area formula is= 1/2(a+b)×height
1/2×20×6=60metres squared
Step-by-step explanation:
kindly correct me if am wrong
find the missing length indicated
Answer:
c = 175
Step-by-step explanation:
When the height of a right triangle is shown this way (at right angles with the hypotenuse, It can be found by using the way the hypotenuse is broken up. The following proportion works.
576/x = x / 49 Cross multiply
x^2 = 576 * 49
sqrt(x^2) = sqrt(576*49)
x = 24 * 7
x = 168
But that's not what you want (although it is close).
What you want is the hypotenuse to the small lower triangle
c = ?
a = 49
b = 168
c^2 = 49^2 + 168^2
c^2 = 2401 + 28224
c^2 = 30625
c = sqrt(30625)
c = 175
CUSTOMERS AT A STORE
The bar graph above shows the number of customers who shopped at a store Monday through Thursday of
one week. If the number of customers on Friday was a one-fifth increase over the number of customers on
Thursday, how many customers shopped at the store on Friday?
O 480
O 500
O 525
O 600
Answer:
480
Step-by-step explanation:
We are looking for the total number of customers in the store on Friday using a chart and a fractional increase.
On Thursday there were 400 customers, so we need to find the amount of the increase.
1/5 of 400 =80
Increase Thursday's amount, 400, by the amount of the increase, 80, to find the number of customers on Friday.
400+80 = 480
Friday has 480
Answer:
480
Step-by-step explanation:
400 + 1/5(400) = 400 + 80 = 480
You have collected data about the fasting blood glucose (FBG) level of participants in your study. You are delighted to find that the variable is normally distributed. If the mean FBG is 82 and the standard deviation is 2.8 in what range would you expect to find the FBG of 68% of your study participants
Answer:
Between 79.2 and 84.8.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 82, standard deviation of 2.8.
In what range would you expect to find the FBG of 68% of your study participants?
By the Empirical Rule, within 1 standard deviation of the mean, so:
82 - 2.8 = 79.2
82 + 2.8 = 84.8
Between 79.2 and 84.8.
(WILL GIVE YOU 30 POINTS!!!)
The graph shows the functions f(x), p(x), and g(x):
Graph of function g of x is y is equal to 3 multiplied by 1.2 to the power of x. The straight line f of x joins ordered pairs minus 3, minus 3 and 4, 4 and is extended on both sides. The straight line p of x joins the ordered pairs minus 6, 1 and minus 3, minus 3 and is extended on both sides.
Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points)
Part B: Write any two solutions for f(x). (3 points)
Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)
Answer:
(a) No solution
(b)
[tex](x_1,y_1) =(-3,-3)\\(x_2,y_2) =(4,4)[/tex]
(c) [tex](-6,1)[/tex]
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Solution to p(x) and f(x)
Curve p(x) and line f(x) do not intersect.
So, there is no solution to the pair of p(x) and f(x)
Solving (b): Two solutions to f(x)
This means that we select any two point on straight line f(x)
From the line of f(x), we have:
[tex](x_1,y_1) =(-3,-3)\\(x_2,y_2) =(4,4)[/tex]
Solving (c): Solution to p(x) = g(x)
Here, we write out the point of intersection of p(x) and g(x)
From the graph, the point of intersection is: [tex](-6,1)[/tex]
What is the lengh of the line
Answer:
√45 or 3√5
Step-by-step explanation:
what is the square root of 24
Answer:
the square root of 24 is 4.89897948557
Answer:
4.89
Step-by-step explanation:
2root 6........***
K.Brew sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 18 sales receipts for mail-order sales results in a mean sale amount of $81.90 with a standard deviation of $22.25. A random sample of 8 sales receipts for internet sales results in a mean sale amount of $88.30 with a standard deviation of $23.25. Using this data, find the 90% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed. Construct the 98% confidence interval.
Answer:
kdjdeoksndoddmsnsksndjdjd
The baker bought the buttercream icing from Crave Cupcakes. Calculate how many containers of icing the baker needs to buy in order to ice a wedding cake. Each container of icing contains 16 ounces of icing. If it takes 56 ounces of icing to cover 678 square inches of cake, calculate the total cost for the icing before tax if each 16 ounce(2 cup) container of icing costs $10.
Answer:
$40.
Step-by-step explanation:
You need 4 16oz containers of icing to fully cover the cake. As each container costs $10, and you need 4 containers, the total cost of icing to cover the wedding cake, before tax, is $40.
i provided the question
Answer:
(0, 3)
Step-by-step explanation:
y = 3 is the horizontal tangent to y = x^2+3, and passes the parobala at (0, 3)
