Answer:
student loan
Step-by-step explanation:
What is the factors of x^2-16x+64
Answer:
(x-8)² or (x-8)(x-8)
Step-by-step explanation:
x^2-16x+64
x^2 -8x -8x +64
x (x-8) - 8(x-8)
(x-8) (x-8)
(x-8)^2
Based on the number of voids, a ferrite slab is classified as either high, medium, or low. Historically, 5% of the slabs are classified as high, 85% as medium, and 10% as low. A group of 20 slabs that are independent regarding voids is selected for test ing. Let X, Y, and Z denote the number of slabs that are classified as high, medium, and low, respectively.
(a) What are the name and values of the parameters of the joint probability distribution of X, Y , and
Z?
(b) What is the range of the joint probability distribution of X, Y, and Z?
(c) What are the name and the values of the parameters of the marginal probability distribution of X?
(d) Determine E[X] and Var(X).
Determine the following:
(e) P{X = 1, Y = 17, Z = 3}
(f) P{X ? 1, Y = 17, Z = 3}
(g) P{X ? 1}
(h) E[Y ]
Answer:
(a) Name: Multinomial distribution
Parameters: [tex]p_1 = 5\%[/tex] [tex]p_2 = 85\%[/tex] [tex]p_3 = 10\%[/tex] [tex]n = 20[/tex]
(b) Range: [tex]\{(x,y,z)| x + y + z=20\}[/tex]
(c) Name: Binomial distribution
Parameters: [tex]p_1 = 5\%[/tex] [tex]n = 20[/tex]
[tex](d)\ E(x) = 1[/tex] [tex]Var(x) = 0.95[/tex]
[tex](e)\ P(X = 1, Y = 17, Z = 3) = 0[/tex]
[tex](f)\ P(X \le 1, Y = 17, Z = 3) =0.07195[/tex]
[tex](g)\ P(X \le 1) = 0.7359[/tex]
[tex](h)\ E(Y) = 17[/tex]
Step-by-step explanation:
Given
[tex]p_1 = 5\%[/tex]
[tex]p_2 = 85\%[/tex]
[tex]p_3 = 10\%[/tex]
[tex]n = 20[/tex]
[tex]X \to[/tex] High Slabs
[tex]Y \to[/tex] Medium Slabs
[tex]Z \to[/tex] Low Slabs
Solving (a): Names and values of joint pdf of X, Y and Z
Given that:
[tex]X \to[/tex] Number of voids considered as high slabs
[tex]Y \to[/tex] Number of voids considered as medium slabs
[tex]Z \to[/tex] Number of voids considered as low slabs
Since the variables are more than 2 (2 means binomial), then the name is multinomial distribution
The parameters are:
[tex]p_1 = 5\%[/tex] [tex]p_2 = 85\%[/tex] [tex]p_3 = 10\%[/tex] [tex]n = 20[/tex]
And the mass function is:
[tex]f_{XYZ} = P(X = x; Y = y; Z = z) = \frac{n!}{x!y!z!} * p_1^xp_2^yp_3^z[/tex]
Solving (b): The range of the joint pdf of X, Y and Z
Given that:
[tex]n = 20[/tex]
The number of voids (x, y and z) cannot be negative and they must be integers; So:
[tex]x + y + z = n[/tex]
[tex]x + y + z = 20[/tex]
Hence, the range is:
[tex]\{(x,y,z)| x + y + z=20\}[/tex]
Solving (c): Names and values of marginal pdf of X
We have the following parameters attributed to X:
[tex]p_1 = 5\%[/tex] and [tex]n = 20[/tex]
Hence, the name is: Binomial distribution
Solving (d): E(x) and Var(x)
In (c), we have:
[tex]p_1 = 5\%[/tex] and [tex]n = 20[/tex]
[tex]E(x) = p_1* n[/tex]
[tex]E(x) = 5\% * 20[/tex]
[tex]E(x) = 1[/tex]
[tex]Var(x) = E(x) * (1 - p_1)[/tex]
[tex]Var(x) = 1 * (1 - 5\%)[/tex]
[tex]Var(x) = 1 * 0.95[/tex]
[tex]Var(x) = 0.95[/tex]
[tex](e)\ P(X = 1, Y = 17, Z = 3)[/tex]
In (b), we have: [tex]x + y + z = 20[/tex]
However, the given values of x in this question implies that:
[tex]x + y + z = 1 + 17 + 3[/tex]
[tex]x + y + z = 21[/tex]
Hence:
[tex]P(X = 1, Y = 17, Z = 3) = 0[/tex]
[tex](f)\ P{X \le 1, Y = 17, Z = 3)[/tex]
This question implies that:
[tex]P(X \le 1, Y = 17, Z = 3) =P(X = 0, Y = 17, Z = 3) + P(X = 1, Y = 17, Z = 3)[/tex]
Because
[tex]0, 1 \le 1[/tex] --- for x
In (e), we have:
[tex]P(X = 1, Y = 17, Z = 3) = 0[/tex]
So:
[tex]P(X \le 1, Y = 17, Z = 3) =P(X = 0, Y = 17, Z = 3) +0[/tex]
[tex]P(X \le 1, Y = 17, Z = 3) =P(X = 0, Y = 17, Z = 3)[/tex]
In (a), we have:
[tex]f_{XYZ} = P(X = x; Y = y; Z = z) = \frac{n!}{x!y!z!} * p_1^xp_2^yp_3^z[/tex]
So:
[tex]P(X=0; Y=17; Z = 3) = \frac{20!}{0! * 17! * 3!} * (5\%)^0 * (85\%)^{17} * (10\%)^{3}[/tex]
[tex]P(X=0; Y=17; Z = 3) = \frac{20!}{1 * 17! * 3!} * 1 * (85\%)^{17} * (10\%)^{3}[/tex]
[tex]P(X=0; Y=17; Z = 3) = \frac{20!}{17! * 3!} * (85\%)^{17} * (10\%)^{3}[/tex]
Expand
[tex]P(X=0; Y=17; Z = 3) = \frac{20*19*18*17!}{17! * 3*2*1} * (85\%)^{17} * (10\%)^{3}[/tex]
[tex]P(X=0; Y=17; Z = 3) = \frac{20*19*18}{6} * (85\%)^{17} * (10\%)^{3}[/tex]
[tex]P(X=0; Y=17; Z = 3) = 20*19*3 * (85\%)^{17} * (10\%)^{3}[/tex]
Using a calculator, we have:
[tex]P(X=0; Y=17; Z = 3) = 0.07195[/tex]
So:
[tex]P(X \le 1, Y = 17, Z = 3) =P(X = 0, Y = 17, Z = 3)[/tex]
[tex]P(X \le 1, Y = 17, Z = 3) =0.07195[/tex]
[tex](g)\ P(X \le 1)[/tex]
This implies that:
[tex]P(X \le 1) = P(X = 0) + P(X = 1)[/tex]
In (c), we established that X is a binomial distribution with the following parameters:
[tex]p_1 = 5\%[/tex] [tex]n = 20[/tex]
Such that:
[tex]P(X=x) = ^nC_x * p_1^x * (1 - p_1)^{n - x}[/tex]
So:
[tex]P(X=0) = ^{20}C_0 * (5\%)^0 * (1 - 5\%)^{20 - 0}[/tex]
[tex]P(X=0) = ^{20}C_0 * 1 * (1 - 5\%)^{20}[/tex]
[tex]P(X=0) = 1 * 1 * (95\%)^{20}[/tex]
[tex]P(X=0) = 0.3585[/tex]
[tex]P(X=1) = ^{20}C_1 * (5\%)^1 * (1 - 5\%)^{20 - 1}[/tex]
[tex]P(X=1) = 20 * (5\%)* (1 - 5\%)^{19}[/tex]
[tex]P(X=1) = 0.3774[/tex]
So:
[tex]P(X \le 1) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X \le 1) = 0.3585 + 0.3774[/tex]
[tex]P(X \le 1) = 0.7359[/tex]
[tex](h)\ E(Y)[/tex]
Y has the following parameters
[tex]p_2 = 85\%[/tex] and [tex]n = 20[/tex]
[tex]E(Y) = p_2 * n[/tex]
[tex]E(Y) = 85\% * 20[/tex]
[tex]E(Y) = 17[/tex]
My little cuz need help can you help her please
Its Eight grade math
Solve the equation by using substitution
4x-2y=18
y=5x
the is going to be x=3 43- 35 =18
may be that the way it should be
Write the following expression in standard form.
-3.2a +5( -7b) + (12.c.4)
Answer:
-3.2a-35b+4.8c
Step-by-step explanation:
A linear function is given by the equation y=4x. Using the points x and x+1, show that the y-values increase by 4 between any two points separated by x2−x1=1
Answer:
[tex]x_2 - x_1 = 1[/tex] gives [tex]y_2 - y_1 = 4[/tex]
Step-by-step explanation:
Given
[tex]y = 4x[/tex]
[tex](x_1,x_2) = (x,x+1)[/tex]
Required
Show that the y values increases by 4 for [tex]x_2 - x_1 = 1[/tex]
We have:
[tex]y = 4x[/tex]
For [tex]x_1 = x[/tex]
[tex]y_1 = 4x_1[/tex]
Substitute [tex]x_1 = x[/tex]
[tex]y_1 = 4x[/tex]
For [tex]x_2 = x + 1[/tex]
[tex]y_2 = 4x_2[/tex]
Substitute [tex]x_2 = x + 1[/tex]
[tex]y_2 = 4(x+1)[/tex]
[tex]y_2 = 4x+4[/tex]
So, we have:
[tex]y_2 = 4x+4[/tex]
[tex]y_1 = 4x[/tex]
Subtract [tex]y_1[/tex] from [tex]y_2[/tex]
[tex]y_2 - y_1 = 4x + 4 - 4x[/tex]
Collect like terms
[tex]y_2 - y_1 = 4x - 4x+ 4[/tex]
[tex]y_2 - y_1 = 4[/tex]
Hence:
[tex]x_2 - x_1 = 1[/tex] gives [tex]y_2 - y_1 = 4[/tex]
i.e. an increment of 4
Use slope or the distance formula to determine the most precise name for the figure:
A(-4,-1), B(-2,4), C(4, 5), D(2,0).
Answer:
parallelogram
Step-by-step explanation:
opposite sides are parallel and equal
A lambda expression is typically used:_________.
a. for functions that are only used once
b. for simple functions
c. for functions that need to accept multiple data types
d. all of the above
e. a and b only
Answer:
e. a and b only
Step-by-step explanation:
Question - A lambda expression is typically used ?
Solution -
The correct option is - e. a and b only
Reason -
As we know that, lambda expression is used to define anonymous function object.
So,
It is used when the function is short or the function is simple.
And it is used for the functions that are only used once.
So,
a. for functions that are only used once
b. for simple functions
a and b both parts are correct.
So,
The correct option is - e. a and b only
What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)
Answer:
Last Option; 84 cu. mm
Step-by-step explanation:
We know that;
Volume = 1/3(Bh)
And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36
And height = 7mm
Therefore we can say;
Volume = (1/3)*(6 x 6)*(7)
Volume = (1/3)*(36)*(7)
Volume = (12)*(7)
Volume = 84
Hope this helps!
use figure 10.5 on page 391 for the percent of coverage to determine the a) amount of coverage for the garage, c)amount for loss of use, and d) amount of covergae for personal property. 4) replacement value: $27-0000; coverage:80%
Answer:
qwetyuookvxscv
fdfhputetu you ggvkpr
fhhjkkpopuu
I need help can someone tell me which choice is correct?
Answer: A, C, D
Step-by-step explanation:
A is correct because Audrey reads 40 pages a day, and David reads 20. When you divide 40 by 20, you get 2. This means that 2 times 20 would be 40, and anything multiplied by 2 is "twice".
40 ÷ 20 = 2
2 × 20 = 40
B is not correct because after 6 days, Audrey reads 240 pages, and David reads only 120. We can figure this out by multiplying the pages read by 6.
Audrey: 40 × 6 = 240
David: 20 × 6 = 120
C is correct because when you subtract 20 from 40, you get 20. Since Audrey reads 40 pages a day and David reads 20, you can use this equation: 40-20 to figure the answer out. Audrey reads 20 more pages every day.
[tex]40-20=20[/tex]
D is correct because after 2 days, Audrey will have read 80 pages, and David will have read 40 pages. When you subtract 40 from 80, you get 40 pages.
40 × 2 = 80
20 × 2 = 40
80 - 40 = 40
E is not correct because, after 3 days, Audrey will have read 120 pages, and David will have read 60 pages. One-third of 120 is 40, not 60. Three times 60 would be 180, not 120. So, This answer is incorrect.
-19x + 32 = -24x - 3
Answer:
x= -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
-19x+32=-24x-3
-19x+24x=-3-32
5x=-35
X=-35/5= -7
if r=3 and h=5
then what is 8r+h=?
Answer:
29 IS THE ANSWER PLEASE MARK AS BRAIN IST
Step-by-step explanation:
Answer:
[tex]r=3\\h=5\\\\8r+h\\= 8(3) + (5)\\= 24 + 5\\= 29[/tex]
I need help with alot of assignments.
Answer:
71
Step-by-step explanation:
if you add 15+15+11+11+19 you will be getting 71
Determine the angles θ where sin(θ)=12
A)30o and 120o
B)60o and 120o
C)30o and 150o
D)60o and 150o
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many solutions, which statement must be true?
A
The lines are parallel.
B
The lines intersect in one point.
C
The lines are the same.
D
None of the above
Answer:
c
Step-by-step explanation:
Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
So C would be the most accurate statement
please give brainiest
The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $1000 between newspaper advertising and radio advertising. Management decided that at least 25% of the budget must be spent on each type of media, and that the amount of money spent on local newspaper advertising must be at least twice the amount spent on radio advertising. A marketing consultant developed an index that measures audience exposure per dollar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the index for local newspaper advertising is 50 and the value of the index for spot radio advertising is 80, how should the restaurant allocate its advertising budget in order to maximize the value of total audience exposure?
a. Formulate a linear programming model that can be used to determine how the restaurant should allocate its advertising budget in order to maximize the value of total audience exposure.
b. Solve the problem using the graphical solution procedure.
Answer:
Step-by-step explanation:
to find the answer you will want to gather the indenpent varible and dependent varrible. SO when you look at the problem you see 25%. You have to find the amount of money on each thing they bought. The budget and how much they have to spend.
Mr X arranges to pay off a Debt of #9600 in 48 annual instalments which form an AP, when 40 of these instalments are paid, Mr X become insolvent,and he still owe his creditor #2400 find the value of each of the first three instalmentsof Mr X?
Answer:
The first 3 installments of Mr. X were $ 180.
Step-by-step explanation:
Since Mr X arranges to pay off a Debt of $ 9600 in 48 annual installments which form an AP, and when 40 of these installments are paid, Mr X become insolvent, and he still owe his creditor $ 2400, to find the value of each of the first three installments of Mr X the following calculation must be performed:
((9,600 - 2,400) / 40) = X
7,200 / 40 = X
180 = X
Therefore, the first 3 installments of Mr. X were $ 180.
A yogurt shop has 9 different flavors and 20 toppings. How many different combinations of single flavor, one topping yogurt can you create?
x = ?
Find the composite function 20 points and brainliest
How many cm are in 5mm
Answer:
0.5 cm
Step-by-step explanation:
Of the 600 people at a music festival, 420 had attended the previous year. how many people out of 100 had attended the previous year?
A 42
B 60
C 80
D 70
PLEASE HELP ME I NEED THE ANSWER NOW !!!!
Select all the ordered pairs that are solutions of the equation.
A. (-7, 1)
B. (-1,7)
C. (0,5)
D. (2,3)
E. (3, 2)
F. (5,0)
Answer:
B. (-1,7)
C. (0,5)
D. (2,3)
Step-by-step explanation:
We solve this question looking at the graphic.
A. (-7, 1)
When [tex]x = -7, y \rightarrow \infty[/tex], and thus (7,-1) is not solution of the equation.
B. (-1,7)
When [tex]x = -1, y = 7[/tex], and thus (-1,7) is a solution of the equation.
C. (0,5)
When [tex]x = 0, y = 5[/tex], and thus (0,5) is a solution of the equation.
D. (2,3)
When [tex]x = 2, y = 3[/tex], and thus (2,3) is a solution of the equation.
E. (3, 2)
When [tex]x = 3, y \neq 2[/tex], and thus (3,2) is not part of the solution
F. (5,0)
When [tex]x = 5, y \neq 0[/tex], and thus (5,0) is not part of the solution
Which digit in the following number is the one that determines its precision?
16.82
A. 8
B. 2
o
C. 6
D. 1
SUBMIT
Answer:
B. 2
Step-by-step explanation:
The precision of a scientific measuring tool can be defined as how close the values between multiple measurements are to each other, when repeated under the same conditions.
This ultimately implies that, the precision of a scientific measuring tool reflects the reproducibility and repeatability of its measurements, irrespective of how accurate the measurements are.
In science, one of the most effective ways to determine the precision of a scientific measuring tool is to find the difference between the highest and lowest measurements (measured values).
Given the following number; 16.82
The last digit "2" in 16.82 represents the hundredth value and should be used to determine the level of precision of the number.
The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.30 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters:
1.361.351.331.661.581.321.381.421.901.54
At the 0.050 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.
A.) State the null hypothesis and the alternate hypothesis.
H0: μ ≤ _____
H1: μ >_____
B.) State the decision rule for 0.050 significance level. (round to 3 decimal places)
C.) Compute the value of the test statistic. (round to 3 decimal places)
D.) At the 0.050 level, can we conclude that water consumption has increased?
E.) Estimate the p-value.
Answer:
H0: μ ≤ 1.30
H1: μ > 1.30
|Test statistic | > 1.833 ; Reject H0
Test statistic = 3.11
Yes
Pvalue = 0.006
Step-by-step explanation:
H0: μ ≤ 1.30
H1: μ > 1.30
Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54
Xbar = 14.84 / 10 = 1.484
Standard deviation, s = 0.187 (calculator)
Decison rule :
|Test statistic | > TCritical ; reject H0
df = n - 1 = 10 - 1 = 9
Tcritical(0.05; 9) = 1.833
|Test statistic | > 1.833 ; Reject H0
Test statistic :
(xbar - μ) ÷ (s/√(n))
(1.484 - 1.30) ÷ (0.187/√(10))
0.184 / 0.0591345
Test statistic = 3.11
Since ;
|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased
Pvalue estimate using the Pvalue calculator :
Pvalue = 0.006
The weight, in pounds, of a newborn baby tt months after birth can be modeled by the equation W=1.75t+6.W=1.75t+6. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
the slope is 1.75
Step-by-step explanation:
Interpretation: The weight of newborn is 6 lb at birth, and every month baby gained 1.75 lb. You replace x with month you want to know the weight. For example you can calculate the weight after 4 month : w= 1.75(4)+6= 13 lb
Why is it important for a company to create an income statement?
What is the solution set to the equation
15 – 4x = x2 - 6x ? Show your work algebraically.
Answer:
The solution of given expression = 5 , -3
Step-by-step explanation:
Given expression;
15 - 4x = x² - 6x
Find:
The solution of given expression
Computation:
15 - 4x = x² - 6x
x² - 6x + 4x - 15 = 0
x² - 2x - 15 = 0
x² - (5 - 3)x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x - 5)(x + 3) = 0
So,
x - 5 = 0 and x + 3 = 0
x = 5 and x = -3
The solution of given expression = 5 , -3
In your own words, explain how to factor a quadratic expression
Step-by-step explanation:
With the quadratic equation in this form: [tex]ax^2+bx+c=0[/tex]
Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.
Example: 2x^2 + 7x + 3
ac is 2×3 = 6 and b is 7
So we want two numbers that multiply together to make 6, and add up to 7
In fact 6 and 1 do that (6×1=6, and 6+1=7)
How do we find 6 and 1?
It helps to list the factors of ac=6, and then try adding some to get b=7.
Factors of 6 include 1, 2, 3 and 6.
1 and 6 add to 7, and 6×1=6.
Step 2: Rewrite the middle with those numbers:
Rewrite 7x with 6x and 1x:
2x^2 + 6x + x + 3
Step 3: Factor the first two and last two terms separately:
The first two terms 2x^2 + 6x factor into 2x(x+3)
The last two terms x+3 don't actually change in this case
So we get:
2x(x+3) + (x+3)
Step 4: If we've done this correctly, our two new terms should have a clearly visible common factor.
In this case we can see that (x+3) is common to both terms, so we can go:
Start with: 2x(x+3) + (x+3)
Which is: 2x(x+3) + 1(x+3)
And so: (2x+1)(x+3)
Done!
Check: (2x+1)(x+3) = 2x2 + 6x + x + 3 = 2x2 + 7x + 3 (Yes)
Please Mark As Brainliest
Me jackson buys 4 kilograms of peanuts at the sale how many grams of peanuts does he get in all
Keep in mind : buy 2 kg peanuts get 300 g free
Answer:
4600 grams of peanuts
Step-by-step explanation:
For 2 kg of peanuts the customer will get 300 g free.
So if 4 kg of peanuts the customer will get 600 g free.
1kg = 1000g
If 4kg, thus it is 4000g
All mass of peanut the customer gets is 4000g + 600g = 4600g of peanuts.