Answer:
b.likley
Step-by-step explanation:
We can look at this like if we have less than a 50% probability it would be unlikley, vice versa if we have a more than a 50% probability than it will be likley. and if we had exactly 50% iit will be none, but in this case we have 85% which is more than 50% so its likley. hope this helped bae
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
-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
Question 1 (1 point)
John started with $1,000 in an investment account. Each year the money in the account doubled. If there is currently $16,000 in the
investment account, how many years have passed since the account was opened?
years
Answer:
4 yrs have passed since the account was opened
Three quarters of the 12 farms breed cattle. How many farms breed cattle?
Answer:
Your answer is 9 farms breed cattle.
Step-by-step explanation:
(3/4)*12 = 9
or
.75*12 = 9
Answer:
9
Step-by-step explanation:
Three quarter means ¾
¾ of 12
3 × 3
9
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
Dan is helping to build a stage for a concert.
4 m
3 m
3 m
3.5 m
12 m
He needs to order some non-slip flooring for the stage.
Calculate the area of the stage.
Answer: 37m
Step-by-step explanation:
Convert 300cm into m = 3m
6 + 6 + 3 + 3 + 3.5 + 3.5 + 12 = 37m
1. You borrow $500 from a bank with a 5% annual interest and
the maturity date is in 3 years
a. How much would you pay in interest at the end of the
loan if you pay simple interest
b. How much would you pay in interest at the end of the
loan if you pay in compound interest
Answer:
Step-by-step explanation:
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
What is the volume of the prism, In cubic inches?
Answer:
55 in²
Step-by-step explanation:
Base x Height
5,2,4 does this make a triangle
Answer:
Yes
Step-by-step explanation:
Two numbers have to be greater than the other one or it does not make a triangle.
5+2>4, 7>4 true
5+4>2, 9>2 true
4+2>5, 6>5 true
If this helps please mark as brainliest
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 first term of an arithmetic sequence is 10 and the sum of the first five terms is 250,find the sequence
Answer:
The sequence is:
10, 30, 50, 70, 90.....................
Step-by-step explanation:
We have,
First term (a) = 10
Common difference (d) = ?
Sum of first 5 terms ([tex]S_{5}[/tex]) = 250
or, [tex]\frac{n}{2} [{2a+(n-1)d}] = 250[/tex]
or, [tex]\frac{5}{2} [2*10 + 4d]=250[/tex]
or, [tex]\frac{5}{2} * 4[5+d]=250[/tex]
or, 10(5 + d) =250
or, 5 + d = 25
∴ d = 20
Now,
2nd term = a + d = 10 + 20 = 30
3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50
4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70
5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90
find the vertex and the x- and y- intercept of the following quadratic equations
y = 5x² +15x+10
Answer:
x int. (-1,0) and (-2,0). y-int,(0,10)
Step-by-step explanation:
y-int. it's 10 because the y-int is always the c value.
x-int.
x=-b±√b²-4ac/2a
x=-15±√15²-4(5)(10)/2(5)
x=-15±√225-200/10
x=-15±√25/10
x= -15+5/10. x=-15-5/10
x=-10/10. x=-20/10
x=-1. x=-2
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]
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
A high school drama club is selling tickets for a fundraiser event. Based on data from past events, the number of tickets sold can be modeled by a linear function Q(x)=-40x+640, where x is the price, in dollars, of each ticket.
Answer:
600 or 16
Step-by-step explanation:
Answer:
A high school drama club is selling tickets for a fundraiser event. Based on data from past events, the number of tickets sold can be modeled by a linear function Q(x)=-40x+640, where x is the price, in dollars, of each ticket.
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.
Can someone Please help
Answer:
80
Step-by-step explanation:
20+80+x=180
100+x=180
x=180-100
x=80
plz mark as brainliest
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!
Find the common difference of the arithmetic sequence -2,6,14,...
Lets note the change between each of the numbers in the sequence:
-2 --> 6 ---> 14
Next, make an equation between each of these numbers with x being the change between them
-2+ x = 6, 6 + x = 14 .
Now, solve each of these equations:
-2+ x = 6 --> -2+ x = 6 Add 2 on both sides to cancel out the -2 --> x = 8
6+ x = 14 --> -2+ x = 6 Minus 6 on both sides to cancel out the 6 --> x = 8
From this, the common difference will be 8.
Hope that helps.
Why is it important for a company to create an income statement?
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
Find the value of x.
PLEASE HELP MEEEE!!! PLEASE AND THANK YOUU!!
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.
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
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
Determine the angles θ where sin(θ)=12
A)30o and 120o
B)60o and 120o
C)30o and 150o
D)60o and 150o
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
which pair of words describes this system of equations 3y=9x-6 2y+6x=4
Answer:
Consistent and dependent
Step-by-step explanation:
Given
[tex]3y = 9x - 6[/tex]
[tex]2y + 6x = 4[/tex]
Required
The words that describe the equations
Make y the subject in (2)
[tex]2y + 6x = 4[/tex]
Collect like terms
[tex]2y = 4 - 6x[/tex]
Divide through by 2
[tex]y = 2 - 3x[/tex]
Substitute: [tex]y = 2 - 3x[/tex] in (1)
[tex]3y = 9x - 6[/tex]
[tex]3(2 - 3x) = 9x - 6[/tex]
[tex]6 - 9x = 9x - 6[/tex]
Collect like terms
[tex]9x+9x = 6+6[/tex]
[tex]18x = 12[/tex]
Solve for x
[tex]x = \frac{12}{18}[/tex]
Simplify
[tex]x = \frac{2}{3}[/tex]
Substitute [tex]x = \frac{2}{3}[/tex] in [tex]y = 2 - 3x[/tex]
[tex]y = 2 - 3*\frac{2}{3}[/tex]
[tex]y = 2 - 2[/tex]
[tex]y =0[/tex]
So, we have:
[tex]x = \frac{2}{3}[/tex] and [tex]y =0[/tex]
The system is consistent because it has at least 1 solution
The system is dependent because it has more than 1 solution
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]
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