This is the graph of a NON-LINEAR FUNCTION
The y intercept of the graph is the function value y=-6
The x intercepts of the graph are located at x=2 and x=6
The greatest value of y is y= 2 and it occurs when x=4
For x between x=2 and x=6, the function value y≥0
Hope this helped :>
lotteries in a new york state daily lottery game, a sequence of four digits (not necessarily different) in the range 0-9 are selected at random. find the probability that all four are different.
The probability that all four are different is 0.504
What is Probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
A sequence must have at least 4 digits.
The entire set of potential ways is n. (T)
where the four digits, chosen at random from 0 to 9, are in the following order:
n(T) =10^4
=10000
Let A be the instance that symbolizes the string of four digits.
There are a total of four distinct ways to choose the four-digit sequence.
n(A) = 10C4 x 4!
= [10!/4!(10! - 4!)] x 4!
= [10!/4!(6!)] x 4!
= [10 x 9 x 8 x 7 x 6!/4!(6!)] x 4!
= [10 x 9 x 8 x 7 ]
n(A) = 5040
Calculate the likelihood that each of the four is unique:
P(A)=n(A)/n(T)
= 5040/10000
= 0.504
Therefore, there is 0.504 chance that each of the four is unique.
To learn more about Probability click on the link
https://brainly.com/question/24756209
#SPJ4
What is the value of the expression below when z=5 and w=5
9z-3w
Answer:
you should get 30 as an answer
Step-by-step explanation:
9*5=45
3*5=15
45-15=30
A study was recently conducted of 20 men, and the sample mean was found to be 142.6
and the sample standard deviation was 43.33. To find the 90 percent confidence interval estimate for the
mean, the correct critical value to use is: O 2.0930 O 1.7291 O 1.645 O 1.7247
The correct critical value to use when finding a 90 percent confidence interval estimate for the mean is 1.7291.
The correct critical value to use when finding a 90 percent confidence interval estimate for the mean depends on the sample size and the desired level of confidence. In this case, since the sample size is 20 and the desired level of confidence is 90 percent, we need to use a t-distribution to find the critical value.
To find the critical value, we need to determine the degrees of freedom, which is equal to the sample size minus 1. In this case, the degrees of freedom would be 20 - 1 = 19.
Next, we need to find the critical value from the t-distribution table or a statistical calculator. The critical value for a 90 percent confidence interval with 19 degrees of freedom is approximately 1.7291. Therefore, the correct critical value to use in this case is 1.7291.
To know more about mean refer for:
https://brainly.com/question/1136789
#SPJ11
questions: 27.32 x 48.97step bye step: Answer:
27.32 x 48.97
multiplying this will give 1337.8604
pls help me with this
Answer: A)72.8067226km/hr (final asnwer)
b) volume of a cube= a^3 (sides^3) =4.5^3= 91.125 cm^3 (final asnwer)
c) 1 day cost= $(35.9 +11.55 + 35) =$82.45
therefore for 5 days= $82.45 * (multiplied) by 5 = $412.25 (final asnwer)
Step-by-step explanation:
Answer:
(a)≈72.8 kilometer per hour
(b)91.125 cm^3
(c)272.25$
Step-by-step explanation:
(a)speed=mile/hour
=371mile/8.2hours
=371×1.609kilometers/8.2hours
≈72.8 kilometer per hour
(b)the vol: of cube= a^3 (a=side)
=(4.5)^3
=91.125cm^3
(c) for 5 days, (35.9×5)+(11.55×5)+35 ($35 is ofor one-off charge so there is no need to multiply with 5)
=272.25$
(e) cos² (ω).* t) = (¹/2) + (¹/2)* cos (2*ω.*t)
(f) sin² (ω.* t) = (¹/2) - (¹/2)* cos (2*ω.*t)
(g) sin (n*ω. *t) * sin (m*ω.* 1) = (1/2)*cos [ (n-m)*ω.*t)] - (1/2)* [cos [ (n+m)*ω. *t)] for any integer n, m and ω
(h) sin² (ω.*t) + cos² (ω.*t) = 1 for any integer ω[choose 2≤w≤6], over 2 time cycle.
need the MATLAB code for these problems here please
only the code no graphs
Here's the MATLAB code for each problem:
(e) Code for cos²(ωt) = (1/2) + (1/2)cos(2ωt):
matlab
Copy code
t = linspace(0, 2*pi, 1000); % Time vector
omega = 1; % Choose the value of omega
y = (1/2) + (1/2)*cos(2*omega*t);
(f) Code for sin²(ωt) = (1/2) - (1/2)cos(2ωt):
matlab
Copy code
t = linspace(0, 2*pi, 1000); % Time vector
omega = 1; % Choose the value of omega
y = (1/2) - (1/2)*cos(2*omega*t);
(g) Code for sin(nωt) * sin(mωt) = (1/2)*cos((n-m)ωt) - (1/2)*cos((n+m)ωt):
matlab
Copy code
t = linspace(0, 2*pi, 1000); % Time vector
omega = 1; % Choose the value of omega
n = 2; % Choose the value of n
m = 1; % Choose the value of m
y = (1/2)*cos((n-m)*omega*t) - (1/2)*cos((n+m)*omega*t);
(h) Code for sin²(ωt) + cos²(ωt) = 1:
matlab
Copy code
t = linspace(0, 4*pi, 1000); % Time vector
omega = 2:6; % Choose the values of omega
y = sin(omega.*t).^2 + cos(omega.*t).^2;
Note: In all the codes, the variable t represents the time vector and y represents the corresponding function values. Adjust the parameters (such as the time range, number of points, and the values of omega, n, and m) according to your requirements.
To know more about MATLAB, visit:
https://brainly.com/question/30763780
#SPJ11
Here is the MATLAB code for the given problems:(e) cos² (ω.*t) = (¹/2) + (¹/2)*cos(2*ω.*t):t = lin space(0, 10, 1000);omega = 1.5;figure plot(t, cos(omega .* t).^2)hold on plot(t, 0.5 + 0.5*cos(2*omega .* t))
title("Plot of cos^2(wt)")x label("t")y label("y")legend("cos^2(wt)", "0.5 + 0.5*cos(2wt)")hold off(f) sin² (ω.*t) = (¹/2) - (¹/2)*cos(2*ω.*t):t = linspace(0, 10, 1000);omega = 1.5;figure plot(t, sin(omega .* t).^2)hold on plot(t, 0.5 - 0.5*cos(2*omega .* t))title("Plot of sin^2(wt)")x label("t")y Label("y")legend("sin^2(wt)", "0.5 - 0.5*cos(2wt)")hold off(g) sin(n*ω.*t) * sin(m*ω.*t) = (1/2)*cos[(n-m)*ω.*t)] - (1/2)*cos[(n+m)*ω.*t)]:t = linspace(0, 10, 1000);omega = 1.5; n = 3; m = 2;figure plot(t, sin(n*omega.*t).*sin(m*omega.*t))hold on plot(t, 0.5*cos((n-m)*omega.*t) - 0.5*cos((n+m)*omega.*t))title("Plot of sin(wt)*sin(wt)")xlabel("t")ylabel("y")legend("sin(wt)*sin(wt)", "0.5*cos((n-m)wt) - 0.5*cos((n+m)wt)")hold off(h) sin² (ω.*t) + cos² (ω.*t) = 1:for omega = 2:6t = linspace(0, 10, 1000);
Figure plot(t, sin(omega.*t).^2 + cos(omega.*t).^2)title("Plot of sin^2(wt) + cos^2(wt)")x label("t")y label("y")end.
To know more about MATLAB, visit:
https://brainly.com/question/13974197
#SPJ11
Given the following set of data, which measures have a value of 6? (Check all that apply.)3,4,6,8,9rangemodemedianmean
HELP PLEASE, LOOK AT PICTURE FOR WHOLE PROBLEM.. PLEASE ANSWER QUICK I DON'T HAVE MUCH TIME LEFT TO ANSWER
Answer:
2\(\sqrt{8}\)
Step-by-step explanation:
According to Euclidian theorem :
h^2 = 4*8
h^2 = 32 find the root for both sides
h = 2\(\sqrt{8}\)
Which best describes the relationship between the successive terms in the sequence shown? 2.4, –4.8, 9.6, –19.2
Answer:
Geometric Sequence
Step-by-step explanation:
Since we are multiplying each successive term by common ratio r of -2, we have our sequence:
\(a_n = 2.4(2)^{n-1}\)
Answer:
They're multiplied by -2.
Step-by-step explanation:
If we analyze the terms in the sequence, we can see that the numbers are alternating between positive and negative values. So, the terms in the sequence have to do with multiplication and division instead of addition and subtraction.
In order to find out how much each value was multiplied, we need to divide.
-4.8 / 2.4 = -48 / 24 = -2
9.6 / -4.8 = 96 / -48 = -2
-19.2 / 9.6 = -192 / 96 = -2
All of the terms appear to be multiplied by the same term: -2. So, the relationship between the successive terms in the sequence shown is that they are all multiplied by -2.
Hope this helps!
The base of a triangle is g mand the height is 27m.
Express the area of the triangle in terms of m.
36 m2
9 m2
27 m2
Answer:
Step-by-step explanation:
Your answer is correct
4
Which of the following algebraic expressions correctly represents the phrase "fifteen less than twice a number"?
Answer:
You didnt list any options
Step-by-step explanation:
Please help me with this math problem
Answer:
18vw²y^9 + 24v^6w^5
= 6vw²( 3y^9 + 4v^5w³)
Hope this helps.
Answer:
6vw^2(3y^9 + 4v^5w^3)
Step-by-step explanation:
If you were to multiply the equation 6vw^2(3y^9 + 4v^5w^3) then the result would be
18vw^2y^9 + 24v^6w^5
Hope this helps!
What fraction is at point A on the number line below? А ++ 0 + 1 Use the number pad to enter your answers in the boxes.
Answer:
1/2 .Step-by-step explanation: on the number line, draw the number line and mark a point A to represent 1. Now, divide the gap between O and A into two equal parts
David has a thousand trees.
He wants to plant the trees in rows.
He wants 73 trees in each row.
How many full rows of trees can David plant?
Answer:
13
Step-by-step explanation:
1000 / 73 = 13.69 , but it asks for full rows so you get rid of the decimal if it can't be round up to a whole number
Answer:
ANSWER:
13
So he can make 13 full rows of 73 trees
and 69 in another row
Find the slope of the line passing through the points (4,5) and (4.-8).
slope:
Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?
Answer: The area of one wall is 216.72 ft^2.
Step-by-step explanation:
16.8 * 12.9 = 216.72
in a 2 x 3 between subjects anova, how many total groups are there?
In a 2 x 3 between subjects ANOVA, there are a total of 6 groups. The first factor, with 2 levels, divides the participants into two distinct groups. The second factor, with 3 levels, further divides each of the two groups into three subgroups. This results in a total of 6 groups.
In this design, each group consists of a unique combination of the two factors, ensuring that each participant is assigned to only one group.
The purpose of conducting a between-subjects ANOVA is to examine the main effects of each factor, as well as any possible interactions between them, on a dependent variable.To illustrate, let's say we are conducting a study on the effects of a new medication on anxiety levels. The first factor may be gender, with two levels: male and female. The second factor may be dosage, with three levels: low, medium, and high. This results in six groups: male/low dosage, male/medium dosage, male/high dosage, female/low dosage, female/medium dosage, and female/high dosage. It's important to note that each group should have a sufficient number of participants to ensure statistical power and reliability of the results. Additionally, the number of groups can impact the complexity of the statistical analysis and interpretation of the findings.Know more about the ANOVA,
https://brainly.com/question/30762844
#SPJ11
You and 3 friends go bowling. You bowl for 2.5 hours. You play 3 games and the total cost is $42.
Find the average rate of games per hour
Answer:
if you play 3 games and the total cost equals to 42
then just do 42 divided by 3 which is 14 so that should be your answer!
Step-by-step explanation:
im very sorry if i get it wrong im only trying to help
so i hope its correct
If you place these marbles in a bag,close your eyes, and choose a marble,what is the probability that it will bepink?Simplify the fraction.Enter the number that belongs in the green box.
In this case, the probability is given by the following expression:
Probability = number of pink marbles / total number of marbles
There are 3 pink marbles out of 14 marbles, then we get:
Probability = 3/14
Then, the probability of getting a pink marble is 3/14
What is an equation of the line that passes through the point (-4,3) and is
perpendicular to the line 4x - 5y = 20?
Answer:
5x + 4y = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - 5y = 20 ( subtract 4x from both sides )
- 5y = - 4x + 20 ( divide all terms by - 5 )
y = \(\frac{4}{5}\) x - 4 ← in slope- intercept form
with slope m = \(\frac{4}{5}\)
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{4}{5} }\) = - \(\frac{5}{4}\) , thus
y = - \(\frac{5}{4}\) x + c ← is the partial equation
To find c substitute (- 4, 3) into the partial equation
3 = 5 + c ⇒ c = 3 - 5 = - 2
y = - \(\frac{5}{4}\) x - 2 ← in slope- intercept form
Multiply through by 4
4y = - 5x - 8 ( add 5x to both sides )
5x + 4y = - 8 ← equation in standard form
11) MZHGF = 16x + 4, m EGF = 110°,
and MZHGE = 3x + 11. Find x.
G
H
F
E
=======================================================
Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
--------------------
Extra info (optional section)
Use this x value to find each angle shown below
angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degreesangle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degreesThen notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
9514 1404 393
Answer:
11) x = 9°
13) x = -12°
Step-by-step explanation:
11) ∠HGE +∠EGF = ∠HGF
(3x +11) +(110°) = (16x +4)
117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms
9° = x . . . . . . . . . . . . divide by 13
__
13) ∠BCF +∠FCD = ∠BCD
(x +78) +(x +41) = 95°
2x = -24°
x = -12°
a finite line segment is drawn from ( 0. , 4.) and ( 4. , 0. ) -- what is its parametric line segment equation?
The parametric equation of the line drawn ( 0. , 4.) and ( 4. , 0. ) is x + y - 4 = 0
A finite line segment is drawn from two points
Let the point be A and B
The co ordinates of the point A is (0, 4) and the co ordinates of the point B is (4, 0)
The equation of the line can be
y - y₁ =( (y₂-y₁)/(x₂ - x₁))(x - x₁)
y - 4 = ((4 - 0)/(0 - 4))(x - 0)
y - 4 = (4/-4)(x - 0)
y - 4 = -1(x - 0)
y - 4 = -x
y + x -4 = 0
Therefore, the parametric equation of the line drawn from ( 0. , 4.) and ( 4. , 0. ) is x + y - 4 = 0
To learn more about parametric equation refer here
https://brainly.com/question/27247899
#SPJ4
What is 86 Inches in Feet?
86 inches are equivalent to 7.17 feet
To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):
86 inches ÷ 12 inches/foot = 7.17 feet
The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).
Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.
Inches and feet are often used to measure an object's height, breadth, and length in the United States.
For more such questions on measurement
https://brainly.com/question/777464
#SPJ4
1. The spinner shown below is spun once. Determine the probability of
the spinner landing on the letters P or M.
A 1 out of 2
B 1 out 3
C 1 out of 6
D 2 out of 5
Answer:
1 out of 3
Step-by-step explanation:
Two desired outcomes and six total outcomes which is 2/6 simplified is 1/3
Based on the table below, what is the relationship between cups and tablespoons?
Answer:
the answer is A
Step-by-step explanation:
The first of two numbers added to two times the second equals 9. The first number decreased by the second equals 3. Find the numbers.
Answer:
18 and 6
Step-by-step explanation:
i know this because all you have to do is multiply the tow numbers by 2
a score of x = 70 on an exam with µ = 82 and σ = 8, or a score of x = 60 on an exam with µ = 72 and σ = 12?
A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.
To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:
z = (70 - 82) / 8 = -1.5
For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:
z = (60 - 72) / 12 = -1.0
The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.
For more questions on Z-Score
https://brainly.com/question/28000192
#SPJ4
Daniel wants to order shirts on the internet. Shirts cost $20.00 and shipping on all orders is $10.99. Daniel has $50 to spend.
Answer:
$31.00
Step-by-step explanation:
20+10=30=1 (tax)
a jar is filled with 1000 jelly beans . A random sample of 15 is taken from the jar and it is found to contain 2 black , 4 green , 6 red , and the rest orange . Of the 1000 jelly beans in the jar. The expected number of black jelly beans and orange jelly beans respectively be :
A. 267,200
B. 257,300
C. 133,300
D. 133, 200
The answer would be B. 257,300
HELP PLSSS THIS IS HARD SOMEONE
Answer:
It should be last choice
Answer:
D
Step-by-step explanation:
add 2 to the x value then add 2 to the y value