Answer:
The inequality shown in the graphic is [tex]y > 4x + 1[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0).
Inequality:
Values greater than the dashed line, dashed so the line is not part of the inequality, thus, the inequality is:
[tex]y > mx + b[/tex]
Dashed line:
The dashed line goes through (0,1) and (1,5).
Point (0,1) means that when [tex]x = 0, y = 1[/tex], so [tex]b = 1[/tex], and:
[tex]y > mx + 1[/tex]
Finding the slope:
When we have two points, the slope is given by the change in y divided by the change in x. In this question, we have point (0,1) and (1,5), so:
Change in y: 5 - 1 = 4
Change in x: 1 - 0 = 1
Slope: [tex]m = \frac{4}{1} = 4[/tex]
What inequality is shown in the graph?
[tex]y > 4x + 1[/tex]
I’m so confused. Need the help
1.621 kN
Step-by-step explanation:
Let the centerline of the canal be the x-axis. Because the forces exerted by the horses are symmetric to the centerline, only the x-components of these forces contribute to the resultant force on the barge, i.e., the y-components cancel out. Each x-component is equal to [tex]F_x = 839\cos 15[/tex] = 810.4 N. Therefore, the resultant force on the barge is twice this:
[tex]F_{net} = 2(839\:\text{N})\cos 15 = 1620.8\:\text{N}[/tex]
[tex]= 1.621\:\text{kN}[/tex]
The table shows the distribution, by age and gender, of the 31.6 million people who live alone in a certain region. Use the data in the table to find the probability that a randomly selected person living alone in the region is in the 25-34 age range.
The probability is ___.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:
0.1487
Step-by-step explanation:
From the table :
The total number of people living alone in the region = 31.6
The number of people living in the region who fall with the 25 - 34 age range is 4.7
Probability, P = required outcome / Total possible outcomes
P(range 25 - 34) = (number of people who fall within the 25 - 34 age range) / total population
P(range 25 - 34) = 4.7 / 31.6 = 0.1487
please answer all the questions and get 15 pts
Answer:
Here you go
Ans is in pictures.
A rectangular dance floor has a width of 12 meters and a length of 16 meters. What is the length of a diagonal of the dance floor? moters
Answer:
20
Step-by-step explanation:
The diagonal of a rectangle can be found using the formula:
[tex]\sqrt{(l^2 + w^2)}[/tex]
Due to yet another road construction project in her city, Sarah must take a detour to get from work to her house. Not convinced the detour is the shortest route, Sarah decided to perform an experiment. On each trip, she flips a coin to decide which way to go; if the coin flip is heads, she takes the detour and if it's tails, she takes her alternative route. For each trip, she records the time it takes to drive from work to her house in minutes. She repeats this procedure 13 times. Sarah wants to know if the mean driving time for the alternative route is different from the mean driving time for the detour. Based on the p-value there was moderate evidence against the null hypothesis.
Select the appropriate statement for this hypothesis test.
a. There is little to no evidence to conclude the mean driving time for the alternative route is the same as the mean driving time of the detour.
b. There is little to no evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.
c. There is moderate evidence to conclude the mean driving time for the alternative route is the same as the mean driving time of the detour.
d. There is moderate evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.
Answer:
b). There is little to no evidence to conclude the mean driving time for the alternative route is different from the mean driving time of the detour.
Step-by-step explanation:
The most adequate statement to examine the proposition is that 'there is lack of adequate evidence to substantiate the claim that the mean time taken for driving through the detour and the alternative route is distinct.' This will help in testing that there is a lack of evidence to establish the validity or truth of the proposition that if the detour is actually shorter than the alternative route or not. No data has been provided to clarify that the mean driving time in both routes traveled by Sarah was varied. Hence, option b is the correct answer.
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
TELL ME WHERE TO PUT EACH POINT
how to work this problem 736.5 x .78
which of the following is equal to 7 1/4
Answer:
29/4
Step-by-step explanation:
convert to improper fraction
!!!!!!!!PLEASE HELP NOW !!!!!!!!!!!!!!!!!!
What is the following product?
45 47 47.45
4(977)
O AN
74
7
Answer:
7
Step-by-step explanation:
You can convert the fourth square roots to [tex]7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}}[/tex]. Using the product of powers rule, we can add the four terms' exponents, resulting in [tex]7^1[/tex], which is 7.
there are 10 crates of eggs stacked in the corner. each crate of eggs holds 20 eggs. If there is only 1 broken egg in the entire stack of crates, what percent of the crates have broken eggs in them?
Answer: 5%
Step-by-step explanation: If there is one broken egg in each crate (1/20), you would change that to5%
And if there are ten crates, then you see how many eggs there a re total.
(10 × 20 = 200)
If there are 200 eggs and for every 20 eggs there is on broken one, then there will be 10 broken eggs total. or 10/200
convert the fraction to a decimal ( 10 ÷ 200 = .05)
then convert the decimal to a percent. .05 is equal to 5%
PLEAZE RATE BRAINLIEST!!!
The jury pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individuals in the population who may be called for jury duty. The proportion of the available jurors on the population list who are Hispanic is .40. A jury of size 12 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury.
a. What is the expected number of hispanic jurors being on the jury?
b. What is the expected value (or theoretical mean) of a great earthquake off the coast of Oregon in two years?
c. Use the poisson distribution to appropriate the probability that there will be at least one major earthquake in the next two years.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Have a Spanish Jury possibility[tex]= 0.40[/tex]
Jury member No. to be chosen[tex]= n= 12[/tex]
Hispanic Juror Expected [tex]= np = 12\times 0.40 = 4.8[/tex]
The jury group will be constituted by Hispanic Jurors [tex]4.8[/tex]
OR
The binomial distribution defines the behavior of a count variable X, provided:
There are a set number of data points n.
Set [tex]n=12[/tex]
Each perception is independent. This will not affect others if your first juror is selected
One of two results is that each observation ("success" or "failure"). English or not
Each result has the same chance of "success" p. for every [tex]p=0.40[/tex]
Well by the binomial distribution. Mean[tex]=E(x)=np=4.8[/tex]
help with num 9 please. thanks
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
[tex]f(x) = e^x - e^{-x}[/tex]
Increases for all values of x.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
[tex]\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right][/tex]
Differentiate:
[tex]\displaystyle f'(x) = e^x - (-e^{-x})[/tex]
Simplify:
[tex]f'(x) = e^x+e^{-x}[/tex]
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of x.
If angle ACB is congruent, and angle BAC=3x-10, angle ECD=45 and angle EDC=2x+10 what is x?
Answer:
x=20
Step-by-step explanation:
Since BAC and EDC are the same (ACB and DCE are congruent), 2x+10=3x-10, x=20
A square with a side of 8 cm is enlarged by a scale factor of 3. What would be the side length of the new square?
22 cm
20 cm
18 cm
24 cm
Answer:
24cm
Step-by-step explanation:
Length = 8 × 3
= 24cm
hope it helps
Diane bought new headphones originally listed for $70.99. They are 25% off. Which equation can be used to find the amount Diane will save?
Step-by-step explanation:
100% = $70.99
there is a discount of 25%.
that means 75% (100 - 25) of the original price remains.
the equation to get any x% amount of a 100% total is simply
x% amount = 100% total amount × x/100
25% = 70.99 × 25/100 = $17.75
Describe the domain and range of the graph
Domain={-5,4}
Range={-3,4}
(752+158)-625
Compute in most convenient way
Answer:
285
Step-by-step explanation:
First, you would add 752 and 158. The sum is 910. Then, you subtract 625 and get 285.
#16 What is the value of x?
Answer:
x = 25 , x = 136
Step-by-step explanation:
(15)
The opposite angles of a cyclic quadrilateral are supplementary , sum to 180°
3x + 105 = 180 ( subtract 105 from both sides )
3x = 75 ( divide both sides by 3 )
x = 25
(16)
The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, then
x = [tex]\frac{1}{2}[/tex] (VW + UX) = [tex]\frac{1}{2}[/tex](115 + 157) = [tex]\frac{1}{2}[/tex] × 272 = 136
Now suppose that not every player can play in every position. The outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch. Suppose a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers.
How many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled?
Answer:
The team can assign field positions to 9 of the 19 players in 181,440 different ways.
Step-by-step explanation:
Since the outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch, supposing a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers, to determine how many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled, the following calculation must be performed:
3 x 7 x 6 x 5 x 4 x 3 x 4 x 3 x 2 = X
21 x 30 x 12 x 24 = X
630 x 12 x 24 = X
181,440 = X
Therefore, the team can assign field positions to 9 of the 19 players in 181,440 different ways.
Help plzzz 60 points
Answer:
Neither lines r and s nor lines t and u must be parallel from the information given
Step-by-step explanation:
<2 and <4 are vertical angles so they are always equal
<5 and <7 are vertical angles so they are always equal
We are not given any information to tell if any of the lines are parallel
Neither lines r and s nor lines t and u must be parallel from the information given
I made a comment about this but I mean, free 30 points.
I think the answer is the last one. It only mentions <2 = <4 and <5 = <7. Nowhere does it say <2 =< 5 for example. So it can be any two lines of which don't have to be parallel to each other.
Consider the sequence {an}={3n+13n−3n3n+1}. Graph this sequence and use your graph to help you answer the following questions.
Part 1: You can simplify [tex]a_n[/tex] to
[tex]\dfrac{3n+1}{3n}-\dfrac{3n}{3n+1} = \dfrac1{3n}+\dfrac1{3n+1}[/tex]
Presumably, the sequence starts at n = 1. It's easy to see that the sequence is strictly decreasing, since larger values of n make either fraction smaller.
(a) So, the sequence is bounded above by its first value,
[tex]|a_n| \le a_1 = \dfrac13+\dfrac14 = \boxed{\dfrac7{12}}[/tex]
(b) And because both fractions in [tex]a_n[/tex] converge to 0, while remaining positive for any natural number n, the sequence is bounded below by 0,
[tex]|a_n| \ge \boxed{0}[/tex]
(c) Finally, [tex]a_n[/tex] is bounded above and below, so it is a bounded sequence.
Part 2: Yes, [tex]a_n[/tex] is monotonic and strictly decreasing.
Part 3:
(a) I assume the choices are between convergent and divergent. Any monotonic and bounded sequence is convergent.
(b) Since [tex]a_n[/tex] is decreasing and bounded below by 0, its limit as n goes to infinity is 0.
Part 4:
(a) We have
[tex]\displaystyle \lim_{n\to\infty} \frac{10n^2+1}{n^2+n} = \lim_{n\to\infty}10+\frac1{n^2}}{1+\frac1n} = 10[/tex]
and the (-1)ⁿ makes this limit alternate between -10 and 10. So the sequence is bounded but clearly not monotonic, and hence divergent.
(b) Taking the limit gives
[tex]\displaystyle\lim_{n\to\infty}\frac{10n^3+1}{n^2+n} = \lim_{n\to\infty}\frac{10+\frac1{n^3}}{\frac1n+\frac1{n^2}} = \infty[/tex]
so the sequence is unbounded and divergent. It should also be easy to see or establish that the sequence is strictly increasing and thus monotonic.
For the next three, I'm guessing the options here are something to the effect of "does", "may", or "does not".
(c) may : the sequence in (a) demonstrates that a bounded sequence need not converge
(d) does not : a monotonic sequence has to be bounded in order to converge, otherwise it grows to ± infinity.
(e) does : this is true and is known as the monotone convergence theorem.
What is the vertex of the graph of y = 2(x + 5)2 - 2?
Answer:
The vertex is (-5, -2)
Step-by-step explanation:
y = 2(x + 5)^2 - 2
The vertex form of a parabola is
y =a(x-h)^2 +k where (h,k) is the vertex
y = 2(x - -5)^2 - 2
The vertex is (-5, -2)
What is the length of ef in the right triangle below 25 7
Answer:
Can we see the picture?
Step-by-step explanation:
Help please :c
What is the probability that a randomly selected student from your group is a 9th grader?
What is the probability that a randomly selected student from your group prefers comedy?
What is the probability that a randomly selected student does not prefer action?
What is the probability that a student prefers comedy, given that the student is in the 10th grade?
What is the probability that a student does not prefer action, given that the student is in 9th grade?
Answer:
1/4
3/8
5/8
2/5
Step-by-step explanation:
From the table :
1.)
P(9th grade) = (9th grade total / total) = 4 / 16 = 1/4
2.)
P(comedy) = (comedy total / total) = 6 / 16 = 3/8
3.)
P(not action) = 1 - P(action) = 1 - (action total / total) = (1 - 6/16) = 1 - 3/8 = 5/8
4.)
P(comefy | 10th grade) = P(comedy n 10th grade) / P(10th grade) = 2 / 5
Answer:
The answer is 12
Step-by-step explanation:
14 ft
3 ft
6 ft
O 873#
1313
252ft
0 262
52.31
Answer:
262.5
Step-by-step explanation:
V = l x b x h
=14x25/4x3
=262.5
I’ll mark u plz help
Answer:
A. 3/2
Step-by-step explanation:
I like to think of it as shift left or right by the numerator and shift up or down by the denominator. So I go over three and up two from (-3, -1) to reach (0, 1)
Answer:
3divided by 2 I think...
How many more combined faces and vertices does a prism have than edges
A.1
B.2
C.3
D.4
Answer:
1
Step-by-step explanation:
I hope my answer is write
3/4 divided by 1/2
multiple choices
2/3
1 1/4
1 1/2
3
please hurry and choose between those
Answer:
Step-by-step explanation:
Line p and q are parallel lines. The slope of line q is -3. Determine the slope of line p
Answer:
-3
Step-by-step explanation:
since the lines are parallel, they have the same slope because they never intersect
If a person invests $100 at 4% annual interest, find the approximate value of
the investment at the end of 10 years.
Answer:
$140
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 100
r = 4% = 0.04
t = 10
Step 2: Find Interest
Substitute in variables [Simple Interest Rate Formula]: A = 100(1 + 0.04 · 10)(Parenthesis) Multiply: A = 100(1 + 0.4)(Parenthesis) Add: A = 100(1.4)Multiply: A = 140