9514 1404 393
Answer:
x = 7
Step-by-step explanation:
Vertical angles have the same measure, so ...
m∠A = m∠B
(5x -9)° = (8x -30)°
21 = 3x . . . . . . . . . divide by °, add 30-5x
7 = x . . . . . . . . . . divide by 3
solve the inequality (3-z)/(z+1) ≥ 1 please show the steps and the interval notation. thank you!
Answer:
The solution (- infinity , 1].
Step-by-step explanation:
[tex]\frac{3 - z}{z + 1}\geq 1\\\\3 - z \geq z +1\\\\3-1 \geq2 z\\\\2 \geq 2 z\\\\z\leq 1[/tex]
So, the solution (- infinity , 1]
A paper weight is made in the shape of a triangular pyramid.The dimensions of the paper weight are shown The formula for the volume of a triangular pyramid is V = 1/3 Bh .Which expression can be usef to find the value of B the area of the base of the pyramid
Answer:
[tex]B = \frac{3V}{h}[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{1}{3}Bh[/tex]
Required
Solve for B
We have;
[tex]V = \frac{1}{3}Bh[/tex]
Multiply by 3
[tex]3V = Bh[/tex]
Make B the subject
[tex]B = \frac{3V}{h}[/tex]
A study examined the stress amounts of working additional hours. In the study, the researchers investigated the link between weekly hou networking Web site. The Web site's directory was searched for those with "average" nares (e.g. "John Smith", "Sara Jones"). These inc leaving a sample size of 44 respondents. Answer parts (a) through (d).
a. Identify the experimental units for this study. Choose the correct answer below.
A. Stress levels
B. Weekly hours worked
C. All workers
D. People who used a particular Web site
b. What are the variables of interest? Are they quantitative or qualitative in nature?
A Weekly hours worked, qualitative; Stress level, quantitative
B. Weekly hours worked, qualitative; Stress level, qualitative
C. Weekly hours worked, quantitative; Stress level, quantitative
D. Weekly hours worked, quantitative; Stress level, qualitative
c. Describe the population of interest. Choose the correct answer below.
A. Weekly hours worked
B. People who used da particular Web site
C. All workers
D. Stress levels
d. Do you believe the sample of 44 respondents is representative of the population? Explain.
A. No, selection bilas is present since only those with average" names could participate, and the group of these that did was self-selecte
B. Yes, since the Web site is popular, the sample is likely to contain a diverse group.
C. No, although an average subset of the population was obtained the group within this subset that participated was self-selected.
D. Yes, an average subset of the population was obtained, and anyone within this subset could participate. hours worked and stress level (measured on a 5-point scale where 1 = "not stressed and 5= very stressed"). Participants for the study were those who used a popular social e individuals were then invited to participate in an online survey in exchange for a $10 gift certificate of the respondents, those who worked very many or very few hours were excluded
Question 1
Assume that a procedure yields a binomial distribution.
n = 48 p = 0.44. Find the mean.
Answer:
The mean is 21.12.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
In this question:
[tex]n = 48, p = 0.44[/tex]
Mean:
[tex]E(X) = np = 48(0.44) = 21.12[/tex]
The mean is 21.12.
Find the area enclosed by y1 = (x - 1)3 and y2 = x -1.
I wanted to double check the answer. The professor got something completely different.
Find area between two curves
9514 1404 393
Answer:
0.5
Step-by-step explanation:
The "enclosed area" can be taken to mean different things. Here, we consider it to mean the finite area bounded between the two curves, regardless of which curve is higher value than the other.
The area is bounded on the interval [0, 2]. On half that interval y1 > y2; on the other half, y2 > y1. This means the integral of the area between the curves will be different for one part of the interval than for the other. (The curves are symmetric about the point (1, 0).)
The area on the interval [0, 1] is given by the integral ...
[tex]\displaystyle\int_0^1{(y_1-y_2)}\,dx=\int_0^1{((x-1)^3-(x-1))}\,dx\\\\=\int^1_0{(x(x-1)(x -2))}\,dx=\left.(\frac{x^4}{4}-x^3+x^2)\right|^1_0=\boxed{\frac{1}{4}}[/tex]
The area on the interval [1, 2] is the integral of the opposite integrand, but has the same value.
The positive area over the whole interval from 0 to 2 is 1/4+1/4 = 1/2.
If you simply integrate y2-y1 or y1-y2 over that interval, the result is 0.
solve the system of equation — 3х + бу = 9
5х + 7y = -49
Answer:
y = 64/3
x = -119/3
Step-by-step explanation:
3х + 6у = 9 => 5*3x+5*6у = 9*5 => 15x+30у=45 (1)
5х + 7y = -49 => 3*5x + 3*7y = -49*3 => 15x+21y=-147 (2)
(1)-(2) => 9y = 192 => y = 64/3
x = -119/3
5* 2+3.(4+2)-4(5* 2)
Answer:
5 * 2 + 3(4 + 2) - 4(5 * 2)
= 10 + 3(6) - 4(10)
= 10 + 18 - 40
= 28 - 40
= -12
In this exercise, do not attempt formal mathematical derivations, which would actually involve some subtle issues when we go beyond discrete random variables. Rather, use your understanding of the concepts involved. For each one of the statements below, indicate whether it is true or false.
(a) The law of iterated expectations tells us that E [E[X|Y]] = E[X]. Suppose that we want apply this law in a conditional universe, given another random variable Z, in order to evaluate E [X2]. Then: EE[X|Y, 2]|2] = E[X2] y E[E[X|Y]|2] =E[X2] V EE[X|Y,Z]] =E[X2]
(b) Determine whether each of the following statements about the quantity E[g(X,Y)|Y,Z) is true or false. The quantity E[9(X,Y)|Y, 2) is: • a random variable y a number y a function of (X,Y) y a function of (Y,Z) | a function of Z only
Solution :
From the given equation :
E[ E (X|Y) ] = E (X)
a). Then,
E[ E [ X|Y,Z] | Z] = E [ X|Z ]
---- True
E [ E [ X|Y ] | Z ] = E [ X|Z ]
---- False
E [E [X | Y,Z ]] = E [X|Y ]
---- False
b). Th quantity E [ g (X,Y) | Y,Z ] is ,
A random variable ----- TrueA number ----- FalseA function of (X,Y) ----- FalseA function of (Y,Z) ----- TrueA function of Z only ------- FalseThe low of iteration tell the following statement are true E[ E [ X|Y,Z] | Z] = E [ X|Z ] . A random variable y . A function of (Y,Z)
From the given equation the law of iterated expectations
[tex]E[ E (X|Y) ] = E (X)[/tex]
Therefore We have to find a)
What is the definition of iteration?Iteration is the repetition of a process in order to generate a sequence of outcomes.
So by using the low of iteration we can say that,
E[ E [ X|Y,Z] | Z] = E [ X|Z ] ---- True
E [ E [ X|Y ] | Z ] = E [ X|Z ] ---- False
E [E [X | Y,Z ]] = E [X|Y ] ---- False
b). Th quantity E [ g (X,Y) | Y,Z ] is ,
For a random variable y this is ----- True
For a number ----- False
For a function of (X,Y) ----- False
For a function of (Y,Z) ----- True
For function of Z only ------- False
Therefore,The low of iteration tell the following statement are true E[ E [ X|Y,Z] | Z] = E [ X|Z ] . A random variable y . A function of (Y,Z)
To learn more about the iteration visit:
https://brainly.com/question/14284157
2+2 ..................................needed 20 characters
Answer:
plese mark me brainlist
Step-by-step explanation:
thankyou and have nice day
Pls help! Answer the question
===============================================================
Explanation:
The given stem and leaf plot leads to this data set
68,68,69,69
71,72,77,77,78,78
80,81
I broke it up to have each tens digit get its own row. That way it's bit more readable.
Unfortunately, the term "average" in math is very vague. It could mean one of the following
meanmedianmodeTo get the mean (specifically the arithmetic mean), we will add up the values and then divide by n = 12 because there are 12 values in the list above. Adding said values gets us
68+68+69+69+71+72+77+77+78+78+80+81 = 888
Dividing that over 12 then leads to 888/12 = 74
The arithmetic mean is 74.
-------------
To get the median, we would first sort the data set. Though that is already done for us. From here, we locate the middle-most item.
Since there are n = 12 items here, the middle item is between slot n/2 = 12/2 = 6 and slot 7
The values in slots 6 and 7 are 72 and 77 respectively. The midpoint of those values is (72+77)/2 = 149/2 = 74.5
The median is 74.5
-------------
The mode is possibly the quickest measure of center or average we can compute. We simply look at the value that shows up the most. In this case, the following values show up twice (which is the most frequent of all the values)
68697778They are all tied for the title of "mode". It's possible to have more than one mode, so we say the mode is the set {68,69,77,78}.
Due to the nature of multiple modes, the mode is often not a good measure of center (but it's still a possibility; especially for categorical data).
In this case, I think the mean or median is a better measure of center.
Since there aren't any outliers, the mean is the best measure of center in this case. Luckily, the mean and median (74 and 74.5 respectively) are fairly close to one another.
-------------
To summarize everything, the term "average" is too vague and it could refer to the mean, median or mode. In this problem, the mean is possibly the best measure of center since there aren't any outliers and the mode isn't one single value.
We found the following:
mean = 74median = 74.5mode = {68,69,77,78}It's very likely your teacher is wanting the mean.
Help someone please
A car uses 3/4% of a tank of gasoline to go 600 kilometers. What must one know to be able to determine how many kilometers the car gets per liter?
(1) the number of liters the tank holds
(2) the cost of gasoline per liter
(3) the average daily mileage of the driver (4) the relative age of the car
(5) the ratio of the mass to volume of the car
Answer:
(1) the number of liters the tank holds
Step-by-step explanation:
Which complex number does not lie on the line segment plotted on the graph?
Answer:
Notice that for 3 out of the 4 numbers, there is a relationship between the x and the y coordinate of the number; for 3+i, -2i, -2-4i we have that the real part is larger by 2 from the imaginary part. Thus, the points are on the same line in the imaginary plane; they satisfy x=y+2 or Re{z}=Im{z}+2. However, 2-4i does not satisfy this equation since 2 is not equal to -4+2. Hence, this point does not belong to the line that the other 3 points define.
Step-by-step explanation:
please try this for answer my question please
Answer:
1. +30
2. +64
3. 0
4. -3
5. +24
6. +18
7. -48
8. -64
9. +21
10. -30
11. +12
12. 0
13. -4
14. +56
15. +2
Step-by-step explanation:
When multiplying integers:
two negatives = positive
two positives = positive
one negative x one positive = negative
So, if the signs are the same, the answer is positive.
If you have two different signs, the answer is negative.
You multiply the integers like normal.
Anything multiplied by zero = 0.
Anything multiplied by one = itself (just be careful of the sign).
What is the following product? Assume x>0 and y>0 v5x^8y^2•v10^3•v12y
Answer:
[tex]10x^{5}y \sqrt{6xy}[/tex]
Step-by-step explanation:
Categorize the following logical fallacy.
John Bardeen's work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. Hence, it is prudent at present not to take seriously his current theory relating how strings constitute the smallest of subatomic particles.
a. Circular reasoning
b. False dilemma
c. Appeal to consequence
d. Ad hominem
e. Correlation implies causation
Answer:
d. Ad hominem
Step-by-step explanation:
A fallacy can be defined as a mistaken or false belief that are based on illogical arguments or reasoning.
However, a lot of people might actually think it to be true but it isn't. There are various types of fallacy, these include;
I. Black or white.
II. Non sequitur.
III. Appeal to moderation.
IV. Bandwagon.
V. Appeal to authority.
VI. Straw man.
VII. Oversimplification or hasty generalization.
VIII. Appeal to ignorance.
IX. Appeal to pity.
X. Ad hominem.
Ad hominem can be defined as a type of fallacy in which the motive, character, or some other aspect of a person is attacked rather than his or her position.
This ultimately implies that, Ad hominem is typically based on prejudices, emotions, or feelings rather than appealing to reason, intellect or substance.
In this scenario, John Bardeen's research work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. As a result, the speaker concluded that it's prudent at present not to take seriously his current theory on how strings constitute the smallest of subatomic particles. Thus, the logical fallacy described above is an ad hominem because John's slowness in his research work is bone of contention for the speaker rather than analyzing and concentrating on his theory about strings.
Find the product (-3/5) (-2/9)
Answer:
2/15
Step-by-step explanation:
(-3/5) (-2/9)
Rewriting
-3/9 * -2/5
-1/3 * -2/5
A negative times a negative is a positive.
2/15
Joe works as a salesman at the baby retail store. He receives a 5% commission on the first $ 10 000,9% on the next $ 7000, and 13% on any additional sales. Calculate how much Joe must sell to make $ 2082.9 in commission
Answer:
Joe must sell $ 24,330 to make $ 2,082.9 in commission.
Step-by-step explanation:
Since Joe works as a salesman at the baby retail store, and he receives a 5% commission on the first $10,000, 9% on the next $7,000, and 13% on any additional sales, to calculate how much Joe must sell to make $2082.9 in commission the following calculation must be performed:
10,000 x 0.05 = 500
7,000 x 0.09 = 630
2,082.90 - 500 - 630 = X
952.90 = X
0.13X = 952.90
X = 952.90 / 0.13
X = 7.330
10,000 + 7,000 + 7,330 = X
24,330 = X
Therefore, Joe must sell $ 24,330 to make $ 2,082.9 in commission.
sin4x - cosx
---------------- = f(x) f^1(π/4) what is the derivative?
tanx
I think you are asked to find the value of the first derivative of f(x) at π/4. Given
[tex]f(x) = \dfrac{\sin(4x)-\cos(x)}{\tan(x)}[/tex]
use the quotient to differentiate and you get
[tex]f'(x) = \dfrac{\tan(x)(4\cos(4x)+\sin(x))-(\sin(4x)-\cos(x))\sec^2(x)}{\tan^2(x)}[/tex]
Then at x = π/4, you have
tan(π/4) = 1
cos(4•π/4) = cos(π) = -1
sin(π/4) = 1/√2
sin(4•π/4) = sin(π) = 0
cos(π/4) = 1/√2
sec(π/4) = √2
==> f ' (π/4) = (1•(-4 + 1/√2) - (0 - 1/√2)•(√2)²) / 1² = -4 + 1/√2 + √2
Pasagot po kasi d kopo alam
Answer:
ano po ba ga gawin jn? para masagutan ko po
Find the vertical asymptotes. 2x2 + 7x + 6 y = 3x2 + 10x - 8 * = [ [?], x=
Answer:
[tex]-\frac{77}{24}[/tex]
Step-by-step explanation:
1. rewrite the equation in standard form: [tex]4\cdot \frac{3}{2}\left(y-\left(-\frac{41}{24}\right)\right)=\left(x-\left(-\frac{3}{2}\right)\right)^2[/tex]
2. find (h,k), the vertex. the vertex is [tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:-\frac{41}{24}\right)[/tex]
3. find the 'focal length' of the parabola - the focal length is the distance between the vertex and the focus. from the vertex we can see that the focal length, p, = 3/2
4. Parabola is symmetric around the y-axis and so the asymptote is a line parallel to the x-axis, a distance p from the [tex]\left(-\frac{3}{2},\:-\frac{41}{24}\right)[/tex] y coordinate which is at [tex]-\frac{41}{24}\right)[/tex]. Set up the equation:
[tex]y=-\frac{41}{24}-p[/tex]
5. substitute and solve:
[tex]y=-\frac{41}{24}-\frac{3}{2}[/tex]
[tex]y = -\frac{77}{24}[/tex]
hope this helps, ask me questions if you still don't understand.
Can someone please explain to me how to solve the problem? I need to know how to complete it more than just the answer. Thanks!
A plane is flying at an altitude of 13,000 ft, where the temperature is -2 degrees F. The nearby airport, at an altitude of 2,000ft, is reporting precipitation. If the temperature increases 2.1 degrees F for every 1000-ft decrease in altitude, will the precipitation at the airport be rain or snow? Assume that rain changes to snow at 32 degrees F.
Is the precipitation at the airport rain or snow?
9514 1404 393
Answer:
snow
Step-by-step explanation:
The relationship between temperature and altitude is given as ...
T = -2 +((13000 -a)/1000)×2.1
We can put a=2000 into this equation to find the temperature at that altitude.
T = -2 +((13000 -2000)/1000)×2.1 = -2 +11(2.1) = -2 +23.1 = 21.1
The airport temperature of 21.1 °F is below 32 °F, so we expect the precipitation to be snow.
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than . Suppose that we suspect otherwise and carry out a hypothesis test. State the null hypothesis and the alternative hypothesis that we would use for this test.
Answer:
The null hypothesis is [tex]H_0: p \leq x[/tex], in which x is the proportion tested.
The alternative hypothesis is [tex]H_1: p > x[/tex]
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:
[tex]H_0: p \leq x[/tex]
Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is:
[tex]H_1: p > x[/tex]
change the following basis to Base 10 134 in base seven
Answer:
74 base 10.
Step-by-step explanation:
134 base 7 = 7^2 + 3*7 + 4
= 49 + 21 + 4
= 74 base 10
T=3 and t=5 to determine if the expression 4(t+3) and 4 t+12 are equivalent
Find sin d, sin e, cos d, and cos e. Write each answer as a fraction in simplest form
Answer:
r= 17.73174
Step-by-step explanation:
calculations
3. Tell whether each statement is true or false Explain how you know a) LCM (7, 18) - LCM (14.18) b) LCM (5,8) - LCM (10,8) c) The GCF of any two prime numbers is 1 and the number itself.
Step-by-step explanation:
ok for a. the both are 126
and for b. the both are 30
for c. i believe its true
A piece of wire that is 200 ft long is to be cut into two pieces and each of the piece is to be bent into a square. How should the wire be cut if the area of one of the squares is 1000ft2 smaller than the other?
Answer:
Length of first cut = 140
Length of second cut = 60
Step-by-step explanation:
Given:
Length of wire = 200
Find:
Length of each cut
Computation:
Assume;
Side of first square = x/4
Side of second square = [200 - x] / 4 = 50 - x/4
So,
[x/4]² - [50 - x/4]²
x²/16 - x²/16 - 2500 + 25x = 1000
- 2500 + 25x = 1000
25x = 3500
x = 140
Side of first square = 140/4
Side of first square = 35
Side of second square = 50 - 140/4
Side of second square = 15
Length of first cut = 4 x 35
Length of first cut = 140
Length of second cut = 200 - 140
Length of second cut = 60
Answer:
60 ft and 140 ft
Step-by-step explanation:
Total length = 200 ft
Let the length of one piece is L and other is 200 - L.
[tex]1000 + \left (\frac{L}{4} \right )^2 = \left ( \frac{200 - L}{4} \right )^2\\\\16000 +L^2 = 40000 + L^2 - 400 L\\\\L= 60 ft[/tex]
So, the length of the other piece is 140 ft.
Which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10?
-10, -12, -14, -16, -18,...
0-2, 8, 18, 28, 38, ...
08, 18, 28, 38, 48, ...
O ,
10, 8, 6, 4, 2, ...
Answer:
10, 8, 6, 4, 2, ...
Step-by-step explanation:
For this problem, you were given the recursive rule. The recursive rule consists of an equation that represents how the former term is modified to get the current term and the first term of the sequence. F(1) means the first term; in this case, the first term is 10. The equation in the rule shows that 2 is subtracted from the last term to get the current term. This means that the common difference is -2 and each term decreases by 2. Therefore, the last option, 10, 8, 6, 4, 2, ..., is correct.
the complement of guessing 5 correct answers on a 5 question true or false examination is
Answer:
Guessing at least one incorrect answer
Step-by-step explanation:
The complement of guessing 5 correct answers on a 5-question true/false exam is-
Guessing at least one incorrect answer because, when 1 or more questions are incorrectly guessed, the event of 5 correct answers can not occur.
write 16.76 correct to the nearest whole number
Answer:
17
Step-by-step explanation:
because they are both above 5 so add 1