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Which of the following is an arithmetic sequence?
O 1,-3,9,-27...
0-2, 4, -6, 8, ...
-8, -6, -4,-2....
O2, 4, 8, 16, ...
9514 1404 393
Answer:
(c) -8, -6, -4, -2, ...
Step-by-step explanation:
An arithmetic sequence has sequential terms that have a common difference.
The first differences of the offered sequences are ...
a) -4, 12, -36
b) 6, -10, 14
c) 2, 2, 2 . . . . . . constant, so an arithmetic sequence
d) 2, 4, 8
__
The arithmetic sequence is -8, -6, -4, -2, ....
Jessica got back an exam and she earned 95 out of 100 points. Is her score an example of a raw score or a transformed score?
Answer:
Raw Score
Step-by-step explanation:
A raw score is a datum point or value that has not been altered in any way. Raw scores are original measurements from surveys, tests, or other instruments that have not been weighted, transformed, or converted into any other form. Raw scores are also called observed scores.
Therefore
It is a Raw score
g From a distribution with mean 38 and variance 52, a sample of size 16 is taken. Let X be the mean of the sample. Show that the probability is at least 0.87 that X is in (33, 43)
Answer:
[tex]P=8.869[/tex]
Step-by-step explanation:
From the question we are told that:
Mean [tex]\=x =38[/tex]
Variance [tex]\sigma=52[/tex]
Sample size [tex]n=16[/tex]
[tex]X=(33, 43)[/tex]
Generally the equation for Chebyshev's Rule is mathematically given by
[tex]A=(1-\frac{1}{k^2})*100\%[/tex]
Where
[tex]k=\frac{\=x-\mu}{\frac{\sigma}{\sqrt n}}}}[/tex]
[tex]k=\frac{43-38}{\frac{52}{\sqrt 16}}}}[/tex]
[tex]k=2.77[/tex]
Therefore
Probability
[tex]P=(1-\frac{1}{2.77^2})[/tex]
[tex]P=8.869[/tex]
Solve for x:
|3x-1|=4
Answer:
x = 5/3 x= -1
Step-by-step explanation:
|3x-1|=4
There are two solutions to the absolute value equation, one positive and one negative
3x-1 =4 and 3x-1=-4
Add 1 to each side
3x-1+1 = 4+1 3x-1+1 = -4+1
3x=5 3x = -3
Divide by 3
3x/3 = 5/3 3x/3 = -3/3
x = 5/3 x= -1
Solve For X any and all help is appreciated (:
Answer:
x is 3
Step-by-step explanation:
You use proportions to figure out x, what you first do is set up the proportion of the big triangle, then the small triangle.
[tex]\frac{(9+3)}{3}[/tex]= [tex]\frac{12}{x}[/tex]
By setting up this proportion, you would then cross multiply, and get 12x = 36. This is when you divide by 12 on both sides and get x=3
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
[tex]\boxed{\boxed{\sf{ x=3 }}}[/tex] [tex]\sf{ }[/tex]
When planning a more strenuous hike, Brett figures that he will need at least 0.5 liters of water for each hour on the trail. He also plans to always have at least 1.80 liters of water as a general reserve. If x represents the duration of the hike (in hours) and y represents the amount of water needed (in liters) for a hike, the following inequality describes this relation:
y greater or equal than 0.5 x plus 1.8
Which of the following would be a solution to this situation?
Answer:
Having 4.5 liters of water for 4 hours of hiking
Step-by-step explanation:
If you plug in 4.5 for y and 4 for x, you get:
4.5 greater or equal than 0.5 left parenthesis 4 right parenthesis plus 1.8
4.5 greater or equal than 2 plus 1.8
4.5 greater or equal than 3.8
This is a true statement so having 4.5 liters of water for 4 hours of hiking would be a solution.
A trough is 12 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 14 ft3/min, how fast is the water level rising when the water is 4 inches deep
Answer:
[tex]\frac{dh}{dt}=0.5ft[/tex]
Step-by-step explanation:
From the question we are told that:
Length [tex]l=12[/tex]
Top length [tex]l_t=3ft[/tex]
Height [tex]h=1ft[/tex]
Rate [tex]R=14 ft3/min[/tex]
Water rise [tex]w=4[/tex]
Generally the equation for Velocity is mathematically given by
[tex]V=frac{1}{2}wh'(l)\\\\V=frac{1}{2}wh'(12)[/tex]
[tex]V=18h'^2[/tex]
Therefore
[tex]R=18(2h)(\frac{dh}{dt})[/tex]
Where
[tex]h=\frac{3}{4}[/tex]
Therefore
[tex]\frac{dh}{dt}=\frac{R}{18(2h)}[/tex]
[tex]\frac{dh}{dt}=\frac{14}{18(2.3/4)}[/tex]
[tex]\frac{dh}{dt}=0.5ft[/tex]
Refer to the picture avove
Answer:
34°
Step-by-step explanation:
using tan ( tan x = opposite/adjacent)
tan x = 7/10
we solve for x by moving the tan and turning tan into tan^-1 which is inverse tangent
x = tan^-1 = 7/10
x = 35
exact answer: 34.99202
Answer:
dm
Step-by-step explanation:
If I was born on December 24, two thousand and four and my classmate was born on April 9, two thousand and six, how many months, years and days are we apart?
Answer:
1 year, 3 months, 16 days.
Step-by-step explanation:
Adding one year would get you to December 24, 2005. Then, adding 3 months would take you to March 24, 2006. Then, because March has 31 days, adding 16 to 24 would get you to 40. Subtract 31 from 40 and you get the remaining 9 days.
An industrial psychologist consulting with a chain of music stores knows that the average number of complaints management receives each month throughout the industry is 4, but the variance is unknown. Nine of the chain's stores were randomly selected to record complaints for one month; they received 2, 4, 3, 5, 0, 2, 5, 1, and 5 complaints. Using the .05 significance level, is the number of complaints received by the chain different from the number of complaints received by music stores in general?
1. Use the five steps of hypothesis testing.
2. Sketch the distributions involved
3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind. Be sure to explain how this problem differs from a problem with a known population variance and a single sample.
Answer: See explanation
Step-by-step explanation:
1. Use the five steps of hypothesis testing.
Step 1: The aim of the research is to conduct the five steps of hypothesis testing.
Step 2:
Null hypothesis: H0 u= 4
Population mean: H1 u = 4
Alternate hypothesis: u ≠ 4
Population mean: u ≠ 4
Step 3 and step 4 are attached.
Step 5: Based on the calculation, the calculated value of t is less than the t critical value, therefore, the null hypothesis will be failed to be rejected.
2. Sketch the distributions involved
This has been attached.
3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind.
The distribution is "t".
The means is tested by using T-test.
Chi-square is used to test the single variance.
Write an equation of the line that passes through a pair of points: (-5, -2), (3, -1) y=-x+ C. y=-- x - 11 11 a. 8 8 b. 11 d. y=-x+ 8 y=-x - 8 11
Answer:
y = 8x+11
Step-by-step explanation:
The coordination of the points are : (-5,-2) , (3, -1)
Then, the equation is :
[tex]\frac{y+5}{x+2} =\frac{-5-3}{-2+1} \\\\or,\frac{y+5}{x+2} = 8\\or, y+5=8(x+2)\\or, y = 8x+16-5\\y= 8x+11[/tex]
Increase £130 by 15%
Answer:
£149.5
Step-by-step explanation:
10% of £130 = £13.
5% of £130 = £6.5
15% = £13+6.5= £19.5
£130+£19.5= £149.5
Answer:
149.5 same as the other answer.
Step-by-step explanation:
To increase by 15% we need:
130 + 130*15/100
Another way to solve this, different from the other answer, is:
130/100 = 1.3
1.3*15=19.5
130+19.5=149.5
Which of these are related functions. Plato
Answer:
◦•●◉these are related functions
The blue Sox baseball won 40 games out of 48 games played. The Green Sox won 27 games of 45 games played. Which team won the greater percentage of the game? By what percent?
Step-by-step explanation:
40 won dividend 48 games
= 40/48 x 100
83.33% Win
Green Sox
27/45 x 100
60%
so Conclusion
The most Won Greatest Between Blue & Green are
Sox Have 83.33% Won
Draw clearly the graph of the linear equation. y=1/2x, where x= (-4 -2, 0, 2, 4)
Answer:
(in attachment)
Step-by-step explanation:
you can find the points by inputting the x-values into the equation to solve for the y-values, then connecting the plotted points to create the line.
When x=-4
y=1/2(-4)
y=-2
(-4,-2)
Repeat for all values.
Find the probability that a randomly selected point within the square falls in the blue shaded area (circle). r = 2 in [? ]% Round to the nearest tenth of a percent.
Answer:
78.5 %
Step-by-step explanation:
the probability = π(2)² / (4×4) ×100%
= 4π /16 × 100%
= π/4 ×100%
= (π×25)%
= 3.14 × 25 %
= 78.5 %
Bill works for a large food service company. In one hour he can make 19 sandwiches or he can make 40 salads. Bill works 7 hours per day. If Bill needs to make 30 sandwiches then how many salads can he make
Answer:
[tex]x=216 salads[/tex]
Step-by-step explanation:
One Hour:
Salad=40
Sandwich=19
Total work time[tex]T=7[/tex]
Generally
Time to make 30 sandwiches is
[tex]T_s=\frac{30}{19}[/tex]
[tex]T-s=1.6hours[/tex]
Therefore
Bill has 7-1.6 hours to make salads and can make x about of salads in
[tex]x=(7-1.6)*40[/tex]
[tex]x=5.4*40[/tex]
[tex]x=216 salads[/tex]
Given a set of data that is skewed-left, there is at least _____ % of the data within 2 standard deviations.
Answer:
75
Step-by-step explanation:
For non-normal distributions, we use Chebyshev's Theorem.
Chebyshev Theorem
The Chebyshev Theorem states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Within 2 standard deviations of the mean, so 75%.
Expand and simplify (x-3)(x+5)
Answer:
x^2 + 2x -15
Step-by-step explanation:
(x-3) (x+5)
x * (x+5) -3(x+5)
x^2 + 5x - 3x - 15
x^2 + 2x - 15
Answered by Gauthmath
Which of the following tables represent valid functions?
Answer:
Step-by-step explanation:
A relation may or may not represent a function.
Table (a), (c) and (d) represent a function
The tables represent a relation
For a relation to be a function, then:
The y values must have unique (or distinct) x-values.
From the list of tables, we have the following observations
All y values in table (a), have different corresponding x valuesy values 3 and 6 in table (b), point to the same x value (2)All y values in table (c), have different corresponding x valuesAll y values in table (d), have different corresponding x valuesHence, all the tables represent a valid function, except table (b)
Read more about functions and relations at:
https://brainly.com/question/6241820
Consider points a, b, and c in the graph. Determine which of these points is relative minima on the interval x = –1 and x = –2 in the graph.
Answer:
C.
Step-by-step explanation:
1) note, the point "а" belongs to the given interval only, then
2) the correct answer is C) a.
Answer:
as we can see here point {\color{Red}a} lies on the interval (-2, -1)
so option A is correct
Step-by-step explanation:
I need help with this
Answer:
Yes because 5^2 + 12^2 = 13^2
Step-by-step explanation:
We can check using the Pythagorean theorem
a^2 + b^2 = c^2
5^2 + 12^2 = 13^2
25+ 144= 169
169 = 169
9514 1404 393
Answer:
D. Yes, because 5² +12² = 13²
Step-by-step explanation:
To determine if a triple of three numbers will form a right triangle, see if they satisfy the Pythagorean theorem. If they do, the sum of the squares of the smaller two numbers will equal the square of the largest.
Here, we have ...
5² + 12² ?? 13²
25 +144 ?? 169
169 = 169 . . . . . . these side lengths will form a right triangle
_____
Additional comment
Three integer numbers like these that will satisfy the Pythagorean theorem are called a "Pythagorean triple." A few such triples that are commonly seen in algebra and trig problems are ...
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)
It is worthwhile to remember a few of these, as you will see them again.
A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces. What is the probability of filling a cup between 33 and 35 ounces? Round your answer to four decimal places.
Answer:
0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces.
This means that [tex]\mu = 29, \sigma = 4[/tex]
What is the probability of filling a cup between 33 and 35 ounces?
This is the p-value of Z when X = 35 subtracted by the p-value of Z when X = 33.
X = 35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{35 - 29}{4}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 33
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 29}{4}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.0413.
0.9332 - 0.0413 = 0.8919
0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.
Answer:
0.1598
Step-by-step explanation:
What is the solution of this system of linear equations?
3y = 3 y equals StartFraction 3 over 2 EndFraction x plus 6.x + 6
y – StartFraction one-half EndFraction y minus StartFraction 1 over 4 EndFraction x equals 3.x = 3
Answer:
[tex]x = 4[/tex]
[tex]y = 4[/tex]
Step-by-step explanation:
Given
[tex]3y = \frac{3}{2}x + 6[/tex]
[tex]y-\frac{1}{4}x = 3[/tex]
Required
The solution
Multiply the second equation by 3
[tex]3 * [y-\frac{1}{4}x = 3][/tex]
[tex]3y-\frac{3}{4}x = 9[/tex]
Rewrite as:
[tex]3y =\frac{3}{4}x + 9[/tex]
Subtract this from the first equation
[tex][3y = \frac{3}{2}x + 6]- [3y =\frac{3}{4}x + 9][/tex]
[tex]3y - 3y = \frac{3}{2}x - \frac{3}{4}x + 6 - 9[/tex]
[tex]0 = \frac{3}{4}x -3[/tex]
Rewrite as:
[tex]\frac{3}{4}x =3[/tex]
Multiply both sides by 3/4
[tex]x =3*\frac{4}{3}[/tex]
[tex]x = 4[/tex]
Substitute [tex]x = 4[/tex] in [tex]3y = \frac{3}{2}x + 6[/tex]
[tex]3y = \frac{3}{2} * 4 + 6[/tex]
[tex]3y = 6 + 6[/tex]
[tex]3y = 12[/tex]
Divide both sides by 3
[tex]y = 4[/tex]
Answer:
C. no solution
Step-by-step explanation:
did it on edge2021
can u guys help me pls
Answer:
350cm
Step-by-step explanation:
to turn metres in centimetres, multiply by 100
so: 3.5 x 100 = 350
A teacher calculates for the test grades in
Class A, mean = 32 and sd = 4
Class B, mean = 32 and sd = 8
a. If the teacher was going to guess what any student in his/her class would earn, what is the best score
to guess?
b. Which of the classes has more consistency in their scores? Why?
Answer:
a. best score to guess would be 33
b. Standard deviation simplifies the square root of the mean so makes it closer to 1 has more consistency as the mean of 32 when squared is sqrt 32 is Class A as class a = 4 and is closer to 5.65685425
as 5.65685425^2 = 32
Step-by-step explanation:
If you are comparing two normally-distributed variables on the same measurement scale then yes, you can regard the standard deviation as an indicator of how reliable the mean is--the smaller the standard deviation, the better able you are to "zero in" on the actual population mean.
a. proofs;
We find 32/6 = 5.333 and 32/5 = 6.4 and 6.4 is closer to both sd 4 and 8 than 5.33 is. As 6.4 it is closer to 6
But when we use 33/6 = 5.5 and therefore shows close range 6
therefore the two sd proves it is slightly high 32 score average for both classes A + B when joined and high 32 = 33 mean when classes A+B are joined or you could say 32/8 = 4 is class B becomes lower tests scores as 32/4 = 8 of class A that has higher test scores.
In this exercise we have to use probability and statistics to organize the students' grades, so we have:
A) best score is 33
B) Class A
In the first part of the exercise we have to analyze the grades of each class, like this:
A)Class A: 32/4
Class B: 32/8
Dividing each of them we have:
[tex]32/4=8 \\32/8=4[/tex]
B) With the information given above, we can say that the best class is A.
See more about statistics at brainly.com/question/10951564
et f(x)=6(2)x−1+4. The graph of f(x) is translated 7 units to the left to form the graph of g(x). Enter the equation for g(x) in the box.
Answer:
[tex]g(x) = 6(2)^{x -8}+ 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 6(2)^{x - 1}+ 4[/tex]
Required
Find g(x)
From the question, f(x) is translated 7 units left;
The rule of translation is: [tex](x,y) \to (x-7,y)[/tex]
So, we have:
[tex]g(x) = f(x - 7)[/tex]
[tex]g(x) = 6(2)^{x -7- 1}+ 4[/tex]
[tex]g(x) = 6(2)^{x -8}+ 4[/tex]
Suki makes and sells denim jackets in a small store at the mall. She has found that
the following system of equations represents the expenses and the revenue for
running her store.
C = 520 + 31n
C = 96n
Determine the minimum number of jackets she must sell to make a profit.
Answer:
8
Step-by-step explanation:
96n = 520 + 31n
65n=520
n=8
Hope this helps :)
Help me? Show work so I can understand please and thank you!
I think this is correct, Answer is 21
Step-by-step explanation:
Step 1: Write down formula: [tex]a^2+b^2+c^2[/tex]
Step 2: Plug in b and c value in formula: [tex]a^2+20^2=29^2[/tex]
Step 3: Solve the exponents: [tex]a^2+400=841[/tex]
Step 4: Subtract 400 from both sides: [tex]-400[/tex] [tex]-400[/tex]
[tex]a^2=441[/tex]
Step 5: Square root both sides: [tex]\sqrt{a^2}=\sqrt{441}[/tex]
[tex]a=21[/tex]
Step 6: 29+21: 50
Step 7: 50-29: 21
