Answer:
The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be [tex]H_{a}: \mu > 238[/tex]
Step-by-step explanation:
At the null hypothesis, we test that the mean is equal to a certain value.
At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 238[/tex]
A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.
This means that the alternate hypothesis is:
[tex]H_{a}: \mu > 238[/tex]
Rewrite the number in Standard form
1.37 x 10-7
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 0.000000137
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
a rectangular prism has a lenth of 2/3,a width of 1/2 and a height of 1/3 find the volume
Answer:
2/18 = 1/9
Step-by-step explanation:
2/3 x 1/3 = 2/9
2/9 x 1/2 = 1/9
WILL MARK! Please help:)
Find x so that this quadrilateral is a parallelogram.
Answer:
46
Step-by-step explanation:
Answer:
46 bc the angles across from each other are the same in a parallelogram
Find x
I got 5 but I don’t know if that’s correct. Please help
Please help I will give u points
HELP ME PLS ITS URGENT .. !❗❗❗❗❗❗❗❗❗❗❗❗❗
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
Answer:
A the answer is A ^w^ hope this helps
Let f be defined by the function f(x) = 1/(x^2+9)
(a) Evaluate the improper integral [tex]\int\limits^{∞}_3 {f(x)} \, dx[/tex] or show that the integral diverges
(b) Determine whether the series ∑n=3∞ f(n) converges or diverges State the conditions of the test used for determining convergence or divergence
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges (image put below)
(a)
[tex]\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}[/tex]
Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :
[tex]\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt[/tex]
[tex]=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}[/tex]
(b) The series
[tex]\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}[/tex]
converges by comparison to the convergent p-series,
[tex]\displaystyle\sum_{n=3}^\infty\frac1{n^2}[/tex]
(c) The series
[tex]\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}[/tex]
converges absolutely, since
[tex]\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}[/tex]
That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.
Select the correct answer.
Which pair of statements correctly compares the two data sets?
O
0
1
2
3
4
5
6
7
8
9
10
11
12
13
0
1
2
3
4
5
6
7
8
9
10
11
12
13
OA. The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.
OB .
The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.
OC The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.
OD. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.
PLZ HELP 44POINTS
Answer:
A.
Step-by-step explanation:
✔️Find the Mean and Mean Absolute Value of the first data set:
Write out the data values:
1, 2, 4, 4, 5, 5, 6, 7, 9, 9, 9, 11
Mean = sum of all data values ÷ number of data values in the data set
Mean = 72 ÷ 12 = 6
M.A.D = sum of |data value - mean| ÷ the number of data values
|1 - 6| = 5
|2 - 6| = 4
|4 - 6| = 2
|4 - 6| = 2
|5 - 6| = 1
|5 - 6| = 1
|6 - 6| = 0
|7 - 6| = 1
|9 - 6| = 3
|9 - 6| = 3
|9 - 6| = 3
|11 - 6| = 5
Sum of |data value - mean| = 30
M.A.D = 30 ÷ 12 ≈ 2.5.
✔️Find the mean and M.A.D of the second data set following the same steps and formula:
Write out the data:
1, 3, 4, 6, 6, 6, 7, 9, 9, 10, 10, 13
Mean = 84 ÷ 12 = 7
Sum of |data value - mean| = 32
M.A.D = 32 ÷ 12 = 2.7
✔️Comparing both data sets,
The difference of the means = 7 - 6 = 1
Thus, the value of this difference, 1, is less than half of the M.A.D of both sets, 2.5 and 2.7.
Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?
Step-by-step explanation:
If he can walk 14 miles in 5 hours, take 14÷5 to find out how long he can walk in 1 hour. (2.8)
Then take 2.8 miles times 3.5 hours is 9.8 miles
Help plssss!!!!!!! 10 points
Answer:
16 every 2 years, or 8 more per year
What is the mean?
1 2 1 3 6 3 6 2
In circle P with m NPQ = 46 and NP=20 units find area of sector NPQ.
Round to the nearest hundredth.
i will give brainly
Answer:
Round to the nearest hundredth.
Answer:
160.57
Step-by-step explanation:
The formula is:
[tex]angle/360 *\pi *radius^2[/tex]
Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.
[tex]46/360 * \pi *20^2[/tex] = [tex]23/180 * \pi *400[/tex]
= [tex]160.57029...[/tex]
Rounded to the nearest hundredth this would be 160.57
PLEASE HELP DUE IN 3 minutes
Answer:
Answer is B
Step-by-step explanation:
Plz I really need help
Answer:
.. it's 30 or 50
Step-by-step explanation:
What ratio is not equivalent to the ratio 10:35 please help
Step-by-step explanation:
Personally I think the answer is 2:7
I might be wrong but that is my opinion
(sin^2x+tan^2x+cos^2x)/(sec^2x) What trig identities are used in solving this as well.
The main one is the Pythagorean identity,
sin²(x) + cos²(x) = 1
By dividing both sides by cos²(x), you get the tan-sec variant:
sin²(x)/cos²(x) + cos²(x)/cos²(x) = 1/cos²(x)
tan²(x) + 1 = sec²(x)
since tan(x) = sin(x)/cos(x) and sec(x) = 1/cos(x).
So the given expression reduces to
(sin²(x) + tan²(x) + cos²(x)) / sec²(x)
= (1 + tan²(x)) / sec²(x)
= sec²(x) / sec²(x)
= 1
Write the polynomial in standard form: I need help with this
Write the polynomial in standard form:
18
HELP ASSAP I NEED TO FINISH THIS TEST AND TIS THE LAST ONE
Answer:
a=4
b=5
Step-by-step explanation:
2x+5/3=8 solve this equation
Answer:
x = 19/6
Step-by-step explanation:
5/3 = 1 whole and 2/3
8 - 1 whole and 2/3 = 19/3
2x = 19/3
x = 19/3 ÷ 2 = 19/6
I hope im doing it right.
what is a single term algebraic expression is called?
Find the length of the hypotenuse. Round your answer to the nearest 100th.
A. 8.06
B. 9.95
C. 11
D. 3.32
Step-by-step explanation:
C = root of 7^2 + 4^2
= 8.06
Ans = A
Axis of sym: x =
Vertex: (
,
)
Do not do the domain
Range: Pick one: A. y≥4 B. y<4 C. y≤4 D. y≤−2 E. y<−2
The Range is
Zeros:
and
Equation:
Answer:
SEE BELOWStep-by-step explanation:
to understand thisyou need to know about:quadratic functionPEMDASlet's solve:vertex:(h,k)
therefore
vertex:(-1,4)
axis of symmetry:x=h
therefore
axis of symmetry:x=-1
to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0vertex form of quadratic equation:
y=a(x-h)²+ktherefore
y=a(x-(-1))²+4y=a(x+1)²+4it's to notice that we don't know what a is
therefore we have to figure it out
the graph crosses y-asix at (0,3) coordinates
so,
3=a(0+1)²+4
simplify parentheses:
[tex]3 = a(1 {)}^{2} + 4[/tex]
simplify exponent:
[tex]3 = a + 4[/tex]
therefore
[tex]a = - 1[/tex]
our vertex form of quadratic equation is
y=-(x+1)²+4let's simplify it to standard form
simplify square:
[tex]y = - ( {x}^{2} + 2x + 1) + 4[/tex]
simplify parentheses:
[tex]y = - {x}^{2} - 2x - 1 + 4[/tex]
simplify addition:
[tex]y = - {x}^{2} - 2x + 3[/tex]
therefore our answer is D)y=-x²-2x+3
the domain of the function
[tex]x\in \mathbb{R}[/tex]
and the range of the function is
[tex]y\leqslant 4[/tex]
zeroes of the function:
[tex] - {x}^{2} - 2x + 3 = 0[/tex]
[tex] \sf divide \: both \: sides \: by \: - 1[/tex]
[tex] {x}^{2} + 2x - 3 = 0[/tex]
[tex] \implies \: {x}^{2} + 3x - x + 3 = 0[/tex]
factor out x and -1 respectively:
[tex] \sf \implies \: x(x + 3) - 1(x + 3 )= 0[/tex]
group:
[tex] \implies \: (x - 1)(x + 3) = 0[/tex]
therefore
[tex] \begin{cases} x_{1} = 1 \\ x_{2} = - 3\end{cases}[/tex]
Just look at the pic for the question
Answer: C
Step-by-step explanation:
What is the sum?
3(2x + 3) + 2(x + 5)
Answer:
A: 8x + 19
Step-by-step explanation:
3(2x+3) = 6x + 9
2(x+5) = 2x + 10
6x+9 + 2x+10 = 8x + 19
A poll of 803 adults in the United States found that a majority—60%—said that changes should be made in government surveillance programs. The poll reported a margin of error of 3.5%.
Explain in plain English what we can conclude from this poll.
We can conclude that most American adults want changes in government surveillance programs. But we can't conclude what specific changes in those programs they want (more surveillance? less? it doesn't say.)
I need help please.
Step-by-step explanation:
if I had to guess it's probably true
You are building a frame for a window. The window will be installed in the opening shown in the diagram. Determine whether the opening is a rectangle. Then give the length of the diagonals.
Answer:
dfffffdf
Step-by-step explanation:
Can someone actually helped me? People will answer and deleted their comment I really need help
Congruent Angle
Vertical Angle
Adjacent Angle
Complementary Angle
Supplementary Angle
Answer:
14) ∠CBE = 118° supplementary to 62°
15) ∠ABF = 28° complementary to 62°
16 ∠CBA = 152° because it is vertical to ∠DBF
Step-by-step explanation:
14) ∠CBE = 180° - 62° = 118°
15) ∠ABF = 90° - 62° = 28°
16) ∠DBF = 90°+ 62° = 152°
∠CBA = ∠DBF
Please help me! How much would you expect gas to cost in 2030. Show your work.
Answer:World Bank expects the natural gas price at Henry Hub to increase to $4 per MMBtuStep-by-step explanation:
Which expression is equivalent???
Answer:
Step-by-step explanation:
x² + 2x + 2 = 0
x = -1 ± i
x² + 2x + 2 = (x+1+i)(x+1-i)