Using the t-distribution, as we have the standard deviation for the samples, it is found that the data does not provide statistical evidence that there is a difference.
What are the hypotheses tested?At the null hypotheses, it is tested if there is no difference in the means, that is, the subtraction is of 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypotheses, it is tested if there is a difference, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
What are the mean and the standard error of the distribution of differences?For each sample, they are given by:
[tex]\mu_1 = 1.82, s_1 = \frac{1.51}{\sqrt{100}} = 0.151[/tex]
[tex]\mu_2 = 1.65, s_2 = \frac{1.39}{\sqrt{100}} = 0.139[/tex]
Hence, for the distribution of differences, they are given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 1.82 - 1.65 = 0.17[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.151^2 + 0.139^2} = 0.205[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{0.17 - 0}{0.205}[/tex]
[tex]t = 0.83[/tex]
What is the decision?Considering that it is a two-tailed test, as we are testing if the mean is different of a value, with 100 + 100 - 2 = 198 df and a significance level of 0.02, the critical value is of [tex]|t^{\ast}| = 2.3453[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which means that the data does not provide statistical evidence that there is a difference.
More can be learned about the t-distribution at https://brainly.com/question/13873630
help one of these qtns pls
Answer:
(a) 3x + 4 = 2x + 1
3x - 2x = 1 - 4
x = -3
Step-by-step explanation:
To solve for 'X', you must move all 'x' to the left-hand side, as seen through the working out. To balance it, you move all the lone numbers without (constants) to the right. Remember: when you move values across the 'equals' sign, the sign of the value you are moving becomes switched. For example, if you're moving 3x + 1 = 0 and you wish to move 1 to the other side, it becomes 3x = 0 ( - 1).
what are three expressions that are equivalent to 15+45
Answer:
40+20, 50+10, 46+14
Step-by-step explanation:
15+45=60 = 50+10=60 46+14=60
25= 5(3X-4)^1/3
PLEASE HELP AND SHOW WORK!
THANKS SM
Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Given equation:
[tex]25=5(3x-4)^{\frac13}[/tex]
Divide both sides by 5:
[tex]\implies 5=(3x-4)^{\frac13}[/tex]
Cube both sides:
[tex]\implies 5^3=((3x-4)^{\frac13})^3[/tex]
[tex]\implies 125=(3x-4)^{\frac33}[/tex]
[tex]\implies 125=(3x-4)^1[/tex]
[tex]\implies 125=3x-4[/tex]
Add 4 to both sides:
[tex]\implies 129=3x[/tex]
Divide both sides by 3:
[tex]\implies x=43[/tex]
Answer:
x = 43
Step-by-step explanation:
25 = 5∛(3x - 4)On cubing the entire expression :15625 = 125(3x - 4)3x - 4 = 1253x = 129x = 43I don't know how to solve this
Answer:
7
Step-by-step explanation:
List out possible numbers that would add to the answer choices and see which has most possibilities
7
3 + 4
5 + 2
1 + 6
10
5 + 5
4 + 6
11
5 + 6
12
6 + 6
Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: C
Step-by-step explanation:
HELP PLEASE I REALLY SUCK AT MATH
Answer:
D is the answer because 4 goes into all of them.
Using your answer from #7, find the perimeter of the triangle.
Answer From #7: 9
Answer:
58
Step-by-step explanation:
x=9
3(9) + 1 + 4(9) -8 + (9) - 7 = 58
Find the geometric mean of 24 and 32
Answer:27.712812921102
Step-by-step explanation:
24*32=x*x
√768=√x²
27.712812921102=x
Geometric mean formula
GM=√aba=24
b=32
Find GM
√(24)(32)√76827.7128On rounding
GM=27.7-x= x – 10
How many solutions does this equation have?
A.Infinitely many solutions
B.No solutions
C.Two solutions
D. One solution
Answer:
D
Step-by-step explanation:
Answer: One if any.
-x = x - 10 Add x to both sides
-x+x = x + x - 10 Combine
0 = 2x - 10 Add 10 to both sides
10 = 2x - 10+10 Combine
10 = 2x Divide by 2
10/2=2x/2
x = 5
Definite Answer: One Solution
In ΔNOP,the measure of ∠P=90°, NP = 16, ON = 65, and PO = 63. What ratio represents the cosecant of ∠N?
Answer: 65/63
Step-by-step explanation:
The cosecant of angle N is the reciprocal of the sine of angle N.
Using SOHCAHTOA, the sine of angle N is 63/65.
This means that the cosecant of angle N is 65/63.
Factorize x2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)
Answer:
(2x+3y)(x2+3x+2). it may helps you
Answer:
[tex]\tt 2x^3+3x^2y+6x^2+9xy+4x+6y[/tex]
Step-by-step explanation:
[tex]\tt x^2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)[/tex]
Expand by distributing terms:-
[tex]\tt 2x^3+3x^2y+3x(2x+3y)+2(2x+3y)[/tex]
Expand by distributing terms:-
[tex]\tt 2x^3+3x^2y+6x^2+9xy+4x+6y[/tex]
~
Please Help! Will Give Brainlest! Locks In an Hour!
Answer:
B. - 0.383Step-by-step explanation:
Since cotangent of angle is:
cot λ = cos λ / sin γAnd
cos λ = x/1, sin λ = y / 1The value of cot λ is:
cot λ = x/y = - 0.358/0.934 = - 0.383 (rounded)Correct choice is B
Help on this pleasse.
Answer: 40 degrees
Step-by-step explanation:
Find the average squared distance between the points of r{(x,y): 0x, 0y} and the point (,)
The average squared distance between the points is their variance
The average squared distance is 8/3
How to determine the average squared distance?The given parameters are:
R={(x,y): 0<=x<=2, 0<=y<=2}
The point = (2,2).
f(x,y) = (x-2)² + (y-2)²
The squared distance is calculated as:
D² = f(x,y) = (x-2)² + (y-2)²
Where the area (A) is:
A = xy
Substitute the maximum values of x and y in A = xy
A = 2 * 2
A = 4
The minimum values of x and y are 0.
So, the limits for the integrals are 0 to 2
The integral becomes
[tex]D\² = \int \int (x-2)\² + (y-2)\² dx dy[/tex]
Expand
[tex]D\² = \int \int x\² -4x + 4 + (y-2)\² dx dy[/tex]
Evaluate the inner integral with respect to x from 0 to 2
[tex]D\² = \int \frac 13x^3 -2x^2 + 4x + x(y-2)\² |\limits^2_0 dy[/tex]
Expand
[tex]D\² = \int [\frac 13(2)^3 -2(2)^2 + 4(2) + (2)(y-2)\²] dy[/tex]
Simplify
[tex]D\² = \int \frac 83 + (2)(y-2)\² dy[/tex]
Expand
[tex]D\² = \int \frac 83 + 2y^2-8y + 8 \ dy[/tex]
Evaluate the integral with respect to y from 0 to 2
[tex]D\² = [\frac 83y + \frac 23y^3- 4y^2 + 8y ]|\limits^2_0[/tex]
Expand
[tex]D\² = \frac 83*2 + \frac 23*2^3- 4*2^2 + 8*2[/tex]
D² = 32/3
The average squared distance (AD²) is calculated as:
AD² = D²/A
So, we have:
AD² = 32/3 [tex]\div[/tex] 4
Evaluate the quotient
AD² = 32/12
Simplify
AD² = 8/3
Hence, the average squared distance is 8/3
Read more about average distance or variance at:
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The average squared distance between the points of R = {(x,y): 0<=x<= h, 0<=y<=k } is 8/3.
How do determine the average squared distance?
From the given parameters R = {(x,y): 0<=x<= h, 0<=y<=k }
The squared distance from point (h, k) is calculated as
D² = f(x,y) = (x-2)² + (y-2)²
Where the area (A) will be
A = xy
Substitute the maximum values of x and y
A = 2 × 2 = 4
The minimum values of x and y are 0.
So, The integral becomes
[tex]D^{2} = \int \int(x-2)^2 +(y-2)^2 dx dy\\\\D^{2} = \int \int\limits^2_0 (x)^2 -4x + 4+(y-2)^2 dx dy\\\\D^{2} = \int1/3(x)^3-2x^{2} +4x + 4+x(y-2)^2 dy\\\\D^{2} = \int8/3+2y^{2} -8y +8 dy[/tex]
[tex]D^2 = {8/3y +2/3y^2 -4y^2+8y[/tex]
By expanding we get,
D^2 = 32/3
The average squared distance (AD²) is calculated as:
AD² = D²/A
AD² = 32/3 4
AD² = 32/12
AD² = 8/3
Hence, the average squared distance is 8/3
Read more about average distance;
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Two basketballs fell, without bouncing, from a net and a chair at the same time. The ball which fell from the net rolled 30 feet. Note: Figure is not drawn to scale The horizontal and vertical distances traveled by the balls formed similar triangles. How far did the second ball roll from the chair? A. 6 feet B. 22 feet C. 4 feet D. 3 feet
Answer:
c
Step-by-step explanation:
100pts Help rounding!
Answer:
5
Step-by-step explanation:
5 158/559
= 5 + 158/559
= 5 + 0.28264758
= 5.28264758
= 5 (rounded to nearest whole number)
Answer:
5
Explanation:
[tex]\rightarrow \sf 5\dfrac{158}{559}[/tex]
[tex]\rightarrow \sf 5.282647585[/tex]
The whole number is the quotient in any fraction.
Brainliest available
Find "X"
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: ({4}^{2}) \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: ({ {2}^{2}) }^{2} \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: ({ {2}^{}) }^{4} \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:2 {}^{4 + 9} = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4 + 9[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 13[/tex]
hence, value of x is 13
[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]
Answer:
x = 13
Step-by-step explanation:
[tex]\left(4^2\right)\left(2^9\right)=2^x[/tex]
[tex]\mathrm{multiply}[/tex]
[tex]4^2=16[/tex]
[tex]2^9=512[/tex]
[tex]16*512=8192[/tex]
[tex]8192=2^x[/tex]
[tex]\mathrm{Flip \;the \;equation}[/tex]
[tex]2x=8192[/tex]
[tex]log(2x)=log(8192)(Take \;log \;of\; both \;sides)[/tex]
[tex]x*(log(2))=log(8192)[/tex]
[tex]x=\frac{log(8192)}{log(2)}[/tex]
[tex]x=13[/tex]
[RevyBreeze]
Scientists put marks on 72 moose as part of an effort to estimate the local moose population. Later, the scientists flew over the area and counted a total of 430 moose, of which 43 were marked. To the nearest whole number, what is the best estimate for the moose population?
Answer:
72x430/43
Step-by-step explanation:
What are the solution(s) for the quadratic equation?
Y=5x^2-9x+4
Show work
Let's see
[tex]\\ \rm\rightarrowtail 5x^2-9x+4=0[/tex]
[tex]\\ \rm\rightarrowtail 5x^2-5x-4x+4=0[/tex]
[tex]\\ \rm\rightarrowtail 5x(x-1)-4(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail (5x-4)(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail x=4/5,1[/tex]
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The top-left one.
Step-by-step explanation:
The bottom pictures show that Chef B chopped more carrots than Chef A.
So those pictures are incorrect.
The top-right picture shows that Chef A chopped twice as many carrots as Chef B. So, that isn't correct either.
Finally, we get to the top-left picture.
Chef A chopped 3 times as many carrots as Chef B.
Thus the correct answer is the top-left picture.
Also, I would appreciate it if you marked me as brainliest.
3) 18 mm
4mm
4) 11 in
19 in
5) 5 mi
11 m
Answer:
3= perimeter=44 area=73
4= perimeter=60 area=209
5= perimeter=32 area=55
Step-by-step explanation:
18x4=72
18+18+4+4=44
11+11+19+19=60
11x19=209
5x11=55
5+5+11+11=32
what is the measure of the angle shown?
Answer:
35 degrees
Step-by-step explanation:
Answer:
The measure of the angle is 35 degrees
Step-by-step explanation:
There are two measurements on the protractor.
If the angle is acute you will use the smaller measurenment of the two, and if the angle is obtuse, you will use the larger of the two.
In this case the angle is acute, so the measure is 35 degrees.
Hope that helps!
find the direct variation of y-x=4 (PLEASE TRY TO EXPLAIN THE ANSWER)
Answer: x = -4 + y
Step-by-step explanation:
Subtract y from both sides y- x - y = 4 - y
Simplify -x = 4 - y
Divide by -1
-x ÷ -1,
4 ÷ -1,
y ÷ -1,
Simplify x = -4 + y
HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLO
Answer:
hi
Step-by-step explanation:
Need done ASAP
If f(x)=2x+7 and g(x)=5x-3, which expression represents (f-g)(x) ?
Please show work
A robot vacuum cleans a dirty floor using multiple passes. During each pass, 24% of the dirt is removed. If the floor initially has 550 ml of dirt, write a function to find out how much dirt will remail after 10 passes?
please include function and value.
The function is given by y = 550(0.76)ˣ, after 10 passes, the number of dirts is about 35.36 ml
How to solve an exponential function?
Let y represent the amount of dirt on the floor after x passes.
The floor initially has 550 ml of dirt, hence a = 550.
During each pass, 24% of the dirt is removed. Hence b = 100% - 24% = 76% = 0.76
The equation is given by:
y = 550(0.76)ˣ
After 10 passes:
y = 550(0.76)¹⁰ = 35.36 ml
The function is given by y = 550(0.76)ˣ, after 10 passes, the number of dirts is about 35.36 ml
Find out more on exponential function at: https://brainly.com/question/12940982
(b) A line has the equation y = 6x + 11
Does the point (-3,15) lie on the line? Explain you answer as fully as possible
Hi, to begin, the ordered pair value (-3, 15) has an x-value of -3. So, to see if it lies on the line of your equation y = 6x + 11, plug -3 in for x. This gives you y = 6(-3) + 11 = -7 So the ordered pair answer for this would be (-3, -7) and not (-3, 15). So the answer is no.
Hey there!
-----------------------_----------_---------PLS HELP ME
Use the box-and-whisker plot to complete each of the following statements.
A)The median of Set A is approximately ___ the median of Set B.
Answers I can pick from: Half of, the same, twice
B) The range of Set B is approximately ___ the range of Set A.
Answers I can pick from: Half of, the same, twice
C) The interquartile range of Set A is ____ the interquartile range of Set B.
Answers I can pick from: Less then, greater then, the same
D. There is ____ overlap between the two data sets.
Answers I can pick from: some, much, little, like, no
To find the range, interquartile range, and median of the box plot, see the image attached below to use as a guide.
What is a Box Plot?A box plot consists of a rectangular box, a vertical line that divides the box, and two whiskers extending from the box.
The box plots being referred to in the question are missing, however, the diagram attached shows how to determine the values you will need in solving the question.
The median is represented by the vertical line that divides the rectangular box.
The range = max value - min value.
The interquartile range = the range of the rectangular box = Q3 - Q1.
In summary, to find the range, interquartile range, and median of the box plot, see the image attached below to use as a guide.
Learn more about box plot on:
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Solve for x: √(32^0 + 2/3)=(0.6)^2-3x
Step-by-step explanation:
Given: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
Asked: Find the value of x = ?
Solution: Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
⇛√{1 + (2/3)} = (0.6)²⁻³ˣ
⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ
⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ
⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ
⇛√(5/3) = (0.6)²⁻³ˣ
Squaring on both sides then
⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²
⇛√(5²/3²) = {0.6}(²⁻³ˣ)²
⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²
⇛5/3 = {0.6}(²⁻³ˣ)²
[[tex]\mathsf{\because}[/tex] (aᵐ)ⁿ = aᵐⁿ]
⇛5/3 = (0.6)²*²⁻³ˣ*²
⇛5/3 = (0.6)⁴⁻⁶ˣ
⇛5/3 = (6/10)⁴⁻⁶ˣ
⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ
⇛5/3 = (3/5)⁴⁻⁶ˣ
⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ
[[tex]\mathsf{\because}[/tex] a⁻ⁿ = 1/aⁿ]
Base are the same, so the exponents must be equal.
[tex]\mathsf{\therefore}[/tex] -1 = 4 - 6x
Shift the number 4 from RHS to LHS, changing it's sign.
⇛-1 - 4 = -6x
⇛-5 = -6x
⇛x = {(-5)/(-6)}
[tex]\mathsf{\therefore}[/tex] x = 5/6
Answer: Hence, the value of x for the given problem is 5/6.
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Which effect did World War II have on the United States?
a) The United States became the richest, most powerful nation in the world.
b) The war caused the United States to enter another severe depression.
c) The war had little effect on the United States.
d) The United States became second in power only to England.
Answer:
the anwer is A cause jobs and industials had 96 percent and corperate profits after taxes doubled
Answer:
a
Step-by-step explanation:
world War 2 did in fact cause the United States to become the richest and most powerful