Answer:
1) H0 : σ₁ ²≥ σ₂²; Ha: σ₁² < σ₂²
2) χ²= 43.52
3) The critical region is χ²≤ 5.23
4) Reject the alternate hypothesis.
5) We conclude that the alternate hypothesis is false and accept the null hypothesis.
Step-by-step explanation:
The claim is that it fills bottle with a lower variation which is the alternate hypothesis
1) Ha: σ₁² < σ₂² where σ₁² is the variation of the new machine and σ₂² is the variation of the old machine.
The null hypothesis is opposite of alternate hypothesis H0 : σ₁ ²≥ σ₂²
2) The test statistic is χ²= ns²/σ ² which under H0 has χ² distribution with n-1 degrees of freedom assuming the population is normal.
The calculated χ²= ns²/σ ² = 68( 0.12)²/ (0.15)²=0.9792/0.0225= 43.52
3) The critical region is entirely in the left tail. χ²≤χ²( 0.99)(15)= 5.23
4) The alternate hypothesis is false hence reject it.
5) The calculated χ²= 43.52 does not lie in the critical region χ²≤ 5.23 therefore H0 is accepted and concluded that new machine does not fill bottles with a lower variation.
PLEASE HELP ME!!!
You and your friend got tricked into helping another friend move stuff from a garage into moving truck. The ramp used is 12 feet long and makes a 36° angle with the horizontal ground. You discover that the incline is just too steep, so you replace the ramp with one that is 32 feet long. What angle does this replacement ramp make with the ground? Round your answer to the nearest tenth of a degree
Answer:
12.73 Degrees
Step-by-step explanation:
I'm going to assume some things. The height of the truck is not changing, i.e. the the distance and length of the ramp is but the height stays the same.
We draw our right triangle, see photo
We really only care about finding out what side a is so
[tex]c = \frac{a}{ \sin(x) } [/tex]
Note: Let x = A
[tex]12 = \frac{a}{ \sin(36) } [/tex]
[tex]12 \sin(36) = a \\ a = 7.05342302750[/tex]
[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{12} ) \\ = 35.9999 \: degrees[/tex]
So, since I stated that height did not change, same process just using 32 for the hypotenuse.
[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{32} ) \\ = 12.73367164 \: \: degrees[/tex]
What is the cube root of -729ab6?
O-9ab2
O
-9ab3
O-8a3b2
O
-8a²b3
Answer:
Step-by-step explanation:
The way they are written, question does not fit any of the choices. Did you mean ∛(-729ab⁶) ? ∛(-729a³b⁶) ?
please answer you will be awarded brainleist
Answer:
Hi, I'm here!
Given the expression 5+3(7-4), which mathematical terms describe (7-4)? Select all that apply.
The term ( 7 - 4 ) is described as a difference or subtraction
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 5+3(7-4).
Two or more expressions with an Equal sign is called as Equation.
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 5 + 3 ( 7 - 4 )
And , ( 7 - 4 ) is described as a difference or subtraction between 7 and 4.
On simplifying , we get
A = 5 + 3 ( 3 )
A = 5 + 9
A = 14
Therefore , the value of A = 14
Hence , the term ( 7 - 4 ) is described as a difference or subtraction
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ3
Use the distributive property to find an expression equivalent to
2x(x+7-(3x+1)
Answer:
-4x² + 12x
Step-by-step explanation:
2x(x+7-1(3x+1)) = 2x(x+7-3x-1)
= 2x² + 14x - 6x² - 2x
= -4x² + 12x
PLEASE Solve y=-2.4x+8.2
What type of function does this equation represent?
2
Y = 4
(1)
Answer:
2y=4 is a linear function
Step-by-step explanation:
Since 2y=4 is the same as 2y¹=4, then a degree of 1 makes the function linear, aka. a straight line.
First, write the expression Second, 7 in fol the variable, p. Third, by 7 and 5. The answer is
Answer:
p-5
substitute
simplify
subtracting
2
Step-by-step explanation:
got it right on edg
11. Find SP, if MP = 5500, discount = 20%.
12. A car is moving at a constant speed of 40km/hr. Find the distance it will
cover in 15 minutes.
13. Find the area of a rhombus, whose diagonals are 5cm and 8cm long.
14. Find the smallest square number which is divisible by each of the numbers
6.9 and 15.
please give me an answer for these question
Answer:
11. 4400
Step-by-step explanation:
11.
solution :
MP = RS 5500
Discount = 20%
SP = MP - D % of MP
= 5500 - 20 % × 5500
= 5500 - 1100
= Rs 4400
A bag of trail mix contains 3 ounces of peanuts, 6 ounces of cranberries, 2 ounces of almonds, and 2 ounces of raisins.
What is the ratio of ounces of peanuts to ounces of almonds? Write the ratio in three different ways?
Answer: 9514 1404 393
3 : 2
3/2
1.5
Step-by-step explanation:
Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)
3 ounces of peanuts to 2 ounces of almonds can be written as ...
peanuts : almonds = 3 : 2 = 3/2 = 1.5
What is the solution to 5/6 X 2/3 =
? Mark the TWO correct
answers.
Answer:
5/9
Step-by-step explanation:
Answer:
i think is 5/9 :))
Please can someone help me. I’m giving POINTS!! Solve for X
Answer:
6
Step-by-step explanation:
By inscribed angle theorem
[tex](15x-23)\degree = \frac{1}{2}[360\degree-(91+135)\degree]\\(15x-23)\degree = \frac{1}{2}[360\degree-226\degree]\\(15x-23)\degree = \frac{1}{2}[134\degree]\\(15x-23)\degree = 67\degree\\15x-23 = 67\\15x = 67+23\\15x = 90\\x= \frac{90}{15}\\x=6[/tex]
If m∆D = 16x + 13° and m∆B = 19x - 8°, then what is the degrees measure of arv ABC?
Answer:
45 degree
Step-by-step explanation:
Solvefor x. 3x+ 2 = 9 –x
Answer:
x = 7/4
Step-by-step explanation:
3x+ 2 = 9 –x
3x + x = 9 - 2
4x = 7
x = 7/4
If the radius of a circle is one what is the sin and cosine
The unit circle is a circle with radius 1 centered at the origin of the Cartesian Plane. In a pair of coordinates (x,y) on the unit circle x2+y2=1, coordinate x is the cosine of the angle formed by the point, the origin, and the x-axis. Coordinate y is the sine of the angle.
The figure shows the dimensions of a room. How much carpet is needed to cover the floor of the room?
Length = 4m
width = 6m
Answer: 24m
Step-by-step explanation:
How much carpet is asking the area and area= LW
so Length(4) x Width(6) = 24
The value of x must be greater than
B
12
...d
0 0
A
15
0 1
O 3
07
9514 1404 393
Answer:
(c) 3
Step-by-step explanation:
The value of x must be between the difference and sum of the lengths of the other two sides. The value must be greater than 15-12 = 3.
x > 3
HELPPPPPP PLS!!!!!!!!!
Answer:
y-25=180
Step-by-step explanation:
Same line so 180 degrees.
Answer: D or “y + 25 = 180”
a straight line is 180 degrees, therefore the combination of two angles should equal 180.
With that being said the answer should be y plus 25 = 180!
to find y, flip the equation: 180 - 25 = 155. Therefore y = 155 :)
happy to help! pls give me brainliest <3
Helps me please help me please please help please help me please
Answer:
[tex]\boxed {\boxed {\sf (4,3) \ is \ not \ a \ solution}}[/tex]
Step-by-step explanation:
If we want to test a solution, we can plug it into the equations and see if it checks out.
We are given the point (4,3). Since points are written (x,y)...
x=4 y=3Substitute the values into the first equation.
[tex]11x+9y=17 \\11(4)+9(3)=17[/tex]
Multiply.
[tex]44+ 27=17\\[/tex]
Add.
[tex]71 \neq 71[/tex]
This does not check out, so we automatically know this point doesn't work. However, we can check the other equation.
[tex]x+y=7 \\4+3=7\\7=7[/tex]
Even though the second equation works, BOTH have to work because this is a system of equations. Therefore, (4,3) is not a solution.
Julio invests $6,100 into an account that earns 5.2% annual compound interest. If Julio makes no additional deposits or withdrawals, which best represents the amount of interest Julio will earn after 8 years?
A $15,250.73
B $2,120.73
C $3050.73
D $9150.73
D) $9150.73
Step-by-step explanation:
Simple compound irate =
principal*growth rate^years
or
V(t) = p*g^t
Where g = 100% + the given growth rate,
in this case, 5.2%
So,
V(8) = 6,100*1.052^8
V(8) = 9150.73
Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?
A) Commutative Property
B) Distributive Property
C) Associative Property
D) Inverse Property
Answer:
b
Step-by-step explanation:
Select the correct answer.
Consider these functions:
px) = 5x + 2
g(x) = x2 - 1
What is the value of g(4-1))?
A.
2
B.
00
C.
22
D.
48
Answer:
g(f(-1)) = 48
Step-by-step explanation:
given the following
f(x) = 5x² + 2
g(x) = x²-1
g(f(x)) = g(5x²+2)
Replace x with 5x² + 2 in g(x) as shown;
g(5x²+2) = (5x²+2))²- 1
g(f(x)) = (5x²+2))²- 1
g(f(-1)) = (5(-1)²+2))²- 1
g(f(-1)) = (5+2))²- 1
g(f(-1)) = (7)²- 1
g(f(-1)) = 49 - 1
g(f(-1)) = 48
Find the volume, in cubic centimeters, of the rectangular prism pictured below.
Answer:
V= 18.75 cm^3
Step-by-step explanation:
The formula for finding the volume for any given shape is V = L x W x H.So, multiply 2 1/2 cm x 2 1/2 cm x 3 cm.This gives you 18.75 cm^3Csc(tan^1 square root 17 divided by 8)
Please help fast!!!
Answer:
Option D
Step-by-step explanation:
We have that:
csc(x) = 1/sin(x)
Then:
csc( tan(√(17)/8)^-1 )
To use the inverse tangent function, you can go to the "inv" button in your calculator, and then use go to the "tan" button.
This is equal to:
= csc( 27.26°)
= csc(27.26°)
= 1/sin(27.26°) = 2.18
And we know that:
(9*√17)/17 = 9/√17 = 2.18
Then the correct option is D.
For each line, determine whether the slope is positive, negative, zero, or undefined. Line 1 Line 2 Line 3 Line 4 Positive O Negative O Zero O Undefined O Positive O Negative Zero O Undefined Positive Negative Zero O Undefined O Positive Negative Zero O Undefined Х $ ? Continue o Type here to search ㅇ
Answer:
Line 1: zero
Line 2: negative
Line 3: undefined
Line 4: positive
Step-by-step explanation:
Line 1 => slope is horizontal. The slope of horizontal lines are always equal to 0. Therefore, the slope of line 1 is zero.
Line 2 => the line slants downwards form our left to the right, this implies there is a decline or increase. Thus, the slope would be negative.
Line 3 => the line of a vertical line is always undefined. Line 3 slope is therefore undefined.
Line 4 => the slope slants upwards from our left to the right. This indicates a rising slope or an increase. Therefore, the slope of line 4 is positive.
2 + 2
a. 4
b. 5
c. 2222
d.21
Answer:
The correct answer is A. 4
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.
Answer:
2√3 = hypotenuse
√3 = side
Step-by-step explanation:
[tex]\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\[/tex]
Answer:
the smaller side=√3
hypotenuse=2√3
Step-by-step explanation:
(see the attachment below)
Find all real zeros of the function.
5. f(x) = x3 - 3x2 - 6x + 8
6. g(x) = x3 + 4x2 - x - 4
Answer:
I can't understand your equation. Please rewrite it.
Step-by-step explanation:
Answer:
??????????????
Step-by-step explanation:
How many square feet of outdoor carpet will we need for this hole? HELP PLS!!!
Answer: The answer is 39 square feet.
Step-by-step explanation:
By saying square feet it's indicated that you mean the area of this irregular figure.
To do this you can break apart the shape into two pieces.
The first 11 x 3 rectangle then the 2 x 3 rectangle.
Next, you can find the area to be 33 square feet and 6 square feet. respectively, afterward, you add the areas together to find the area of the figure, which is 39 square feet.
Simplify the radical expression. ⁴√81x²⁰y²⁴
I think it's either A or B
Answer:
3x^5y^6 (a)
Step-by-step explanation:
La raiz de un productor es igual al producto de las raices de cada factor
^4√81 ^4√x^20 ^4√y^24
escriba el numero en forma exponencial an base 3
^4√3^4 ^4√x^20 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 y^6
simplifica el indice de la raiz y el exponente usando 4
3x^5y^6