Answers
Answer:
x = 69Step-by-step explanation:
∠K = 180 - 146 = 34
34 + x + 77 = 180
x = 180 - 77 - 34
x = 69
Related Questions
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 8 ounces are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with a variance of 0.03 ounces squared. Is there evidence that the machine should be stopped and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of significance in the analysis should be 99%.
Answers
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis is:
[tex]H_o: \mu = 8[/tex]
The alternative hypothesis is:
[tex]H_1 : \mu \ne 8[/tex]
The sample size n = 35
Sample mean = 7.91
variance = 0.03
Standard deviation = [tex]\sqrt{0.03} = 0.173[/tex]
The t-test statistics is computed as:
[tex]t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}[/tex]
[tex]t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}[/tex]
t = - 3.0741
Degree of freedom:
df = n - 1
df = 35 - 1
df = 34
Level of significance = 1 - C.I
= 1 - 0.99
= 0.01
The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:
[tex]t_{critical} = -2.728 \ and \ 2.728[/tex]
Decision rule: To reject [tex]H_o[/tex] if [tex]t< -2.728 \ or \ t > 2.728[/tex]
As [tex]t_{statistics}[/tex] fails the rejection region, we reject [tex]H_o[/tex]
Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.
You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.
There is enough evidence that the machine should be stopped and production wait for repairs.
Given information about taken sample are:Sample mean [tex] \overline{x} = 7.91[/tex]Sample size n = 35Sample standard deviation [tex]s = \sqrt{variance} = \sqrt{0.03} = 0.1732[/tex]Confidence should be of 99%.Let the population mean be denoted by [tex]\mu[/tex]
Forming hypotheses:Null hypothesis: [tex]\mu = 8[/tex] (that is, machine needs no repair and working fine)
Alternate hypothesis: [tex]\mu \neq 8[/tex] (that is, machine is not dispensing right amount and need repairs)
Using t test:
[tex]t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821[/tex]
Degree of freedom = sample size - 1 = 34
Level of significance = [tex]\alpha = 1 -0.99 = 0.01[/tex]
From t tables we have:
[tex]t_{critical} = t_{0.01} = \pm 0.278[/tex] (two tailed test) (at 34 degree of freedom)
Since obtained value of t -0.30821 is less than the minimum value of range [tex](-0.278, 0.278)[/tex], thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.
Thus, there is enough evidence that the machine should be stopped and production wait for repairs.
Learn more about testing of hypothesis for single mean here:
https://brainly.com/question/25316952
HELP MI PORFA<3
Question 1 (4 points)
1. Write a two column proof. (4pts)
Given: 2(3x + 4) = 56
Prove: x = 8.
I
Question 2
Answers
Step-by-step explanation:
2(3x+4)=56
<=> 6x+8=56
<=> 6x=48
<=> x=8
x+2=7,x=........?Please help
Answers
Answer:
5
Step-by-step explanation:
5 + 2 = 7
True or False. Use the information below to answer questions 10, 11, and 12.
The local sporting goods store sells footballs at the following rate.
Number of Footballs n Total Price t
2 $17.00
4 $34.00
Use the chart above and the following information to answer the true and false questions that follow. The sporting goods store also sells baseballs at a 50% of the cost of the footballs. Determine which of the following statements are true. Select True or False for each statement.
10. The price of 6 baseballs is less than the price of 4 footballs. True or False
11. The difference in the price of 1 football when compared to the price of 1 baseball is less than $3
12. The price of 3 footballs is equal to the price of 6 baseballs. True or False
Answers
Answer:
True, False, True
Step-by-step explanation:
Calculate the unit price of a football and a baseball
2 footballs cost $17.00 , then
1 football costs $17 ÷ 2 = $8.50
A baseball is 50% of a football, thus
cost of base ball = 50% of $8.50 = 0.5 × $8.50 = $4.25
(10)
4 footballs cost $34.00 ( given in table )
6 baseballs cost 6 × $4.25 = $25.50 < $34
Thus 6 baseballs < 4 footballs is True
(11)
The difference in price = $8.50 - $4.25 = $4.25
Thus the difference in price is greater than $3, not less False
(12)
3 footballs cost 3 × $8.50 = $25.50
6 baseballs cost 6 × $4.25 = $25.50
Thus the costs are equal is True
Answer:
Answer:
see explanation
Step-by-step explanation:
1
(a)
If 2 chords of a circle intersect then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord.
(b)
If 2 secants are drawn from an external point to a circle then the product of the measures of one secant's external part and the entire secant is equal to the product of the measures of the other secant's external part and that entire secant.
(c)
If a tangent and a secant are drawn from an external point to a circle , then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant.
2
A radian is defined as the angle subtended at the centre of a circle by an arc equal to the radius of the circle.
1 revolution = 360° = 2π radians
1 radian = \frac{360}{2\pi }
2π
360
≈ 57°
3
(a)
An inscribed circle of a triangle is a circle drawn inside a circle so the circle barely touches the sides of the triangle.
(b)
The incentre is at the point of intersection of the triangle's 3 angle bisectors.
(c)
A circumscribed circle of a triangle ( circles drawn around the triangle so that the circle passes through each of the triangles's vertices.
(d)
The circumcentre is at the intersection of the perpendicular bisectors of the triangle's sides.
'
Grade 4 Mathematics- Checkpoint #3
In 2008 the total number of cell phone users in Indonesia was about 140,578,000. Which expression has the same value as 140,578,000?
Answers
Answer:
2^4 x 5^3 x 70289
Step-by-step explanation:
16 x 125 x 70289=140,578,000
Help please!!!
Triangle ABC is similar to triangle PQR, as shown below
Answers
Answer:
b:q
Step-by-step explanation:
im pretty sure its that. ive learned this before.
if you flipped them so that c and r were facing the same direction, then b and q would be too.
A computer's hard disk holds 7.5 * 107 bytes of information. Jaden adds an extra memory stick so he can store a total of 7.75 X 107 bytes of information. The memory stick holds mx 109 bytes of information, where mis and n is
Answers
Answer:
I believe that the awnser is 2.5 and 6
Step-by-step explanation:
Answer:
The other person is right
Step-by-step explanation:
Benson is building cabinets he can build 1 1/2 cabinets in 3/4 hour how many cabinets can he build in one hour
Answers
Answer:
2
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]
cross-multiply: 6x = 12
x = 2
Answer:
2 cabinets
Step-by-step explanation:
In 3/4 hour he builds 1 1/2 cabinets.
1/4 hours is 1/3 of 3/4 hour.
In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.
In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.
Answer: 2 cabinets
Use special right triangle ratios to find the length of the hypotenuse. Right Triangle Trig.
Answers
Answer:
11 sqrt(2)
Step-by-step explanation:
We know that in a 45 45 90 triangle, the lengths of the sides are x, x ,x sqrt(2)
the length of x is 11
so the lengths of the sides are 11, 11, 11 sqrt(2)
The hypotenuse is 11 sqrt(2)
Find the recipricol of -b/3
Answers
Answer:
-0.333333333
Step-by-step explanation:
Which angle(s) is/are supplementary?
Answers
Answer:
Two Angles that add up to 180
Step-by-step explanation:
90 degrees+ 90 degrees= 180 degrees
160degrees+ 20 degrees= 180 degrees
Hope this helps!
Look at this table:
х
у
-19
2
2
11
8
16
Is this relation a function?
yes
no
Answers
Answer:
The answer is No
Step-by-step explanation:
Answer:
no because it has two of the same x values
25 Point Math Question Image Attached
Answers
X = hypotenuse x sin(angle)
Rewriting this with the given information:
Sin(26) = x/10
The answer is B.
Answer:
answer is B
Step-by-step explanation:
just got it right
Which statements are true about the rectangle? Check
all that apply
The other sides of the rectangle measure 4 in. and
12 in
2 The perimeter, in cm, can be found using the
expression
(2 * 12) + (2 X 4).
The area can be found by multiplying 12 cm by 4
cm.
The volume can be found using the expression
12 cm x 4 cm x 4cm.
The rectangle has an area of 48 cm3
Answers
The true statements of the rectangle are as follows:
The other sides of the rectangle measures 4 inches and 12 inches. The perimeter in cm can be found using the expression (2×12)(2×4)The area can be found by multiplying 12 cm by 4 cm.The statements that are true in the option are highlighted with point listing.
The other sides of the rectangle measures 4 inches and 12 inches.Generally a rectangle has 2 opposite sides equal to each other.
The perimeter in cm can be found using the expression (2×12)(2×4)The perimeter of a rectangle can be express as follows:
perimeter = 2l +2w
where
w = width
l = length
The area can be found by multiplying 12 cm by 4 cm.The area of a rectangle can be express as follows
area = lw
The last 2 statement are not true statement because the volume of a rectangle cannot be found as it is a 2 dimensional figure and the units for area is squared but it was express in cm³(centimetre cube)
read more: https://brainly.com/question/2827496?referrer=searchResults
Answer:
B and C
Step-by-step explanation:
which of these number lines represents the difference -3-2
Answers
Answer:
Number line D
Step-by-step explanation:
That line goes from 0 to -3 and subtracts 2, as the equation shows.
A tax deduction helps lower one's taxes, bit how does it do it?
A) a tax deduction increases one's income
b) a tax deduction lowers one's taxable income aking less tax due
c) a tax deduction lowers the percentage of sales tax for those with lower income
d) a tax deduction lowers the percentage of sales tax for those with lower income
Answers
Answer is B because I learned it in school
28.2% of 92 this is for math
Answers
Hey there!
Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying
So we can simply multiply 28.2% from 92
28.2% = 28.2/100 = 0.282
New equation
0.282 * 92 = the answer
0.282 * 92 = 25.944
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?
A.
2
B.
4
C.
8
D.
48
Answers
Answer: It's A. 2.
Step-by-step explanation:
Answer:
its not a
Step-by-step explanation:
A house has decreased in value by 38% since it was purchased. If the current value is $155,000, what was the value when it was purchased?
Answers
Is that the right question?
please help me answer this i will give you brainiest if its right and a thanks!! :)
Answers
Answer:
2 to 7
Step-by-step explanation:
just say something so that you can have my points :)
Answers
Answer:
thanks !!
Step-by-step explanation: have a wonderful day :)
Answer:
Thank you!!
Step-by-step explanation:
Have a great day:)
complete the following proof
Answers
Answer:
Step-by-step explanation:
statment/reason
1) HK≅JK / given (S)
2) IK bisects ∠HKJ / given
3) ∠3≅∠4 / angle bisectors form congruent angles (A)
4) HK≅JK / given
5) IK ≅IK / reflexive propriety (S)
6) ΔIHK≅ΔIJK / SAS theorem of congruency
7) ∠1≅∠2 / corsponding parts of congruent Δs are ≅
8) IK bisects ∠HIJ / angle bisectors form congruent angles
Please help me please I am failing
Answers
Answer
1/3
Step-by-step explanation:
This is because the number of spaces in between all the dots is 3 and so each of those spaces is 1/3, therefore a-b is one line which is 1/3. :3
help :( someone can explain me
Answers
Answer:
B, C, D
Step-by-step explanation:
-2 is 8 spaces away from 6 so do the math for each possible answer and u get B,C,D.
B.
6 - (-2)
6 + 2 = 8
C.
| -2| = 2
6+2 = 8
D.
|-2+6|
2+6 = 8
3. Which set is an example of like fractions?
O A.2/and 2/3
O B.7/4 and 4/7
c. 1/2 and 3/2
D. 10/10 and
O D.
(10 and 5/5
Answers
Answer: C
Step-by-step explanation: The group of two or more fractions that have exactly the same denominator are called like fractions. ... For example, 1/7, 2/7, 5/7, 6/7 are all like fractions, whose denominators equal to 7.
rewrite in standard form y-2=4/3(x-1)
Answers
Answer:
y= 4/3x + 2/3
Step-by-step explanation:
distribute the 4/3 into the parenthesis. Rearrange and solve
y = 4/3x - 4/3 + 2
y = 4/3x + 2/3
3y = 4x + 2
Stand form: Ax + By = C
Solution: 4x - 3y = -2
There are 12 1/4 pounds of candy canes to split between four classes evenly. How many pounds of the candy canes will each class get ?
Answers
each class gets 3 and 1/16 pounds
Least to greatest 0.4, 5/8, 74%, 3/5
Answers
Answer:
0.4,3/5,5/8,74%
Step-by-step explanation:
Change them all into decimals.
Get 0.4,0.625,0.74,0.6
Then reorder and see what their original values were
please help me please
Answers
to sacrifice my own life for pakistan
Answers
Answer:
yes.
Step-by-step explanation:
r these just free points?