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
find sq.root of 19.537 by division method?
Answer:
4.42 is the answer........
Step-by-step explanation:
Im not sure
cark earned grades of 62, 78, 59, and 89 on four tests.
what is the mean of his grades
Answer:
72
Step-by-step explanation:
mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.
i think the answer is 579
Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....
Answer:
0/2 0/5 0/10
Step-by-step explanation:
Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.
PLZ HELP ME WITH THIS!?!? I WILL MARK BRAINLIEST!!!
Answer: can it be a bit clearer pls?
Step-by-step explanation:
Help please stat! Brainlist!
Answer: 11.71 meters per second.
PLZ CORRECT ME IF I AM WRONG thxs and have a lovely day :)
Step-by-step explanation:
what's the area of the quadillateral
Answer:
The area of the quadillateral is 360 degree.
Step-by-step explanation:
Hope this helped!
Have an amazing day!
Plz Help!!!
Will Give Brainliest to the First Person that answers!!!
Answer:
20
Step-by-step explanation:
In a random sample of 300 people in a town, 193 were female. What is the sample portion of female
Answer: 0.643
Step-by-step explanation:
There are 300 people and 193 were female.
The sample portion that is female is therefore;
= 193/300
= 0.643
ejt-vokv-opj join to teach
Answer:
ive seen this before its not to teach what you think stay away from it
Answer:
i thought this was a different language
Step-by-step explanation:
smh
There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices
Answer: There are 990 croissants
Step-by-step explanation:
If 45% of them are pretzels then 55% of the pastries hs to be croissants.
Multiply 55% by the total number of pastries to find the number of croissants.
55% * 1,800 = 990
WILL GIVE AS MUCH POINTS AS I CAN BC THIS IS A THROW AWAY ACCOUNT (Nvrm you guys just ganna cop the points and give me a swamp answer). WILL MARK BRAINLYEST.
1) write the equation
2) Generate at least two ordered pairs
1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.
2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription
Answer:
1 is 6x+4y=422
2 is (12,25)
i dont think 2 is right im really sorry about that- but im like kinda confident for one. i would also check with someone else tho
Answer:
3fftedvvvte4ffff
Step-by-step explanation:
ggvggrrrvvg
Jill paid a sales tax of $1.40 when she bought a vest.What was the price of the vest not including the tax?
Answer:
Price of tne Vest + $40 - 1.40 = $38.6
Step-by-step explanation:
3.5% * n = $1.40
0.035 * n = $1.40
0.035/0.035 * n = $1.40/0.035
n = $40
The price of the vest not including the tax is, $40
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products
Now,
Let p = price of a vest
Hence, from the question, this equation can be formed,
⇒ 35% of p = $1.40
⇒ 0.035 x p = $1.4
divide both sides of the equation by 0.035;
⇒ p = $40
Thus, The price of the vest not including the tax is, $40
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
Complete question is this;
Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%
100
3
80
6
60
9
40
20
0
100
web and Windows
BE
a
02 AM
NETT Dann
Answer:
Uhhhh what?
Step-by-step explanation:
I am confused...
can u pls help me with this question
ABCDE is a regular pentagon. Find each lettered angle measure.
Answer:
x° = 36°, y° = 36°, z° = 72°
Step-by-step explanation:
Each interior angle of a regular polygon is given by the following formula;
Interior angle = (n - 2)×180°/n
Where;
n = The number of sides on the polygon
For the pentagon, we have;
n = 5, therefore;
Interior angle = (5 - 2)×180°/5 = 108°
ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;
∠ADC = ∠DAC = x°, and ∠ACD = 108°
Therefore
x° = (180° - 108°)/2 = 36°
x° = 36°
∠BAC = 2·x° + y° = 108°
∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°
y° = 36°
ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each
Therefore, in ΔADE, we have;
z° = (180° - 36°)/2 = 72°
z° = 72°
Macys is having a sale on all shoes, if I buy a pair of boots that are $125 but are now 30% off what is the sale price of the boots?
Acardboard popcom container is shaped like a cone that is 11 inches high and has a radius of 2.5 inches What is the volume of the container? Use 3 14 for pi Round your answer to the nearest hundredth
Answer:
71.99 in³
Step-by-step explanation:
The formula to apply is that of volume of a cone where;
V=π*r²*h/3 --------where V is the volume of the container, r is the radius of the container and h is the height of the container
Given that : π=3.14 , r is 2.5 inches , h= 11 inches then apply values to the container as;
V= 3.14 * 2.5²* 11/3
V= 3.14 * 6.25 * 3.67
V= 71.9948
V= 71.99 in³
Answer:
Volume of Cone= 71.9583
Step-by-step explanation:
Volume of Cone= (1/3)πr²h
Volume of Cone= (1/3)×3.14×(2.5)²×11
Volume of Cone= 71.9583
find the angle measure of minor arc MP.
Step-by-step explanation:
Angle at center = 2 * Angle at circumference.
Angle MNP = 2 * Angle MQP = 30°.
Hence the angle measure of minor arc MP is 30°.
Answer:
30 degrees
Step-by-step explanation:
arc measure in degrees is twice the measure of the inscribed angle
An oxygen mask is placed on a patient. Oxygen is administered to the patient for 5 minutes. Then the oxygen
mask is removed and the amount of oxgyen in the body decreases exponentially. Which graph best describes the
amount of oxygen in the patient's bloodstream beginning with the moment when oxygen is first administered?
Please answer A and B!!!
Answer:
7 and 2
Step-by-step explanation:
i did this before i know
Steel is an alloy of iron and carbon (98% iron, 2% carbon). Stainless steel is steel and chromium, (90% steel, 10% carbon). What amount of iron, carbon, and chromium are needed for 500 kg of stainless steel?
500 kg x 90% = 500x 0.9 = 450 kg of Steel is needed.
450 kg x 98% = 450 x 0.98 = 441 kg of iron needed.
450 x 0.02 = 9 kg of carbon is needed for the steel.
50 kg of chromium is needed.
Chromium is 10% carbon, 50x 0.1 = 5 kg of carbon is needed for the chromium.
Total iron = 441 kg
Total carbon = 9 + 5 = 14 kg
Total chromium = 50 kg
Jenny bought a pair of shoes for $49.76 with a 30% off coupon. How much will she pay in total after 7% sales tax?
Answer: the final price is $37.26
Step-by-step explanation:
Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:
A + A*(X%/100%)
And for a decrease, the equation is_
A - A*(X%/100%)
Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be
$49.75 - (30%/100%)*$49.75 = $34.83
Now we have an increase of the 7% because of the IVA, then the final price is:
$34.83 + (7%/100%)*$34.83 = $37.26
Match these?
LA
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
SAS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
SSS
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
Answer:
see below
Step-by-step explanation:
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
This is angle side angle ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
This is hypotenuse leg HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
This is side side side SSS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
This is leg angle LA
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
This is side angle side SAS
Help please.....its due today
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Based on the advertised sales, at which store will Zachary get the lowest price on 4 tires?
Answer:
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Step-by-step explanation:
At store R, we get the fourth tire for free, if we buy three tires.
Each tire costs $150, so the cost of 3 tires is .
So at store R, we get 4 tires for $450.
At store S, if we buy 4 tires, we pay $70 off for each tire.
Each tire costs $200, so the cost of 4 tires is
If we get $70 off for each tire, we get for 4 tires.
So at store S, we get 4 tires for
So at store S, we get 4 tires for $520.
Step 2:
At store T, if we buy 4 tires, we pay $200 off the total price.
Each tire costs $175, so the cost of 4 tires is
If we get $200 off the total price, we get for 4 tires.
So at store T, we get 4 tires for $500.
At store V, if we buy 4 tires, we get 10% of the total price.
Each tire costs $130, so the cost of 4 tires is
If we get 10% off the total price, we get for 4 tires.
So at store V, we get 4 tires for $468.
Step 3:
So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.
So Isaiah will get the lowest price on 4 tires at store R.
At store R, we get the fourth tire for free, if we buy three tires.
Each tire costs $150, so the cost of 3 tires is .
So at store R, we get 4 tires for $450.
At store S, if we buy 4 tires, we pay $70 off for each tire.
Each tire costs $200, so the cost of 4 tires is
If we get $70 off for each tire, we get for 4 tires.
So at store S, we get 4 tires for
So at store S, we get 4 tires for $520.
Step 2:
At store T, if we buy 4 tires, we pay $200 off the total price.
Each tire costs $175, so the cost of 4 tires is
If we get $200 off the total price, we get for 4 tires.
So at store T, we get 4 tires for $500.
At store V, if we buy 4 tires, we get 10% of the total price.
Each tire costs $130, so the cost of 4 tires is
If we get 10% off the total price, we get for 4 tires.
So at store V, we get 4 tires for $468.
Step 3:
So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.
So Isaiah will get the lowest price on 4 tires at store R.
The weighted mean of the variables 2,5,8,10 with weights 1,3,1,2 is...
6.2
O 6.4
O 1.4
which one ?
Find the value of x.
Group of answer choices
25
40
65
115
Answer:
40
Step-by-step explanation
x=40 because if you time these in like this:
3(40)-10= 110
40+15=55
If you user 65 it'll be wrong because:
3(65)-10=185
And the whole thing is only 180 :]
Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue is R(x) = - 0.4{x^3} + 700{x^2} - 600x + 500R(x)=−0.4x 3 +700x 2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:
[tex]c(x) = 600x {}^{2} + 300x[/tex]
monthly revenue:
[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]
profit function:
[tex]p(x) = r(x) - c(x)[/tex]
[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]
i) remove the first bracket
[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]
ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]
iii) collect like terms
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]
iv) simply the like terms
[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]
I’ll mark brainliest please help with all and leave a small explanation! :)
Answer:
A y=6 x= 3
B y=4 x= 2
C y=6 x= 2
D x= 4 y= -2
Step-by-step explanation:
you need to add the numbers on and look how many once u do thag u can see the pattern it makes
Lee is making scarfs for a shelter. He purchased 11 skeins of yarns. Each skein has 660 feet of yarn. He needs 200 yards of yarn to make one scarf.
Answer:
Give me sum
Step-by-step explanation:
Answer:
Most scarves will use one to two skeins of yarn. According to the chart above, you will probably need about 300–650 yards, depending on the weight of yarn, the colors, the stitches, style, and length amongst other factors.
Step-by-step explanation: