Answer:
84
Step-by-step explanation:
You need to figure out 7 times what gets you 42
6 x 7 = 42
then you do the same for 14
14 x 6 = 84
sorry if this wasn't a good explanation
2x^2-20x+100 quadratic formula
Answer:10
Step-by-step explanation:
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%.
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
Plz answer the question attached
Answer:
y = -2x + 5
Step-by-step explanation:
To find the slope, you need to pick two points and put into the slope formula. It doesn't matter which ones, you will get the right answer regardless. I used (-3, 11) and (2, 1).
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]
Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form. You will also need to plug one of the given points. Again, it doesn't matter which one.
[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]
Simplify.
12 + 15 : 3x6 - 4
Answer:
Step-by-step explanation:
Divide the numbers
12+153⋅6−412+153⋅x6−412+315⋅x6−412+56−412+5x6−4 12+5x6−4
The value of x, rounded to the nearest tenth is...
Answer:
67
Step-by-step explanation:
6) Determine if the two figures are similar. Present an informal argument to present
as to why they are or are not similar.
Step 1
Step 2
Step 3
Answer:
yes they are similar
step 1: flip it across the y-axis
step 2: translate it 4 units to the right and 5 units down
step 3: dilate it by a factor of 1/2
Step-by-step explanation:
Estimate 48% of 199o
Answer:
Not sure if this is a typo but
48% of 199=95.52
48% of 1990=955.2
Step-by-step explanation:
Answer: 95.52.
Explanation: First take 199 then do times 48, then you'd get 95.52. Hope that helps!
Evaluate: 12 divided by y+9d if y = 5 and d = 7
Answer:
0.25
12/5+(7x5)
Step-by-step explanation:
12/5+(7x5)
12/5+35
12/40
plz help! will give brainliest!!
Answer:
D) 18 units
Step-by-step explanation:
The ratio is
2 : 3
The actual number values are
12 : ?
Divide 12 by 2 (square A's side) = 6
Multiply 6 by 3 (square B's side) = 18
one third of a number x is equal to 8
Answer:
ok
Step-by-step explanation:
1929 concert tickets were sold for a total of $31,062. If students paid $13 and nonstudents paid $20, how many student tickets were sold?
Answer:
answer is attached in the figure below hope it helps please mark it as brainlist
There are 143 students, 6 teachers, and 8 chaperones going to the theater. To reserve their seats, they need to reserve entire rows. Each row has 9 seats.
How many rows must they reserve?
HELP ME PLES I NEED IT
Answer:
The trip is 50 miles
Step-by-step explanation:
30 = (60/100)T
T = (10/6)(30) = (5/3)(30) = 50 miles
Given the equation [tex]\sqrt[2]{x-5} = 2[/tex], solve for x and identify if it is an extraneous solution.
x = 6, solution is not extraneous
x = 6, solution is extraneous
x = 11, solution is not extraneous
x = 11, solution is extraneous
Answer:
x = 6, solution is not extraneous
Step-by-step explanation:
If you go and plug in 6 then the equation works well and there are no extraneous solutions.
Y=^2+5x-7 find the vertex
Answer:
-5/2-39/2
Step-by-step explanation:
Maël mixes 151515 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of bleach with 3.753.753, point, 75 liters (\text{L})(L)left parenthesis, start text, L, end text, right parenthesis of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution.
Which of the following could be combinations of volumes of bleach and water for Maël's sanitizing solution?
The combination of volumes of bleach and water for Maël's sanitizing solution will be 12 mL of bleach and 3 L water, 6 mL of bleach and 1.5 L water, and 3 mL of bleach and 0.75 L water. Then the correct options are A, B, and C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Maël mixes 15 milliliters of bleach with 3.75 liters of water to make a sanitizing solution for a daycare.
The ratio of bleach to water is given below.
Bleach / Water = 15 / 3.75 = 4
Bleach / Water = 12 / 3 = 4
Bleach / Water = 6 / 1.5 = 4
Bleach / Water = 3 / 0.75 = 4
Bleach / Water = 20 / 5.5 = 3.6363
The combination of volumes of bleach and water for Maël's sanitizing solution will be 12 mL of bleach and 3 L water, 6 mL of bleach and 1.5 L water, and 3 mL of bleach and 0.75 L water. Then the correct options are A, B, and C.
More about the Algebra link is given below.
https://brainly.com/question/953809
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The complete questions are given below.
I NEED HELP ASAP PLZ
first one
Step-by-step explanation:
Answer:
1/2 is the answer
Step-by-step explanation:
What is the center of the circle shown below?
А
ОА. В
ОВ. АВ
в
ос. А
OD. Y
Answer:
A
Step-by-step explanation:
the answer is A with the letter B next to it
The center of the circle is B.
What is Center of Circle?A circle's centre is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.
The location of a moving point on a plane such that its separation from a stationary point on the plane remains constant or fixed is described as a circle.
A circle is a two-dimensional form characterised by its centre and radius. If we know the centre and radius of a circle, we can draw it. There are an endless number of radii for a circle. A circle's centre is the point at which all of its radii meet. It is also known as the middle of the circle's diameter.
When we are given a circle and must locate its centre.When a circle's equation is supplied and we need to get the coordinates of its centre.From the figure the equidistant point from the surface of the circle is B.
Learn more about Centre of Circle here:
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What is the answer to this
Answer:
x = - 1
Step-by-step explanation:
Given
- 5x - 16 = 9x + x - 1, that is
- 5x - 16 = 10x - 1 ( subtract 10x from both sides )
- 15x - 16 = - 1 ( add 16 to both sides )
- 15x = 15 ( divide both sides by - 15 )
x = - 1
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
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:
3x+15/2 <30
Please help fast by the way the whole equation 3x+15 is over 2.
Answer:
x < 15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Colin invests £14100 into his bank account. He receives 9.0% per year simple interest. How much will Colin have after 5 years? Give your answer to the nearest penny where appropriate.
Answer:
6350
Step-by-step explanation:
Christopher has breakfast at a cafe and the cost of his meal is $36.00 Because of the service, he wants to leave a 10% , percent tip.
the answer is 39.60
Which value is equivalent to the expression 4^5
Answer:
20
Step-by-step explanation:
Can you guys help me find the answer, I’m in 6th grade?
For history class, Joe spent 2 hours writing a 4-page report on ancient Egypt. This weekend, he needs to write a 12-page report on the Roman Empire.
If he writes at the same rate, how long will it take Joe to write his report?
Answer:
2hours/4pages
2/4=1/2
1/2=x/12
cross multiply
12=2x
divide by 2 both sides
6=x
6 hours
Answer:
the answer is 6
Step-by-step explanation:
Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?
Answer:
95%is the answer
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
We can use the balancing method to do this.. first what is the total below 90?
The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?
The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%
Now we use the balancing method to get from 5-10.
Using the balancing method we get 95%
Literally the last question pls get it right
Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy?
how many men have a waist measurement of more than 85cm
Answer:
29
Step-by-step explanation: