Answer:
0.0793 > 0.01, which means that we have a result in line with the manufacturer's claim.
Step-by-step explanation:
Manufacturer’s claim that the average nicotine content does not exceed 3.5 mg
This means that the null hypothesis is given by:
[tex]H_{0}: \mu = 3.5[/tex]
And the alternate hypothesis is:
[tex]H_{a}: \mu > 3.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
3.5 is tested at the null hypothesis
This means that [tex]\mu = 3.5[/tex]
A random sample of 8 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams.
This means that [tex]n = 8, X = 4.2, \sigma = 1.4[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{4.2 - 3.5}{\frac{1.4}{\sqrt{8}}}[/tex]
[tex]z = 1.41[/tex]
Pvalue of the test:
We are testing if the mean is higher than 3.5.
The sample mean found is of 4.2, and we have to find the probability of finding a sample mean at least as large as this, which is 1 subtracted by the pvalue of z = 1.41.
z = 1.41 has a pvalue of 0.9207
1 - 0.9207 = 0.0793
0.0793 > 0.01, which means that we have a result in line with the manufacturer's claim.
A full bottle holds 1/4gallon of juice, If of3/5
the juice has beenpored how much
juice is left in the bottle?
Answer:
1/10 gallon
Step-by-step explanation:
2/5 left of 1/4 gallon
2/5 x 1/4 = 2/20 = 1/10 gallon
. A certain rectangular prism is
4 inches long, 2 inches wide, and
3 inches high. Sketch the figure
and find its volume.
What two numbers add up to 4 and multiply to -60
Answer:
10 + -6
Step-by-step explanation:
add them up to 4 and multiply to -60
Solve each equation.
4) x2+21=102 5) x2-6=-2
6) 80= x2-64x3+25=150 8) x2-14=155 9) x3+5=221
BRAINLIEST
What is 6 +0.2 + 0.09 written in standard form? A 0.629 B 6.029 C 6.209 D 6.29
Answer:
D
Step-by-step explanation:
The answer is D. 6 is the whole number with no decimal after it so it goes before the decimal. Then we add the numbers after the decimal. 0.2 is the same as 0.20 so we add 0.20 plus 0.09 which gets us 0.29. Lastly, we add this all together and get a total of 6.29. Hope this helps!
Answer:
d
Step-by-step explanation:
Write 186% as a mixed number in simplest form
Answer:
Step-by-step explanation:
Kwowvskdjshsns
200000*900000= what HELP PLEASE
I'll mark brainliest
Answer:
Step-by-step explanation:
1.8E11 is the correct answer
Answer:
200000*900000= 180000000000
Step-by-step explanation:
:))
if a number × is increased by 11,the result is 35.What is the number?
Answer:
24
Step-by-step explanation:
Equation: x + 11 = 35
1. Subtract 11 from both sides
x + 11 = 35
-11 -11
x = 24
Answer:
x is 24
Step-by-step explanation:
Let's write it down as an equation
If number x is increased by 11, we'll write is as x+11 and the result of that is 35, so x + 11 = 35
x + 11 = 35 implies that
x = 35 - 11
35 - 11 = 24
x = 24
To get ready for the new season Jayden bought new basketball sneakers. Jayden paid $96.12 after paying the 8% tax. How much were the sneakers before including the tax?
Show your work here:
You would take the amount of increase and divide it by the amount of total cost over the time period of certain months. Then you would multiply that number by the percentage of increase gained, and subtract 96.12 to get your answer.
Please help .. would be appreciated
Answer:
x = 30
Step-by-step explanation:
[tex] \triangle JLK\sim\triangle PQR[/tex] (given)
[tex] \therefore \frac{JL}{PQ}=\frac{LK}{QR} [/tex]
(corresponding sides of similar triangles)
[tex] \therefore \frac{20}{x}=\frac{22}{33} [/tex]
[tex] \therefore \frac{20}{x}=\frac{2}{3} [/tex]
[tex] \therefore x=\frac{20\times 3}{2} [/tex]
[tex] \therefore x=\frac{60}{2} [/tex]
[tex] \therefore x=30 [/tex]
Or using scale factor:
Scale factor = 33/22 = 3/2
x = 20*3/2
x = 10*3
x = 30
To the nearest dollar, how much did the business initially invest in 1991
A. $4,637
B. $4,631
C. $3,450
D. $3,455
Answer:
I think the answer is B
Step-by-step explanation:
Determine the minimum sample size required when you want to be99 % confident that the sample mean is within one unit of the population mean and o=14.8 . Assume the population is normally distributed.
A confidence level 99%
requires a sample size of
1. What is the solution of n^2-49=0?
a. -7
b.7
c.≠7
d. no solution
2. What is the solution of x^2+64=0?
a.-5
b.8
c.≠8
d.no solution
3. What is the length of a square with an area of 144x^2
a.12
b.12x
c.≠4in
d.no solution
4. What is the value of b in the triangle?
a.-4in
b.4in
c.≠4in
d.no solution
5. What is the value of z so that -9 and 9 are both solutions of x^2+z=103
Answer:
1. a2. b3. b4. b5. 22Explanation:
1.
n²-49=0
n=√49
n=7
2.
x²+64=0
x=√64
x=8
3.
if A=144x²
l = √A
l = √(144x²)
l = 12x
4.
b = (24×2)/3b
b = 48/3b
b = 16/b
b² = 16
b = √16
b = 4 in (-4 is correct in algebra but there's no negative lengths in geometric shapes)
5.
x²+z = 103
x² = 103-z
x = √(103-z)
for x = -9 and 9 (103-z) must equal 81
z = 103 - 81 = 22
x = √(103-22)
x = √81
x = -9 , 9
i get a 25% discount (means decrease) at macys store. if i find a dress i like for $80, how much will i have to pay for it?
Answer:
you will pay $60
Step-by-step explanation:
25% (1/4) of 80 is 20
subtract 20 from the total (80)
80 - 20 = 60
$60
Answer:
60
Step-by-step explanation:
So if you get 25% off, you're basically paying 75%.
So first, convert the percentage to a decimal:
75% = 75/100 = 0.75
Now just multiply the decimal by the total cost:
80$ (0.75) = $60
Check the pic please
I also want the steps pleaseee
Answer:
E) 5.4m
Step-by-step explanation:
ratio of triangle FGH : triangle JKL => 2.1 : 1.4
perimeter of triangle FGH = x
2.1 : 1.4 = x : 3.6
=> 1.4x = 2.1 × 3.6
=> x = 2.1 × 3.6 ÷ 1.4 = 5.4
Emma's dad and her Uncle Pete are trying to recreate their dad's famous dipping sauce for an upcoming family reunion. They remember thinking the sauce was too spicy when they were kids, but they can't remember exactly how much spicy chipotle sauce and tangy mayonnaise to mix now. Emma's dad uses 8 tablespoons of chipotle sauce and 12 tablespoons of mayonnaise. Uncle Pete uses 6 tablespoons of chipotle sauce and 10 tablespoons of mayonnaise. Who makes a spicier sauce?
NO LINKS PLEASE!!!!!!!
Step-by-step explanation:
the ratio is a comparison of two numbers that have the same unit so...
the answer is Emma's dad makes a spicy sauce
Answer:
Step-by-step explanation:
emmas dad becuase if it was the same pete would have to add 6.667 tsp to make it eqeal so emmas dad makes the spicer one
One day last summer, Tommy decided to take a drive into the countryside.
After a few hours' drive he arrived at a farm stand. Tommy was so excited by the sight of all those fresh fruits and veggies, that he tripped getting out of his MG and knocked over a huge basket of eggs. And of course they all broke!
He asked the farmer how many eggs were in the basket because he obviously wanted to compensate her for them. She said she didn't know exactly.
"But I do know,' she said, "that this morning I decided the eggs would be easier to sell if they weren't in a big basket but if they were in little paper bags.
"So when I took all my eggs and placed two in each bag I had one left over. I didn't like that so I took the eggs and I put three in each bag. And when I did that, I also had one left over.
"When I put four in each bag, I had one left over. When I put five in a bag or six in a bag, I had one left over. And when I put seven in a bag, I had none left over."
So here's the question: what's the smallest number of eggs that Tommy should have to pay for?
9514 1404 393
Answer:
301
Step-by-step explanation:
In order for the remainder to be 1 when the number is divided by 2, 3, 4, 5, or 6, it must be 1 more than a common multiple of those numbers. The least common multiple is ...
3·4·5 = 60
So, we want a number that is 1 more than a multiple of 60 and is divisible by 7. This gives us the Diophantine equation ...
7m -60n = 1 . . . . . where m and n are integers
Perhaps the easiest way to solve this is to try values of n between 0 and 6. We find that n=5 and m=43 will be the smallest positive value of m that satisfies this equation. This makes the number of eggs be 7×43 = 301.
Tommy should have to pay for 301 eggs.
What is the value (Shown in the picture) of f(81)?
I need help with slopes!
Answer:
the answer is 1/-4 rise over run my friend
I need help with this math assignment ASAP
Answer:
A. 125 because 35+90=125
Step-by-step explanation:
Triangle ABC is similar to triangle DEF. how long is EF?
A) 4
B) 10
C) 14
D) 12
Answer:
The answer is D) 12
Step-by-step explanation:
Multiple 4 by 3
graph the circle which is centered at (-1 -3) and which has the point (-7 -3) on it
Answer and Step-by-step explanation:
The answer is in the attached photo.
The center is at (-1, -3), and it will have a point on (-7, -3)
#teamtrees #PAW (Plant And Water)
please answer the attached question.
Amir can run 15 kilometers in one hour. How many kilometers can Amir run per minute? There are 60 minutes in 1 hour.
The answer is .25 kilometers a minute.
This is because [tex]speed = \frac{distance}{time}[/tex] so you need substitute then divide to find the answer
You can check this answer by doing 15÷60 which comes out to .25 km a minute.
Answer:0.25m per minute
Step-by-step explanation:
You divided the 15 by the 60 since 15 is the km and 60 minutes and you want to know how far can she run in minutes
Hope this helped :)
Tell me if it’s wrong :]
Identify the coordinates for point C Type your answer in the form (#.#), without spaces.
Answer:
(0,2) :)
Step-by-step explanation:
6C + 47M=893.50
25C + 22M=527.86
Answer:
C = 4.94 M = 18.38
Step-by-step explanation:
the easiest way is to graph both equaitons and see where they intersect,
see the image
or solve by substitution
6C + 47M=893.50 C = (893.50 - 47M)/6
25C + 22M=527.86
25((893.50 - 47M)/6) + 22M = 527.86
25/6 [(893.50) - 47M] + 22M = 527.86
25/6 [ - 47M] + 22M = 527.86 - 25/6 [(893.50)
22M - 25(47M)/6 = -3195.06
22M - 195.83M = -3195.06
-173.83M = -3195.06
M = 18.38
C = (893.50 - 47(18.38)/6
C = 4.94
1. Determine P(green) and P(orange for the spinner. Write the probabilities as fractions, decimals and percents.
Answer:
A) P(Green) = 1/8, 0.125, 0r 12.5%
P(Orange) = 1/2, 0.5, or 50%
B) P(Not Yellow) = 3/4, 0.75, or 75%
Step-by-step explanation:
A) P(Green) = 1/8, 0.125, 0r 12.5%
P(Orange) = 1/2, 0.5, or 50%
B) P(Not Yellow) = 3/4, 0.75, or 75%
This net could be folded to form a This figure will have v faces vertices. edges, and a
Answer: The figure is a rectangular pyramid. It has 5 faces, 4 edges, & 5 vertices.
Hope it helps.
The net can be folded into a rectangular pyramid with 4 edges, 5 faces, and 5 vertices.
What are rectangular pyramids?Pyramids are three-dimensional structures having triangle faces and have an encompassing polygon shape at its base. If the base of a pyramid is rectangular, then it is called a rectangular pyramid.
If we join the open ends of the triangles on top, we will get a rectangular pyramid.
To learn more about rectangular pyramids: https://brainly.com/question/21334693
#SPJ2
what is 4649+3383473
Answer:
3388122
Step-by-step explanation:
Answer:
3388122
Step-by-step explanation:
just add them together or use a calculator
A class sets up 40 chairs. There 8 chairs in each row. How many rows of chairs are there?
Answer:
5 chairs
Step-by-step explanation:
because 40 divided by 8 is 5
Answer:
there are 5 rows
Step-by-step explanation: