Answer:
There is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled
Step-by-step explanation:
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 403[/tex]
Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled:
This means that at the alternate hypothesis, we are testing if the mean is different than 403, that is:
[tex]H_{a}: \mu \neq 403[/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.
Value of 403 tested at the null hypothesis:
This means that [tex]\mu = 403[/tex]
A 10 bag sample had a mean of 411 grams with a variance of 121.
This means that [tex]n = 10, X = 411, \sigma = \sqrt{121} = 11[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{411 - 403}{\frac{11}{\sqrt{10}}}[/tex]
[tex]z = 2.3[/tex]
Pvalue:
Testing if the mean is different of a value, and z positive, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.3
Looking at the z-table, z = 2.3 has a pvalue of 0.9893
1 - 0.9893 = 0.0107
2*0.0107 = 0.0214
0.0214 > 0.01, which means that there is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled
A man who is 2m tall stands on horizontal ground 30m from a tree . The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the man eyes to the top of the tree
Answer:
33.97 m
Step-by-step explanation:
Given that,
The height of a man = 2 m
He stands on a horizontal ground 30m from a tree.
The angle of elevation of the top of the tree from his eyes is 28°.
We need to find the distance between the man eyes to the top of the tree. Let the height of the tree be h
Using trigonometry to find such that,
[tex]\tan28=\dfrac{h}{30}\\\\h=\tan28\times 30\\\\h=15.95[/tex]
Now let us consider that the distance between the man eyes to the top of the tree is x. Using Pythagoras theorem,
[tex]x^2=30^2+15.95^2\\\\x=33.97\ m[/tex]
So, the distance between the man eyes to the top of the tree is 33.97 m.
help me someone please
Tom surveyed a random sample of the junior of his school to determine whether the Fall Festival should be held in October or November. Of the 80 students surveyed, 24.8% said they preferred November. Based on this information, about how many students in the entire 230-person class would be expected to prefer having the Fall Festival in November. SHOW YOUR WORK PLEASE!!!
a. 50
b. 60
c. 75
d. 80
9514 1404 393
Answer:
b. 60
Step-by-step explanation:
We assume the percentage for the sample holds for the whole class, so the estimated number preferring November is ...
0.248 × 230 = 57.04 ≈ 60
About 60 students prefer November.
if the circumference of a circle is 52 cm, what is the radius? round to the nearest tenth. PLESE HELP I DONT HAVE THAT MUCH TIME :(
Answer:
8.3
Step-by-step explanation:
Given,
Circumference of the circle = 52 cm
Therefore ,
By the problem,
[tex] = > 2\pi r = 52[/tex]
[tex] = > 2 \times 3.14 \times r = 52[/tex]
[tex] = > r = \frac{52}{3.14 \times 2} [/tex]
=> r = 8.2802547771
Rounded to nearest tenth,
=> r = 8.3 (Ans)
Write the quadratic equation in standard form.
- 4(x - x²) = 8
Determine if the quadratic function
Answer:
x² - x - 2 = 0
Step-by-step explanation:
Given:
- 4(x - x²) = 8
Find:
Standards form
Computation:
- 4(x - x²) = 8
(x - x²) = -2
x - x² = -2
x² - x - 2 = 0
An electrician charges a service fee of $60 to inspect a home. If he has to
work on something he charges $25 per hour. If he charges $172.50, how
many hours did he work?
Answer:
About 4.5 hours, you can say 5 hours
Step-by-step explanation
You can solve this by constructing a linear equation, which would turn out like this, 25x+60=172.50. How I got this is that it says his charge is 25 per hour, that is basically multiplication by an unknown number, so put that as a variable. Next it says he has a service fee of 60 dollars, this is what's called an initial fee. Now all we need to do is solve for x, which turns into 4.5. I don't know if they ask to round your answer or something, I hope this is right.
The table shows a function. Is the function linear or non linear
Answer:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
HELP ASAP !! i’ll give you the brainliest answer as long it’s correct plsss helpp
Answer:
its b, and why does everyone want brainllest
Step-by-step explanation:
Answer:
Answer option 2
Step-by-step explanation:
8/15 - 1/10 show work plz
Answer: 13/30
Step-by-step explanation:
8/15 -1/10 = (2×8)/(2×15) - (3×1)/(3×10) = 16/30 - 3/30 = (16-3)/30 = 13/30
Answer:
13/30
Step-by-step explanation:
8/15 - 1/10 (first find a common denominator which can be 30 for example)
Multiply numerator and demomiator
16/30 (x2) - 3/30 (x3) =13/30.
Number 1 and solve please
ok.........................................
Given that f(x) = -3x, g(x) = x + 3 and h(x) = 3f(x + 1) = g(x), then
what is the value of h(2)?
Answer:
hkhqews
Step-by-step explanation:
nc2ecnw
Someone pls explain what to do and give answer <3 thank you
Answer:
you just have to add everything together.
Step-by-step explanation:
H=6
E=x+5
F=12
D=9
G=6
Noah has $5.
1.
a.
Elena has 40% as much as Noah. How much does Elena have?
b.
Compare Elena's and Noah's money using fractions. Draw a diagram to
illustrate.
Answer:
a. $4
b. Noah has 5/5. Elena has 4/5.
Step-by-step explanation:
Noah has $5.
a.
Elena has 80% of Noah's money.
80% of $5 = 0.80 * $5 = $4
b.
Noah has $5. We can consider $5 to be the full amount.
A full amount is 100% or 1 or 5/5.
Elena has 80% of Noah's money, so she has 80/100 of Noah's money.
80/100 reduces to 4/5.
Noah has 5/5, and Elena has 4/5.
The money that Elena has is $2.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The given problem can be solved as follows,
(a) The amount of money Elena has is 40% of that of Noah.
It can be written as follows,
40% × 5
= 40/100 × 5
= 2
(b) Since the Elena has 40% of the Noah's money,
In the form of fraction it can be written as follows,
40% = 40/100
= 2/5
This can be represented in a diagram as follows,
In the diagram shown the circle has in total 5 sectors of which 2 yellow sectors represent Elena's money.
Hence, the amount of money Elena has is $2 which is shown in the diagram.
To know more about percentage click on,
brainly.com/question/29306119
#SPJ2
A small island country with less than 20,000 cars has decided to reissue the license plates for its cars and has decided on the following rules for assigning numbers and letters to the license plates. Each plate will have 7 character positions that each must be filled. The leftmost character position will hold a letter from the set {D, E, H, G, X}. The next three positions will hold integers from the set {0, 1, ..., 9} but none of the integers can be repeated. The rightmost three positions must be entirely from the set {I, V, X} or entirely from the set {P, Q, R}, with repetition allowed in either case. For example, a valid plate would be G 027 XXI and an invalid plate would be G 337 PQX (two rules violated). What is the maximum number of different license plates following the rules?
a. 270,000
b. 2,624,400
c. 3,645,000
d. 194,400
Answer:
The answer is "Choice d"
Step-by-step explanation:
Given data:
7 position [tex]5, 10 , 9, 8 , 2 \times 3^3[/tex]
calculating the left most filled by any of D, E, H, G, X
a possible way to fill =5
calculating the next 3 value that will be filled 0 to 10 without any repetition
possible way to fill [tex]=10 \times 9 \times 8[/tex]
calculting the last filled any if set [tex]\{I,V,X\} \ \ or \ \ \{P,Q,R\}[/tex] with repetation
possible way [tex]=2 \times 3^3[/tex]
Total different licence plates [tex]= 5 \times 10 \times 9 \times 8 \times 2 \times 3^3=194400[/tex]
If the radius is 25 mm, what is the Diameter
Answer:
7.96
Step-by-step explanation:
Ryan practiced 43.2 minutes on Monday on his violin. Tuesday, he practiced 37.48 minutes. If he practiced a total of 114.34 minutes for Monday, Tuesday, and Wednesday, how many minutes did Ryan practice on Wednesday?
Ryan practiced ________ minutes on Wednesday.
please help :)
Answer:
Ryan practiced 33.66 minutes on Wednesday
Step-by-step explanation:
You do 43.2+37.48 and it equals 80.68
Then you do 114.34-80.68 which equals 33.66
what is the legnth and width of a rectangle
Answer:
A rectangle is composed of two sides: length (L) and width (W). The length of a rectangle is the longest side, whereas the width is the shortest side.
Find b and c so that y =
2x^2 + bx+c has vertex (0,-2)
b=
C=
Answer:
Step-by-step explanation:
Simplify the expression m 4/5x m1/10
Answer:
√x4
Step-by-step explanation:
(x^2+x−3)⋅(x^2−4)
(y^2+6y+8)−(y^2+y−12)
The mayoral election results for the town of Jainsville are shown in the table below.
Voters were able to vote for one of three candidates, each represented by one of the three parties shown in the table. Each voter was given a six-digit identification number. What is the probability that if an identification number is randomly chosen, a 50-year-old or younger voter from the winning party will be chosen from the pool of voters? Round your answer to the nearest hundredth of a percent.
Answer:
ponlo en español para ayudarte
i dont know the answer to this so i am asking yall guys and girls.
which number will make the two fractions equivalent? 6/7=?/21
Answer:
18/21
Step-by-step explanation:
7x3 = 21
6x3=18
Answer:
18
Step-by-step explanation:
[tex]\frac{6}{7} =\frac{x}{21} \\\\\frac{6}{7} =\frac{18}{21}[/tex]
Multiply 3 to 6 since 7 x 3 is 21,
so 6 x 3 = 18
Inverse of (1,3)(2,4)(6,8)
Answer:
{(3,1),(2,4),(6,8)}
Step-by-step explanation:
Since for inverse of (x,y), it's(y,x)
i.e. the forst term and second term of order pair switch their places
solve the inequality 0<5x-2<8
Answer:
×= 2 this is what I got as a result to my equations
Algebra 2
Help me pls
Answer:
log (150)=2.176091259
Answer:
log104=2.107
log150=2.176
log1025=3.011
log10570=4.024
log7=0.845
Step-by-step explanation:
To solve these questions, you can just plug them into your calculator:
log104=2.107033339≈2.107
log150=2.176091259≈2.176
log1025=3.010723865≈3.011
log10570=4.024074987≈4.024
log7=0.84509804≈0.845
The ratio of male drivers to female drivers with parking passes at Gladstone High School is 5:3. If there are 64 students with parking passes, how many are female?
Answer:
24
Step-by-step explanation:
Basically, for every 5 boys there is 3 girls. A simple way to solve this, but longer, yet the one I personally use count up, go 5*2 3*2 and find which one adds up to 64. Once you get to 64, total including the product of both, you will have the amount of boys and girls. In this case
5*8 and 3*8 = 64
3*8 = 24
5*8 = 40
There are 24 girls
Branliest to correct answer explain how you solved it please
Answer:
0.03
Step-by-step explanation:
.25% for the tails times .5 for the odd number on the dice times 0.25 for the clubs because it is a 13/52 chance you will pull a clubs and put that all together and you get 0.03125 simplified and you get 0.03
Answer:
0.03
Step-by-step explanation:
The probability of landing on 1 tail is 1/2, since it is 1 out of 2 options, a tail or a head. If you want the probability of two tails, it would be 1/2 * 1/2 = 1/4.
Next we can take the probability of rolling an odd number on a fair die. A fair die has 3 even numbers: 2,4,6; and 3 odd numbers: 1,3,5. Since 3/6 or 1/2 of the numbers are odd, there is a 50% chance that it would roll an odd number.
Finally, drawing a club out of standard deck of cards is 1/4, since there are 4 choices: hearts, spades, clubs, or diamonds. You now get the idea, and you can figure out that the probability would be 1/4.
Our last step is to multiply all the answers we get, since to get all of them at once would lower your chances. 1/4 * 1/2 * 1/4 = 1/32 = 0.03125; rounded to 0.03.
Find the value of 5⁰ X 7⁰ X 3⁰
plz help asap
Answer:
5⁰ × 7⁰ × 3⁰ = 1
Step-by-step explanation:
5⁰ × 7⁰ × 3⁰ = ?
5⁰ = 1
7⁰ = 1
3⁰ = 1
1 × 1 × 1 = 1
Please answer this :/
Answer:
-60
Step-by-step explanation:
-45+s=-105
s=-105+45
s=-60
ill mark brainlist plss help
Answer:
64 ft²
Step-by-step explanation:
Given
Length of a square (L) = 8 ft
Area of the square is
= L²
= 8²
= 64 ft²
Hope it will help :)❤
I NEED HELP NOW THE ASSIGNMENT IS TIMED AND I DON"T HAVE MUCH TIME LEFT HELP PLEASEEEE I WILL GIVE EXTRA POINTS
Thuy is substituting t = 3 and t = 8 to determine if the two expressions are equivalent.
4 (6 t + 1) 24 t + 1
Which statement is true?
Both expressions are equivalent to 73 when t = 3.
Both expressions are equivalent to 76 when t = 3.
Both expressions are equivalent to 193 when t = 8.
The expressions are not equivalent.
the answer is B) both expressions are equivalent to 76 when t=3
Hope this helps :)
Answer:
D
Step-by-step explanation:
Hope i helped :)