Answer:
The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance
The alternative hypothesis is accepted at a 0.05 level of significance
The manager of Publix in Clemson believes 64% is too high for his own store
Step-by-step explanation:
Step:-1
Given that the consumer Reports showed that 64% of supermarket shoppers.
Given that the population proportion
P = 0.64
Given that random sample size 'n' = 100
Given that 52 believe the supermarket brands were as good as the national brands.
sample proportion
[tex]p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52[/tex]
Step:-2
Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store
μ < 0.64
Alternative Hypothesis:H₁:μ > 0.64
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }[/tex]
Z = -2.5
Level of significance = 0.05
Z₀.₀₅ = 2.326
The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance
Final answer:-
The null hypothesis is rejected at a 0.05 level of significance
The alternative hypothesis is accepted at a 0.05 level of significance
Bus travels 450 km on 40 L at that rate how far will it travel on 120 L of gas??
Answer:
1350 km yw!
Step-by-step explanation:
please look at the screenshot below 45 points and first one will be brainliest
Answer:
A
Step-by-step explanation:
To find the perimeter you must add all four sides together. Since it's a rectangle, the top and bottom are the same size and the left and right sides are the same size. You add all four together to get the perimeter.
You may need to use the appropriate appendix table or technology to answer this question. Health insurers are beginning to offer telemedicine services online that replace the common office visit. A company provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments. The company claims that users of its online service saved a significant amount of money on a typical visit. The data shown below ($), for a sample of 20 online doctor visits, are consistent with the savings per visit reported by the company. 86 28 34 99 77 49 50 43 34 70 42 90 87 68 67 72 87 94 47 76 Assuming the population is roughly symmetric, construct a 95% confidence interval for the mean savings in dollars for a televisit to the doctor as opposed to an office visit. (Round your answers to the nearest cent.) $ to $ Need Help
Answer:
(62.66 ; 67.34)
Step-by-step explanation:
Given the data:
86 28 34 99 77 49 50 43 34 70 42 90 87 68 67 72 87 94 47 76
Using a calculator :
Sample mean, xbar = 65
Sample. Standard deviation s = 22.35
Confidence interval :
Xbar ± standard Error
Standard Error = Tcritical * s/√n
TCritical at 95%, df = 19 = 2.093
Standard Error = 2.093 * (22.35/√20) = 2.339
Lower boundary = 65 - 2.339 = 62.661
Upper boundary = 65 + 2.339 = 67.339
(62.661 ; 67.339)
(62.66 ; 67.34)
A manufacturer wants to inspect the absorption capacity of a new sponge. Based on past data, the average sponge could absorb 3.5 ounces. After the redesign, the absorption amounts of a sample of 10 sponges were (in ounces): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9. At a level of significance of 1%, would you claim that the new design is better than the old one?
Requried:
a. No because we don't reject the Null Hypothesis at Alpha = 0.01
b. Yes because we reject the Null hypothesis at Type 1 error = 1%
c. Yes because the cut-off is more than the sample mean
d. No because the cut-off is less than the sample mean
Answer:
c. Yes because the cut-off is more than the sample mean
Step-by-step explanation:
The null and alternate hypotheses are
H0 : u= 3.5 ounces vs Ha: u > 3.5 ounces
The mean and standard deviation of the sample are calculated to be 3.76 and 0.24
The test statistics is
t= x`- u/s√n
= 3.76-3.5/0.24/√10
= 0.26/0.07589
=3.426
The critical region for z test is z > ± 2.33
The critical region for t test is t > ± 2.82 for 9 d.f
For both the tests( z and t) the test statistic =3.426 lies in the critical region.
Hence we reject H0 and accept the hypothesis that the new design is better than the old one at a level of significance of 1%.
cut-off = mean + 3 times the standard deviation
= 3.76 + 3* 0.24
cut-off =4.48
Yes, the cut off is more than the sample mean.
So choice c is the best option.
Give me a topic for my mathematical investigation.
There are a few you can choose from:
Statistics and probability
Geometry
Proofs
Triangles
Circles
Numerical sequences
Number Theory
etc.
. A store increases profits by marking up the price of soda by 15%. Which expression represents the new price of soda if the original cost is s dollars? A) 0.15 B В 1.15$ © 0.855 Ds + 15
Answer: A
Step-by-step explanation:
Classify the type of measurement as nominal ordinal ratio or interval
1 ranks in a dance contest
2 heights of basketball players
3 monthly electric bills
4 number of days in a calendar
5 aptitude test score
The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Ranks in a dancing competition: This is an illustration of ordinal measurement since the values can be ranked or ordered, but the differences between the values are meaningless.
Basketball player heights: Although there isn't a genuine zero point, the values have significant variances between them, making this an example of an interval measurement.
Monthly electric bills are an example of a ratio measurement because there are real zero points and significant variances between the values.
Calendar day count: Because the values are categorical and cannot be ranked or sorted, this is an example of a nominal measurement.
Score on an aptitude test: This is an instance of an interval measurement because there are actual disparities between the results, but no actual zero point.
Learn more about Mean here:
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Helphelp help help help
Answer:
very difficult for me so ask someone
The graph below shows the balance remaining on Jason's loan after he makes each payment. Jason's Loan Balance y 2,100 1,800 1,500 1,200 Balance Remaining (dollars) 900 600 300 0 1 2 3 4 5 6 7 8 9 10 11 12 Number of Payments Made Based on this graph, what will be the balance remaining on Jason's loan after he makes the 12th payment? A $750 B $150 C $450 D $300
Answer:
D $300
Step-by-step explanation:
I did a test with that question and got it correct
Answer:
D $300 Step-by-step explanation:
does the relation show represent a function?
Answer: yes it is hope this helped
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Step-by-step explanation:
Answer:
Hi! The answer to your question is Yes, it does represent a function
Step-by-step explanation:
None of the x's repeat so yes, it represents a function.
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Hope this helps!!
- Brooklynn Deka
HELP PLEASE like I really need help
what is this???????????????????????
Answer:
Without knowing anything else about the problem, the shaded part looks like the cross-sectional area.
HELP LOL!!
What is the independent variable?
Amplitude
Frequency
Tension
Density
Speed
6. What is the dependent variable?
Amplitude
Frequency
Tension
Density
Speed
7. What are the constants? (Choose 3)
Amplitude
Frequency
Tension
Density
Speed
which of the following is equivalent (x+1)^2
Answer:
B. x^2 + 1
Step-by-step explanation:
Because squaring the value of 1 does not change its value, the equation would function the same way the original equation if x was the only value squared.
harrison bought a 10 foot ramp to load his dirt bike into the back of his truck. the ramp hooks to the 3 foot high tailgate. how far away from the tailgate doe the ramp sit in the ground?
Answer:
9.54 feet
Step-by-step explanation:
Using Pythagoras rule :
Length of ramp = 10 feets = hypotenus
Hypotenus² = opposite² - adjacent²
d² = 10² - 3²
d² = 100 - 9
d² = 91
d = √91
d = 9.5393920
d = 9.54 feets
Express the product of (2x– 1) and ( 1/2x -2/3)
as a trinomial in simplest form.
Answer:
Solution given:
the product of (2x– 1) and ( 1/2x -2/3)
:(2x-1)(½x-⅔)2x(½x-⅔)-1×(½x-⅔)x²-4/3 x-½x+⅔x²-½x-4/3+⅔x²-½x-[4-2]/3x²-½x-⅔ is a required answer.The product of the given binomials is x²-11x/6+2/3.
The given binomials are (2x– 1) and (x/2 -2/3).
We need to find the product of the given binomials.
How to multiply two binomials?The binomials are multiplied as:
Step 1: Multiply the first term of each binomial.
Step 2: Now multiply the outer term of each binomial.
Step 3: Once this is done, now multiply the inner terms of the binomials.
Step 4: Now the last terms are multiplied.
Now, (2x– 1) × (x/2 -2/3)
=2x × x/2 -1 × x/2 - 2x × 2/3 - 1 (-2/3)
=x²-x/2-4x/3+2/3
=x²+(-3x-8x)/6+2/3
=x²-11x/6+2/3
Therefore, the product of the given binomials is x²-11x/6+2/3.
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Find the number of paths from A to B. (Each step can only go up or to the right.)
Answer:
Total ways possible = 104 ways
Step-by-step explanation:
Total ways possible = 104 ways
The figure is attached here for understanding.
In the figure, the blank points are those points where we can not reach.
can someone help me in this question
Lois is painting a mural on the side of a building. The side of the building is 14 feet by 9
feet. Lois got a deal on paint cans that each cover 5 square feet. How many of these
paint cans will she need to cover the side of the building?
Answer:
I believe it is 29 cans of paint right?
Hope this helps
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0)A(2,0)A, left parenthesis, 2, comma, 0, right parenthesis, B(6, 0)B(6,0)B, left parenthesis, 6, comma, 0, right parenthesis, C(6, 7)C(6,7)C, left parenthesis, 6, comma, 7, right parenthesis, and D(2, 7)D(2,7)D, left parenthesis, 2, comma, 7, right parenthesis. What is the area of rectangle ABCDABCDA, B, C, D? square units
9514 1404 393
Answer:
28 square units
Step-by-step explanation:
The rectangle is 7-0 = 7 units high and 6-2 = 4 units wide. Its area is the product of these dimensions:
A = LW
A = (7)(4) = 28 . . . square units
Answer:
The correct answer is 28
Step-by-step explanation:
Khan =)
President Kennedy was the fastest random speaker in the world with upwards of 350 words per minute. What is the median of the numbers 3,5,0?
Answer: 3
Step-by-step explanation:
Numbers in least to greatest
0,3,5 middle is 3
if you answer this question correctly i'll give you brainliest
the table rewritten
2-10
4-20
6-30
10-50
Answer:
2-----10
4-----20
6-----30
10-----50
Step-by-step explanation:
10 * 5 = 50
I NEED HELP WITH THIS! ITS A LONG MATH QUESTION TY :D
Answer:
$5Step-by-step explanation:
Full surface area of the rectangular prism is:
S = 2(ab + bc + ac)S = 2(6*5 + 6*4 + 5*4) = 148 ft²Cost of the wallpaper:
$740 / 148 ft² = $5 per ft²The most common railroad boxcars are 52 feet long, 9.5 feet wide, and 11 feet
tall. What is the volume, in cubic feet, of common railroad boxcars?
Answer:
Box volume ≈ 5,434 ft³
Step-by-step explanation:
Given: Railroad boxcars are 52 feet long, 9.5 feet wide, and 11 feet
To find: The volume, in cubic feet, of common railroad boxcars
Solution: To find the volume of a box, simply multiply the length, width, and height.
52 × 9.5 × 11 = 5434
Therefore, the volume, in cubic feet, of common railroad boxcars is 5,434 ft³
For dimensions that are relatively small whole numbers, calculating volume by hand is easy.
Find the area of the circle when the circumference is 26 in
Answer:
"None of the answers are correct."
Step-by-step explanation:
The formula for Area given the circumference is A = [tex]\frac{C^{2} }{4\pi }[/tex]
[tex]\frac{26^{2} }{4\pi } = 53.79437[/tex]
So none of the above are correct
what percent represents the part of the model shaded green?
A) 60%
B) 62.5%
C) 66.7%
D) 75%
Answer:
60%
Step-by-step explanation:
Because 3 ÷ 5 = 60% Hope that helps!
Bethany is making a rectangular fenced- in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long.
what's the total length of fencing that Bethany will need in feet?
Answer:
The total length of fencing that Bethany will need is 21.5 feet.
Step-by-step explanation:
Since Bethany is making a rectangular fenced- in area for her rabbit in her yard, and the area measures 4 3/4 feet wide by 2 yards long, to determine what's the total length of fencing that Bethany will need in feet the following calculation must be performed:
1 yard = 3 feet
2 yards = 6 feet
3/4 = 0.75
4.75 x 2 + 6 x 2 = X
9.5 + 12 = X
21.5 = X
Therefore, the total length of fencing that Bethany will need is 21.5 feet.
Geometry > 0.6 Area of sectors XZQ
a а
The radius of a circle is 4 miles. What is the area of a sector bounded by a 135º arc?
= 4 mi
00
HA
Sma
out
1350
Give the exact answer in simplest form.
square miles
Answer:
4π mi²
Step-by-step explanation:
s = (∅/360) * πr²
s = (135/360) * π(4²)
s = (135/360)(16) * π
s = 4π mi²
Given: AB || DE
Which can be used to prove ABC - EDC?
a.
AA Similarity Postulate
C.
ASA Similarity Theorem
b.
SSS Similarity Theorem
d.
SAS Similarity Theorem
Answer:
a. AA Similarity Postulate
Step-by-step explanation:
the AA Similarity Postulate says that if two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.
AB and ED are parallel, so
∠BCA and ∠ECD are congruent because they're vertical angles∠BAC and ∠CED are congruent because they're alternate interior anglesSolve the problem.
If sin = 1/4, find csc .
A) 3/4
B) -1/4
C) 4
D) undefined
Answer:
C) 4
Step-by-step explanation:
By definition, cosecant (csc) is the reciprocal of sine (sin). The reciprocal of 1/4 is equal to C) 4.