In 2006, a sample of 200 in-store shoppers showed that 42 paid by debit card. In 2009, a sample of the same size showed that 80 paid by debit card. (a) Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased. (b) Carry out the test at alpha
The percentage of debit shoppers has increased.
21% (2006) < 40% (2009)
In 2006, the percentage of debit shoppers is 21%.
In 2009, the percentage of debit shoppers is 40%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
In 2006:
A sample of 200 in-store shoppers showed that 42 paid by debit card.
The percentage of debit shoppers in 2006.
= 42/200 x 100
= 42/2
= 21%
In 2009:
A sample of the same size showed that 80 were paid by debit card.
The percentage of debit shoppers in 2009.
= 80/200 x 100
= 40%
Thus,
The percentage of debit shoppers has increased.
21% (2006) < 40% (2009)
In 2006, the percentage of debit shoppers is 21%.
In 2009, the percentage of debit shoppers is 40%.
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VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
While standing on a pier, Lynette saw a balloon floating 20 feet above her and a fish swimming 4 feet below the surface of the water.
Let 0 represent the water surface, and let the positive side of 0 represent position above the surface. Which number sentence correctly compares the distances of the balloon and the fish to the surface of the water?
A. |-4| < |20|
B. |-4| > |20|
C. |4| < |20|
D. |4| > |-20|
Answer:
I'd go with A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If a complete graph represents the road network in a country, it would be advantageous for that country in the even that an infectious disease hits one of the towns on the road network. Yes, it would be advantageous No, it would not be advantageous
Answer:
everyone
Step-by-step explanation:
can someone help me? please!!!
Answer:
Down below
Step-by-step explanation:
i'm gonna break it down into two parts.
Half-circle
[tex]A=\frac{1}{2}(\pi r^2) \\16/2=8=r\\A=\frac{1}{2}(3.14*8^2)\\A= \frac{1}{2}( 200.96)\\A=100.48[/tex]
Square
[tex]A=bh\\A=16*16\\A=256[/tex]
now to get it all we add them
[tex]A=100.48+256\\A=365.48[/tex]
I need the answer, help me please
Write the number 8.7 x 10^-6 in standard form.
quien es el padre de la administración?
Answer:
Frederick Winslow Taylor
Step-by-step explanation:
A classroom had 16 computers. If the ratio of computers to ipads was 4 : 5, how many ipads does the classroom have?
Answer:
20 ipads
Step-by-step explanation:
The ratio is 4 : 5
4:5
*4 *4
16c :20i
16 Computers and 20 Ipads.
The radius of a circle is 28 centimeters. Which measurement is closest to the circumference of the circle in centimeters?
Answer:
Solution in photo
which names apply to the number
48
integer
irrational
real
whole
rational
Answer:
All except irrational apply to the number 48
Which sign makes this number sentence true?
|866| __ |-866|
A. >
B. <
C. =
D. +
Answer:
>
Step-by-step explanation:
Answer:
c for me
Step-by-step explanation:
hope that helps you
If A is an event that will never happen, then P(A)=
Answer:
0
Step-by-step explanation:
If A is an event that will never happen, then P(A)=0
Triangle LMN, shown below, is a right triangle.
L
13
5
N
M
12
Which of the following is equivalent to sin L?
PLEASE ANSWER I NEED HELP!!
9514 1404 393
Answer:
D cos(N)
Step-by-step explanation:
In case you haven't remembered the fact that the sine of an angle is equal to the cosine of its complement (the other acute angle in a right triangle), you can always go back to the definitions.
Sin = Opposite/Hypotenuse
sin(L) = NM/NL
and
Cos = Adjacent/Hypotenuse
cos(N) = NM/NL = sin(L)
The equivalent of sin(L) is cos(N).
A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.55 MPa and a sample standard deviation of 0.76 MPa. (a) Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.) MPa
Answer:
95% of the lower confidence interval for the true average proportional limit stress of all such joints
7.7829
95% of the confidence interval for the true average proportional limit stress of all such joints
(7.7829, 9.3171)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 12
Mean of the sample = 8.55
The standard deviation of the sample (S) = 0.76
Step(ii):-
95% of the confidence interval is determined by
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} })[/tex]
Degrees of freedom = n-1 = 12-1 = 11
t₀.₀₂₅ = 3.4966
[tex](8.55 - 3.4966\frac{0.76}{\sqrt{12} } , 8.55 + 3.4966 \frac{0.76}{\sqrt{12} })[/tex]
(8.55 - 0.7671 , 8.55+0.7671)
(7.7829, 9.3171)
Final answer:-
95% of the confidence interval for the true average proportional limit stress of all such joints
(7.7829, 9.3171)
Rachel downloaded a movie at a constant speed.
After she downloaded 40% of the movie, the remaining download time was 40 seconds.
After she downloaded 40 mb, the remaining download time was 16 seconds.
Compute the total size of the movie (in mb) rounded to the nearest mb.
Answer:
The total weight of the file was 64 mb.
Step-by-step explanation:
Given that Rachel downloaded a movie at a constant speed, and after she downloaded 40% of the movie, the remaining download time was 40 seconds, while after she downloaded 40 mb, the remaining download time was 16 seconds, to determine the total size of the movie rounded to the nearest mb, the following calculation must be performed:
100 - 40 = 60
60% = 40 seconds
40 mb = 16 seconds left
16/40 = 4/10
60/40 = 1.5
1.5% for every 1 second of download.
16 x 1.5 = 24
40 + 24 = 64
Thus, the total weight of the file was 64 mb.
Evaluate the discriminant.
Exact answer (no rounding)
0= -4x – 24x – 38
A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result? a prime number a. 0.45 c. 0.71 b. 0.55 d. 0.73 Please select the best answer from the choices provided A B C D
Answer: B
Step-by-step explanation:
The prime numbers here are outcomes 2, 3, and 5.
Therefore, we must add the frequency numbers for these prime numbers:
36 + 44 + 30 = 110
Out of 200 dice rolls, 110 were prime numbers. This can be represented as:
110/200 = 11/20 (fraction form)
= 0.55 (decimal form)
Therefore, the answer is b. 0.55
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
B: 2,5
Step-by-step explanation:
Step One: We must assume this is rotating in a clockwise rotation since it is not -90 and there is no mention of it otherwise.
Step Two: To do this problem, you need to know the 90-degree rotation formula: (b, -a). This means that we make the x-coordinate negative and then switch spots with the x and y coordinates.
Step Three: By following this formula, we would make -2 negative, which makes it positive. Currently, the equation is (5, 2). Now, we need to finish the formula by swapping places: (2,5). That is the answer.
what is a grid with 4 quadrants and 2 axes?
Answer: The point at which the two axes intersect is called the origin. ... The intersecting x- and y-axes divide the coordinate plane into four sections. These four sections are called quadrants. Quadrants are named using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise.
Step-by-step explanation:
A grid with 4 quadrants and 2 axes is called as cartesian plane.
What is a cartesian plane?The cartesian plane is defined as a two-dimensional coordinate plane, which is formed by the intersection of the x-axis and y-axis.
What is a grid?A grid is a framework of spaced bars that are parallel to or cross each other.
Learn more about grid here
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LAST ONEEE YAYYYYYYY
Answer:
80
Step-by-step explanation:
180 - 100 = 80. 180º is required for a straight line, and 100º have already been shown from the other angles. x = 80
The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported
goods from the United States, where x is the number of years since 1990.
Which statements are correct?
A) g(x) appears to be a linear function
B) f(x) appears to be an exponential function
C)Exports increase more quickly around the year 2041
D) Exports eventually exceed imports from the united States
E) A quantity increasing exponentially eventually exceeds a quantity
increasing linearly
Answer:
C, D, E
Step-by-step explanation:
I did the USATESTPREP
Naming with the vertex only won't work when there are multiple angles with the same vertex. True or False?
LOOK AT THE PHOTO PLS
Answer:
I'm think its parallel ||
Find the value of x. I WILL GIVE YOU BRAINLIEST!!!!
Hi there!
[tex]\large\boxed{x = 40}[/tex]
We can solve for x knowing that the sum of interior angles in a triangle is 180°.
The square at the bottom indicates a right angle, or 90°. Therefore:
180 = 90 + x + (x + 10)
Combine like terms:
180 = 100 + 2x
Subtract 100 from both sides:
180 - 100 = 2x
80 = 2x
Divide both sides by 2:
x = 40.
Answer:
hi
Step-by-step explanation:
x+90⁰+x+10=180
x+x+10=180-90
2x+10=90
2x=90-10
2x=80
x=80/2
x=40
have a nice day
Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.
sin(2sec^-1 u/10)
Answer:
[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]
Step-by-step explanation:
We want to write the trignometric expression:
[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0[/tex]
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
[tex]\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)[/tex]
Take the secant of both sides:
[tex]\displaystyle \sec(\theta)=\frac{u}{10}[/tex]
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
[tex]\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}[/tex]
By substitutition:
[tex]\displaystyle= \sin(2\theta)[/tex]
Using an double-angle identity:
[tex]=2\sin(\theta)\cos(\theta)[/tex]
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
[tex]\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)[/tex]
Simplify. Therefore:
[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]
You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inches.
What is the total length of fabric that you need ?
Answer:
Step-by-step explanation:
14/19/24
In 2010, the population of a city was 25,000. The
population increased by 20% in each of the next three
years. If this rate of increase continues, what will be the
population of the city in 2015?
Answer:
43,200
Step-by-step explanation:
25,000x .20=5,000
30,000 x .20=6,000
36,000x.20=7,200
43,200x.20=8,640
51,840x.20=10,368
Use the elimination method to solve the system of equations.Choose the correct ordered pair. -x + y -2 , 2x -3y = 4
Answer:
To use the elimination method one coefficient of either x or y must be the same number with opposite signs, so the ordered pair is (-10, -8)
Step-by-step explanation:
2(-x+y=2) Make one of the coefficients equal, with opposite signs.
2x-3y=4 Combine equations.
-y=8 Solve, y=-8
Then find x, -x-8=2
-x=10, so x= -10
(-10, -8) is your answer.
A quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that less than 7, but more than 4 bulbs from the sample are defective
Answer:
0.04845
Step-by-step explanation:
Probability that less than 7 but more than 4 bulbs from the sample are defective :
P(4 < X < 7) = P(x = 5) + P(x = 6)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
From the question :
p = 0.2 ; 1 - p = 0.8 ; n = 11
P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876
P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969
P(4 < X < 7) = P(x = 5) + P(x = 6)
P(4 < X < 7) = 0.03876 + 0.00969
P(4 < X < 7) = 0.04845