Answer:
It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration
Step by Step Solution:
The given data are;
Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80
Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65
Using the functions of Microsoft Excel, we get;
The mean hourly rate for fast-food Chain A, [tex]\overline x_1[/tex] = 4.25
The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478
The mean hourly rate for fast-food Chain B, [tex]\overline x_2[/tex] = 4.25625
The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649
The significance level, α = 5%
The null hypothesis, H₀: [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ: [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
The pooled variance, [tex]S_p^2[/tex], is given as follows;
[tex]S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}[/tex]
Therefore, we have;
[tex]S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682[/tex]
The test statistic is given as follows;
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176[/tex]
The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14
At 5% significance level, the critical t = 2.145
Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration
What is the Equation of the line
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (4, - 3)
m = [tex]\frac{-3-1}{4+4}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line
What is the simplified value of the exponential expression 27 Superscript one-third?
3
9
Answer:
simplified value of the exponential expression 27 Superscript one-third
27= 3×3×3
=[tex]3^{3}[/tex]
answer is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The answer above is correct.
If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of x.
A. 10 Degrees
B. 25/2 Degrees
C. 40 Degrees
D. 160 Degrees
There are over 23,000,000 people in Australia. Which expression is equivalent to 23,000,000?
Answer:
Search up equilvlant calculator
Step-by-step explanation:
hoped thishelped
does y = -5x represent a proportional relationship?
Answer: No
Step-by-step explanation: A proportional relationship can be described by an equation of the form y = kx, where k is a number called the constant of proportionality.
I need help with this!
Can someone help me plsssss
Answer:
Sorry I don't know this.
Step-by-step explanation:
Answer:
wheel: radius=3/2 diameter=3 circumference=3pi
propeller: radius=24 diameter=48 circumference=48pi
orange: radius=10/pi diameter=20/pi circumference=20
Step-by-step explanation:
in certain mill the cost of c in thousands of dollars of producing x tons of steel is given by c(x)= 0.03x +3.4. the revenue R in thousands of dollars by selling x tons is given R(x)= 0.5x. Find x the number of tons that must be produced to break even
Answer:
well you see if u wanrt to
a
Using the same survey methodology: random sample of US residents between the ages of 18 to 75 who registered on the Crest website as a product, Crest wants to divide the research population into heterogeneous groups based on age and gender and then draw a random sample from each of the different groups. Based on this information, what type of sampling method would Crest use to conduct this survey
Answer:
Stratified sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.
giving brainliest for correct answer
Answer:
Option A 64/27 cm³
Step-by-step explanation:
Side of each cube=1/3 cm
Volume of a cube=side³=(1/3)³=1/27 cm³
Total no. of cubes in the prism=4*4*4=64 cubes
Volume of prism=Volume of 1 cube*Total no. of cubes
=(1/27)*64
=64/27 cm³
Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Please only answer if your sure
Answer:
second option.
Step-by-step explanation:
(NO LINKS!!!!!!!!!!!!!!!!!!) 25 POINTS
Answer:
Definitely not "feels"!
Step-by-step explanation:
I would go with " Always" aka "A"
Answer:
I think C, never irrational
Step-by-step explanation:
I feel you, link scams are horrible.
If this answer helped, please give brainliest! It would help a lot if you gave it :D
Answer please..........
Answer:
Rasheed has sent 66 massages , Hassan has sent 22 , Shima has sent 29
Expand and simplify
4(x + 2y + 3(x + y)
Answer is in the file below
tinyurl.com/wpazsebu
Answer:
The answer is 16x+20y for the above expression
What is the Area of this quadrilateral
C is the answer i just did this answer and get it correct
a parabola can be drawn given a focus (4,-11) and a directrix of y=7. write the equation of the parabola in any form
Answer: The vertex will have the same x coordinate as the focus
and be at the midpoint between focus and directrix. The
midpoint of (4, 4) and (4, -2) is: ((4+4)/2, (4-2)/2) = (4, 1)
El desplazamiento (en metros) de una partícula que se mueve
en línea recta esta dado por s = 12 – 8t + 18, donde t se
mide en segundos.
a) Encuentre la velocidad promedio en cada intervalo de
tiempo:
i) [3, 4] ii) [3.5, 4]
iii) [4, 5] iv) [4, 4.5]
b) Halle la velocidad instantánea cuando t = 4.
c) Dibuje la grafica de s como función de t y trace las rectas
secantes cuyas pendientes son las velocidades promedio
en el inciso a) y la recta tangente cuya pendiente es la
velocidad instantánea en el inciso b).
Answer:
c
Step-by-step explanation:
hize la misma pregunta que vos
The average velocities for the given time intervals are,
(i) -8 m/s,
(ii) -12 m/s,
(iii) 4 m/s, and
(iv) 4 m/s. The instantaneous velocity at t = 4 is -8 m/s. The attached graph of s as a function of t is a straight line with slope -8, showing the secant and tangent lines.
a) To find the average velocity in each time interval,
calculate the change in displacement (Δs) divided by the change in time (Δt) within each interval.
s = 12 - 8t + 18
i) [3, 4]:
Δs = s(4) - s(3) = (12 - 8(4) + 18) - (12 - 8(3) + 18) = -8
Δt = 4 - 3 = 1
Average velocity = Δs / Δt = -8 / 1 = -8 m/s
ii) [3.5, 4]:
Δs = s(4) - s(3.5) = (12 - 8(4) + 18) - (12 - 8(3.5) + 18) = -6
Δt = 4 - 3.5 = 0.5
Average velocity = Δs / Δt = -6 / 0.5 = -12 m/s
iii) [4, 5]:
Δs = s(5) - s(4) = (12 - 8(5) + 18) - (12 - 8(4) + 18) = 4
Δt = 5 - 4 = 1
Average velocity = Δs / Δt = 4 / 1 = 4 m/s
iv) [4, 4.5]:
Δs = s(4.5) - s(4) = (12 - 8(4.5) + 18) - (12 - 8(4) + 18) = 2
Δt = 4.5 - 4 = 0.5
Average velocity = Δs / Δt = 2 / 0.5 = 4 m/s
b) To find the instantaneous velocity when t = 4, we'll find the derivative of s with respect to t and then substitute t = 4.
s = 12 - 8t + 18
ds/dt = -8
Instantaneous velocity at t = 4 is equal to the derivative at t = 4:
Instantaneous velocity at t = 4: ds/dt (t=4) = -8 m/s
c) To sketch the graph of s as a function of t and draw the secant lines (average velocities) and the tangent line (instantaneous velocity):
Attached graph.
The graph of s as a function of t is a straight line with a slope of -8 and a y-intercept of 30. At t = 4, the instantaneous velocity is -8 m/s.
Secant lines:
Draw a straight line connecting the points (3, 10) and (4, 2) for the interval [3, 4].
Draw a straight line connecting the points (3.5, 4) and (4, 2) for the interval [3.5, 4].
Draw a straight line connecting the points (4, 2) and (5, 6) for the interval [4, 5].
Draw a straight line connecting the points (4, 2) and (4.5, 4) for the interval [4, 4.5].
Tangent line:
At t = 4, draw a straight line with a slope of -8 and passing through the point (4, 2).
The attached graph will show the secant lines with different slopes as the average velocities in each interval and the tangent line with a slope of -8 as the instantaneous velocity at t = 4.
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The above question is incomplete , the complete question is:
The displacement (in meters) of a moving particle
in a straight line is given by s = 12 – 8t + 18, where t is
measured in seconds.
a) Find the average velocity in each time interval:
i) [3, 4] ii) [3.5, 4]
iii) [4, 5] iv) [4, 4.5]
b) Find the instantaneous velocity when t = 4.
c) Plot s as a function of t and draw the secant lines whose slopes are the average velocity in part (a) and the tangent line whose slope is the
instantaneous velocity in part (b).
Concept Recall #2: (6.RP.A.1)
There are 14 girls and 15 boys in a sixth grade math class.
Write this relationship as a ratio.
Answer:
b
Step-by-step explanation:
Answer:
B is the correct answer
Step-by-step explanation:
Hope this helps
Will give brainliest if the answer is correct
Answer:
The answer to 5 is 3 and the answer to 6 is -2
Step-by-step explanation:
-8=2x-14
add 14 to each side
6=2x
divide by 2
3=x
----------------------------
11x+13=-9
subtract 13 from both sides
11x=-22
divide each side by 11
x=-2
Answer:
5.x=3
6.x=-2
Step-by-step explanation:
you're welcome
Hoshi walks 10 meters in 3 seconds. She walks the same at this rate for 50 seconds. How far does she walk?
An article in Engineering Horizons (Spring 1990, p. 26) reported that 117 of 484 new engineering graduates were planning to continue studying for an advanced degree . Consider this as a random sample of the 1990 graduating class.
(A) Find a 90% confidence interval on the proportion of such graduates planning to continue their education.
(B) Find a 95% confidence interval on the proportion of such graduates planning to continue their education.
(C) Compare your answers to parts (a) and (b) and explain why they are the same or different.
(D) Could you use either of these confidence intervals to determine whether the proportion is actually 0.25? Explain your answer. Hint: Use the normal approximation to the binomial.
Answer:
a) The 90% confidence interval on the proportion of such graduates planning to continue their education is (0.2097, 0.2737).
b) The 95% confidence interval on the proportion of such graduates planning to continue their education is (0.2036, 0.2798).
c) Due to higher value of z, a 95% confidence interval, as in part b, is wider than a 90% confidence interval, found in part a, and is the difference between these two intervals.
d) Yes, because 0.25 is inside both intervals.
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
117 of 484 new engineering graduates were planning to continue studying for an advanced degree.
This means that [tex]n = 484, \pi = \frac{117}{484} = 0.2417[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 - 1.645\sqrt{\frac{0.2417*0.7583}{484}} = 0.2097[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 + 1.645\sqrt{\frac{0.2417*0.7583}{484}} = 0.2737[/tex]
The 90% confidence interval on the proportion of such graduates planning to continue their education is (0.2097, 0.2737).
Question b:
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 - 1.96\sqrt{\frac{0.2417*0.7583}{484}} = 0.2036[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2417 + 1.96\sqrt{\frac{0.2417*0.7583}{484}} = 0.2798[/tex]
The 95% confidence interval on the proportion of such graduates planning to continue their education is (0.2036, 0.2798).
(C) Compare your answers to parts (a) and (b) and explain why they are the same or different.
The margin of error of a confidence interval of proportions is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
This means that, due to higher value of z, a 95% confidence interval, as in part b, is wider than a 90% confidence interval, found in part a, and is the difference between these two intervals.
(D) Could you use either of these confidence intervals to determine whether the proportion is actually 0.25? Explain your answer. Hint: Use the normal approximation to the binomial.
Yes, because 0.25 is inside both intervals.
POSSIBLE
Name the relationship: complementary, supplementary, vertical, or adjacent.
1)
2)
b
b
A) supplementary
B) complementary
C) corresponding
D) alternate interior
A) complementary
B) vertical
C) alternate exterior
D) alternate interior
3)
4)
I
Q13. Mavi Jeans has two retail outlets: Dallas and Phoenix. The Dallas store does 65 percent of the total sales in a year. Further analysis indicates that if a sale is made in Dallas, there is 0.5 probability this is a sale of belts, while if a sale is made at the Phoenix store this probability is 0.3. If Mavi Jeans knows that a belt has been sold, what is the probability this sale has occurred in Dallas
Answer:
0.7558 = 75.58% probability this sale has occurred in Dallas
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Belt sold
Event B: Sold in Dallas.
Probability of belt being sold:
50% of 65%(made in Dallas)
30% of 100 - 65 = 35%(made in Phoenix). So
[tex]P(A) = 0.5*0.65 + 0.3*0.35 = 0.43[/tex]
Sold in Dallas:
50% of 65%. So
[tex]P(A \cap B) = 0.5*0.65 = 0.325[/tex]
What is the probability this sale has occurred in Dallas?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.325}{0.43} = 0.7558[/tex]
0.7558 = 75.58% probability this sale has occurred in Dallas
Write two fractions that have a sum of 1 and have different denominators.
Answer:
1/5+8/10=1
Step-by-step explanation:
1/5 = 2/10
Help me out pls and thank you very much !!!!!!!
Answer:
8
Step-by-step explanation:
Since this is a rectangle, the opposite sides are congruent.
So the lengths of DG and EF are equal
3x + 5 = 29
3x = 29 - 5
3x = 24
x = 24/3
x = 8
ANSWER FAST!! All of the following angle pairs are ALWAYS congruent when a transversal passes through 2 parallel lines EXCEPT:
Adjacent angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Answer:
Adjacent angles
Step-by-step explanation:
What is the factored form of the polynomial?
x2 – 16x + 48
(x − 4)(x − 12)
(x − 6)(x − 8)
(x + 4)(x + 12)
(x + 6)(x + 8)
Answer:
(x − 4)(x − 12)
Step-by-step explanation:
The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).
Option A is the correct answer.
Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
Now we can rewrite the middle term -16x as -4x - 12x and group the terms as follows:
x² - 16x + 48 = x² - 4x - 12x + 48
= (x² - 4x) + (-12x + 48)
= x(x - 4) - 12(x - 4)
= (x - 4)(x - 12)
Therefore,
The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).
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A pound of chocolate costs 8 dollars. Yoko buys p pounds. Write an equation to represent the total cost c that Yoko pays.
Answer:
8×p≈c
Step-by-step explanation:
Because if each is 8 dollars you would multpy the number (Or Letter) by how many you want or have.
Question 3:
Hank is throwing a party. The party costs $20 per person. Answer the questions below to describe the relationship between the cost of the party and the number of friends attending.
The independent variable is .
The dependent variable is .
The equation that can be used to represent this relationship:
If 50 people attended, what would be Hank's cost?
(Only input numeric values, no commas, decimal points, or symbols.)
Answer:
$1000
Step-by-step explanation:
It would be $1000 in total of all the people attending the party. This is because, you need to multiply, 50 and 20! The answer will be 1000.
In the figure, m∠4=74° and m∠3=43° . Find m∠1 and m∠2 .
The measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
m∠4=74° and m∠3=43°
m∠4 + m∠2 = 180
74 + m∠2 = 180
m∠2 = 106 degree
m∠3 + m∠2 + m∠1 = 180 (sum of angles in triangle is 180 degree)
43 + 106 + m∠1 = 180
m∠1 = 31 degree
Thus, the measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.
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Point 2 is 106°
Point 1 is 31°
Bit by bit clarification:
every triangle's total angle is 180
first you 180 - 74 = 106 for angle 2
angle 2 you had to use the angle two total then you add it with angle three like this 106 + 43 = 149 then you do 180 - 149 = 31 will give you your angle one
hope it help mark brainliset please