Answer:
Explained below.
Step-by-step explanation:
(a)
In this case we need to determine if the proportion of customer complaints has decreased by more than 10% under the new packaging design.
The hypothesis can be defined as follows:
H₀: The proportion of customer complaints has not decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ ≤ 0.10.
Hₐ: The proportion of customer complaints has decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ > 0.10.
(b)
The information provided is:
n₁ = 220
n₂ = 220
X₁ = 86
X₂ = 41
Compute the sample proportions and total proportions as follows:
[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{86}{220}=0.3909\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{41}{220}=0.1864\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{86+41}{220+220}=0.2886[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.3909-0.1864}{\sqrt{0.2886(1-0.2886)\times[\frac{1}{220}+\frac{1}{220}]}}\\\\=\frac{0.2045}{\sqrt{0.0018665}}\\\\=4.733524\\\\\approx 4.73[/tex]
The test statistic value is 4.73.
Compute the p-value as follows:
[tex]p-value=P(Z>4.73)[/tex]
[tex]=1-P(Z<4.73)\\=1-(\approx 1)\\=0[/tex]
The p-value of the test is 0.
(c)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
p-value = 0 < α = 0.01.
The null hypothesis will be rejected at 1%significance level.
Thus, there is enough evidence at 1% significance level to support the engineers' claim.
(d)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
p-value = 0 < α = 0.10.
The null hypothesis will be rejected at 10%significance level.
Thus, there is enough evidence at 10% significance level to support the engineers' claim.
If 120 customers have bought tickets today, how many free tickets has the manager given away
If a right triangle has two legs of 7m and 24m what is the length of the longest side? *
Answer:
It would be 24m
Step-by-step explanation:
The longest side of a right triangle is the hypotenuse.
Use the Pythagorean theorem to solve for the hypotenuse:
X = sqrt(7^2 + 24^2)
X = sqrt( 49 + 576)
X = sqrt(625)
X = 25
The longest side is 25m
What is 5.5.5 written in exponential form?
A
25
B
53
с
15
D
55
Answer:
5^3
Step-by-step explanation:
5*5*5
5 multiplied 3 times is
5^3
Answer:
5 ^ 3
Step-by-step explanation:
3(a – 7) = -9 + 3a.
Answer:
0=12
No Solution
Step-by-step explanation:
Hope this helps (:
Look at the attachment
B is between A and C. AB = 5 and AC = 8. What is the length of BC
Answer:
BC = 3
Step-by-step explanation:
If you picture A, B, and C on a line, the first part of the line, AB, has a length of 5 and the total line, AC, has a length of 8 . Means that the second part of the line, BC, has a length of 3 because you would add the length of both the first and second part of the line in order to get the total length of the line.
AB + BC = AC
5 + BC = 8
BC = 3
H(x)=4x+3 what is the coordinate pair for h (1) ?
Answer:
(1,7)
Step-by-step explanation:
SImply replace x by (1) in the expression to find the value of h:
h(1) = 4 (1) + 3 = 4 + 3 = 7
so for x = 1, h is 7 , which is written as: (1, 7)
22+33 using GCF and the distributive property.
Can someone please help, ty!!
(Will mark brainliest)
7. Solve the equation using inverse operations. 3 + x = 7
a.
b. x
Il
c. x = 16
d. x = - 16
Solve the inequality.
6t+7≥25
may somone give me the answers with question 3 4 and 5. one BRAINLIEST IF SOMONE CAN ANSWER AND FIVE STAR
Answer:
Well, we need a definition or length/width of the figure of it first, let me see what I can find, I'll leave it in my replies.
Step-by-step explanation:
so basically the writing says to draw the lines indicated by arrows and include the markings on the last one because they indicate that all the sides are equal in length
;P hope this helps!
PLEASE HELP ME
THIS IS DUE IN 10 MINUTES
Answer:
3rd and 4th one.
Step-by-step explanation:
I need help, quick....
Answer:
A & B
Step-by-step explanation:
please help me asap
Answer:
11. 6
12. The last option, A=1/4, B=7/16, C=5/8, D=3/4
Step-by-step explanation:
11. look at the denominators, and what do you see? I see that 11 is 88 divided by 8. So, let's divide the numerator by 8 as well! 48/8=6
12. 1/4 is half of 1/2, so it would be between 0 and 1/2, or A
Same thing with 3/4 but this time in the middle of 1/2 and 1, or D
5/8 is a little over 4/8, or 1/2, so C
The last one left is 7/16, B
X+4 x+1
Write an equation to determine the value of x so that each pair of polygons has the same perimeter. Then solve
Answer:
5x i think
Step-by-step explanation:
hopenit is right
Write a unit rate for the situations.
30 milliliters every 4 hours
milliliters per hour
Answer:
[tex]{7.5 \: mm(h)}^{ - 1}[/tex]
Step-by-step explanation:
[tex] a \: unit \: rate \: for \: the \: situations \: is \: given \: by :
\\ rate = \frac{30 milliliters }{ 4 hours} = 7.5\frac{mm}{h} = {7.5 \: mm(h)}^{ - 1} [/tex]
The unit rate for the situation is mL per hour
How do you write a unit rate?An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate. Examples of popular unit rates are the speed in miles per hour, the amount of energy used in miles per gallon, and the speed of the internet in megabits per second. Miles per hour, blinks per second, calories per serving, steps per day, and heartbeats per minute are a few instances of unit rates.7.5 mL/ hr
The unit rate for the situation is mL per hour
Rate= 30mL/ 4Hrs
Rate= 7.5mL/ hr
To know more about unit rate, refer:
brainly.com/question/4895463
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Y= 4x +3, 4x + y =3 are they parallel or perpendicular
Answer: Neither
Step-by-step explanation:
When two lines are parallel, their slopes are the same.
When two lines are perpendicular, their slopes are opposite reciprocals. Opposite reciprocals equal -1 when multiplied together.
Equation #1: y = 4x + 3
The equation is in the form y = mx + b, so the slope is 4.
Equation #2: 4x + y = 3
We need to put this equation in slope-intercept form.
1) Subtract 4x from both sides
y = -4x + 3
The slope is -4.
-4 and 4 are neither equal nor opposite reciprocals, so they aren't parallel or perpendicular.
The slope of both lines is neither the same nor negative inverse of each other thus both lines will neither parallel nor perpendicular.
What is slope?A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.
As per the given lines,
y = 4x +3
The slope-intercept form is given as y = mx + c where m is the slope.
By comparing slope m = 4
4x + y =3 → y = -4x + 3
Slope m = -4
Since slopes are not the same thus they will be not parallel.
Perpendicular lines slope's multiplication gives -1.
Since, 4 x (-4) ≠ -1 thus both will be not perpendicular.
Hence "The slope of both lines is neither the same nor negative inverse of each other thus both lines will neither parallel nor perpendicular".
To learn more about slopes,
https://brainly.com/question/3605446
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Reciprocal of 12 1/3
Answer:
3 1/12
Step-by-step explanation:
Twelves reciprocal is 1/12 and 1/3s reciprocal is 3.
Answer:
3/37
is your answer
please mark as the brainliest (ㆁωㆁ)
Write an equation for the description. Ten times the sum of half a number x and 6 is 10.
Answer:
10 x ( 1/2x + 6 ) = 10
a group of 29 friends gets together to play a sport first people must be divided into teams each has to heve exactly 4 players and no one can be on more than one team how many teams can they make (it is possible that not everyone can be on a team)
Answer:
7 groups or teams
Step-by-step explanation:
7 x 4 is 28, as close as we can get to 29.
List the integers from least to greatest
{-6, -13, 0, 3, 5, - 7}
6.333 x 10^2 standard form
MY BAD!
Answer:
633.3
Step-by-step explanation:
Translate this sentence into an equation.
57 is the sum of 9 and Diego's height.
Use the variable d to represent Diego's height.
Answer:
d + 9 = 57
Step-by-step explanation:
last week drew worked 7.9 hours. this week he worked 8.6 hours. how many more hours did he work this week than last week?
Answer:
0.7 more hours
Step-by-step explanation:
8.6 - 7.9 = 0.7 more hours
If one inch represents 15 feet, what dimensions would you use to make a scale drawing of a building 550 feet by 600 feet?
9514 1404 393
Answer:
36 2/3 inches by 40 inches
Step-by-step explanation:
To find the drawing dimension, multiply the actual dimension by the scale factor:
(550 ft)×(1 in/(15 ft)) = (550/15) in = 36 2/3 in
(600 ft)×(1 in/(15 ft)) = (600/15) in = 40 in
The dimensions on the drawing would be 36 2/3 inches by 40 inches.
A package of 5 pairs of insulated socks costs $37.95. What is the unit price of the pairs of socks?
Answer:
$7.59.
Step-by-step explanation:
Divide $37.95 dollars (converting it into 37.95), by 5, and you get 7.59 ($7.59).
Answer:
$7.59
Step-by-step explanation:
you dived $37.95 by 5 and you get your answer of $7.59
Question Help
A local little league has a total of 70 players, of whom 80% are right-handed. How many
right-handed players are there
Answer:
The number of right-handed people = 56
Step-by-step explanation:
80% of 70 players = number of right-handed people
So, 80/100 x 70 = 56 players
Therefore, number of right-handed players = 56
Please answerrrrrrr.
Answer: 1. True 2. False
Step-by-step explanation: In question 1 they both equal 0.25 (5/20 and 7/28) but in question 2 they equal different values. 11/22=0.5 and 13/25 = 0.52.
A line with a slope of -10 passes through the point (1,-10) what is it equation in slope intercept form?
Answer:
y=-10x
Step-by-step explanation:
m=-10
For (1,-10) a=1 AND b=-10
(use the formula y-b=m(x-a) to find the equation of the line)
y-b=m(x-a)
(sub the values of m (the slope) and a&b (from the point)
y - (-10) = (-10) × ( x - 1 )
(simplify)
y+10=-10(x-1)
(expand the bracket)
y+10=-10x+10
(subtract 10 for both sides)
y=-10x+10-10
(simplify)
y=-10x
PLLLLLLLLZZZZZZZ SOMEONE HELP ME
For a field trip 23 students rode in cars and the rest filled five buses. How many students were in each bus if 288 students were on the trip?
Answer: First, you start with the equation:
9
x
+
4
=
472
Since four students rode in cars, you want to eliminate this part of the problem to find how many students actually rode in the buses
So you would subtract
4
from both sides and get:
9
x
=
468
Finally, you would divide both sides by
9
and get
52
students on each bus
Step-by-step explanation: First, you start with the equation:
9
x
+
4
=
472
Since four students rode in cars, you want to eliminate this part of the problem to find how many students actually rode in the buses
So you would subtract
4
from both sides and get:
9
x
=
468
Finally, you would divide both sides by
9
and get
52
students on each bus