Answer:
1. b. 14.6 ± 7.38
2. b. 3.43
3. b. 0.01 < P-value < 0.05
4. b. There is sufficient evidence to reject the null hypothesis.
Step-by-step explanation:
The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.
A factory produces bags of rubber bands. A bag of rubber bands has five different sizes: extra large (XL), large (L), medium (M), small (S), and extra small (XS). A quality control specialist collects a random sample of 450 rubber bands from the bagging machine and calculates a chi-square goodness-of-fit test to see if the frequencies for each size in the sample match the hypothesized distribution. The quality control specialist will test his sample against the following null hypothesis.H0:pXL=0.10,pL=0.20,pM=0.40,pS=0.20,pXS=0.10 How many medium rubber bands are expected in the random sample of 450 rubber bands?
Answer:
The expected frequency is 90
Step-by-step explanation:
If the given probabilities are taken as observed
pXL=0.10, 450*0.1= 45
pL=0.20, 450*0.2= 90
pM=0.40, 450*0.4= 180
pS=0.20, 450*0.2= 90
pXS=0.10 450*0.1= 45
We can assign the expected frequencies to be 450/5= 90 each
The chi square goodness fit test can be calculated as
Observed Expected (o-e) (o-e)² (o-e)² /e
45 90 -45 2025 22.5
90 90 0 0 0
180 90 90 8100 90
90 90 0 0 0
45 90 -45 2025 22.5
∑ 135
χ²= 135
The χ² value at 0.05 is 9.49
The result is significant.
Answer:
180
Just took the test
Based on the survey results, there is a probability that a randomly selected person will feel guilty about wasting food and a probability that a randomly selected person will feel guilty about leaving lights on when not in a room. Moreover, there is a probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
This question is incomplete, the complete question is;
he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).
Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
Answer:
a)
the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Step-by-step explanation:
Given the data in the question;
lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;
probability; feel guilty about wasting food P(A) = 0.39
probability; feel guilty about leaving light on P(B) = 0.27
probability; feel guilty for both P(A ∩ B ) = 0.12
a)
probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both
p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )
we substitute
p( A ∪ B ) = 0.39 + 0.27 - 0.12
p( A ∪ B ) = 0.54
Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
probability that a randomly selected person will not feel guilty for either of these reasons;
p( A ∪ B )' = 1 - p( A ∪ B )
p( A ∪ B )' = 1 - 0.54
p( A ∪ B )' = 0.46
Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
PLS HELP!!
Given the diagram below, find the value of x.
The value of x is
Answer:
44°
Step-by-step explanation:
180-30-14=136
180-136
44
I can't figure this problem out- Please help me
Answer:
68 in^2
Step-by-step explanation:
the shape is a trapezoid
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² = 6² + height²
100 = 36 + height²
height = 64
the square root of 64 is 8
the height is 8
1/2 x (8 + 9) x 8 = 68in^2
Use a calculator to find the natural logarithm, base e.
In 744.1
Answer:
6.612175434403215
Step-by-step explanation:
This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1
This had me confused i need big help!!!!
Answer:
[tex]3\frac{7}{8}[/tex]
Step-by-step explanation:
Equation: 4 1/7 + 2 1/8 + x= 10 1/7
Convert into improper fractions:
29/7 + 17/8= 71/7
Add fractions
351/56+x= 71/7
Subtract on both sides
X= 31/8 or 3 7/8
Logan purchased 20 stamps at the post office for $8.40. What is the cost of one stamp?
Answer:
.42
Step-by-step explanation:
Step-by-step explanation:
Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.
What is the description of the translation from f(x)=9x+3 to g(x)=4x+3?
Answers:
A. Moved Up
B: Counterclockwise Rotation
C: Clockwise Rotation
D: Moved Down
Answer:
Clockwise rotation
Step-by-step explanation:
Took the test, the other answer here was incorrect
I need help please (100 points)
Answer:
10 times x is 10 x and 10 times -2 is -20 so now we have 10x-20=-20
now we move the 20 over so that 10x=0 so now we can move the ten over so now we just have x=0
Help me please. And don't put answers like dolfjaldjf or something like that. Like no wrong answers for people who just want points. Because I really need this.
⬇ Hey bud! I really respect you because you need the answer. Anyways, the answer will be down below! :) ⬇
Answer:
0.20(15+x)=6
Step-by-step explanation:
(0.20)(15) + 0.20x = 6
3 + 0.20x = 6
0.20x = 3
x = 3/0.20
x = 15
Rob's Iunch was $15.
Check it:
15+15=30
30x0.20=6
Please mark be brainliest once a second person answers! As I'm trying to move up to Genius and recover my points and brainliest's! It will always be appreciated. If you need any help comment down below so I can help you! Have a great day! :D
21/35 es equivalente a
How much are your fixed expenses for the month?
Monthly Expenses
Mortgage
$897.00/month
Clothing
$96.00/month
Food-restaurants
$56.00/week
Telephone
$33.95/month
A. $1,082.95
B. $1,250.95
OC. $1,154.95
Answer:
The correct answer is B. $1,250.95.
Step-by-step explanation:
Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:
897 + 96 + (56 x 4) + 33.95 = X
897 + 96 + 224 + 33.95 = X
1,250.95 = X
So, my fixed expenses for the month are $ 1,250.95.
Answer:
$930.95
Step-by-step explanation:
just took the test
Is 8/10 greater than 63/100
Answer:
8/10 is greater than 63/100, it is grater because when u change them into a percentage 8/10 is higher
Step-by-step explanation:
Answer:
true :D
8/10 = 80/100 which is greater than 63/100
(c) Write down the reciprocal of 20
Answer:
1/20
Step-by-step explanation:
The reciprocal just means that you flip the numerator & denominator. Any whole number always has a denominator of 1, so you just flip it to 1/20. Hope this helps!
In order to find the reciprocal of a number, we should flop it over.
Kindly consider the formula for additional details:-
[tex]\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}[/tex]
According to the formula, the reciprocal of 20 is:-
[tex]\sf{The~reciprocal~of~20~is~\frac{1}{20}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
What is the measure of AZB
Answer:
129 degrees
Step-by-step explanation:
When we add a right angle (90 degrees) to an acute 39 degree angle we get 129 degrees.
azb = 129 degrees
Teresa is a video game designer andher annual income is $134,723. Teresa must pay income tax of 6%. What is the amount of income tax in dollars and cents that Teresa pays
PLEASE HELP EASY 30 POINTS
Answer:
I want her mollah
Step-by-step explanation:
can you get this answer
Answer:
1/128
Step-by-step explanation:
use formula: an = a1 × r ^ n-1
a1 = 4
r = 0.5
n = 10
a10 = 1/128
help with math thanks so much!!!!
Answer:
0.2
Step-by-step explanation:
14/10÷x=7
14/10=7x
1.4±7=x
x=0.2
Summary information on the heights of 64 bass and 42 tenor singers, all men, in the New York Choral Society is given. The vocal range of bass voice part is lower in pitch than the alto voice part. Use 1% level of significance to determine whether the population mean height of bass singers is greater than the population mean height of tenor singers.
Answer:
Hello your question has some missing information below is the missing information
Sample mean and Sample standard deviation
Bass 70.99 and 2.52
Tenor 69.41 and 2.79
answer : We will reject H0
Step-by-step explanation:
Determine whether the population mean height of bass singers > population mean height of tenor singers
n1 = 64 , n2 = 42
x1 ( mean ) = 70.99
x2( mean ) = 69.41
S1 ( std 1 ) = 2.52
S2 ( std 2 ) = 2.79
We will perform a two tailed test hence we will state the null and alternate hypothesis
H0 : μ1 > μ2
H1 : μ1 < μ2
significance level = 0.01
next calculate the test statistic
t = 2.96
attached below is the remaining part of the detailed solution
Open Picture Need Help With 11 & 12
Answer:
Step-by-step explanation:
7). (x + 3)(x + 7)
= x(x + 7) + 3(x + 7)
= x² + 7x + 3x + 21
= x² + 10x + 21
8). (4x + 2)(x - 2)
= 4x(x - 2) + 2(x - 2)
= 4x² - 8x + 2x - 4
= 4x² - 6x - 4
9). (3x + 2)(2x + 5)
= 3x(2x + 5) + 2(2x + 5)
= 6x² + 15x + 4x + 10
= 6x² + 19x + 10
10). (x² - 6)(x - 4)
= x²(x - 4) - 6(x - 4)
= x³ - 4x² - 6x + 24
11). (x² + 9)(x - 3)
= x²(x - 3) + 9(x - 3)
= x³ - 3x² + 9x - 27
12). (4x²- 4)(2x + 1)
= 4x²(2x + 1) - 4(2x + 1)
= 8x³ + 4x² - 8x - 4
Johnny was able to drive an average of 29 miles per hour faster on his car after the traffic cleared. He drove 30 miles in traffic before it cleared and the drove another 176 miles. If the total trip took 6 hours, then what was his average speed in traffic?
Answer:
15 mph
Step-by-step explanation:
Before traffic cleared:
distance = 30 miles
average speed = s
time = t
d = st
30 = st
After traffic cleared:
distance = 176 miles
average speed = s + 29
time = 6 - t
d = st
176 = (s + 29)(6 - t)
30 = st
s = 30/t
176 = (30/t + 29)(6 - t)
176t = (30 + 29t)(6 - t)
176t = 180 - 30t + 174t - 29t^2
29t^2 + 32t - 180 = 0
(29t + 90)(t - 2) = 0
t = -90/29 or t = 2
Time must be a positive number, so we discard the solution t = -90/29.
t = 2
30 = st
30 = s * 2
s = 15
Answer: 15 mph
A park is rectangular with a length of 2/3
miles. If the area of the park is 3/9
square miles, what is its width? Input your answer as a fraction.
Answer:
Step-by-step explanation:
let : x the width
the area is 2/3 × x =3/9
x = (3/9)×3/2
x =1/2 miles
Write the equation of the quadratic function shown in the graph.
Answer:
Step-by-step explanation:
y = a(x-h)² + k, where (h,k) is the vertex.
vertex is clearly (0,0), so y = ax².
Plug in (3,3) and solve for a:
3 = a3²
a = ⅓
y = ⅓x²
The formula for the volume of a cone is V =
3
bah
Solve V =
on for b, the base of the cone.
Answer:
oh thats easy thats 7
Step-by-step explanation:
i guess
A warren of rabbits has a population of 350. The population is increasing at a rate of 3% per year. How can you write an exponential growth function to find the monthly growth rate? (I have other question pls help if you can)
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
We have,
To write an exponential growth function to find the monthly growth rate, use the following formula:
[tex]P(t) = P_0 (1 + r)^t[/tex]
Where:
P(t) is the population at time t
P₀ is the initial population (350 in this case)
r is the growth rate per time period (monthly rate in this case)
t is the time in the corresponding time period
To find the monthly growth rate.
[tex]= (1 + r)^{1/12} - 1[/tex]
= [tex](1 + 0.03)^{1/12} - 1[/tex]
= 0.02493
= 2.493 %
Therefore,
The exponential growth function to find the monthly growth rate is:
[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]
Learn more about exponential growth functions here:
https://brainly.com/question/14355665
#SPJ4
CONVERT THE PERCENTAGES FRACTION 120%
Answer:
[tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
Its 6/5..
1 = 20%
Please give brainliest
Select the correct answer,
Factor the given expression,
X2 + 16x + 64
O A. (X + 8)(x-8)
OB. (x+ 16)(x + 4)
Oc. (x+4)?
OD. (x+8)?
Answer:
(x+8)^2
Step-by-step explanation:
x^2 +16x+64
What two numbers multiply to 64 and add to 16
8*8 = 64
8+8 = 16
(x+8)(x+8)
(x+8)^2
Only two more questions
Answer:
60
Step-by-step explanation:
if it has a square in the center of the angle it means it is 90 degrees
so a straight line adds up to 180b
90 +30+x=180
x=60
The heights,in inches,of each of the players on a girls' basketball team are shown. 66,65,66,70,66,68,63,60,66,68,63,65 Which box plot correctly represents the data?
Given:
Consider the below figure attached with this question.
The given data set is:
66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65
To find:
The correct box plot for the given data set.
Solution:
We have,
66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65
Arrange the data set in ascending order.
60, 63, 63, 65, 65, 66, 66, 66, 66, 68, 68, 70
Divide the data set in 4 equal parts by using the parenthesis.
(60, 63, 63), (65, 65, 66), (66, 66, 66), (68, 68, 70)
Minimum value = 60
First quartile: [tex]Q_1=\dfrac{63+65}{2}[/tex]
[tex]Q_1=64[/tex]
Median: [tex]M=\dfrac{66+66}{2}[/tex]
[tex]M=66[/tex]
Third quartile: [tex]Q_3=\dfrac{66+68}{2}[/tex]
[tex]Q_3=67[/tex]
Maximum value = 70
It means the end points of the box plot are 60 and 70. The box lies between 64 and 67. Line inside the box at 66.
The box plot in option A is the only box plot that satisfy the above conditions.
Therefore, the correct option is A.
what is the area of a circle
The area of a circle with a radius of r is [tex]pi r^2[/tex]