HELPPPPP pleaseeeeeeeeeeeeeeeeeeeee
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.05.
If 202 are sampled, what is the probability that the sample proportion will differ from the population proportion by greater than 0.03? Round your answer to four decimal places.
The probability that the sample proportion of the number of people using the courier will differ from the population proportion by greater than 0.03 is 0.0504
How to get the required probabilityThe probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean
The z score is given by the formula
z = (X - μ) / σ
Definition of variables
mean, μ = p = 0.05
sample size, n = 202
standard deviation, σ
= √{(p(1 - p)) / n}
= √{(0.05(1 - 0.05)) / 202}
= √{(0.05 * 0.95) / 202}
= 0.01533
The probability
differ from the population proportion by less than 3%
|X - 0.05| > 0.03
X < 0.02 OR X > 0.08
P(z < 0.02) + P(z > 0.08 )
z score for z < 0.02
z = (0.02 - 0.05) / 0.01533
= -1.9569
p value for z < -1.9569 = 0.02518
z score for z > 0.08
z = (0.08 - 0.05) / 0.02196
= 1.9569
p value for z > 1.9569 = 1 - 0.9748 = 0.02518
The probability required = 0.02518 + 0.02518 = 0.0504 = 5.04%
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Differentiate the function with respect to x.
Differentiation of f(x) is [tex]-8x^{3} sinx^{4}[/tex].
Given,
f(x) = [tex]cos2x^{4}[/tex]
Now, we will differentiate f(x) with respect to x,
[tex]\frac{d}{dx}cos2x^{4} = (\frac{d}{dx}cos2x^{4})(\frac{d}{dx}2x^{4} )[/tex]
[tex]= (-sin2x^{4})(2*4x^{3})[/tex]
[tex]= -8x^{3}sin2x^{4}[/tex]
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Suppose we want to determine how long it takes on average for a typical adult to build four different styles of tables,
which are referred to as A, B, C, and D. To create four treatment groups, the researcher begins by writing the name
of each member of the population on a slip of paper. Next, the researcher puts all slips of paper into a hat and
shuffles them well. Finally, the researcher draws slips of paper from the hat to determine the participants in the
experiment. Identify the component missing from the researcher's process.
The researcher did not assign individuals to treatment groups.
* The researcher did not create the correct number of treatment groups
The researcher did not select the experimental units randomly.
* The researcher did not allow each experimental unit the chance of being chosen
Intro
Final
According to the given statement the correct option is A.
The researcher did not assign individuals to treatment groups.
What Do Researchers Actually Do?Typically, researchers are employed by either university or commercial organizations. To support future research, enlarge the body of academic literature, and enhance decision-making, researchers collect data over the course of a project, evaluate the data, and publish the results.
What aspect of a researcher's job is most crucial?Researchers have an obligation to share their findings, collaborate with others when needed, and transmit and use information for the good of their employer, the economy, and society at large. In the process of their research, researchers have an obligation to conduct themselves honestly and ethically.
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4. A Bag of marbles has 4 yellow, 5 red, and 1 purple. Create a situation that would satisfy the following:
a) Something that is IMPOSSIBLE to
happen.
b) Something that is EQUALLY
LIKELY to happen.
c) Something that is LIKELY to
happen.
According to the solving Probability the value are as follows.
a) P(Blue)= 0/10
b) P(Red)= 5/10
c) P(Red or Yellow)= 9/10
What is probability?The definition of probability is "How likely something is to happen."
Probability is indeed a number ranging from 0 to 1 that expresses the likelihood that an event will take place as specified.
First, 0 P(E) 1 (where P(E) specifies the probability of an event E) and second, the sum of the probabilities of any collection of mutually and exclusive exhaustive occurrences equals 1 are the two characteristics that define a probability.
According to the given data:We have a Bag of marbles has 4 yellow, 5 red, and 1 purple.
Total balls in a bag= 4+5+1=10 balls.
Something that is IMPOSSIBLE to happen.
P(Blue)= 0/10
Something that is EQUALLY LIKELY to happen.
P(Red)= 5/10
Something that is LIKELY to happen.
P(Red or Yellow)= 9/10
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2. (01.03 LC)
Landyn is comparing cell phone plans. He does not want to spend more than 10% of his net pay each month. If his current monthly net pay is $560.00, which
plan below fits into his budget? (2 points)
Plan A: 55+55(0.05) -
Plan B: 50+ 50(0.05) -
Plan C: 60+60(0.05) =
Plan A
O Plan B
Plan C
O No plans
The plan that fits to Landyn's budget is plan B
What is percentage and how to calculate it?
A percentage is a certain number or part in every hundred. It is a fraction with the denominator 100, and the symbol for it is "%." Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. Two methods exist for calculating a percentage. By adjusting the fraction's denominator to 100 and applying the unitary approach.
We are given that Landyn's current monthly net pay is $560
And he does not wish to spend more than 10% of his current net pay
That means not more that $56
Now we are given 3 choices
Out of which the third one is more than 60 hence this rules out the third option. Now the first option the value is 55+55(0.005) which again is more than $56
Consider the option B)
50 + 50(0.05)
= 52.5
Which is less than $56
Hence, The plan that fits to Landyn's budget is plan B
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A local grocery store offers 3 brands of laundry detergent. Brand A costs $14.99 and contains 40 fluid ounces of detergent. Brand B costs $19.99 and contains 50 fluid ounces of detergent. Brand C costs $21.99 and contains a half-gallon of detergent. Which of the detergents has the best value?
Answer:
$ 52.63
Step-by-step explanation:
The brand C detergent has the best value.
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.
As per the given data in the question:
The information regarding the quantity and cost of 3 detergents is given in the question.
We have to find out which detergent is the most economical.
The detergent with the lowest cost/quantity will be the most economical.
For Brand A
Cost = $14.99
Quantity = 40 ounces
cost/quantity = 14.99/40 = 0.374 dollar/ounce
For Brand B
Cost = $19.99
Quantity = 50 ounces
cost/quantity = 19.99/50 = 0.399 dollar/ounce
For Brand C
Cost = $21.99
Quantity = 1/2 gallon = 64 ounces
cost/quantity = 21.99/64 = 0.343 dollar/ounce
The brand C detergent has the best value.
Hence, The brand C detergent has the best value.
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Louie is studying ceramics, and he was asked to submit 5 vessels from his collection to exhibit at the fair. He has 15 vessels that he thinks are show worthy. In how many ways can the vessels be chosen?
Louie can choose the vessel for exhibition using combination in 3003 ways
How to determine the number of Louie can choose the ceramicinformation from the question include
Louie is studying ceramics and he is to submit 5 vessels
He has 15 vessels
The problem will be solved using combination
combination is method of choosing or making selection when order does not matter
Louie can choose any 5 of his vessel with no particular order
The formula is ₁₅C₅
₁₅C₅ = 15! / {5!(15 - 5)! )
= 15! / {5! * 10!}
= 3003 ways
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Alma ran a marathon. The graph shows the distance she ran during the marathon. Use the drop-down menus to complete the statements based on the graph.
From the proportional relationship graphed, it is found that:
The labeled point means that in 2 hours she ran 16 miles.In 1 hour, Alma ran 8 miles.Her distance changed at a unit rate of 8 miles per hour, so Alma's speed was of 8 miles per hour.If Alma ran faster, the slope of the graph would be greater.What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0, meaning that the relationship passes through the origin.
When the two variables x and y are direct proportional, the output variable y is obtained multiplying the input variable x by the constant of proportionality k, according to the rule presented follows:
y = kx.
From point (2,16) in this problem, the constant is given as follows:
k = 16/2 = 8.
Hence the equation is:
y = 8x.
Meaning that her rate is of:
8 miles per hour.
If she ran faster, the slope = constant would increase, as it represents the velocity.
Missing InformationThe problem is given by the image at the end of the answer.
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MODELING REAL LIFE The diagram shows the prices of two
types of ground-cover plants. A gardener can afford to buy 125
vinca plants and 60 phlox plants.
$1.20/plant Vinca $2.50/plant Phlox
a. Write an equation in standard form that models the possible
combinations of x vinca plants and y phlox plants the gardener
can afford to buy.
An equation that models the possible combinations is:
___ = 300.
Please help!
a.
A gardener can afford to buy 125 vinca plants and 60 phlox plants. $1.20/plant Vinca $2.50/plant Phlox.
The equation in standard form that models the possible combinations of x vinca plants and y phlox plants the gardener can afford to buy is
⇒ $1.20*x + $2.50*y
b.
An equation that models the possible combinations is
⇒ $1.20*125 + $2.50*60 = 300
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help fast plsss bout to turn it in
Answer:
Box A: -2x
Box B: 2/9
Step-by-step explanation:
Multiply 1/3 by each of the expressions above the rectangle.
Box A: 1/3 × (-6x) = -2x
Box B: 1/3 × 2/3 = 2/9
If you throw exactly two heads in three tosses of a coin you win $41. If not, you pay me $29. If you played this game 713 times how much would you expect to win or lose?
Two heads in three tosses is 3/8, 3/8x713=267.375. 267.375×41=10,962.375.
5/8x713=445.62, 445.62×29=12,923.125
So 10,962.375-12,923.125=-1960.75
Therefore if you played this game, you would statistically lose $1960.75
Like terms 8x-12-10x-8
Choosing the best bank for a new savings account
The major criteria to be considered when going for a bank to have a new savings account registered with them are as follows:
Low interest rates on my savingsFriendly customer serviceOnline banking site usability platform.Why low interest rate makes a criterion for choosing the bank to bank with.As an entrepreneur, finding a good bank to open a savings account with might be much tedious to do. However, I have live to understand that banks with low interest rate are a better catch if I am considering a good saving lifestyles. I cannot stand a banking system that charges me unnecessarily all the time all in the name of fee or the other, which results to reducing my money in their system.
That being said, discovering a bank which has welcoming and helping customer service is also an important factor to be considered when choosing to right banking system.
In conclusion, it can be deduced that a bank with which does not deduct one's money anyhow all in the name of interest is worth having a savings account with.
Complete question:
What are the conditions to be considered in choosing the best bank for a new savings account?
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What is the function rule for the line?
f (x) = 2x - 4
f(x)=-4x - 2
f(x) = 4x - 2
f (x)= -2x + 4
Answer: f (x)= -2x + 4
Write the linear equation when given the following information.
m = -2 and b = -5
Answer:
y=-2x-5
Step-by-step explanation:
m =-2 and b=-5 so when substituted it will get you y=-2x-5
A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?
The magnitude of the boats resultant vector is 314.1 mi
What is a vector?A vector is a physical quantity that has both magnitude and direction.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
How to find the boats resultant vector?Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i
So, the resultant vector R = r + r'
= (285 mi)j + (132 mi)i
= (132 mi)i + (285 mi)j
So, the magnitude of the resultant vector is R = √(r² + r'²)
So, substituting thevalues of the variables into the equation, we have
R = √(r² + r'²)
R = √((285 mi)² + (132 mi)²)
R = √(81225 mi² + 17424 mi²)
R = √(98649 mi²)
R = 314.08 mi
R ≅ 314.1 mi
So, the resultant vector is 314.1 mi
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Josephine invests £3,500 in a bank account which pays annual compound interest of 4.5%. How much money will she have in the bank after: (a) 2 years, (b) 3 years?
Josephine have £3882.9 amount after 2 years and £3994.9 amount after 3 years.
Using the formula of compound interest we can find the amount after t years compounded annually at the r per cent rate.
The formula of compound interest is as follows,
[tex]A=p(1+\frac{r}{100} )^t[/tex]
Where P is the principal value, A is the amount, r is the rate and t is the time.
Here we have a principal value of £3,500 and a rate is 4.5%.
Now, finding the amount after 2 years by putting the values in the formula of compound interest,
[tex]A=p(1+\frac{r}{100} )^t\\\\A=3500(1+\frac{4.5}{100} )^2\\\\A=3500(1+0.045 )^2\\A=3500(1.045)^2\\A=3500\times1.092025\\A=3882.0875[/tex]
So, After 2 years Josephine will have £3882.9.
Now, finding the amount after 3 years,
[tex]A=p(1+\frac{r}{100} )^t\\\\A=3500(1+\frac{4.5}{100} )^3\\\\A=3500(1+0.045 )^3\\A=3500(1.045)^3\\A=3500\times1.141166125\\A=3994.0814375[/tex]
So, After 3 years Josephine will have £3994.9.
Therefore, After 2 years Josephine will have £3882.9 and after 3 years Josephine will have £3994.9 when 4.5% interest is compounded annually.
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Find the ratio of 1.94 million to 2.16 million
Answer:
0.97m : 1.08m
Step-by-step explanation:
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HELP, ASAP PLEASE. 15 POINTS! ( Only 1 picture is attached)
The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million
How to find the input values of functions?
We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;
A(h) = -0.06h² + 2h + 4
where h is the time in number of hours after which the concentration is recorded.
Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;
A(4) = -0.06(4²) + 2(4) + 4
A(4) = -0.96 + 12
A(4) = 11.04 parts per million
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8x-4=2(4x-4)
for how many games is the total cost of bowling equal for the two bowling establishments??
Answer: x= 0.5
Step-by-step explanation:
8x-4=2(4x-4)
You would want to take away the smaller x which is (4x)
4x-4=2-4
+4 +4
4x-4=2
+4 +4
4x=2
daddy ;)
A line of best fit was drawn for 5 data points. What is the maximum number
of these data points that may not actually be on the line?
A. 5
B. 3
C. 2
D. 4
Answer:
Step-by-step explanation:
Correct answer is A 5
What value of k will translate the graph of f(x) = 5x + 6 down by 1 when replaced by f(x) + k?
Step-by-step explanation:
"down by one" means that the y values (the function result values) are all decreased by 1.
so, k = -1
one positive number is 8 more than twice another. if their product is 1242, find the numbers?
Answer:
Step-by-step explanation:
18. MULTIPLE CHOICE
(Lesson 2-6)
(A) X=-4
B) X= 4
Ox=8
(D) X = 20
Solve
3
x + 4
=
2
X-4
Answer:
Step-by-step explanation:
solving 3x+4=2x-4
now 3x-2x=-4-4
⇒ x=-8
(c) x=8 here you have given it as O thank you
Confused please help.
The image of the corresponding to each slope is attached
What is slope?A line's steepness can be determined by looking at its slope.
Slope is determined mathematically as "rise over run" (change in y divided change in x).
assuming slope is m
m = (y₂ - y₁) / (x₂ - x₁) = change in y / change in x
considering the formula
slope is between 0 and 1 when rise (change in y) is so smaller than run (change in x) hence the line is closer to horizontal
slope is greater than 1 then the rise is more than run, in this case the line is approaching vertical line
numbers less than zero are negative hence slope has a negative value
A horizontal line is a line that has a slope of of zero while vertical lines has its slope as infinity
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1. What property is demonstrated by the following example: 3+1 = 1+3
2 points
distributive
associative
additive identity
commutative
Clear selection
2. Which property is displayed in the given example: 4(2-x) = 8 - 4x
2 points
distributive
associative
commutative
multiplicative inverse
Clear selection
3. Which of the following examples displays the additive identity property:
2 points
3+(1+2) = (3+1) + 2
3 + 0 = 3
3+1 = 1+3
3/1(1/3) = 1
Clear selection
4. Which property below is shown here: 32 + (x +2) = (32 + x) + 2
2 points
distributive
associative
additive identity
commutative
Clear selection
5) Which of the following is an example of an expression?
*
2 points
Option 1
Option 2
Option 3
Option 4
6) Translate: Thirteen less than twice a number
*
2 points
Option 1
Option 2
Option 3
Option 4
7. The following example is demonstrating which property: 4/1(1/4)=1
2 points
distributive
associative
commutative
multiplicative inverse
8) Which of the following best describes a monomial?
*
2 points
A algebraic expression with three terms
An algebraic expression containing exactly one term
A number that has more than two factors
An algebraic expression containing two terms.
9) Charlie was evaluating the expression below and made an error. In what line did he make his error? (unit 2 Integer review)
*
2 points
Captionless Image
(1) Line #1
(2) Line #2
(3) Line #3
(4) Line #4
10) Which number sets does "0" belong to? (Unit 1 Number sets review)
*
2 points
Rational ONLY
Real, Rational, Integer, and Whole Numbers
Real and Irrational Numbers
Real and Natural Numbers
11. Solve 2/3 divided by 0.8 (Unit 3 operations with rational numbers review)
2 points
2 1/2
5/6
2 2/5
0
12. Which expression below is an example of a binomial?
2 points
2x
2x + 2
2xy + x + 2
2xy
13. Which expression correctly simplifies the polynomial? 2x - 4 + 3x + 24
2 points
1x + 20
5x + 28
1x + 28
5x + 20
14. Which expression correctly simplifies the following expression? 2.5(3n + 3.6)
2 points
5.5n + 6.5
7.5n + 3.6
7.5n + 9.0
5.5n + 9.0
15. After you translate the following problem, which choice shows the negative 1 distributed correctly? Subtract (4m + 15) from (12m - 10)
2 points
4m +15 - 12m - 10
4m +15 - 12m + 10
12m - 10 - 4m + 15
12m - 10 - 4m - 15
16. Factor the following expression: 6x - 18
2 points
2(3x - 9)
3(2x - 6)
6(1x - 3)
9(3x - 2)
Submit
Clear form
Answer:
1:commutative
2:distribution
3:3+0=3
4:distributive
5:
The side length of a square is √8, find the perimeter.
is the number rational or irrational?
Step-by-step explanation:
Square has perimeter 4a because every side is equal,
so :
if a=√8 , then 4a = 4*√8 or 11.313708499
and the number is rational
y=1/x+2 slope and y intercept
Answer:
Step-by-step explanation:
I think the slope and the y is not 1/x because 2 is not part of the slope, im not sure
A+(-7)=-17 I don’t know
Answer:
a = -10
So your answer is a = -10, I hope this helps!
Step-by-step explanation:
a + (-7) is the same as a - 7, so you could rewrite it as
a - 7 = -17
+ 7
