The null hypothesis is [tex]\mu = 39.09[/tex]
The symbol [tex]\mu[/tex] is the Greek letter mu
The alternate hypothesis is [tex]\mu \ne 39.09[/tex] telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to [tex]\mu \ne 39.09[/tex]
So either mu is 39.09 or it's not 39.09
You can use H0 and H1 to represent the null and alternate hypotheses respectively.
----------------------
Summary:
The two hypotheses are
H0: [tex]\mu = 39.09[/tex]
H1: [tex]\mu \ne 39.09[/tex]
This is a two tailed test.
what do you mean by food handling?
what do you understand by untensils?
Provide three quality points for dairy and eggs which indicate quality and freshness? Provide three quality points for dry goods that indicate quality and freshness?
Describe five ways you could increase the nutritional value of classical and contemporary cakes, pastries and bread or their filling?
Answer:
Find the definitions and points below.
Step-by-step explanation:
1. Food Handling refers to any of the stages in the preparation, storage, transportation, packaging, and delivery of food.
2. Utensils are those vessels and tools that are used to carry, cut, stir, and store items and ingredients required in food preparation.
3. Three quality points for dairy and eggs which indicate quality and freshness are;
a. Smell: A decaying and pungent smell indicates a lack of quality.
b. Color: An abnormal color with physical signs of rottenness shows a lack of quality.
c. The sinking test is used to check for the freshness of eggs. If an egg sinks when put in a glass of water, it is a sign of freshness. If it floats, it is an indication of decay.
4. Three quality points for dry goods that indicate quality and freshness:
Moisture: The presence of moisture in dry food shows a lack of quality.
Weight: Heaviness might be an indication that one coconut is better than another.
Texture: A dry food that is sticky might indicate a lack of freshness. Smoothness, crunchiness, hardness, and toughness are other qualities to look out for.
5. Five ways I could increase the nutritional value of pastries include
1. Using fresh ingredients: Fresh ingredients free from contamination will guarantee that foods with good nutritional values are produced.
2. Preparing them in a hygienic environment: A hygienic environment will prevent food poisoning by bacteria and other contaminants.
3. Using proper measurements: When the right measurements are used in the preparation of pastries a balanced snack is produced.
4. Good preservation techniques: The right preservation techniques will prevent food spoilage.
5. Good packaging and wrapping: These will prevent exposure of the food to moisture, rodents, and other unwanted factors. Thus, the nutritional value is preserved.
Which expression is equivalent to v2/3v2? 1/4 6v2 v2 v2/2
Answer:
Step-by-step explanation:
[tex]2^{1/2} - 2^{-1/3} = 2^{1/2 + 1/3} = 2^{3/6} = 2^{1/2} = \sqrt{2}[/tex]
Answer:
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
2 ^ 1/2 ÷ 2 ^ 1/3
We know that a^b ÷ a^ c = a^(b-c)
2 ^ (1/2 -1/3)
2^ (3/6 - 2/6)
2 ^ 1/6
[tex]\sqrt[6]{2}[/tex]
Consider the function f(x)=x^3-4x^2+2. Calculate the limit of the difference quotient at x0=3 for f(x).
The limit of the difference quotient of the above function [tex]f(x)[/tex] at [tex]x=3[/tex] is [tex]3[/tex] such that [tex]f(x)=x^{3} - 4x^{2} + 2[/tex].
Difference of quotientThe difference quotient of a function [tex]f(x)[/tex] is [tex]\frac{f(x+h)-f(x)}{h}[/tex].
How to evaluate the limit of the function?The given equation is, [tex]f(x)=x^{3} -4x^{2} +2[/tex]
So, [tex]f(x+h)=(x+h)^{3} -4(x+h)^{2} +2= x^{3} +h^{3}+3x^{2} h+3xh^{2} -4x^{2} -4h^{2} -8xh+2[/tex]
Now, [tex]f(x+h)-f(x)[/tex]
[tex]=x^{3}+h^{3}+3x^{2}h+3xh^{2}-4x^{2}-4h^{2}-8xh+2-x^{3}+4x^{2}-2[/tex]
[tex]=h^{3}+3x^{2}h+3xh^{2}-4h^{2}-8xh[/tex]
So, [tex]\frac{f(x+h)-f(x)}{h} =\frac{h^{3}+3x^{2}h+3xh^{2} -4h^{2}-8xh }{h}[/tex]
[tex]=h^{2}+3x^{2}+3xh-4h-8x[/tex]
Now, at [tex]x=3[/tex],
[tex]h^{2}+3x^{2}+3xh-4h-8x=h^{2}+27+9h-4h-24=h^{2}+5h+3[/tex]
If [tex]h[/tex]→[tex]0[/tex], the value of [tex]h^{2}+5h+3=3[/tex]
Thus, the limit of the difference quotient of the above function [tex]f(x)[/tex] at [tex]x=3[/tex] is [tex]3[/tex].
Learn more about the limit of the difference quotient here- https://brainly.com/question/17008881
#SPJ2
Solve the system of linear equations below.
6x + 3y = 33
4x + y = 15
A.
x = 2, y = 7
B.
x = -13, y = 7
C.
x = - 2/3, y = 12 2/3
D.
x = 5, y = 1
Answer:
The answer for both linear equations is A. x = 2, y = 7
Step-by-step explanation:
First start by plugging in the variables with the given numbers (2,7). We'll start with 6x + 3y = 33.
6x + 3y = 33
6 (2) + 3 (7 )= 33 <--- This is the equation after the numbers are plugged in.
12 + 10 = 33
33 = 33 <---- This statement is true, therefore it is the correct pair.
Now we are not done, to confirm that this pair works with both equations we need to solve for 4x + y = 15 to see if it works. Linear Equations must have the variables work on both equations.
4x + y = 15 <----- We are going to do the exact same thing to this equation.
4(2) + 7 = 15
8 + 7 = 15
15 = 15 <-- 15=15 is a true statement therefore this pair works for this equation.
Therefore,
A. x = 2, y = 7 is the correct answer
Sorry this is a day late, I hope it helps.
Diana adds either 2 or 5 to every whole number from 1 to 9. She wants to achieve as few different sums as
possible. What is the minimum number of different values she obtains?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Would you rather?
buy 2 lollypops for $2
buy 30 lollypops for $40
Answer:
Buy 2 lollipops for $2.
Step-by-step explanation:
If you divide the total price by total items purchased, you get the price per unit. 2/2=1 or around $1, while 40/30=4/3 or around $1.3. You are paying 1$ per lollipop for the 2 lollipop choice and paying 1.3 dollars per lollipop for the 30 lollipop choice.
Can someone do these for me and list the number because I’m struggling rn. And I’m having a breakdown lol.
Answer:
Step-by-step explanation:
First remove the parentheses.
As the sign outside the second parentheses is a + then the signs of the terms inside stay the same.
So the first one + (-3x +2) is just -3x + 2.
All the others on the left column are answered in the same way.
No. 4:
(-2x + 10 + (-8x - 1) Just remove the parentheses, we get:
-2x + 10 - 8x - 1 (we leave out the + before the second parentheses).
= -2x - 8x + 10 - 1
= -10x + 9
6. 8x + 8 + ( -6x - 1)
= 8x + 8 - 6x - 1
= 8x - 6x + 8 - 1
= 2x + 7.
- the other expressions on the right side column are solved in the same way.
for maths answer this question please
4x-9=6-9
Answer:
x = 1.5
Step-by-step explanation:
First, calculate 6-9, which is -3.
Then we add 9 on both sides so that on the left, we only have 4x, and on the right, we have 6.
Then divide by 4 on both sides to get x = 1.5
Ross Times, the student newspaper of Ross College, printed a "What do you think?" column feature asking: "Do you think that the college is doing enough to provide student parking?" Anyone could mail in a response or use the paper's Web site to respond. In all, 126 answers were received. This is an example of what type of sample? A convenience sample A simple random sample A multistage sample A voluntary response sample
Answer: A simple random sample
Step-by-step explanation:
Simple random sampling refers to the probability sampling whereby the researcher chooses selects a subset of participants from the population.
In this case, every member has an equal chance of being chosen. Since anyone could mail in a response or use the paper's Web site to respond, then it's a simple random sampling.
A bottle maker believes that 23% of his bottles are defective. If the bottle maker is accurate, what is the probability that the proportion of defective bottles in a sample of 602 bottles would differ from the population proportion by less than 4%
Answer:
0.9802 = 98.02% probability that the proportion of defective bottles in a sample of 602 bottles would differ from the population proportion by less than 4%
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
A bottle maker believes that 23% of his bottles are defective.
This means that [tex]p = 0.23[/tex]
Sample of 602 bottles
This means that [tex]n = 602[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.23[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.23*0.77}{602}} = 0.0172[/tex]
What is the probability that the proportion of defective bottles in a sample of 602 bottles would differ from the population proportion by less than 4%?
p-value of Z when X = 0.23 + 0.04 = 0.27 subtracted by the p-value of Z when X = 0.23 - 0.04 = 0.19.
X = 0.27
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.27 - 0.23}{0.0172}[/tex]
[tex]Z = 2.33[/tex]
[tex]Z = 2.33[/tex] has a p-value of 0.9901
X = 0.19
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.19 - 0.23}{0.0172}[/tex]
[tex]Z = -2.33[/tex]
[tex]Z = -2.33[/tex] has a p-value of 0.0099
0.9901 - 0.0099 = 0.9802
0.9802 = 98.02% probability that the proportion of defective bottles in a sample of 602 bottles would differ from the population proportion by less than 4%
Which table represents the graph below?
On a coordinate plane, points are at (0, negative 3), (1, negative 1), (2, 1), (3, 3), (4, 5), and (5, 7).
Answer:
0,-3
Step-by-step explanation:
it will help u
Answer:
A
Step-by-step explanation:
Find the probability of selecting 3 cards from a standard deck without
replacing them and all 3 are hearts.
Answer:
B
Step-by-step explanation:
THere are 52/4= 13 hearts we can draw
The number of ways to draw 3 hearts from 13 is
13C3= 286
The number of ways to draw 3 cards from 52 is
52C3= 22100
divide these
286/22100= 11/850
This is answer B
Will give brainliest answer
Answer:
A
Step-by-step explanation:
the proof of the answer is shown above
A game-show spinner has these odds of stopping on particular dollar values: 55% for $5, 20% for $25, 15% for $50, and 10% for $500. What are the odds of a player winning $5 or $25
Answer: 75%
Step-by-step explanation:
The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given in as
x 01234
f(x) 0.41 0.37 0.16 0.05 0.01
Find the average number of imperfections per 10 meters of this fabric.
Answer:
0.88
Step-by-step explanation:
x 01234
f(x) 0.41 0.37 0.16 0.05 0.01
The mean or average is the expected value :
E(X) = Σ(x * p(x)) = (0 * 0.41) + (1 * 0.37) + (2 * 0.16) + (3 * 0.05) + (4 * 0.01)
E(X) = 0 + 0.37 + 0.32 + 0.15 + 0.04
E(X) = 0.88
what is the formula for perimeter of a square
Answer: P = 4s
Step-by-step explanation:
P = 4s where s = the length of each side.
Since each side of a square is the same length, the side length is multiplied by 4.
For a population with µ = 40 and σ = 8, what is the z-score corresponding to X = 34?
Answer:
Step-by-step explanation:
[tex]\frac{34-40}{8}= -.75[/tex]
help me guys, I really need your help
Answer:
The answer should be like this;
a) A-B
b) BUC
c) C-A
HAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ツ
in a class of 38 student,30 are good in mathematics and 22 are good in physics how many students are good in both mathematics and physics
Answer:
8 are bad in math and 16 in physics
Step-by-step explanation:
Notación científica de 0,567
Answer:
0,00567×10¹
Step-by-step explanation:
Para convertir a notación decimal:
0.00567×10¹
Mrs. Taylor is planning a pizza party for her students. She plans to purchase cheese pizza and pepperoni pizza for her students to enjoy. Cheese pizzas cost $8 each and pepperoni pizzas cost $11 each. She needs to purchase at least 12 pizzas, while spending no more than $180.
What are two combinations of cheese and pepperoni pizzas that Mrs. Taylor can purchase without exceeding her spending limit?
Let x represent the number of cheese pizzas purchased and y represent the number of pepperoni pizzas purchased.
Answer:
Step-by-step explanation:
She needs 12 pizzas
x + y = 12
She also can't spend more than 180 dollars.
8x + 11y < 180 She can get all 12 pizzas and have the bill come to 132 dollars
11 * 12 = 132
She could really be kind to her pocket book and get all cheese pizzas
8*12 = 96 which saves her 36 dollars.
So any number of either kind will do.
(0,12) = 132
(1,11) = 8*1 + 11*11 = 129
and so on down the line
Which statements below represent the situation? Select three options.
Answer:
where is the statement
Step-by-step explanation:
its incomplete po
Two vectors and are given by and . If these two vectors are drawn starting at the same point, what is the angle between them
Answer: hello your question is incomplete below is the complete question
The Two vectors; A = 5i + 6j +7k and B = 3i -8j +2k.
answer;
angle = 102°
Step-by-step explanation:
multiplying the vectors
A.B = |A| * |B|* cosθ
hence : Cosθ = (Ai*Bi )+ (Aj*Bj) + ( Ak*Bk/ (√A^2 *√B^2 )
= 15 - 48 + 14 /(√25+26+29) * (√9+64+4)
= -0.206448454
θ = cos^-1 ( -0.206448454) = 101.9° ≈ 102°
Using the following distribution, calculate the following measures of central tendency:
State Proportion of Residents Without Health Insurance Louisiana 0.19 New Jersey 0.13 New York 0.16 Pennsylvania 0.11 Rhode Island 0.09 South Carolina 0.13 Texas 0.25 Washington 0.14 Wisconsin 0.10
N = 9
Identify the variable:
Identify the median:
Identify the mean:
How would you describe the shape of the distribution:
Answer:
(a) Residents
(b) [tex]Median = 0.13[/tex]
(c) [tex]\bar x = 0.14[/tex]
(d) Right skewed
Step-by-step explanation:
Given
The data of residents without health insurance
Solving (a): The variable
The variable is the residents
Solving (b): The median
First, we sort the data
[tex]Sorted: 0.09, 0.10, 0.11, 0.13, 0.13, 0.14, 0.16, 0.19, 0.25[/tex]
So, the median position is:
[tex]Median = \frac{n + 1}{2}[/tex]
[tex]Median = \frac{9 + 1}{2}[/tex]
[tex]Median = \frac{10}{2}[/tex]
[tex]Median = 5th[/tex]
The 5th element of the dataset is: 0.13
So:
[tex]Median = 0.13[/tex]
Solving (c): The mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{0.09+ 0.10+ 0.11+ 0.13+ 0.13+ 0.14+ 0.16+ 0.19+ 0.25}{9}[/tex]
[tex]\bar x = \frac{1.3}{9}[/tex]
[tex]\bar x = 0.14[/tex]
Solving (d): The shape of the distribution
In (b) and (c), we have:
[tex]Median = 0.13[/tex]
[tex]\bar x = 0.14[/tex]
By comparison, the mean is greater than the median.
Hence, the shape is: right skewed.
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y -4 = %(x -8). What is
the slope-intercept form of the equation for this line?
O y = ÷x-12
O y= x-4
O y= =x+2
O y= =x +6
Answer:
y= x-4
Step-by-step explanation:
Identify the sampling technique used for the following study.
A statistics student interviews the last fifteen attendees to arrive.
A) Census
B) Stratified Sample
C) Systematic Sampling
D) Simple Random Sampling
E) Cluster Sampling
F) Convenience Sampling
Answer:
F) Convenience 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.
A statistics student interviews the last fifteen attendees to arrive.
Conveniently available, so convenience, and the correct answer is given by option F.
a student estimates the length of a room to be 20 feet. The actual length is 20.25 feet. What is the percent error?
Answer:
Percent error=1.23%
Step-by-step explanation:
We are given that
Estimate length of room=20 feet
Actual length of room=20.25 feet
We have to find the percent error.
To find the percent error we will find the difference between the estimate length and actual length of room.
Difference=Actual length of room-Estimate length of room
Difference=20.25-20
Difference=0.25 feet
Now,
Percent error=[tex]\frac{Difference}{actual\;length}\times 100[/tex]
Percent error=[tex]\frac{0.25}{20.25}\times 100[/tex]
Percent error=1.23%
what is the answer to this equation4
5
+ v =
41
20
Answer:
4075
Step-by-step explanation:
Please help solve
-5<14-4x≤3
Answer:
Interval notation (-5,3]
please show me step by step how to simplify this equation
Answer:
1-x^2/x^3 - 1 = 1/x
Step-by-step explanation:
First rewrite x^3 as x^2 * x cancel x^2 in both numerator and denominator.
Write below
1 - 1/x - 1
Subtract
1 - 1 = 0
now simplify
1 -1 /x - 1 = 1/x
1/x = Answer
Can you Understand