Z-tests are closely related to t-tests, but t-tests are best performed when the data consists of a small sample size, i.e., less than 30. The given statement is true.
Does critical value depend on sample size?
The sample size and the crucial value that the researcher employed must be connected. The variations in critical values between the t-distribution and the normal-shaped sampling distribution, however, are minimal for sample sizes bigger than 30.
Z-tests and t-tests are closely related, but t-tests work best with small sample sizes of data, or those with fewer than 30 participants. Additionally, whereas z-tests assume that the standard deviation is known, t-tests assume that it is unknown.
You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct.
To learn more about sample size visit:https://brainly.com/question/25894237
#SPJ1
What’s the answer to 8 and 9
Answer: 4 red and 12 blue
Step-by-step explanation: Answer to 9
We know that for every red rose, he plants 3 blue flowers. The rate is 1:3. If he grows 16, there will be 4 red roses and 12 blue ones. This is because the rate is 1:3 then there are 4 flowers in all. This is 1/4 of how much he wants to grow. So multiply each type of plant by 4. 1 times 4 is 4, so there are 4 red ones. 3 times 4 is 12, so there are 12 blue ones. Hope this helps!
Shureka Washburn has scores of 67, 65, 64, and 88 on her algebra tests.
a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 73 or higher, given that the final exam counts as two tests.
b. Explain the meaning of the answer to part (a).
BY using the inequality,
(67 + 65 + 64 + 88 + 2x)/5 ≥ 73,
we find the score she must make on final exam to pass the courses with an average of 73 or higher is x>=80.
What is inequality?An inequality is a mathematical statement that shows that one quantity is greater than or less than another quantity.
What is average?The average, or mean, of a set of numbers is a measure of the central tendency of the set.
This inequality states that the average of Shureka's scores on the four tests and the final exam must be greater than or equal to 73 in order for her to pass the course. Solving for x, we find that x ≥ 80.
The meaning of the answer to part (a) is that Shureka must make a score of 80 or higher on the final exam in order to pass the course with an average of 73 or higher. In other words, if Shureka makes a score of 80 or higher on the final exam, her average score on the five tests will be 73 or higher, which is the minimum required to pass the course. If she makes a score lower than 80 on the final exam, her average score will be less than 73, and she will not pass the course.
To learn more about center tendency visit:
https://brainly.com/question/14552744
#SPJ1
The base of a square prism has an area of 16 in.2 The
height of the prism is 6 in. What is the surface area
of the square prism?
Answer:
idek
Step-by-step explanation:
A football club sells, on average, 23000 tickets per match. In one season they play, on average, 46 matches.How many tickets do they sell, on average, each season?
Answer:
the football team sells 805,000 tickets each season
Step-by-step explanation:
average number of tickets sold per match=23,000
the average number of games played each session=35
the number of tickets sold on average each session = 23,000 x 35 which equals 805,000
so the average football club sells 805,000 tickets each season
Find the sector area for the following:
(Use pi=3.14 when necessary and round your final answer to the hundredths.)
Sector Area =
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =\frac{2\pi }{3} \end{cases}\implies A=\cfrac{~~ \frac{2\pi }{3 }\cdot 6^2 ~~}{2}\implies A=12\pi \implies A\approx 37.68[/tex]
The graph represents the journey of a bus from the bus stop to different locations:
The title for the graph is Bus Journey. The label on the y-axis is Distance in miles, and the label on the x-axis is Time in hours. The graph shows 5 parts. The part labeled 1 is a smooth curve going up from the origin. The part labeled 2 is a straight horizontal line. The part labeled 3 is a smooth curve going up. The part labeled 4 is a straight horizontal line. The part labeled 5 is a smooth curve going down that touches the x-axis.
Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
Answer:
Part A is 100
Part B is 50
Part C is 25
all of it goes down by 15 so just keep subtracting
Step-by-step explanation:
I used common since and a sheet of paper
Two congruent parallelograms are joined along their base
to make the shape below.
18 cm
Work out the total area of the shape.
Optional working
11 cm
15 cm
The total area of the shape will be;
⇒ 721 cm²
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
Two congruent parallelograms are joined along their base to make the shape below.
Now,
We know that;
2 identical parallelogram whose area = 2 (Base x Height)
And, 2 identical right triangle = base x height
And, 1 rectangle = length x width
So, We get;
In parallelogram;
Base = 15 cm
Height = 11 cm
Hence, We get;
Area = 2 (15 x 11)
= 330 cm²
And, Area of two identical right triangle;
Base = 11 cm
Height = 11 cm
Hence, Area = 11 × 11
= 121 cm²
Area of rectangle = 18 x 15 = 270 cm²
Thus, The total area of shape will be;
⇒ 330 + 121 + 270
⇒ 721 cm²
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ1
tree with root vertex d that has a left edge to f, a center edge to b, and a right edge to a. b has a left edge to i, a center edge to h, and a right edge to e. a has a center edge to c. c has a center edge to g. (a) give the order in which the vertices of the tree are visited in a post-order traversal. (b) give the order in which the vertices of the tree are visited in a pre-order traversal.
Answer:
post-order: f, i, h, e, b, g, c, a, dpre-order: d, f, b, i, h, e, a, c, gStep-by-step explanation:
You want the (a) post-order, and (b) pre-order list of visited vertices in a traversal of the tree described by {root, left, center, right}: {d, f, {b, i, h, e}, {a, {c, g}}}.
(a) Post-orderA tree is traversed in post-order by visiting the left branch, center branch, and right branch before the root. This is accomplished recursively.
For the given tree, the root 'd' has left branch 'f' which has no branches. That means node 'f' is reported first.
The middle branch goes to 'b' which has three branches. Those are reported before their root 'b'.
The right branch from root 'd' goes to 'a', which has branch 'c' going to 'g'. So, 'g' is reported, then 'c', then 'a'.
Finally, 'd' is reported.
Hence, the post-order traversal is f, i, h, e, b, g, c, a, d.
(b) Pre-orderThe pre-order traversal reports the root node, then the left, center, and right nodes, recursively. The vertices are effectively visited in the order in which we have defined the tree above: d, f, b, i, h, e, a, c, g.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
255,250,245,...
Find the 40th term.
Answer:
there is no solution to the equation
for a roll of a fair die, each of the outcomes 1, 2, 3, 4, 5, or 6 is equally likely. a red die and a green die are rolled simultaneously, and the difference of the outcomes (red - green) is computed. this is repeated for a total of 500 rolls of the pair of dice. which of the following graphs best represents the most reasonable distribution of the differences?
Option B is the graph best represents the most reasonable distribution of the differences.
What is random variables?Any variable whose value is uncertain or any function that values each result of an experiment is referred to be a random variable. Discrete (having definite values) or continuous random variables are also possible (any value in a continuous range).
As a result, the random variables are so-called because it is impossible to determine their value with certainty; instead, we can only guess, and this estimate is known as the probability that a random variable will have a given value.
Here we assume the random variable X denotes the difference between the outcomes of rolling the two dice.
here the number of rolls is 500. As we know by central limit theorem every distribution approaches to normal distribution irrespective of the parent distribution. Since Normal is symmetric about the mean the most reasonable distribution is the second figure.
Option B is the correct answer.
To know more about distribution refer to:
https://brainly.com/question/17012084
#SPJ4
The complete question is as follows:
seven rooms in a house need to be painted. each room can be painted white or yellow.
To paint , 7 rooms in white or yellow, 128 possible outcomes are there.
What is the probability?The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.
There are seven rooms in the house and each can be painted either yellow or white.
And probability of total number of different outcomes
= total number of options
So, total number of different outcomes = 2⁷
Total number of different outcomes = 128
Therefore the total number of outcomes are 128.
To learn more about the probability;
brainly.com/question/11234923
#SPJ1
The complete question is;
A house has seven rooms. Each room can be painted white or yellow. How many possible outcomes are there?
Q2. On average, the surface area A of human beings is related to weight W and height H.
Measurements on several individuals give values of A in the following table:
H (cm) 182 180 179 187 189 194 195
193 200
W (kg)
74 88 94 78 84
98 76
86 96
A (m²) 1.92 2.11 2.15 2.02 2.09 2.31 2.02 2.16 2.31
Develop an equation to predict area as a function of height and weight using numerical method and MATLAB.
Use it to estimate the surface area for a 187-cm, 78-kg person
To develop an equation to predict the surface area of a person as a function of their height and weight using numerical methods and MATLAB, you can follow these steps:
The required details for MATLAB in given paragraph
Begin by organizing the given data into two separate arrays: one for height (H) and one for weight (W). For example, you might create the following arrays:
H = [182 180 179 187 189 194 195 193 200];
W = [74 88 94 78 84 98 76 86 96];
A = [1.92 2.11 2.15 2.02 2.09 2.31 2.02 2.16 2.31];
Use the MATLAB function "polyfit" to fit a polynomial function to the data. You can specify the degree of the polynomial function based on the number of variables you want to include in the model. For example, to fit a second-degree polynomial function, you can use the following command:
p = polyfit(H,A,2);
This will fit a polynomial function of the form A = p(1) * H^2 + p(2) * H + p(3) to the data, where p(1), p(2), and p(3) are the coefficients of the polynomial.
Use the MATLAB function "polyval" to evaluate the fitted polynomial function at a specific value of H. For example, to estimate the surface area for a person with a height of 187 cm, you can use the following command:
A_estimated = polyval(p,187);
This will return the estimated surface area for a person with a height of 187 cm. You can use similar commands to estimate the surface area for different values of H
what do you mean by MATLAB?
MATLAB (short for "Matrix Laboratory") is a programming language and software environment for numerical computation, visualization, and programming. It is commonly used in scientific, engineering, and mathematical fields to analyze and visualize data, develop algorithms, and build mathematical models.
A function in MATLAB is a self-contained block of code that performs a specific task or computation. Functions are useful because they allow you to reuse code and make your programs more modular and easier to understand. In MATLAB, you can define your own functions or use built-in functions that are provided with the software.
To learn more about MATLAB
https://brainly.com/question/15071644
#SPJ1
What is the end behavior of f(x)=−x^4−2x^3+2x^2−5?
Using the Leading Coefficient Test the end behavior of the given function f(x) = −x⁴ − 2x³ + 2x² − 5 is
x tends to -∞, f(x) tends to -∞What is end behavior?The end behavior of function typically says the characteristics of the function at the ends
How to find the end behavior of functionThe given function is:
f(x) = −x⁴ − 2x³ + 2x² − 5
The end behavior is determined by the leading Coefficient = −x⁴ and it is described as
x ⇒ ∞ f(x) ⇒ ∞
x ⇒ -∞ f(x) ⇒ -∞
Learn more about end behavior here:
https://brainly.com/question/28954897
#SPJ1
If 250 ml of milk has 154 calories, how many calories does 60 ml of milk have?? (pls respond fast!))
Answer:
36.96 calories
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.
The area of the shaded region is (Round to four decimal places as needed.)
The area of the shaded region is given as follows:
0.879.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.Considering the percentile, the area in this problem is given by one subtracted by the p-value of z = -1.17, which is of 0.121.
Hence:
1 - 0.121 = 0.879.
More can be learned about the normal distribution at https://brainly.com/question/25800303
#SPJ1
12 M Attend to Precision Ricardo has 325 tiles to make 4
mosaics. He uses the same number of tiles for each mosaic.
How many tiles does Ricardo use for each mosaic? How
many tiles does he have left over?
Divide
3
The number of tiles Ricardo use for each mosaic is 81 and 1 tile left over.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, M Attend to Precision Ricardo has 325 tiles to make 4 mosaics.
Here, the number of tiles need for each mosaic is 325/4
4|325|81
324
______
1
Therefore, the number of tiles Ricardo use for each mosaic is 81 and 1 tile left over.
To learn more about the division visit:
https://brainly.com/question/1575906.
#SPJ1
P=a+3b+4c solve for a
the answer is
a=p-3b-4c
URGENT 20 points please
The ancient Greek mathematician Euclid is credited with the development of the theorem that the sum of the angles of
a triangle is 180 degrees.
Use the previous information to solve for the measure of the two unknown angles of an isosceles triangle where the
third angle measures 32 degrees.
If the third angle measures 32 degrees, the other two angles measure ____ and ____
do 180-32=148 and then do 148÷2=74
Help
Is it correct?
Answer:
minimum value = 10
Step-by-step explanation:
the minimum value is at the left side of the whisker in the box plot, then
minimum value = 10
Conrad Savings Bank has a $50 overdraft fee. On Friday, Mr. McQuire deposited his paycheck of $382 for a total
account balance of $793. The next morning, his wife wrote a check for $1,233.34 for a new refrigerator and stove.
The check cleared the bank by the end of the day. What is the current balance in the McQuire's account?
Answer: Based on the information you provided, it seems that the McQuires had a total of $793 in their account on Friday, and their wife wrote a check for $1,233.34 the next day. If this check cleared the bank, their account balance would be $793 - $1,233.34 = -$440.34.
What is the mass of an object that
weighs -68.6 N?
Answer:
7 kg
Step-by-step explanation:
Newton's second law tells us that Force = Mass * Acceleration, also known as F = ma.
The downward acceleration due to gravity on Earth is usually taken to be 9.8 ms^-1.
Substitute the values into the equation:
68.6 = m * 9.8
Rearrange and simplify:
m = 68.6 / 9.8
m = 7 kg
find the area under the standard normal curve between the z-scores 0.97 and 1.26. do not round your answer.
Area under the given standard normal curve for the z-score between 0.97 to 1.26 is equal to 0.06219.
As given in the question,
Given values to find area under the standard normal curve = 0.97 to 1.26
From the table of area under the given standard normal curve
z - score of 0.97 is equal to 0.33398
z-score of 1.26 is equal to 0.39617
Area under given standard normal curve between z-scores 0.97 and 1.26
= P ( 0.97 < z < 1.26 )
= 0.39617 - 0.33398
= 0.06219
Therefore, the area under the given standard normal curve for the z-score between 0.97 to 1.26 is equal to 0.06219.
Learn more about area here
brainly.com/question/11952845
#SPJ4
how would i find the horizontal asymptote of R(t)= 30t+525/165t+7000
Answer:
[tex]y=2/11[/tex]
Step-by-step explanation:
[tex]\lim{t \to \pm \infty} R(t)=\lim_{ t \to \pm \infty} \frac{30t+525}{165t+7000} =\frac{30}{165}=\frac{2}{11}[/tex]
I have a hard time with these questions. Make sure your answer is rounded to nearest hundredth. Explain. Thank you in advance
(a) The printer will print 3.5 pages per minute.
(b) It will plant 0.13 acres of seed per pound.
What is a unit rate?
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.
(a) If a color printer prints 14 pages in 4 minutes.
So it will print = 14/4
= 3.5 pages per minute
(b) If it takes 23 pounds of seed to completely plant a 3 - acre field
So it can plant = 3/23
= 0.13 acres per pound.
Hence,
(a) The printer will print 3.5 pages per minute.
(b) It will plant 0.13 acres of seed per pound.
To learn more about unit rates, visit:
https://brainly.com/question/4895463
#SPJ1
Solve for x: -(2x-6)+10x=-5x-2(-7x-7)
what are the domain and range of the function f(x) = 3/4 x + 5
Answer:
Domain: (−∞,∞)
Range: (−∞,∞)
Step-by-step explanation:
This equation has no bounds of domain or range, so the answer to both is all real numbers.
please help me with this question
a) The probability that both are girls is of: 21/150.
b) The probability that both are from the same school is of: 0.7333 = 73.33%.
How to obtain the probabilities?
The probabilities are obtained as the division of the number of desired outcomes by the number of total outcomes.
For item a, the outcomes are given as follows:
One girl from school A -> 7/15 probability.
One girl from school B -> 3/10 probability.
Hence the probability that both are girls is of:
p = 7/15 x 3/10 = 21/150.
The probability that the two boys are from the same school can be given by these two cases:
School A: 8/15 x 7/14.
School B: 7/10 x 6/9.
Then the probability is of:
p = 8/15 x 7/14 + 7/10 x 6/9 = 0.7333 = 73.33%.
learn more about probabilities link below
brainly.com/question/14398287
#SPJ1
solve the following expression when t=6 and d=8. t+d divided by 8-6. help
Mr. Hansen has three sticks that measure 5 inches, 10 inches and 17 inches. If he connects the sticks ends, will the three sticks form a triangle?
write the following phrase as a variable
expression. Use x to represent "a number"
negative six subtracted from three times.
number
a
The phrase can be expressed as 3x-6, 3(x-2), x+2x-2-4, 4x-x+4-10 and x+x+x-2-2-2 and so on
What is mathematical phrase?It consists of several mathematical symbols organized in such a way that it can express mathematical concept.
How can we write mathematical phrase in various form?Mathematical phrase can be written in one or more different pattern to show the same expression.
As per question given, the phrase is expressed by
3x-6, where x is used to represent a number
the phrase can be written in 3(x-2)
other variable expressions of same phrase are x+2x-2-4
or 4x-x+4-10 or x+x+x-2-2-2
hence, a phrase can be written in one or more pattern to show same expression.
to read more about mathematical phrase visit:
https://brainly.com/question/11747469
#SPJ1