1The probability that the sample proportion will be between 0.21 and 0.41 is 0.6452.
2 The probability that the sample proportion will be between 0.26 and 0.36 is 0.4359.
How to calculate the probability1. The standard error of the sampling distribution is calculated using the following formula:
SE = ✓(p(1-p)/n)
SE = ✓(0.31(1-0.31)/101)
= 0.023
The probability that the sample proportion will be between 0.21 and 0.41 can be found using the normal distribution. The z-scores for 0.21 and 0.41 are -2.17 and 1.96, respectively. The area under the normal curve between -2.17 and 1.96 is 0.6452.
2. The probability that the sample proportion will be between 0.26 and 0.36 can be found using the normal distribution. The z-scores for 0.26 and 0.36 are -1.19 and 0.43, respectively. The area under the normal curve between -1.19 and 0.43 is 0.4359.
Leaen more about probability on
https://brainly.com/question/24756209
#SPJ4
Identify the properties of the graph of the following. Sketch the graph with the use of Reflective Point:
1. y=(x-5)²+4
2. y=2x²+8x+5
Therefore , the solution of the given problem of graph comes out to be (0,29) and (0,5).
Explain graph.Graphs are used by academics to logically depict or chart events or values visually. A graph point often depicts the relationship between two or more things. The non-linear storage structure known as a graph is made up of nodes, often referred to as vertices, and edges. Glue ought to be used to join the nodes, also known as vertices. In this graph, the vertex numbers are 1, 2, 3, or 5, whereas the edge numbers were 1, 2, 1, 3, 2, 4, etc (2.5). (3.5). (4.5). (4.5). graphics that graphically represent exponential growth in statistical diagrams like line graphs, charts, and bar graphs. a logarithmic graph with a triangle form
Here,
Given :
=> y=(x-5)²+4
So,
x =0
then y value :
=> y = (0-5)² +4
=> y = 25 +4
=> y = 29
=> (0,29)
and
=> y=2x²+8x+5
So,
x = 0 ,
then y value :
=> y = 2(0)² + 8(0) + 5
=> y = 5
=> (0,5)
Therefore , the solution of the given problem of graph comes out to be (0,29) and (0,5).
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
given the graphs of f(x) and g(x), evaluate h'(3) if h(x) = f(x) xg(x)
To find h'(3) given h(x) = f(x) xg(x), we use the product rule of differentiation:
h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)
We are not given the functions f(x) and g(x), but we can use the given graphs to estimate their values near x = 3. Let's say that f(3) = 2 and g(3) = 5. We also need to estimate f'(3) and g'(3) in order to calculate h'(3). We can estimate these values using the slopes of the tangent lines to the graphs at x = 3.
Let's say that the slope of the tangent line to the graph of f(x) at x = 3 is 1, and the slope of the tangent line to the graph of g(x) at x = 3 is 3. Then we have:
f'(3) ≈ 1
g'(3) ≈ 3
Substituting these values into the product rule for h'(x), we get:
h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)
h'(3) = f'(3) 3 g(3) + f(3) g(3) + f(3) 3
h'(3) = (1)(3)(5) + (2)(5) + (2)(3)
h'(3) = 19
Therefore, h'(3) is approximately equal to 19, based on the given graphs and our estimates of f'(3) and g'(3).
To learn more about differentiation refer below
https://brainly.com/question/31492852
#SPJ11
There are 90 students in 5th Grade. 10% of them were absent today. How many students were present .
Answer:
81 students.
Step-by-step explanation:
If 10% of the 90 students were absent, then that means that 9 students were absent. To find the number of students present, simply subtract.
90 - 9 = 81.
- Hope this helped.
Donna wants to decorate her bulletin board she has 38 meters of green ribbon to go around the bulletin board and she has to use it all.
If you are asking for the perimeter of the bulletin board the answer below will be correct!
Answer:
Square option: 9.5 Meters
Rectangle option: see explanation below
Step-by-step explanation:
To find the perimeter you must add the lengths of all the sides. Assuming the bulletin board is a SQUARE all four sides are going to be equal. Therefore you can divide 38 by 4 to get the length of one side (aka 9.5 meters).
Assuming the bulletin board is a RECTANGLE changes things up. You can pretty much pick any combination of numbers that will add up to 19 (because if it is a rectangle there are two pairs of equal side lengths). You could do 1 + 18, 5+14, 8+11. The options are really endless
A pizza company charges $60 for 12 pizzas.
Using the above situation write a complete answer for the following questions.
li) Write the ratio
iii) Write the unit rate or m
iv)write the equation(y=Mx)
v) create a table from the above question
Answer:
Step-by-step explanation:
ii) ratio = 60:12 = 5:1
iii) unit rate is 5
iv) 60 = 12M
If an additional worker can produce an additional 20 units of output which can be sold for $4 per unit, what is the maximum wage that this perfectly competitive firm should pay to hire this worker?.
The maximum wage that this perfectly competitive firm should pay to hire this worker = $80
The options for this question
A) $80 minus the firm's profit markup
B) It depends on what the going wage rate is in the labor market.
C) $80
D) There is insufficient information to answer the question.
now, we need to find the maximum wage that this perfectly competitive firm should pay to hire this worker
given that
the additional worker can produce an additional 20 units of output and that can be sold for$4 per unit
maximum wage = additional units × sold per unit
= 20 × 4 = 80
the maximum wage = $80
To learn more about output:
https://brainly.com/question/20459166
#SPJ4
The preident of Doerman Ditributor, Inc. , believe that 30% of the firm' order come from firt-time cutomer. A random ample of 100 order will be ued to etimate the proportion of firt-time cutomer. (a) Aume that the preident i correct and p = 0. 30. What i the ampling ditribution of p for n = 100?
The probability that the sample proportion will be between .25 and .35 is 0.724.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are. The analysis of events governed by probability is called statistics. Explore all similar answers.
The probability that the sample proportion will be between .25 and .35 is 0.724
(a) The sampling distribution
The given parameters are:
n = 100 and p = 0.3
So, the sampling distribution of the study is:
\(\sigma = \sqrt{\frac{p * (1-p)}{n}}\)
This gives
\(\sigma = \sqrt{\frac{0.3 * (1- 0.3)}{100}}\)
σ = 0.046
The probability that the sample proportion will be between .20 and .40
p = p(0.2 < p < 0.4)
To do this, we make use of:
The z values at p = 0.2 and p = 0.4 for the distribution are -2.18 and 2.18.
So, we have:
Using the standard normal table, the result is:
p = 0.724
So, the probability that the sample proportion will be between .20 and .40 is 0.971
The probability that the sample proportion will be between .20 and .40
p = p(0.25 < p < 0.35)
To do this, we make use of:
The z values at p = 0.25 and p = 0.35 for the distribution are -1.09 and 1.09.
So, we have:
p = p(-1.09 < z < 1.09)
Using the standard normal table, the result is:
p=0.724
Hence, the probability that the sample proportion will be between .25 and .35 is 0.724.
To learn more about probability visit,
brainly.com/question/25870256
#SPJ4
pls help asap if you can!!!!
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
Learn more about alternate interior angles at
https://brainly.com/question/20344743
#SPJ1
to test the linear independence of the set of polynomials, row reduce the matrix which is formed by making each coordinate vector a column of the matrix. are the polynomials linearly independent?
This matrix has a pivot in every column, so the set of polynomials {p1, p2, p3} is linearly independent.
There are no scalars c1, c2, c3 (not all zero) that satisfy the equation c1p1(x) + c2p2(x) + c3p3(x) = 0 for all x.
To test the linear independence of the set of polynomials, we can make each coordinate vector a column of the matrix and perform row operations to transform the matrix to row-echelon form.
If the resulting matrix has a pivot in every column, then the set of polynomials is linearly independent.
If there is a column without a pivot, then the set of polynomials is linearly dependent.
To demonstrate, let's consider the set of polynomials {p1, p2, p3}.
where:
p1(x) = x2 - 3x + 2p2(x)
= -x2 + 2xp3(x)
= 3x2 - 4x - 1
We will create a matrix with the coordinate vectors of each polynomial as columns:
\($$\begin{pmatrix}1 & -1 & 3\\-3 & 2 & -4\\2 & 0 & -1\end{pmatrix}$$\)
Now, we will perform row operations to transform the matrix to row-echelon form:
\($$\begin{pmatrix}1 & -1 & 3\\0 & -1 & 5\\0 & 0 & 1\end{pmatrix}$$\).
Similar question on matrix.
https://brainly.com/question/30292829
#SPJ11
Acellus Find the distance between the two points. (-3,-4) (2,2) ✓ [?]
Answer:
√61
Step-by-step explanation:
→ Find the distance between y coordinates
2 --4 = 6
→ Find distance between x coordinates
2--3 = 5
→ Find distance
√6² + 5² = √36 + 25 = √61
which of the following concepts refers to the diminished sensitivity to a stimulus that occurs due to constant exposure to that stimulus?
Sensory adaptation can occur for any sensory modality, including vision, hearing, touch, taste, and smell.
The concept that refers to the diminished sensitivity to a stimulus that occurs due to constant exposure to that stimulus is called sensory adaptation. It is a physiological and psychological process that allows individuals to adapt to the constant stimuli in their environment, by reducing the response of sensory receptors to the stimuli over time.
This process is important for maintaining the sensitivity of the sensory system to changes in the environment, as it allows the system to focus on new and relevant stimuli while ignoring the constant and unchanging ones. Sensory adaptation can occur for any sensory modality, including vision, hearing, touch, taste, and smell.
To learn more about Sensory adaptation visit:https://brainly.com/question/12203465
#SPJ11
What type of argument is this? "All cubes are square. A dice is a cube. Therefore, a dice must be square."
The argument presented is an example of a fallacy known as affirming the consequent, which incorrectly assumes that if the consequent of a conditional statement is true, then the antecedent must also be true. It fails to consider other possibilities and overlooks the fact that not all square shapes are cubes.
The argument presented is an example of a fallacy known as affirming the consequent, which is a formal logical fallacy. This fallacy occurs when one assumes that if the consequent (the "then" part) of a conditional statement is true, then the antecedent (the "if" part) must also be true.
In this case, the argument incorrectly assumes that because all cubes are square (if cube, then square) and a dice is a cube, then the dice must be square. However, this reasoning is flawed. While it is true that all cubes are square, not all square shapes are cubes. Therefore, even though a dice is a cube, it does not necessarily mean that it must be square.
The argument fails to consider other possibilities, such as the fact that cubes can have other shapes besides squares, like rectangular cubes. This logical error highlights the importance of careful reasoning and avoiding fallacies when making arguments.
To know more about argument refer here:
https://brainly.com/question/2645376#
#SPJ11
29 cm
21 cm
What is the length of the missing leg?
a
centimeters
Step-by-step explanation:
Use phytogoras theorem
\( \sqrt{ {29}^{2} } - \sqrt{ {21}^{2} } \\ \\ \\ square \: root \: the \: whole \: eq \\ \\ \\ = 20cm\)
Hope this is correct and helpful
HAVE A GOOD DAY!
The geometric sequence is 4,-12,36,-108 . What is the common ratio
A. -3
B. -4
C. 3
D. 1/3
Answer:
-3
Step-by-step explanation:
4 x -3= -12 (a positive times a negative = a negative number)
-12 x-3 = 36 (a neg times a neg = positive num)/ the negs cancl eachother out
36 x -3 = -108 etc.
15. The line y = - 0.75x + 1.25 is tangent to a circle whose center is located at (2, 6) Find the tangent point and a second tangent point of a line with the same slope as the
The tangent point and a second tangent point of a line with the same slope as the given line are (2.67, 6) and (2.57, 6.1).
How to calculate the valueThe slope of the given line is -0.75.
The radius of the circle is |6 - 1.25| / -0.75 = 7.
The equation of the tangent line is y = -0.75x + c.
Substituting the coordinates of the center of the circle into this equation, we get 6 = -0.75 * 2 + c
Solving for c, we get c = 8.
The equation of the tangent line is y = -0.75x + 8.
The point of tangency is the point where the tangent line intersects the circle. To find the point of tangency, we need to solve the equation of the tangent line for x.
y = -0.75x + 8
6 = -0.75x + 8
-2 = -0.75x
x = 2.67
The point of tangency is (2.67, 6).
The second tangent point is the point where the tangent line intersects the circle at a different location. The direction of the tangent line is the same as the direction of the vector (-0.75, 1).
We can move the point of tangency a small distance in the direction of the tangent line by adding a small multiple of the vector (-0.75, 1) to the point of tangency.
Let's add a multiple of 0.1 to the point of tangency.
(2.67, 6) + 0.1 * (-0.75, 1)
= (2.57, 6.1)
The second tangent point is (2.57, 6.1).
Learn more about tangent on
https://brainly.com/question/30162650
#SPJ1
The line y = - 0.75x + 1.25 is tangent to a circle whose center is located at (2, 6) Find the tangent point and a second tangent point of a line with the same slope as the given line
A United States senator from Maine wants to find out the opinion of Maine voters on issues concerning education. The office of the senator sends out a survey to state residents who have contacted the senator in the past year. Is this sampling method random? Explain
It may seem random, but it's heavily biased toward those who participate in politics. It leaves out people who have not contacted the senator. A better method would be to look at voter registration data, and send out surveys to random people on the list.
Stacy spent £12 on ingredients for bread.
She made 18 loaves and sold them for £1.10 each.
Calculate her percentage profit.
Answer:
39.4 or 40 % depending on which place you round it to
Step-by-step explanation:
18 * 1.10= 19.8
(19.8 - 12) / 19.8 = 0.39393939...
so 39.4 or 40 % depending on which place you round it to
please help me
If 6 times a number = 3 times the same number,
What is that number?
Answer:
I'm pretty sure it's either 27, or 12.
Step-by-step explanation:
A variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called?
A variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called the dummy variable.
We know that,
A dummy variable is a binary variable that takes a value of 0 or 1.
In regression analysis, a dummy variable is one that takes only the value 0 or 1 to indicate the absence or presence of some categorical effect that may be expected to shift the outcome.
The number of dummy variables we must create is equal to k - 1, where k is the number of different values that the categorical variable can take on.
It is an artificial variable created to represent an attribute with two or more distinct categories/levels.
These are being used in order to sort out data into mutually exclusive groups.
It is used typically in time series analysis, response modelling, bio-medical studies, economic forecasting and credit scoring.
Therefore, a variable that takes on the values of 0 or 1 and is used to incorporate the effect of categorical variables in a regression model is called the dummy variable.
Learn more about the dummy variable here:
https://brainly.com/question/4528945
#SPJ4
Tamika selects two different numbers at random from the set $\{8,9,10\}$ and adds them. Carlos takes two different numbers at random from the set $\{3,5,6\}$ and multiplies them. What is the probability that Tamika's result is greater than Carlos' result
The probability that Tamika's result is greater than Carlos' result is $\boxed{\frac{4}{9}}$.
To solve this problem, we can start by finding all the possible sums that Tamika can get by adding two different numbers from the set $\{8,9,10\}$:
- $8+9=17$
- $8+10=18$
- $9+10=19$
Similarly, we can find all the possible products that Carlos can get by multiplying two different numbers from the set $\{3,5,6\}$:
- $3\times5=15$
- $3\times6=18$
- $5\times6=30$
Now we need to compare each sum with each product to see which ones satisfy the condition that Tamika's result is greater than Carlos' result. We can organize this information in a table:
| Tamika's sum | Carlos' product | Tamika's sum > Carlos' product? |
| ------------ | -------------- | ----------------------------- |
| 17 | 15 | Yes |
| 17 | 18 | No |
| 17 | 30 | No |
| 18 | 15 | Yes |
| 18 | 18 | No |
| 18 | 30 | No |
| 19 | 15 | Yes |
| 19 | 18 | Yes |
| 19 | 30 | No |
Out of the 9 possible combinations, there are 4 that satisfy the condition, namely when Tamika gets a sum of 17, 18 (twice), or 19 and Carlos gets a product of 15 or 18. Therefore, the probability that Tamika's result is greater than Carlos' result is $\boxed{\frac{4}{9}}$.
Learn more about probability here:
https://brainly.com/question/29381779
#SPJ11
PLS HELP!!! i can’t figure out this problem!!!
Answer:
7/9
Step-by-step explanation:
Evaluate the expression at x=8-. You can see from the graph that p(8-) = 3.
\(\displaystyle \lim_{x\to8^-}{\frac{3p(x)-2x}{15-3x}}=\frac{3(3)-2(8)}{15-3(8)}=\frac{-7}{-9}=\boxed{\frac{7}{9}}\)
which is the right answer because i am in the middle of two and can not dicide which to chose
Answer:
XZ
Step-by-step explanation:
Line segments are straight lines, not curves.
The only line is XZ, the rest are arcs
Answer:
Step-by-step explanation:
I believe that it’s yz
What add this /6=25/30
Answer:5/6
Step-by-step explanation:
simplify
Which expression is equivalent to 44 ⋅ 4−9?
4^13
4^5
4^-13
4^-5
The expression that is equivalent to 4⁴·4⁻⁹ is found to be 4⁻⁵. Hence option D is correct.
When multiplying exponential expressions with the same base, you add their exponents.
So, 4⁴⋅4⁻⁹ can be written as:
4⁴⁻⁹ = 4⁻⁵
Now, we know that a negative exponent means taking the reciprocal of the base raised to the positive exponent. Therefore,
4⁻⁵ = 1/4⁵
So, the expression 4⁴⋅4⁻⁹ is equivalent to the fraction 1 over 4 to the power 5. Therefore, the answer is 4⁻⁵.
To know more about mathematical expressions, visit,
https://brainly.com/question/1859113
#SPJ4
Complete question - Which expression is equivalent to 4⁴·4⁻⁹?
A. 4^13
B. 4^5
C. 4^-13
D. 4^-5
Part B: Now perform the calculations you set up in part A Round your answer to the nearest whole number It will take _ seconds for the device to release 154 grams of the gas
Step 01: To write the relation, begin using the relation for seconds.
\(\frac{1s}{0.25L}\)Step 02: To eliminate L, use the other relation, putting the liters in the numerator:
\(\frac{1L}{4.3g}\cdot\frac{1s}{0.25L}\)Step 03: Multiply everything by 154g.
\(154g\cdot\frac{1L}{4.3g}\cdot\frac{1s}{0.25L}\)Step 04: Multiply the numerators and the denominators.
\(\frac{154g\cdot1L\cdot1s}{1\cdot4.3g\cdot0.25L}\)Step 05: Multiply the numbers and simplify the units that are in the numerator and in the denominator.
\(\begin{gathered} \frac{154\cdot1\cdot1g\cdot L\cdot s}{1\cdot4.3\cdot0.25\cdot g\cdot L} \\ \frac{154s}{1.075} \\ =143.3s \end{gathered}\)Answer: It will take 143.3 seconds.
PLEASE HURRY!!!
The probability of landing on blue when spinning a spinner is 4/5 choose the likelihood that best describes the probability of this event
A. Neither likely nor unlikely
B. Unlikely
C. Certain
D. Likely
Answer:likely tell me if im wrong
Probability helps us to know the chances of an event occurring. The likelihood that best describes the probability of this event is Likely.
What is Probability?Probability helps us to know the chances of an event occurring.
\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)
Given the probability of landing on blue when spinning a spinner is 4/5, therefore, there are 80% chances that the spinner will land on blue.
Hence, the likelihood that best describes the probability of this event is Likely.
Learn more about Probability:
https://brainly.com/question/795909
#SPJ2
Max works at a local car wash. he can wash 9 cars every 2 hours. at this rate, how many cars will he be able to wash in 6 hours?
Max will be able to wash 27 cars in 6 hours. This means that his washing rate is 4.5 cars per hour (since 9 cars divided by 2 hours is equal to 4.5 cars per hour).
We can start by figuring out how many cars Max can wash in one hour.
To do this, we can use a proportion:
9 cars / 2 hours = x cars / 1 hour
Solving for x, we get:
x = (9 cars / 2 hours) * (1 hour / 1)
x = 4.5 cars/hour
So we know that Max can wash 4.5 cars in one hour.
To find out how many cars he can wash in 6 hours, we can multiply the number of cars he can wash in one hour by the number of hours he will be working:
4.5 cars/hour * 6 hours = 27 cars
Therefore, Max will be able to wash 27 cars in 6 hours.
Max works at a local car wash and he can wash 9 cars every 2 hours.
Now, we need to figure out how many cars Max can wash in 6 hours. To do this, we can use the formula:
Number of cars = Rate * Time
where Rate is the number of cars Max can wash per hour, and Time is the number of hours he will be working.
So, in this case, we have:
Number of cars = 4.5 cars/hour * 6 hours
Number of cars = 27 cars
Therefore, Max will be able to wash 27 cars in 6 hours.
To know more about rate visit :-
https://brainly.com/question/25565101
#SPJ11
GIVNING BRAINLIST
Function "p" is in the form y = a\(x^{2}\) + c. If the values of "a" and "c" are both less than 0, which graph could represent "p"?
A) Graph A
B) Graph B
C) Graph C
D) Graph D
In which number is the value of the digit 4 equal to 40 ? A. 34,589 B. 17,524 C. 23,421 D. 95,247
The value of a digit in a number depends on its place value. The digit 4 will have a value of 40 if it is located in the tens place. The correct answer is option B: 17,524.
Explanation:In the context of place value in mathematics, the value of a digit depends on its position in the number. The digit 4 would have a value of 40 if it is located in the tens place. Therefore, the correct answer to this question would be option B: 17,524, where the digit 4 is in the tens place, giving it a value of 40.
Learn more about Place Value here:https://brainly.com/question/35447631
#SPJ3
NEED HELP ASAP
Lucy pays $275 in advance on her account at the athletic club. Each time she uses the club, $5 is
deducted from the account. Write a linear function that gives the value remaining in her
account after x visits to the club. Find the value remaining in the account after 11 visits.
Answer:
Step-by-step explanation: