Answer:
I don't understand the first one
Could someone help me on this please
Answer:
4, 0, 3
Step-by-step explanation:
You want to know which numbers are possible values of m, given a graph of the values of m.
Interpreting a number line graphThe graph shows an empty circle at m=6, and an arrow extending to the left from that point. The empty circle means that m=6 is not a possible value of m.
The arrow extends through possible values of m, and extends to negative infinity. That means m may have any value less than 6. Such values on the offered list are ...
4, 0, 3
__
Additional comment
The values 6, 7, 9 are not covered by the dot or the arrow, so are not possible values of m.
Answer:
0, 3, 4
Step-by-step explanation:
When the circle is open and pointing to the left, it means that the variable is less than the number the circle is at. In this case, it means that the variable is less than 6, so you would select all values that are less than 6!
I hope I helped!
Which of the following numbers is closest to 8?
O A. 166
O B. 62
O c. 165
O D. 761
Answer:
B.) 62
Step-by-step explanation:
Answer:
B. 62
Step-by-step explanation:
It is not as far away as 166.
Similar to how 6 is closer to 20 than it is 100.
The length of a rectangle i 2cm greater than the width of the rectangle. The perimeter of the rectangle i 24cm
The length of the rectangle is 7 cm and the width is 5 cm.
Perimeter of a rectangle:The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.
The formula for the Perimeter of the rectangle is given by
Perimeter = 2( Length + Width )Here we have
The length of a rectangle is 2cm greater than the width of the rectangle
And perimeter of the rectangle = 24 cm
Let x be the width of the rectangle
From the given data,
Length of the rectangle = (x + 2) cm
As we know Perimeter of rectangle = 2(Length+width)
=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)
From the given data,
Perimeter of rectangle = 24cm
=> 2(2x +2) = 24 cm
=> (2x +2) = 12 [ Divided by 2 into both sides ]
=> 2x = 12 - 2
=> 2x = 10
=> x = 5 [ divided by 2 into both sides ]
Length of rectangle, (x+2) = 5 + 2 = 7 cm
Therefore,
The length of the rectangle is 7 cm and the width is 5 cm.
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Consider the curve defined by-8x^2 + 5xy + y^3 = -149a. find dy/dxb. write an equation for the tangent line to the curve at the point (4,-1)c. There is a number k so that the point (4.2,k) is on the curve. Using the tangent line found in part (b), approximate the value of kd. Write an equation that can be solved to find the actual value of k so that the point (4.2,k) is on the curvee. Solve the equation found in part (d) for the value of k
The equation that can be solved to find the value of k is: -8(4.2)^2 + 5(4.2)y + y^3 = -149a.
Find out the derivative of the curve?To find the derivative dy/dx of the curve defined by the equation -8x^2 + 5xy + y^3 = -149a, we need to use implicit differentiation.
Differentiating both sides of the equation with respect to x, we get:
d/dx (-8x^2) + d/dx (5xy) + d/dx (y^3) = d/dx (-149a)
Simplifying, we have:
-16x + 5y + 5xy' + 3y^2y' = 0
Rearranging and factoring out y', we get:
y'(5x + 3y^2) = 16x - 5y
Finally, we can solve for y' (dy/dx) by dividing both sides by (5x + 3y^2):
dy/dx = (16x - 5y) / (5x + 3y^2)
Now let's find the equation of the tangent line to the curve at the point (4, -1).
We have the point (4, -1) on the curve, so we can substitute these values into the equation:
dy/dx = (16(4) - 5(-1)) / (5(4) + 3(-1)^2)
= (64 + 5) / (20 + 3)
= 69 / 23
= 3
Using the slope-intercept form of a line (y = mx + b), where m is the slope, we have:
y = 3x + b
Substituting the coordinates of the point (4, -1), we can solve for b:
-1 = 3(4) + b
-1 = 12 + b
b = -13
Therefore, the equation of the tangent line to the curve at the point (4, -1) is y = 3x - 13.
Now, we need to find a value of k such that the point (4.2, k) lies on the curve.
Substituting x = 4.2 into the equation -8x^2 + 5xy + y^3 = -149a, we have:
-8(4.2)^2 + 5(4.2)y + y^3 = -149a
Simplifying, we get:
-141.12 + 21y + y^3 = -149a
To approximate the value of kd using the tangent line, we can use the equation y = 3x - 13 and substitute x = 4.2:
k = 3(4.2) - 13
k ≈ 0.6
So, the approximate value of kd is 0.6d.
To find the actual value of k, we can substitute x = 4.2 and solve the equation -8x^2 + 5xy + y^3 = -149a for y:
-8(4.2)^2 + 5(4.2)y + y^3 = -149a
Simplifying, we get:
-141.12 + 21y + y^3 = -149a
This equation can be solved to find the actual value of k for the point (4.2, k) on the curve. The value of k will depend on the specific value of a given in the problem.
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Help me I need help rn
Answer:
I thinkkk Roses -11 feet per min and Lucy is 10 feet per min
Step-by-step explanation:
1.8/0.087-0.947+2.2/0.044
Answer:
The answer is 2022537/290000
problem:
how to adding and subtracting polynomials worksheet ?
Adding and subtracting polynomials worksheets assist pupils in becoming acquainted with the idea of polynomial addition and subtraction.
Adding and subtracting polynomial worksheets provide pupils with a platform to access a variety of well-structured problems. Because these worksheets progress in complexity, they are simple to use and allow pupils to reinforce their concepts.
Children must study in accordance with their learning curve, and these worksheets are designed to allow young brains to work at their own speed. These math worksheets also address the logical and reasoning aspects of arithmetic, assisting pupils in real-life situations.
Students may have a better grasp and explore these worksheets more quickly with the aid of pictures. These worksheets' step-by-step approach helps pupils better comprehend ideas and reinforce their comprehension.
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Is the slope of AC the same as the slope of DF? Explain
Answer:
yes
Step-by-step explanation:
because df is -2/3 and ac is -6/9 which is the same as -2/3
11. 11 - a when a = -3
12.x^3 when x =-3
pls helppp step by step
Answer:
11) 14
12) -27
Step-by-step explanation:
11-a when a=-3
Plug in -3 into the equation
11-(-3)
A negative times a negative becomes a positive
So the equation becomes 11+3
Answer is 14
x³ when x=-3
Plug in -3 into the equation
-3³
Solve, which should give you -27
A zebra can run at a constant speed of 0.6 miles per minute. How far can a zebra run in 30 minutes? Choose the equation that could be used to answer this question. d=(0.6)(0.5)
I think the options were omitted, so i will go ahead and solve. From my answer, you can choose the right option
Answer:Equation to solve the question
=Distance = Speed x time
=d= 0.6 x 30
Distance , d= 18 miles
Step-by-step explanation:
Step 1
Speed = distance / time
Therefore Distance = Speed x time
Given that speed = 0.6 miles per minute and
Time=30 minutes
Step 2
Distance ,d= 0.6 miles per minute x 30minutes
d= 0.6 x 30
= 18miles
A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of
This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.
This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.
This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.
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John is making apple pies and apple cobblers to sell at his stand at the Farmer's Market. A pie uses 4 cups of apples and 3 cups of flour. A cobbler uses 2 cups of apples and 3 cups of flour. John has 16 cups of apples and 15 cups of flour.Which inequality shows the constraint on the amount of apples John has to make pies
John is making apple pies and apple cobblers to sell at his stand at the Farmer's Market.
A pie uses 4 cups of apples and 3 cups of flour, and a cobbler uses 2 cups of apples and 3 cups of flour. John has 16 cups of apples and 15 cups of flour.The inequality that shows the constraint on the amount of apples John has to make pies can be calculated as follows:Let's assume that John needs to make x pies. John will need 4x cups of apples and 3x cups of flour. The total number of cups of apples used by pies is 4x cups, and John has 16 cups of apples. We can write the constraint inequality using this information as:4x ≤ 16.
This is because John cannot use more than 16 cups of apples. Solving for x gives:x ≤ 4. Thus, John cannot make more than 4 apple pies with the given number of apples.In conclusion, the constraint inequality on the amount of apples John has to make pies is 4x ≤ 16. This means that John cannot make more than 4 apple pies with the given number of apples.
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The net of a cylinder is shown below.
a) Work out the length x, in mm.
b) What is the total surface area of the
cylinder, in mm²?
Give your answers in terms of .
5 mm
5 mm
X
3 mm
Not drawn accurately
(a) The length of x is x = 10π mm.
(b) The area of the net cylinder is A = 80π mm².
Given information:
The radius of the sphere is 5 mm.
(a) To find the value of x:
The value of x is described as the circumference of the sphere.
So,
x = 2πr
Here, r = 5 mm.
x = 2π(5)
x = 10π mm.
(b) To find the area of the net cylinder,
use the formula described below,
A = 2πr² + hx.
Here, h = 3 mm, and x = 10π.
A = 2π(5)² + (3)(10π)
A = 50π + 30π
A = 80π mm².
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Find the perimeter. Area=5.612x10^14
9.2x10^7
Answer:
1.962×10^8 cm
Step-by-step explanation:
The area and perimeter formulas can be use to find the perimeter of this rectangle, given its area and the length of one side.
A = LW
P = 2(L +W)
__
Solving the area formula for width, we have ...
W = A/L
Using that in the perimeter formula, we find the perimeter to be ...
P = 2(L +W) = 2(L +A/L)
Using the given values for area and length, we find the perimeter is ...
P = 2(9.2×10^7 +5.612×10^14/(9.2×10^7)) = 1.962×10^8 . . . cm
The perimeter of the rectangle is 1.962×10^8 cm, or 1962 km.
_____
Additional comment
The width is 6.1×10^6 cm, or 0.61×10^7 cm. Then the sum of length and width is (9.2 +0.61)×10^7 = 9.81×10^7 cm. The perimeter is twice that, or 19.62×10^7 cm = 1.962×10^8 cm. 1 km = 10^5 cm, so this is 1.962×10^3 km, or 1962 km.
Your scientific calculator or spreadsheet can use and present numbers in scientific notation directly. The "E" notation is used in place of "×10^". (This notation is an artifact of the earliest computer languages.)
16)The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan.Which statement describes the x-intercept of the graph? A)The x-intercept is 60, which represents the initial balance in dollars of the loan. B)The x-intercept is 27,000, which represents the initial balance in dollars of the loan. C)The x-intercept is 60, which represents the number of monthly payments needed to repay the loan. D)The x-intercept is 27,000, which represents the number of monthly payments needed to repay the loan.
The x-axis of the graph represents the number of monthly payments made, hence, the x - intercept which marks the intersection point of the slope line with the x - axis is 60 and gives information about the number of monthly payments needed to repay the loan.
The x - intercept is the value at the point which the slope or regression line intersects the x - axis, this point on then graph given is 60.The x - intercept gives information about the variable represented on the x - axis of a graph which is the number of monthly repayments needed to cover the loan. The value of the x-intercept can also be interpreted as the value of x when y = 0 ; hence, the count of monthly payment required to cover the loan.Therefore, the value of the x-intercept is 60 and represents the number of monthly payments needed to cover the loan.
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A pool membership during the summer
costs $7 per week. The total cost of a membership is given by
f(x) = 7x. The pool also rents out lockers for $2 per week. The
total cost of a membership and a rental is given by g(x) = 9x.
What is the difference between a 12-week membership
if you get a locker and if you don't? Explain how you
got your answer.
Suppose a random sample of size 50 is selected from a population of values with a standard deviaiton of 10. What will be the standard error of the sample mean if the population size is 500
If the population size is 500, then the standard error of the sample mean is approximately 0.447.
The standard error of the sample mean is a measure of how much the sample mean differs from the true population mean on average. The formula for calculating the standard error of the sample mean is:
SE=σ/√n
where σ is the standard deviation of the population, n is the sample size.
Using the given values, we can calculate the standard error of the sample mean as follows:
σ = 10
n = 50
SE = σ/√n = 10/√50 = 1.41
When the population size is very large relative to the sample size (n), the standard error of the sample mean can be approximated as:
SE=σ/√N
where N is the population size.
Using the given values, we can calculate the approximate standard error of the sample mean as follows:
N = 500
σ = 10
SE = σ/√N = 10/√500 = 0.447
Thus, the standard error of the sample mean, when the population size is 500, is approximately 0.447.
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Which is the graph of f(x) = 3 (2/3)x ?
Step-by-step explanation:
.....................
2+3.3x-1.7=5.25 solve for x
Answer:
1.5
Step-by-step explanation:
2+3.3x-1.7=5.25
=> 3.3x = 5.25 +1.7 -2
=> 3.3x = 6.95 - 2
=> 3.3x = 4.95
\( = > x = \frac{4.95}{3.3} \)
\( = > x = \frac{49.5}{33} \)
=> x = 1.5 (Ans)
III. Short Questions. 1. [15 pts] Define the following. Use examples to explain your answer ( 3 pts each) a. Central Limit Theorem b. Efficient Estimator c. Consistent Estimator d. Significance Level
a) It suggests that when we take repeated samples from a population and calculate the means, those means will tend to follow a normal distribution. b) It provides the most precise and accurate estimate of the parameter. c) As we collect more data, the estimate becomes more and more accurate. d) It represents the probability of rejecting the null hypothesis when it is actually true.
a. Central Limit Theorem:
The Central Limit Theorem states that the sampling distribution of the mean of a sufficiently large number of independent and identically distributed random variables will approximate a normal distribution, regardless of the shape of the original population distribution. In simpler terms, it suggests that when we take repeated samples from a population and calculate the means, those means will tend to follow a normal distribution.
Example: Let's say we are interested in the heights of adult males in a particular city. We take multiple random samples of different sizes from the population, calculate the means of each sample, and create a histogram of those means. According to the Central Limit Theorem, the histogram of sample means will resemble a bell-shaped normal distribution, even if the individual heights in the population do not follow a normal distribution.
b. Efficient Estimator:
An efficient estimator is a statistical estimator that achieves the smallest possible variance among all unbiased estimators for a given parameter. In other words, it provides the most precise and accurate estimate of the parameter.
Example: In regression analysis, the ordinary least squares (OLS) estimator is known to be efficient for estimating the regression coefficients. It minimizes the sum of squared residuals and provides the most efficient estimates of the coefficients compared to other unbiased estimators.
c. Consistent Estimator:
A consistent estimator is a statistical estimator that converges to the true value of the parameter being estimated as the sample size increases. In simple terms, as we collect more data, the estimate becomes more and more accurate.
Example: Suppose we are interested in estimating the population mean of a certain variable. If we repeatedly sample from the population and calculate the sample means, a consistent estimator will show that as the sample size increases, the sample means will converge to the true population mean.
d. Significance Level:
The significance level, often denoted as alpha (α), is the threshold used in hypothesis testing to determine the level of evidence required to reject the null hypothesis. It represents the probability of rejecting the null hypothesis when it is actually true.
Example: Suppose we conduct a hypothesis test to determine if a new drug has a significant effect on reducing blood pressure. We set the significance level at 0.05. If the resulting p-value is less than 0.05, we reject the null hypothesis and conclude that the drug has a significant effect on reducing blood pressure. The significance level of 0.05 indicates that we are willing to accept a 5% chance of making a Type I error (rejecting the null hypothesis when it is true) in favor of detecting a significant effect if it exists.
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Data packets arrive to a server according to a Poisson process of rate one packet per second.what is the probability that no packets arrive in 1 minute?
The probability that no packets arrive in 1 minute is e^(-60), or approximately 8.75651 * 10^(-27).
The Poisson process is a counting process that counts the number of events that occur in a given time interval. It is characterized by the rate parameter λ, which represents the average number of events that occur in a unit of time.
The probability that no events occur in a given time interval is given by the Poisson probability mass function:
P(X = 0) = (λ^0 * e^(-λ))/0! = e^(-λ)
Since the rate parameter λ is equal to one packet per second, and the time interval is 1 minute (or 60 seconds), we can plug these values into the formula:
P(X = 0) = e^(-λ * t) = e^(-(1)(60)) = e^(-60)
Therefore, the chance of having no packets arriving in 1 minute is equal to the exponent of -60, which is roughly equal to 8.75651 * 10^(-27).
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pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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A manufacturer has a steady annual demand for 15,000 cases of sugar. It costs $10 to store 1 case for 1 year, $30 in set up cost to produce each batch, and $16 to produce each case. Find the number of cases per batch that should be produced to minimize cost.
The number of cases per batch that should be produced to minimize cost is: 300 units
How to find the economic order quantity?The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.
The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.
Thus:
Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)
Solving gives:
√((2 * 30 * 15000)/10)
= √90000
= 300 units
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Find the mean of the given probability distribution.
x P(x)
0 0.42
1 0.12
2 0.34
3 0.05
4 0.07
Ou = 1.23
Oμ = 1.65
Oμ = 1.55
Ou = 1.13
The mean of the given set of data is 1.23.
What is mean?Mean is the average of the given set of data.
Given is the probability distribution table.
We can write the mean from the probability distribution table as -
M = ∑ x.p(x)
M = 0 + (1 x 0.12) + (2 x 0.34) + (3 x 0.05) + (4 x 0.07)
M = 0 + 0.12 + 0.68 + 0.15 + 0.28
M = 1.23
Therefore, the mean of the given set of data is 1.23.
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An automatic machine in a manufacturing process is operating groperly if the iengths of an important subcomponent are normally distributed with a mean of izal cri and a otandard deviation of 5.6 cm. A. Find the probability that one selected subcomponent is longer than 122 cm, Probability = B3. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 122 cm. Probability win C. Find the probabilify that if 3 are randomly selected, ail 3 have lengths that exceed 122 cm. Probability =
A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.
z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)
Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.
B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.
The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.
Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm
Now we can calculate the z-score for a mean length of 122 cm:
z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)
Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.
C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.
Probability = (0.9999)^3 ≈ 0.9997
Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.
Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.
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110 +0.70x = 50+ 0.90x
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 300}}}}}\)
Step-by-step explanation:
\( \sf{110 + 0.70x = 50 + 0.90x}\)
Move 0.90x to left hand side and change it's sign
⇒\( \sf{0.70x - 0.90x + 110 = 50}\)
Move 110 to right hand side and change it's sign
⇒\( \sf{0.70x - 0.90x = 50 - 110}\)
Collect like terms
⇒\( \sf{ - 0.2x = 50 - 110}\)
Calculate
⇒\( \sf{ - 0.2x = - 60}\)
Divide both sides of the equation by -0.2
⇒\( \sf{ \frac{ - 0.2x}{ - 0.2} = \frac{ - 60}{ - 0.2} }\)
Calculate
⇒\( \sf{x = 300}\)
Hope I helped!
Best regards!!
solution National Cookie Company revisited (see Problem 11 on Problem Set 3). Suppose that National is concerned that the process by which the mean weight level is adjusted is not working accurately. To investigate this, National decides to set the mean weight at 25.6 grams and then take a sample of 150 cookies from the output of the production process. National is still willing to assume that the standard deviation is 0.6 grams per cookie. Each of the 150 cookies in the sample is weighed on a very precise scale, and the average weight for the 150 cookies is 25.2 grams. Based on this data, find a 95% interval for the mean weight level. What do you think about the accuracy of the adjustment of the mean weight level
A 95% confidence interval for the mean weight level based on a sample is (25.504, 25.67)
We know that, the confidence interval is:
\(\bar{x}\pm z\frac{\sigma}{n}\)
where,
\(\bar{x}\) is the sample mean.
z is the critical value.
n is the sample size.
σ (OR s) is the standard deviation for the population.
In this question, we need to calculate the 95% confidence interval for an experiment that found the sample mean temperature for a certain city in August was 101.82, with a population standard deviation of 1.2
The critical value is z = 1.96
We have been given x¯ = 25.6, σ = 0.6 and n = 150
\(\Rightarrow \bar{x}+ z\frac{\sigma}{\sqrt{n} } \\\\= 25.6+ 1.96\frac{0.6}{\sqrt{150} } \\\\=25.67\)
And
\(\Rightarrow \bar{x}- z\frac{\sigma}{\sqrt{n} } \\\\= 25.6- 1.96\frac{0.6}{\sqrt{150} } \\\\=25.504\)
Required interval is (25.504, 25.67)
Thus, the mean weight level( 25.6 grams) is accurate.
Therefore, a 95% confidence interval for the mean weight level based on a sample is (25.504, 25.67)
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What kind of sequence is this?
1, 10, 100, 1,000, ... arithmetic Submit geometric both neither
Answer:
Geometric
Step-by-step explanation:
1, 10, 100, 1000
Divide 10 by 1
10 ÷ 1
= 10
This sequence is going up by ×10, so this means it is geometric sequence, not arithmetic. Arithmetic sequences go up by a fixed amount (addition). Geometric by a consistent factor (multiplication).
Have a good rest of your day! :)
Answer:
geometric sequence
Step-by-step explanation:
A geometric sequence is when a value goes into another by always multiplying or dividing by the same number. In this instance it is by 10.
1st value: 1
2nd value: 10 (1 × 10 = 10)
3rd value: 100 (10 × 10)
etc.
please help mè to this
Science
Answer:
Wooden popsicles, Tissues.,glassbottles, juice cans, paper cups
Delanie deposited $3,000 into an account that earns 2. 5% interest compounded annually. After
2 years, how much interest in dollars and cents will her investment pay?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct
place value.
After 2 years, Delanie's investment will earn approximately $153.13 in interest compounded annually .
To calculate the interest earned on Delanie's investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the final amount (including principal and interest)
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times interest is compounded per year
t = the number of years
In this case, Delanie deposited $3,000, the interest rate is 2.5% (or 0.025 as a decimal), the interest is compounded annually (n = 1), and the investment period is 2 years.
Plugging the values into the formula, we have:
A = 3000(1 + 0.025/1)^(1*2)
A = 3000(1.025)^2
A ≈ 3,153.13
To find the interest earned, we subtract the initial principal amount from the final amount:
Interest = A - P
Interest = 3,153.13 - 3,000
Interest ≈ $153.13
Therefore, Delanie's investment will earn approximately $153.13 in interest.
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