If we want to estimate 97% confidence interval for the true proportion of Americans who support gun control in 2019 with a 0.27 margin of error, then 16 Americans must be surveyed.
Given,
The confidence level =97%
Critical z value of 97% confidence interval =2.170
Margin error E= 0.27
We know,
Sample size n= \(0.25(\frac{z}{E})^{2}\)
Substitute the values in the equation
\(n=0.25(\frac{2.170}{0.27})^{2}\\ n=0.25( 8.03)^{2}\)
n=16.12
n≈16
Hence, if we want to estimate 97% confidence interval for the true proportion of Americans who support gun control in 2019 with a 0.27 margin of error, then 16 Americans must be surveyed.
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lect all that apply which of the following statements describe the poisson distribution? select all that apply multiple select question. the probability of the event is proportional to the interval size. the probability of an individual event occurring is quite large. the intervals do not overlap and are independent. the random variable is the number of occurrences during an interval.
The Poisson distribution is a probability distribution that describes the number of independent occurrences of an event in a fixed interval of time or space.
In this case, the random variable is the number of occurrences during an interval. Therefore, the statement "the random variable is the number of occurrences during an interval" applies to the Poisson distribution. Another statement that applies to the Poisson distribution is "the probability of the event is proportional to the interval size". This means that the probability of observing k events in a fixed interval is proportional to the length of the interval. However, the statement "the probability of an individual event occurring is quite large" does not describe the Poisson distribution. In fact, the Poisson distribution assumes that the probability of an individual event occurring is small, but the number of events is large. Finally, the statement "the intervals do not overlap and are independent" is not a defining characteristic of the Poisson distribution, although it is often assumed in practical applications. In summary, the Poisson distribution is a probability distribution that models the number of independent occurrences of an event in a fixed interval. The probability of the event is proportional to the interval size, and the random variable is the number of occurrences during an interval.
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Please help me thank you:))
Dilation because it could become bigger or smaller so it would be similar but not congruent.
find value of each of the following 13-(54)
Answer:
-41
Step-by-step explanation:
13 - (54) simplifies to 13 - 54, which in turn is -41.
Consider the process of grocery delivery to the customers after online ordering. Please respond the following questions based on the information provided below.
4-1. If the workday is 8 hours, and if it takes 30 minutes to deliver each order, calculate the daily rate of order delivery. Show how you obtained this number
4-2. If orders are received at the grocery store at a rate of 3 per hour, considering that prep for delivery takes 15 minutes, how many orders in average will be awaiting prep at any point in time at this grocery store?
4.1 The daily rate of order delivery is 16 orders.
4.2 On average, there will be 0.75 orders awaiting prep at any point in time at this grocery store.
How to calculate the value4.1 Given that each order takes 30 minutes to deliver, we can calculate the number of orders delivered per hour:
Number of orders delivered per hour = 60 minutes / 30 minutes per order = 2 orders per hour
Number of orders delivered per day = Number of orders delivered per hour * Number of hours in a workday
Number of orders delivered per day = 2 orders per hour * 8 hours
= 16 orders per day
4-2. Given that orders are received at a rate of 3 per hour and each order requires 15 minutes of prep time, we can calculate the average number of orders awaiting prep at any point in time.
Average number of orders awaiting prep = (Arrival rate * Prep time) / 60
Average number of orders awaiting prep = (3 orders per hour * 15 minutes) / 60 minutes
= 0.75 orders
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PLEASE HELP MARKING BRAINLEIST JUST ANSWER ASAP AND BE CORRECT
Answer:
w = 28 miles
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides.
The sum of the lengths of the sides is w + 28 + 28.
The perimeter is 84.
w + 28 + 28 must equal 84.
w + 28 + 28 = 84
Now we solve for w.
Add 28 and 28.
w + 56 = 84
Subtract 56 from both sides.
w = 28
Answer: w = 28 miles
How to multiply 28 and 36 using set of steps
Answer:
Either do 28+28+28, etc. 38 times, or follow the diagram I attached.
If you want to know more about what I did in the attachment, just ask <3
Answer:
Start by multiplying the ones: 6 times 28 is 168. Next, multiply the tens: 30 times 28 is 840. Add the products to get 1,008.
Step-by-step explanation:
Point M is on line segment LN. Given LM=7 and MN=10, determine the length LN.
Answer:
\(\huge \boxed{17}\)
Step-by-step explanation:
Point M is on the line segment LN.
LM = 7
MN = 10
LN = LM + MN
LN = 7 + 10 = 17
The value of the line segment LN is 17.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that point, M is the online segment LN. Given LM=7 and MN=10,
The value of the line segment will be calculated as:-
Point M is on the line segment LN.
LM = 7
MN = 10
LN = LM + MN
LN = 7 + 10 = 17
Therefore, the value of the line segment LN is 17.
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The circumference of a circle is 98.596 millimeters. What is the radius of the circle? Use 3.14 for π.
197.2 mm
49.3 mm
31.4 mm
15.7 mm
Answer: D) 15.7
Step-by-step explanation:
Start with the formula C=2 πr
Then solve for r r=C2π = 98.62·π = 15.69(7)204
The radius of the circle is 15.7 mm.
What is Circumference?The route or boundary that encircles any shape in mathematics is defined by the shape's circumference.
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle.
We have,
The circumference of Circle = 2πr
Also, The circumference of a circle is 98.596 millimeters.
So, circumference of Circle = 2πr
98.596 = 2πr
98.596 = 6.28r
r= 98. 596 / 6.28
r = 15.7 mm
Thus, the radius is 15.7 mm.
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At steady state condition, the temperature distribution in a large thin plate with uniform surface temperature will be:
- Logarithmic b- Hyperbolic - Parabolic d. Linear
At steady state conditions, the temperature distribution in a large thin plate with uniform surface temperature will be parabolic. This is due to the fact that heat flows from hotter regions towards colder regions until the temperature across the entire plate reaches equilibrium.
In other words, the temperature distribution throughout the plate will be such that the rate of heat transfer at any point within the plate is equal to the rate of heat transfer at any other point within the plate.
The parabolic temperature distribution can be mathematically represented by an equation of the form T(x,y) = T0 - (Q/4k)(x^2 + y^2), where T0 is the uniform surface temperature of the plate, Q is the rate of heat input per unit area, k is the thermal conductivity of the material, and x and y are the distances from the center of the plate in the two orthogonal directions.
This equation shows that the temperature distribution is parabolic, with the highest temperature at the center of the plate and decreasing temperatures towards the edges. This type of temperature distribution is commonly observed in many engineering applications involving heat transfer in thin plates, such as in electronics cooling or in the design of heat exchangers.
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855 online photos: a poll surveyed internet users and found that of them had posted a photo or video online. can you conclude that more than half of internet users have posted photos or videos online? use the level of significance and the critical value method.
Since the calculated test statistic (2.836) is greater than the critical value (1.645), we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that more than half of internet users have posted photos or videos online.
To test the hypothesis that more than half of internet users have posted photos or videos online, we can use a one-sample proportion test. Let p be the true proportion of internet users who have posted photos or videos online. The null and alternative hypotheses are:
H0: p <= 0.5
Ha: p > 0.5
We will use a significance level of 0.05.
Using the given information, we have:
n = 855
x = (56/100) * 855
= 479.6 (rounded to nearest whole number, 480)
The sample proportion is:
p-hat = x/n
= 480/855
= 0.561
The test statistic is:
z = (p-hat - p0) / √(p0 * (1 - p0) / n)
where p0 is the null proportion under the null hypothesis. We will use p0 = 0.5.
z = (0.561 - 0.5) / √(0.5 * (1 - 0.5) / 855)
= 2.836
Using a standard normal distribution table or calculator, the critical value for a one-tailed test at a 0.05 level of significance is approximately 1.645.
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How do you do 5a) and 5b)????? Please help!!!!
Answer:
\(21.0 { { {1221220 = 223jn}^{n \: \: \: \: \: \: \: \: \: \: \: \: \tan( \beta \beta \beta \beta \beta \beta \pi\pi) } }^{2} }^{2} \times \frac{?}{?} \)
Answer:
31° F and 67° F
Step-by-step explanation:
(a)
When t = 0 then
f(0) = 31 + \(\frac{0}{100}\) = 31 + 0 = 31° F
(b)
When t = 10 , then
f(10) = 31 + \(\frac{40(10^3)}{10^3+100}\) = 31 + \(\frac{40000}{1100}\) = 31 + 36.36... ≈ 67° F
pls help 60 POINTS ASAP
Answer:
4 by 5 inch rectangle
Step-by-step explanation:
Answer:
4 by 5 inch rectangle
Step-by-step explanation:
Loading . . .
Complete the statement to describe the expression (a+b+c)(d+e+f)
The expression consists of _ factors, and each factor contains _ terms.
Fill in the blanks.
Answer:
Please check the explanation.
Step-by-step explanation:
We know that if we multiply 3 and 4, we get 12.
In other words, 3 × 4 = 12
Thus, 3 and 4 are factors of 12.
now
Given the expression
\((a+b+c)(d+e+f)\)
The given expression consists of two factors which are:
(a+b+c)(d+e+f)We also know that an expression can consist of terms, a term may be a constant or a variable. It can be both as well.
For example, in the expression, 4b + 2, 4b and 2 are terms.
so,
The factor (a+b+c) consists of 3 terms. These terms are a, b and c.Similarly, the factor (d+e+f) consists of 3 terms. These terms are d, e, and f.we have sample data related to a survey completed for email, detecting phishing or non-phishing attempts. 23% of our 80 sample values reflected phishing attempts, while the remainder did not. what value should we use for the center of a confidence interval related to this data?
This represents the proportion of phishing attempts in your sample data, while the remaining 1 - 0.225 = 0.775 represents the proportion of non-phishing attempts.
To find the center of the confidence interval for this survey data, you'll want to use the sample proportion (p-hat). Here's a step-by-step explanation:
1. Determine the sample size (n): There are 80 sample values in the survey.
2. Calculate the number of phishing attempts: 23% of 80 is phishing attempts. To find this value, multiply 0.23 by 80: (0.23 * 80) = 18.4. Since we can't have a fraction of an attempt, round to the nearest whole number: 18 phishing attempts.
3. Calculate the sample proportion (p-hat): Divide the number of phishing attempts (18) by the sample size (80): (18 / 80) = 0.225.
So, the value you should use for the center of the confidence interval related to this data is the sample proportion, p-hat = 0.225. This represents the proportion of phishing attempts in your sample data, while the remaining 1 - 0.225 = 0.775 represents the proportion of non-phishing attempts.
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Find the difference. Simplify. Combine Like Terms.
Write you answer with no spaces.
(4y - 10) - (6y + 20)
Go fast! First person to answer gets marked brainliesy
Answer:
\( \huge{ \fbox{ \sf{ - 2y - 30}}}\)
Step-by-step explanation:
\( \star{ \sf{ \: (4y - 10) - (6y + 20)}}\)
\( \text{Step \: 1 }\: : \sf{While \: subtracting \: sign \: of \: each \: term \: of \: the \: second \: expression \: changes}\)
\( \hookrightarrow{ \sf{4y - 10 - 6y - 20}}\)
\( \text{Step \: 2 \: : \sf Collect \: like \: terms}\)
\( \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}\)
\( \hookrightarrow{ \sf{4y - 6y - 10 - 20}}\)
\( \hookrightarrow{ \sf{ - 2y - 10 - 20}}\)
\( \text{Step \: 3 \: : \sf{Calculate}}\)
\( \underline{ \text{Remember!}} : \sf{The \: negative \: integers \: are \:always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}\)
\( \hookrightarrow{ \sf{ - 2y - 30}}\)
Hope I helped!
Best regards! :D
~\( \sf{TheAnimeGirl}\)
Which of the following is the form factor of a standard Parallel connector? A. DB-9. B. DB-15. C. DB-25. D. DIN-6.
The form factor of a standard Parallel connector is DB-25.
A Parallel connector is a type of interface commonly used for connecting devices such as printers, scanners, and external storage devices to a computer. It allows for the simultaneous transmission of multiple bits of data through separate data lines. The form factor refers to the physical shape and configuration of the connector.
Option A, DB-9, is incorrect because DB-9 connectors are commonly used for serial communication, not parallel communication. They have 9 pins arranged in two rows and are typically used for applications such as RS-232 serial ports.
Option B, DB-15, is also incorrect as DB-15 connectors are commonly used for video graphics (VGA) connections, not parallel communication. They have 15 pins arranged in three rows and are commonly found on older computer monitors.
Option D, DIN-6, is also not the correct form factor for a standard Parallel connector. DIN-6 connectors are typically used for MIDI (Musical Instrument Digital Interface) connections or other audio applications. They have 6 pins arranged in a circular configuration.
The correct option is C, DB-25. The DB-25 connector, also known as a "D-sub 25" or "D-subminiature 25," is a type of connector commonly used for parallel communication interfaces. It has 25 pins arranged in two rows, with the pins surrounded by a D-shaped metal shield. The DB-25 connector is typically used for printer ports, parallel ports, and other parallel communication applications.
Therefore, the form factor of a standard Parallel connector is DB-25.
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help with these two pages
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees.
Explain about the square?Area of a square is measured in square units. The area of a square equals d22 square units when the diagonal, d, is known. For instance, a square with sides that are each 8 feet long is 8 8 or 64 square feet in area (ft2)
A square is a common polygon with four equal sides and angles that are each 90 degrees in length.
A square is a four-sided polygon with sides that are all the same length and angles that are all exactly 90 degrees. The square's shape ensures that both parts are symmetrical if it is divided down the middle by a plane. Then, each half of the square seems to be a rectangle with diagonal sides.
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How can you tell how many solutions a system of linear equations have?
The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. If the system is inconsistent, it has no solution. If the system is dependent, it has infinitely many solutions.
The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. To check for consistency, the equations must be solved and the solutions compared. If all the solutions are the same, then the system is consistent and has one unique solution. If the solutions are different, then the system is inconsistent and has no solution. If all variables are linearly dependent, then the system is dependent and has infinitely many solutions. To determine if the variables are linearly dependent, one must check for a linear combination of the variables that yields the zero vector. If the linear combination exists, the system is dependent and has infinitely many solutions.
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A boy's mark for a test is 18 out of a total of 30 marks. If the
test had been marked out of 40 what would the boy's mark have
been?
Please help me, with explanation. Thank you<3
Answer:
It would be 18/40 and his grade would be a 45%
Answer:
24
Step-by-step explanation:
18/30×40=24
help please in a rush
Answer: 2 and 6
A = 2
B = 6
A null hypothesis is that the mean nose lengths of men and women are the same. The alternative hypothesis is that women have a shorter mean nose length than men. Alpha for the problem is.05. A statistical test is done and the p-value is 0.04. Which of the following is the most appropriate way to state the conclusion?
The appropriate way to state the conclusion of the given statement is:
The results of the statistical test suggest that women have a shorter mean nose length than men (p = 0.04, α = 0.05).
Given:
A null hypothesis is that the mean nose lengths of men and women are the same.
The alternative hypothesis is that women have a shorter mean nose length than men.
Alpha for the problem is.05.
A statistical test is done and the p-value is 0.04.
Hence based on the condition we frame it as:
The results of the statistical test suggest that women have a shorter mean nose length than men (p = 0.04, α = 0.05).
Hence we get the required answer,
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Elena wants to create a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50.
Draw and label the dimensions of a scale drawing of Elena’s bedroom, using
a scale of 1 to 50.
To create a scale illustration of her bedroom, Elena must draw a 10cm by 6cm rectangle.
How to draw a scale illustration of the bedroom?To create a scale illustration of her bedroom she must take into account the scale she will be using. In this case it would be 1:50, that is, each original unit must be divided into 50 parts. Therefore, we must divide the lengths into 50 as shown below. Additionally we must take the values in cm.
500cm / 50 = 10cm300cm / 50 = 6cmAccording to the above, a scale model would be 10cm by 6cm.
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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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On a camping trip you bring 12 items for 4 dinners. For each dinner you use 3 items. In how many ways can you choose items for the first dinner? for the second? for the third? for the fourth?
Answer:
ermmm...yeah
Step-by-step explanation:
Since you bring 12 items for 4 dinners, you have a total of 12 items to choose from.
For the first dinner, you need to choose 3 items out of the 12. You can do this in:
12 choose 3 = (12!)/(3!*(12-3)!) = 220 ways
For the second dinner, you have used up 3 items in the first dinner, so you have 9 items left to choose from. You need to choose 3 items out of the 9. You can do this in:
9 choose 3 = (9!)/(3!*(9-3)!) = 84 ways
For the third dinner, you have already used up 6 items, so you have 6 items left to choose from. You need to choose 3 items out of the 6. You can do this in:
6 choose 3 = (6!)/(3!*(6-3)!) = 20 ways
For the fourth dinner, you have already used up 9 items, so you have only 3 items left to choose from. You need to choose all 3 items. You can do this in:
3 choose 3 = (3!)/(3!*(3-3)!) = 1 way
Therefore, you can choose items for the first dinner in 220 ways, for the second dinner in 84 ways, for the third dinner in 20 ways, and for the fourth dinner in 1 way.
Date
Selling Cars
Solving One-Step Equations
The Media Store runs a promotion in July to increase summer business. They take $2 off of
every DVD in the store. Complete the table below.
Sale Price
Regular Price
$17
Movie
Speed XXIV
The Furious and the Fast
Planet Wars
Saturday the Fourteenth XIII
$12
$19
$6
1. How did you find the sale price, given the regular price? Use a complete sentence to
explain your answer.
2. Write an expression to represent the sale price, given the regular price.
Use any method to solve each equation.
3. X + 33 = 97
4. 7 + x = 24
Answer:Computer Store sells DVDs for a day = 110
No. of days the store works = 266
No. of DVDs saled in 266 days = 266 days x 110DVDs
= 29,260 DVDs
Step-by-step explanation:
The price of a video game at Game Word has increased from $36 to $45 each. What was the percent change?
Step-by-step explanation:
price difference= $45-$36
=$9
now,
x% of $45=$9
or, x/100 ×45 =9
or, x/20 ×9=9
or, x/20=1
therefore, x= 20%
Anybody know this pls help.
Answer:
-100
Step-by-step explanation:
28-2(4^2*4)
28-2(16*4)
28-2(64)
28-128
-100
Answer:
The answer is 100
Step-by-step explanation:
step one: do 4 sqaured
step two: 16 times 4= 64
step three=64 times 2=128
step 4: 128- 28=100
Lakisha’s employer pays $2,150 in health insurance and $86 in life insurance per year. she also gets $3,520 in paid time off per year. her monthly gross pay is $4,370. what are lakisha’s total job benefits per year? a. $5,756 b. $10,126 c. $52,440 d. $58,196 please select the best answer from the choices provided a b c d
Lakisha's total job benefits per year are (D) $58,196.
What are employees' benefits?Employee perks and benefits in kind are non-wage compensation provided to employees in addition to their regular income or salary. A "salary package" or "salary exchange" arrangement is one in which an employee exchanges salaries for some other type of compensation.To find Lakisha's total job benefits:
If Lakisha's employer pays $2,150 in health insurance and $86 in life insurance per year, and she also gets $3,520 in paid time off per year, then Lakisha's total job benefits per year are equal to:
Total Benefits = Health Insurance + Life Insurance + Paid Time Off + Annual Gross Pay
Total Benefits= $2,150+$86+$3,520+12($4,370)Total Benefits= $2,150+$86+$3,520+$52,440Total Benefits=$58,196Therefore, Lakisha's total job benefits per year are (D) $58,196.
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Answer The answer is D
Step-by-step explanation:
I got it correct on edg
A farmer is creating a rectangular garden such that the length is four times the width. The
area of the garden is 2077 square feet. Write and solve an equation to determine the width
of the garden, to the nearest tenth of a foot.
Answer:
Width of the garden = 22.8 foot
Step-by-step explanation:
Area of the rectangular garden = 2077 square feet.
Let
Width of the garden = x
Length of the garden = 4x
Area of a rectangular garden = length × width
2077 = 4x * x
2077 = 4x²
x² = 2077/4
x² = 519.25
find the square root of both sides
x = √519.25
x = 22.787057730211
To the nearest tenth of a foot.
x = 22.8 foot
Width of the garden = 22.8 foot
HELPPPPP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER (see attachment)
Step-by-step explanation:
(b) since a negative number added to a positive one it will be positive
Answer:
2x² + 5x - 12
steps:
→ (x+4)(2x-3)
By distributive method:
→ (x)(2x) +4(2x) +x(-3) +4(-3)
simplifying:
→ 2x² + 8x - 3x - 12
final answer:
→ 2x² + 5x - 12