Answer:
- How does their confidence level compare to the confidence level of the interval stated above?
Provided all the other parameters involved in the determination of margin of error remains constant, the confidence level of the interval obtained by the second set of researchers (with a larger margin of error) is definitely greater than the confidence of the first stated interval.
- How will the margin of error of the 95% confidence interval constructed based on data from the new survey compare to the margin of error of the interval stated above?
Provided all the other parameters involved in the determination of margin of error remains constant, the margin of error of the confidence interval of data from the new survey will be less than the margin of error of the initially stated interval because the margin of error is inversely proportional to the sample size and the sample size of the new survey (2500) is more than the sample size of the old survey (1155).
Step-by-step explanation:
Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Since the sample sizes are so large, the critical value for this would be obtained from the z-distribution tables.
And critical value increases with higher confidence level.
Which directly translates to margin of error increasing with higher confidence level.
A) Hence, if all other parameters stay the same, the margin of error can only be larger if the confidence level of the second researchers is more than than the confidence level at which the initial research was carried out.
B) In the determination of the margin of error
Margin of Error = (Critical value) × (standard Error of the mean)
Standard error of the mean = σₓ = (σ/√n)
where σ = population standard deviation or sample standard deviation for a sample size that's very large
n = sample size
If the critical value stays the same (the tests in the two years being considered are performed at the same level) and the standard deviation too remain almost the same (the question asks us to assume that the population characteristics, with respect to how much time people spend relaxing after work, have not changed much within a year), the margin of error is obviously inversely proportional to the sample size.
Margin of error = (zσ/√n)
zσ = constant = k
Margin of error = (k/√n)
So, if the sample size increases, the new margin of error that will be obtained will be lesser.
Hope this Helps!!!
What is the distance between (4.7) and (2, 2)?
Answer:
=√29
Distance between (4,7) and (2,2) : =√29
Steps:
Compute the distance between (ˣ1,y1) , (ˣ2,y2) : √ (₂-ˣ1) ² + (y₂-y₁)²
The distance between (4,7) and (2,2) is
= √ ( 2-4) ² + (2-7)²
√ ( 2-4) ² + (2-7) ² =√29
=√29
Please mark brainliest
Hope this helps.
A restaurant offers a special pizza with any 4 toppings. If the restaurant has 15 topping from which to choose, how many different special pizzas
are possible.
Answer: 1,365 possible special pizzas
Step-by-step explanation:
For the first topping, there are 15 possibilities, for the second topping, there are 14 possibilities, for the third topping, there are 13 possibilities, and for the fourth topping, there are 12 possibilities. This is how you find the number of possible ways.
15 * 14 * 13 * 12 = 32,760
Now, you need to divide that by the number of toppings you are allowed to add each time you add a topping.
4 * 3 * 2 * 1 = 24
32,760 / 24 = 1,365
There are 1,365 possible special pizzas
Using the combination principle, the number of special pizzas from which to choose from is 1365
Total number of toppings to choose from = 15 Number of topping on a special pizza = 4Using Combination :
nCr = [(n! ÷ (n - r)! r!)]
15C4 = [(15! ÷ (15 - 4)! 4!)]
15C4 = [(15! ÷ 11!4!)]
15C4 = (15 × 14 × 13 × 12) ÷ (4 × 3 × 2 × 1)
15C4 = 32760 / 24
15C4 = 1365
Therefore, 1365 different special pizzas can be made.
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Please answer this correctly
Answer:
75%
Step-by-step explanation:
There are 6 numbers that fit the rule, 1, 2, 3, 4, 6, 8. Since there are a total of 8 numbers, there is a 6/8 chance picking one or 75% chance.
Answer:
50%
Step-by-step explanation:
so the original fraction is 4/8 or 1/2 so it is 50%.
what is the Expected value of the probability distribution also called?
Answer:
The expected value is also known as the expectation, mathematical expectation, mean, average, or first moment.
Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. Andrew asked seven of his friends how many cousins they had. The results are listed below. Find the mean number of cousins. 15 12 5 14 4 4 6
Answer:
8.57Step-by-step explanation:
Mean is defined as the ratio of the total sum of all the given datas to the total number of data present. It is expressed mathematically as;
[tex]\overline x = \frac{ \sum Xi}{N}[/tex] where;
[tex]\overline x = mean\\Xi= individual \ data\\N = total\ amount\ of \ data[/tex]
Given N = 7
[tex]\overline x = \frac{15+12+5+14+4+4+6}{7}[/tex]
[tex]\overline x= \frac{60}{7} \\\overline x = 8.57[/tex]
The mean number of cousins is 8.57
11. If AD = 8 centimeters, what is BD?
A. 4 cm
B. 6 cm
C. 8 cm
D. 10 cm
72/10 is equal to what decimal?
Answer:
7.2
Step-by-step explanation:
Since 72 goes into 10 7 times, we do have 7 point something. We are left with 2/10ths, which is 0.2, so we add them together to get 7.2.
What is the vertex of the function f(x)=2x2+12 x +10?
Answer:
Vertex: (-3. -8)
Step-by-step explanation:
Quickest and easiest way to do this is to using a graphing calc and graph the function. Once you have done so, trace the graph to the lowest point of the graph. You should be able to see that (-3, -8) is your answer.
Alternatively, you can convert this function into f(x) = a(bx - h)² + k (by Completing the Square) form to find (-h, k) as your vertex.
look at the figure below:
Answer: A) ΔABD ≡ ΔECD
Step-by-step explanation:
Match up the letters of the congruent sides.
AD = ED and BD = CD
A D B D → ABD
E D C D → ECD
This can be written in any order as long as the letters are matched properly. A & E, D & D, B & C
ADB or BDA or ...
EDC CDE
The only correct option provided is option A.
Answer:
Answer is option 1)
Answer is given below with explanations.
Step-by-step explanation:
[tex]triangle \: ABD \: and \: triangle \:ECD \: are \: congruent \\ length \: of \: BD \: = \: length \: of \: CD \\ \: and \: also \\ length \: of \: AD = length \: of \: ED \\ angle \: BDA \: = \: angle \: CDE \\ by \: \: side \: - angle - side \: postulate \\ triangle \: ABD \: and \: triangle \:ECD \: are \: congruent.[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
8 sump pumps working at the same rate drain a flooded basement in 6
1/4 hours. How long would it take 4 pumps to drain the same amount
from the basement?
Answer:
12 1/2
Explanation:
6 1/4 ÷ 2
= 25/4 × 2/2
= 25 × 2 ÷ 2
= 12 1/2
a solution to the inequality n ÷ 4 – 125 > 300
Answer:
n > 1700
Step-by-step explanation:
n ÷ 4 – 125 > 300
Add 125 to both sides.
n ÷ 4 > 425
Multiply both sides by 4.
n > 1700
Answer:
n > 1700
Step-by-step explanation:
n ÷ 4 - 125 > 300
Add 125 to both parts.
n ÷ 4 > 300 + 125
n ÷ 4 > 425
Multiply both sides with 4.
n > 425 × 4
n > 1700
7. Consider the function g(x) = x^2 + 6x + 5. Now consider the quadratic function h(x), which has values given in the table of values below. Which function has a greater y-intercept?
Answer:
h(X) has a greater y-intercept.Option C is the correct option
Step-by-step explanation:
The y-intercept is the value of the function where X is 0. For g(X) , y-intercept is 5 while the y-intercept of h(X) is 9.
So, h(X) has a greater y-intercept.
Hope this helps...
Good luck on your assignment..
Answer:
h(x) has a greater y-intercept.
Step-by-step explanation:
A division problem is shown below. 4 and one-third divided by 5 and StartFraction 1 over 6 EndFraction The reciprocal of a fraction must be found to solve the problem. What is the reciprocal fraction that is required?
Answer:
6/5
Step-by-step explanation:
you have to flip the numerator and denominator. If it is 5/6 then it would be 6/5.
The reciprocal fraction that is required will be 31/26.
What is a fraction?A fraction is a numerical number that is represented in the numerator and denominator form.
We have Two mixed fractions, the First fraction = 4(1/3) and the Second fraction = 5(1/6).
Now,First, convert mixed fractions into simple fractions,i.e.First fraction = 4(1/3) = 13/3And,Second fraction = 5(1/6) = 31/6
Now, According to the question,
Divide First fraction by Second fraction;i.e.= (13/3) / (31/6)Now simplify,= ( 13 × 6) / (31 × 3)
Now, We get,= 26/31
So, the reciprocal fraction = 31/26.
Hence we can say that the reciprocal fraction that is required will be 31/26.
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Form three equations starting with x=1/2
Answer:
Step-by-step explanation:
x - 1/2 =0
2x = 1
4x = 2
Answer:
x + 3 = 7/2
100x = 50
16/x = 24
Step-by-step explanation:
The value of x is 1/2 in the three equations.
WHO ELSE HATES MATH LIKE ME!? OR ALGEBRA I SHOULD SAY! UGH!!! :( I NEED A PERSONAL STUDY BUDDY TO HELP ME GET THROUGH THESE TOUGH ?'S :( Brian works in a lab, and fills an empty cylindrical flask with 200 cubic centimeters of liquid. The flask has a radius of 3 cm and a height 12 cm. What percent of the volume of the flask is not filled with liquid? (Use π=3.14 . WHAT IS THE answer rounded to the nearest whole percent.)
Answer:
The answer is 41%.
Step-by-step explanation:
First, you have to find the total volume of the cylindrical flask using the formula. Then, you have to substitute the following values into the formula :
[tex]v = \pi \times {r}^{2} \times h[/tex]
[tex]let \: \pi = 3.14 \\ let \: r = 3 \\ let \: h = 12[/tex]
[tex]v = 3.14 \times {3}^{2} \times 12[/tex]
[tex]v = 3.14 \times 108[/tex]
[tex]v = 339.12 {cm}^{3} [/tex]
Next, given that 200cm³ of liquid is poured into the cylinder. So in order to find the volume of flask that is not filled by liquid, you have to subtract :
[tex]v = 339.12 - 200 = 139.12 {cm}^{3} [/tex]
Lastly, you have to find the percentage :
[tex] \frac{139.12}{339.12} \times 100 = 41\% \: (near. \: whole \: number)[/tex]
In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. Create a 90% confidence interval for the proportion of fans who bought food from the concession stand. Use a TI-83, TI-83 plus, or TI-84 calculator, rounding your answers to three decimal places.
Answer:
90% confidence interval for the proportion of fans who bought food from the concession stand
(0.5603,0.6529)
Step-by-step explanation:
Step(i):-
Given sample size 'n' =300
Given data random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.
Given sample proportion
[tex]p^{-} = \frac{x}{n} = \frac{182}{300} =0.606[/tex]
level of significance = 90% or 0.10
Z₀.₁₀ = 1.645
90% confidence interval for the proportion is determined by
[tex](p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })[/tex]
[tex](0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} } ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })[/tex]
(0.6066 - 0.0463 ,0.6066 + 0.0463)
(0.5603,0.6529)
final answer:-
90% confidence interval for the proportion of fans who bought food from the concession stand
(0.5603,0.6529)
Suppose we know that a confidence interval for a population proportion is (0.572,0.662), with a sample proportion of p′=0.617. What is the margin of error?
Explanation:
The sample proportion 0.617 is at the exact midpoint of the interval from 0.572 to 0.662
We can confirm this by applying the midpoint formula.
The distance from the center (0.617) to either endpoint will be the margin of error. In other words, it is half the width of the confidence interval
L = lower boundary of confidence interval = 0.572
C = center of confidence interval = 0.617
U = upper boundary of confidence interval = 0.662
We have three methods to find the confidence interval
margin of error = U - C = 0.662-0.617 = 0.045margin of error = C - L = 0.617 - 0.572 = 0.045margin of error = (width)/2 = (U-L)/2 = (0.662-0.572)/2 = 0.045Each yielding the same result of 0.045
With the third method, you don't need to know the center of the confidence interval.
(+3
+(+2)
help me with directed numbers pls
Answer:
5
Step-by-step explanation:
(+3 + (+2))
Remove the brackets.
3 + (+2)
3 + 2
Add the numbers.
= 5
Answer:
+5 or 5
Step-by-step explanation:
(+3)+(+2)
=> According to the rule, ( + )( + ) = ( + )
So,
=> +3+2
=> +5
There is 278 calories for 100g of kiri cheese, each portion of kiri cheese has 46 calories. how many kiri portions do I need to equal 50g?
Answer:
Two Portions!!!
Step-by-step explanation:
What is the volume of this aquarium?
Answer:
2,973 in^3
Step-by-step explanation:
3000- large section
27- smaller center cut-out
Answer:
2973 in³
Step-by-step explanation:
volume of cuboid - volume of cube
20*15*10 - 3³
3000 - 27
= 2973
The volume of the aquarium is 2973 in³.
The figure shows the steps to construct a perpendicular segment to a line through a point on that line. The steps are in an incorrect order. What is the correct order of the steps to construct a perpendicular segment to a line through a point on that line? A. DBCA B. DBAC C. BCAC D. BDCA
Answer:
D. BDCA
Step-by-step explanation:
B Start with the segment with point P. Center the compass at P and, with the same radius, strike two marks on the line on both sides of point P. Call these point A and D.
D Center the compass at D open the compass to a radius greater than the length DP.
C Draw an arc above segment CD. Center the compass at C, and using the same radius, draw another arc above segment CD that intersects the previous arc.
A Draw a line from the point of intersection of the arcs to point P. The is the perpendicular to line AB through point P.
Answer: BDCA
Answer: BDCA
Step-by-step explanation:
Start from point B.
Measure the distance BD.
Draw intersecting arcs of this distance from points C and point D above the line. Name this point E.
Join B and E to draw the perpendicular segment
Shopping at discount clothing stores can save you a lot of money. Felicia recently bought a jacket
at a discount store for $20 that would normally cost $60 at a retail store. What percent discount
off the retail price did Felicia get the jacket for?
Answer:
33.33%
Step-by-step explanation:
use a proportion
20/60 =10/30=1/3=33.333%
hope this helped!
HELP PRAGYA! (x+6)(x-9)
Answer:
x^2-3x-54
Step-by-step explanation:
Once again FOIL is the way to go!
First, Outside, Inside, Last
x^2-3x-54
Answer:
[tex]x^2-3x-54[/tex]
Step-by-step explanation:
=> (x+6)(x-9)
USING FOIL
=> [tex]x^2-9x+6x-54[/tex]
=> [tex]x^2-3x-54[/tex]
If 1 card is drawn at random from a standard 52-card deck, what is the probability that the card drawn is a king?
Answer:
1/13 chance or roughly 7.7% chance.
Step-by-step explanation:
There are 4 Kings in a standard 52-card deck. If one King was to be pulled out, you'd get a probability of 4/52 chance of pulling a king. Simplified, 4/52 is 1/13 chance.
You want to install a 1 1 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the walk? Use 3.14 for pi π.
Complete Question:
You want to install a 1 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the walk? Use 3.14 for pi π.
Answer:
75.36 square yard
Step-by-step explanation:
From the question,
The diameter of this circular pool inside is 23 yd.
This means that the radius = Diameter/2 = 23yd/2 = 11.5 yd.
The formula for the area of a circle =
A = πr²
A = π(11.5)²
A =3.14 × 11.5²
A = 415.265 yd²
This is the Area of the inner circle.
We were told in the question also that he wants to install a walk of 1 yard
Hence, the radius of outer circle =
radius of inner circle +length of the walk
11.5yard + 1 yard
= 12.5 yard
A = πr²
A = 3.14 × (12.5)²
A = 490.625yd²
Area of the walk = Area of the Outer circle - Area of the inner circle
= (490.625 - 415.265)yd = 75.36 yd²
Therefore, the area of the walk is 75.36 square yards.
A review of voter registration in a small rural town revealed the following: Male Female TOTAL DEMOCRAT 600 600 1,200 REPUBLICAN 500 300 800 OTHER 122 100 222 TOTAL 1,222 1,000 2,222 Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent. Type a numerical answer in the space provided. Do not include % or spaces in your answer
Answer:
Step-by-step explanation:
The given data is
Male female total
Democrat. 600 600 1200
Republican 500 300 800
other 122 100 222
total. 1222 1000 2222
The total number of people (males and females) that voted is 2222. The total number of people that did not vote Republican or Democrat but voted "other" instead is 222
Therefore, the percentage of all voters that did not vote Republican or Democrat but voted "other" instead is
222/2222 × 100 = 9.990990999099
Rounding up to the nearest tenth of a percent, it becomes 10.0
Answer: A review of voter registration in a small rural town revealed the following:
Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "Other" instead.
22%
25%
222%
10% this is right
Step-by-step explanation:
How to calculate a circumference of a circle?
Answer:
πd or 2πr
Step-by-step explanation:
To calculate the circumference of a circle, multiply the diameter of the circle by pi or multiply 2 times the radius times pi.
Hope that helps.
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Write down the formula for finding the circumference of a circle using the diameter. The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi. Plugging π into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7.
` OR `
Plug the given value of the diameter into the formula and solve.[2]
Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:
C = πd
C = π x 20
C = 62.8 feet
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
A toy falls from a window 80 feet above the ground. How long does it take the toy to hit the ground?
Answer:
2.24 s
Step-by-step explanation:
Given:
Δy = 80 ft
v₀ = 0 ft/s
a = 32 ft/s²
Find: t
Δy = v₀ t + ½ at²
80 ft = (0 ft/s) t + ½ (32 ft/s²) t²
t = 2.24 s
Find the gradient of the line 2y = 8x + 1
Find the y-intercept of the line 4y + 8x = -8
Bonus = Does the point (1 ,12) lie on the line y = 3x + 8 ? =
Does the point (-2 ,10) lie on the line y = 14 + 2x
Answer:
gradient=4 y intersept: B(0;-2) Point (1;12) doesn't lie on y=3x+8
(-2,10) lies on the line y=14+2x
Step-by-step explanation:
2y=8x+1 => divide both sides by 2=> y=4x+1/2 => gradient = 4
4y+8x= -8 => 4y= -8-8x => y=-2-2x . -2 - I indicated this number with the bold ( this ratio is the y coordinate of y- intersept. x coordinate=0
So the y-intersept is (0;-2)
We have a point (1;12) 1 is x coordinate of the point and 12 is y coordinate.
Put 1 and 12 instead x and y in the given formula. If we get the correct expression => the point lies on the line, if the expression is false=> doesn't lie on the line.
Now lets check !
12=3*1+8
12= 11 - false => the point (1;12) doesn't lie on y=3x+8
Similarly proceed: 10=14+2*(2)
10=14-4
10=10 - right ! Point (-2;10) lies on y=14+2x
in a controlled laboratory environment a random sample of 10 adults and a random sample of 10 children were tested by a psychologist to determine the room temperature that each person finds most comfortable. The data are summarized below.
Simple Mean Simple Variance
Adults(Population 1) 77.5°F 4.5
Childerns(Population 2) 74.5°F 2.5
If the psychologist wished to test the hypothesisthat children prefer warmer room temperature than adults, which hypothesis would he use?
Answer:
F distribution test
Step-by-step explanation:
He would use the F distribution test. This test is used in comparing the variances of two categorical variables if they are equal. The null hypothesis is rejected if after carrying out the test the results states otherwise.