The required sample size is [tex]1,068[/tex]
A) Significance Level, [tex]\alpha = 0.05[/tex], Margin of Error,[tex]E=0.03[/tex]
The provided estimate of proportion p is, [tex]p=0.5[/tex]
The critical value for significance level, [tex]\alpha = 0.05[/tex] is [tex]1.96[/tex].
The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:
[tex]n>=p(1-p)\dfrac{Z_c}{E^2}^{2}[/tex]
Put Values , we get
[tex]n=0.5(1-0.5)\dfrac{1.96}{0.03^2}^{2}\\\\n=0.5(0.5)(65.33)^2\\\\n=0.25(4,268)[/tex]
[tex]n=1067.11[/tex]
Therefore, the sample size needed to satisfy the condition [tex]n>=1067.11[/tex] and it must be an integer number, we conclude that the minimum required sample size is [tex]n=1068[/tex]
Sample size, [tex]1068[/tex]
B) Significance Level, [tex]\alpha = 0.05[/tex], Margin of Error,[tex]E=0.03[/tex]
The provided estimate of proportion p is, [tex]p=0.55[/tex]
The critical value for significance level, [tex]\alpha = 0.05[/tex] is [tex]1.96[/tex].
The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:
[tex]n>=p(1-p)\dfrac{Z_c}{E^2}^{2}[/tex]
Put Values , we get
[tex]n=0.55(1-0.55)\dfrac{1.96}{0.03^2}^{2}\\\\n=0.55(0.45)(65.33)^2\\\\n=0.2475(4,268)[/tex]
[tex]n=1056.44[/tex]
Therefore, the sample size needed to satisfy the condition [tex]n>=1056.44[/tex] and it must be an integer number, we conclude that the minimum required sample size is [tex]n=1057[/tex]
Sample size, [tex]1057[/tex]
C)The difference between both the part a and b is very less so added knowledge of the extra information does not have much effect on sample size.
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Ben is going on a 140- mile trip. If he drives for 2 hours at an average speed of 50 miles per hour,how many miles will he still have left to go on his trip?
write the ratio as a fraction in simplest form. 32:42
Jamie practiced the piano every four days. He had a piano lesson every nine days. How many more days will it be until Jamie practices and has a lesson on the same day?
Miguel spent 1/8 of his savings on a new video game system. Mila spent 12% of her savings on a DVD, and Manny spent 0.1 of his savings on a skateboard. Who spent the most of their savings? PLZ EXPLAIN HOW YOU GOT THE ANSWER!!!!
how many time more respondents chose either black or silver than red round to the nearest tenth if necessary
Silver = 0.2
Black = 0.14
Red = 0.09
Tom's new credit card has a $35 annual membership fee due in September. In August, Tom received a credit card bill totaling $45 and was only able to pay the $20 minimum payment before the due date. How much balance will show up on Tom's credit card in September if the introductory APR of 0% still applies and the late fee is $30?
Answer:
youre mad dmb bro its 90 so
Step-by-step explanation:
Tom's new credit card has a $35 annual membership fee due in September
Tom received a credit card bill totaling $45 and was only able to pay the $20 minimum payment before the due date.
How much balance will show up on Tom's credit card in September if the introductory APR of 0% still applies and the late fee is $30?
35+25+30=90
Henry has a bag containing 35 letter tiles some consonants and some vowels He selects a tile without looking and then replaces it if he pull 3 consonants tiles and 4 vowel tiles which is the most likely number of consonant tile in Henry’s bag
A collector's model racecar is scaled so that 1 inch on the model equals 6 feet on the actual car. If the model is 0.75 inches high, how many feet high is the actual car? Enter your answer as a decimal.
Please Help ASAP and Explain Please :)
A teacher promised a movie day to the class that did better, on average, on their test. The box plot shows the results of the test:
Which class should get the reward, and why?
A. The 2nd period class should get the reward. They have the highest score, a perfect 100.
B. The 2nd period class should get the reward. They have a higher median.
C. The 4th period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd period class.
D. The 4th period class should get the reward. Their lowest score is an outlier, and should be thrown out.
this ten frame show 5+8 draw to make ten then write the new fact
Question:
Find equivalent expressions for the given expressions.
A. 5/6(x - 6) + 1/6(3 - x)
B. (y + 7)4 + 8 - 5y
Celina can walk 4 miles in 1 hour and can run 8 miles in 1 hour. What percent of Celina’s average running speed is her average walking speed? A. 25% B. 50% C. 75% D. 100%
There are different kind of speed in mathematics like average speed, instantaneous peed, to solve this question we need to know the concept of average speed. Therefore the correct option is option B
What is average speed?
Average speed is defined as the total sum of distance divided by total sum of time
Mathematically,
Average speed = total distance ÷total time taken
Here we have to find the percent of of Celina’s average running speed
So for this we will apply formula as
(Difference in distance ÷original distance)×100
So from question, Celina walk 4 miles in 1 hour and can run 8 miles in 1 hour so, the the difference in distance between running and walking is 8-4= 4
So to find the percent of Celina’s average running speed is her average walking speed = (4 ÷8)=50%
Therefore, Celina’s average running speed is her average walking speed is 50%. The correct option is Option B
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An elephant can run 1/4 of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant runs in miles per hour?
Answer: 25 miles per hour
Step-by-step explanation: Since elephant run 1/4 miles in 36 sec
that means in 1 sec elephant runs 1/(4×36) miles
and 1 hour=60×60 sec
that means in 1 hour elephant runs (60×60)/(4×36) miles=25 miles
i.e. elephant runs 25 miles per hour
PLEASE HELP!
Q1. A carpenter has 16 1/2 m of wood. He cuts the wood into pieces that are each 2 3/4 m long.
How many pieces of wood does the carpenter cut?
Q2. Divide.
3/5 ÷ 1 1/4
1. 1/4
2.12/25
3. 3/4
4. 2 2/5
How do I solve this using elimination?
80x + 45y = 645
x + y = 12
3 teachers for 63 students what is the ratio
The floor of a canyon has an elevation of −14.5−14.5 feet. Erosion causes the elevation to change by −1.5−1.5 feet per year. How many years will it take for the canyon floor to have an elevation of −31−31 feet?
What's 4.002 in word form?
When expressing the given number 4.002 in word form, describe it as "four and two thousandths."
The given number is 4.002.
To express the number 4.002 in word form, we break it down into its individual place values and assign corresponding words to each place. Here's the breakdown:
4.002:
The digit 4 is in the whole number place.The digit 0 in the tenths place.The digit 0 in the hundredths place.The digit 2 in the thousandths place.Now, let's express each place value in word form:
4.002 is spelled as "four and two thousandths."
Thus, when expressing 4.002 in word form, we describe it as "four and two thousandths."
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Which is a simplified form of the expression 5c – 7(2c – 4)? A. 9c + 28 B. -9c + 28 C. 9c - 28 D. -9c – 28
Answer:
b
Step-by-step explanation:
how long would it take to travel 200 meters at 5 m/s
To travel 200 meters at 5 m/s, it would take 40 seconds.
To travel 200 meters at 5 m/s, we can use the formula for speed:
speed = distance / time
5 m/s = 200 meters / time
time = 200 meters / 5 m/s = 40 seconds
A 7-foot tall stop sign creates a shadow that is 2 feet long. At the same time, a utility pole creates a shadow that is 11 feet long. How tall, in feet, is the utility pole?
Answer:
The height of the pole is 38.5 m.
Step-by-step explanation:
Given information:
The height of stop sign is [tex]h=7\rm \; ft[/tex]
Length of shadow of stop sign is [tex]l=2\rm \; ft[/tex].
The length of shadow of pole is [tex]L=11\rm \; ft[/tex].
Now, the shadow is measured at the same time for both the cases. So, the triangles formed by stop sign and its shadow, and pole and its shadow will be similar.
For similar triangles, the sides are always in same proportion.
Solve for the length of pole as,
[tex]\dfrac{H}{h}=\dfrac{L}{l}\\\dfrac{H}{7}=\dfrac{11}{2}\\H=7\times 5.5\\H=38.5[/tex]
Therefore, the height of the pole is 38.5 m.
Refer the diagram for more clarity.
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2(2a-1) + 3 -a
if a = -5
What is the distance between points (10,7) and (2,7) on a coordinate plane?
please help me
The distance between points (10,7) and (2,7) on a coordinate plane will be 8 units.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that, the points on the coordinate planes are (10,7) and (2,7).
(x₁,y₁) = (10,7)
(x₂,y₂) = (2,7)
The distance between points (10,7) and (2,7) on a coordinate plane is found as,
(d) = √(x₂ - x₁)² + (y₂-y₁)²
Substitute the given values as,
(d) = √(2 - 10)² + (7 - 7)²
=√(-8)² + (0)²
=√64
=8 units
Thus, the distance between points (10,7) and (2,7) on a coordinate plane will be 8 units.
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Biff’s candy tax is working great for him. When any other student buys candy from the student store, Biff takes two pieces for himself for every five pieces the student buys. If George bought 35 pieces of candy, how many pieces will go to Biff? Show your work or explain your answer.
Helpppp now please helpppp
B. I did my math
Using google
The circumference of a circle of radius r is given by the polynomial 2 pi r2πr, where piπ is an irrational number. For an approximation of piπ, use 3.14. Find the circumference of a circle with radius 18 cm18 cm.
A dozen eggs cost $1.32 at the grocery store. How much profit would a restaurant make if they sold 1 scrambled egg for 99 cent ?
Identify the slope of the line shown in the graph below:
Graph of a vertical line with an x intercept of 3
What is 7√11√ in simplest radical form?
Enter your answer in the box.
Answer:
√[tex]\frac{77}{11}[/tex]
The answer in the simplest radical form is [tex]\frac{\sqrt{77}}{11}[/tex].
What is a radical expression?A radical expression is an expression consisting of a square root or nth root.
The given expression is √7/√11.
Simplify the expression as follows:
√7/√11 × √11 / √11
√77 / 11
Hence, the answer in the simplest radical form is [tex]\frac{\sqrt{77}}{11}[/tex].
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The correct question is?
What is √7/√11 in the simplest radical form?
1520 divided by 83 with remainder
To find 1520 divided by 83 with the remainder, divide 1520 by 83, which results in 18 with a remainder of 26.
The question from the student involves dividing 1520 by 83 and finding the remainder. To perform this calculation, we divide 1520 by 83. The quotient is the whole number result of the division, and the remainder is what is left over after the division.
Here's how you'd calculate it:
Divide 1520 by 83.
Find the whole number quotient, which is the number of times 83 goes into 1520 completely.
Calculate the remainder by subtracting the product of the quotient and 83 from 1520.
In this case, 1520 \\div 83 is 18 with a remainder of 14, since 83 x 18 = 1494, and 1520 - 1494 = 26. Therefore, 1520 divided by 83 equals 18 with a remainder of 26.