Answer:
A sample size of 285 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation is $4300
This means that [tex]\sigma = 4300[/tex]
What sample size do you need to have a margin of error equal to $500 with 95% confidence?
A sample size of n is needed. n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{4300}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*4300[/tex]
[tex]\sqrt{n} = \frac{1.96*4300}{500}[/tex]
[tex]n = 284.1[/tex]
Rounding up
A sample size of 285 is needed.
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2: Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective. Using the data, construct the 98% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places.
Answer:
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective.
1536 - 1383 = 153
This means that [tex]n = 1536, \pi = \frac{153}{1536} = 0.1[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 - 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.082[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 + 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.118[/tex]
The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).
Alex finds a remnant of landscaping fabric at a garden store . The fabric is the standard width , with length 9.7 m . Alex needs twelve 0.85 - m pieces for a garden patio . a ) Will Alex have more fabric than she needs ? If so , how much more ? b ) Will Alex need more fabric ? If so , how much more ?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Length of remnant fabric = 9.7m
Number of 0.85m length needed for patio = 12
Total length needed = (0.85 * 12) = 10.2m
The length of fabric needed is more than the length of remnant fabric found ;
10.2 m - 9.7m = 0.5m
Hence, Alex will need 0.5m more fabric
A representative sample of 50 students from a high school is surveyed. Each student is asked what science class he or she
is taking
This table shows the responses.
Science Class
Physics
Chemistry
Blology
Earth Science
Health Science
Number of
Students
6
10
18
4
12
Select all of the statements that are valid based on the survey results..
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Option A, B, and C are correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
About 20% of the students are taking chemistry:
To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:
10/50 x 100% = 20%
Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.
About twice as many students are taking health science than are taking physics:
The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:
Health science : Physics = 12 : 6 = 2 : 1
Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.
For every 150 students, we could predict that at least 18 of the students are taking physics:
To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:
6/50 = 0.12
To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:
0.12 x 150 = 18
Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.
For every 25 students, we could predict that at least 4 of the students are taking Earth Science:
To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:
4/50 = 0.08
To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:
0.08 x 25 = 2
Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.
Therefore,
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Learn more about expressions here:
https://brainly.com/question/3118662
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What is an equivalent ratio to 3:4?
Answer:
12:16
Step-by-step explanation:
3 x 4 = 12
4 x 4 = 16
Answer:
6:8, 9:12, or 12: 16
Step-by-step explanation:
don't know how many you need but hope this helps! :))
Minnie shovels driveways to earn money. She can shovel 6 driveways in 4 hours. She earns $19.00 for each driveway. Minnie is saving up to buy a new phone that costs $1 567.50. How many hours does Minnie need to work to earn enough money to purchase the phone? s incorrect. Change your answer and try again! 2 3 4 5 6 7 00
9514 1404 393
Answer:
55 hours
Step-by-step explanation:
The number of hours will be ...
($1567.50) ÷ ($19/driveway) ÷ (6 driveways)/(4 h)
= (1567.50×4)/(19×6) h = 55 h
Minnie needs to shovel driveways for 55 hours to hear enough for the new phone.
Answer:
about 55.275 hours. You may have to round it to the nearest tenth or whole number, whatever the question tells you to do, but this is the approximate answer. PLEASE VOTE BRAINLIEST!
Step-by-step explanation:
What we know:
6 driveways in 4 hours
$19 per driveway
needs $1,567.50
first, find amount of hours for one drive way by setting up a proportion.
6/4 =1/x
x= about 0.67 hours, or about 40.2 minutes.
now think: how many driveways does it take to make 1,567.50?
1,567.50/19= 82.5
This means it will take her 83 driveways to earn all of her money.
The final step is to multiply this by the amount of minutes, and then you will have your answer! 82.5*40.2= 3316.5
Divide by 60 to convert to hours.
Answer: 55.275
A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT). Find the probability of getting exactly two heads.
The probability of getting two heads is
(Type an integer or a simplified fraction.)
Answer:
1/4
Step-by-step explanation:
Two Heads = HH,
From four options one of them is HH,
So likely the answer is 1/4,
Hope this helps!
In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes
Can anyone help me please i already did one but I am begging for help
Answer:
#5)
Figure 1: 4
Figure 2: 9
Total: 13
#6)
Figure 1: 10
Figure 2: 30
Total: 40
#7)
Figure 1: 36
Figure 2: 36
Total: 72
#8)
Figure 1: 12
Figure 2: 28
Total: 40
(The numbers in the image are incorrect)
Find the measurements of the numbered angles in each kite.
Answer:
∠1 = 90°
∠2 = 26°
Step-by-step explanation:
find the value for x
Answer:
x = 6°
Step-by-step explanation:
Rule of vertical angles claims that the opposite angles ar the same
19x - 4 would be the opposite to 110
and 19x - 4 would equal 110
Lets form an equation
19x - 4 = 110
Evaluating
19x - 4+4 = 110 + 4
19x = 114
x = 114/19
x = 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Easy question look at photo
Answer:
I would go with yes, since we know BC=UV
Step-by-step explanation:
Marcie baked several pies. She used 4 cups of flour for the dough. How many pints of flour did she use?
I have to turn this is Immediately please
Answer:
well if several means 3 then she used 12 pints.
Step-by-step explanation:
3X4=12
4X4=16
5X4=20 and so on.
The rabbit population at the city park increases by 14% per year. If there are intially 481 rabbits in the city park.
Write a model for the population (y) in terms of years (t).
y =
Find the population in 17 years.
Answer:
y = 0.14t + 481
Population in 17 years: 483.38
Step-by-step explanation:
y = (m) (x) + b
y = (slope) (x) + starting value
2. The area of the bottom of a shoe box is 28 square inches. If the
height of the shoe box is 3 inches, what is the volume the box
Answer:
Echo stop DELeting MY Stuff
Step-by-step explanation:
PLEASE HELP! 20 POINTS!!
Answer:
15
Step-by-step explanation:
In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!
Find the perimeter of the polygon with the vertices G(2, 4), H(2,−3), J(−2,−3), and K(−2, 4).
Answer:
22 units
Step-by-step explanation:
Graphed to solve.
Width:
The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.
Length:
The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.
14 + 8 = 22
What is y in this equation
Answer:
y = 88
Step-by-step explanation:
y + 53 + 39 = 180
y + 92 = 180
y = 88
What is the product of -8 and -7
Answer:56
Step-by-step explanation: -8x-7=56
Answer: -15
Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)
BC
Round your answer to the nearest hundredth.
А
50°
?
3
B
Use the sine function.
sine = opposite side of triangle divided by the hypotenuse.
Here is the set up:
sin(50°) = BC/3
sin(50°)/3 = BC
Use your calculator to simply left side.
Take it from here.
Find all missing angles in the diagram
Study each equation, then solve.
18) 5 + r = 6 - r
Answer:
5+r=6-r
-5 -5
r=1-r
+r +r
2r=1
÷2 ÷2
r=1/2
PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME
Will give brainliest and 50 points to who ever gives me the answer and not a link
Find the surface area of the
triangular prism.
10 ft.
3 ft.
ft.
3 ft.
[?] sq ft.
Check all statements that are true.
a. Adding two integers and then taking the remainder produces the same result as taking their remainders first, then adding them, and then applying the remainder operation once more.
b. Saying that a divides b is the same as saying that b is a multiple of a.
c. Adding two integers and then taking the remainder produces the same result as taking their remainders first and then adding them.
d. When you perform division by 5 with remainder, the remainder is an integer from -5 to 5.
e. If an integer a divides a product of two integers b and c, then a must divide b or a must divide c.
f. If an integer divides two numbers, it also divides their difference.
g. If an integer divides two numbers, it also divides their sum.
h. When you perform division by 3 with remainder, the remainder is one of the integers 0,1,2.
i. If a and b are positive integers, and a = bq + r is the decomposition of a given by the division algorithm, then q can be found as the floor of a/b, and then r can be found as r = a - bq.
j. If an integer a divides an integer b, then a also divides any multiple of b.
Answer:
a. True
b. True
c. False
d. False
e. False
f. True
g. True
h. True
i. True
j. True
Step-by-step explanation:
When the integer divides the two number then their sum is also divisible by that integer. This is also the case in the subtraction when two number are divisible then their difference is also divisible. When there is division by 5 the number not necessarily can be 5 or -5. This statement is not correct.
What would be the first step you would take in solving the equation 3 - 2x = 4(x + 15) ?
Answer:
Distribute the 4
Step-by-step explanation:
You should always distribute first then you should add the 2x. Then combine like terms. Then subtract 15 then divide by six. Then you get the answer x = -2.
Ms. Smith allows her students to choose the mean, median, or mode of their set of test scores to be their final grade. Which measure of center should Erica use to get the highest average if her scores are 80, 90, 70, 60, 90?
Answer:
Mode
Step-by-step explanation:
because 90 is the grade that shows up the most!
I hope I helped :)
Measure of center that Erica should use is mode to get the highest average on her scores.
What is Mean, Median and Mode?For a set of data, mean is the average of all the elements in the data set.
Median is the element in the exact middle when numbers are arranged from smallest to largest or largest to smallest.
Mode is the element which is most repeated.
The given data set is,
80, 90, 70, 60, 90
Mean = (80 + 90 + 70 + 60 + 90) / 5 = 78
To find median, firstly arrange the numbers in order.
60, 70, 80, 90, 90
The middle element is the element in the third place, 80 which is the median.
90 is the only element which appears more than once. So mode is 90.
Mode gives the highest score.
Hence Erica should use mode as the measure of center to get the highest average.
Learn more about Measures of Central Tendency here :
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A group consisting of 126 students and 7 chaperones is going on a field trip. Which of the following groups does not have the same ratio of students to chaperones?
Answer:
c
Step-by-step explanation:
Here are the options
A 36 students and 2 chaperones B. 54 students and 3 chaperones O C 90 students and 4 chaperones D 108 students and 6 chaperones
We have to simply the ratio of students to chaperones to its lowest form .
126 : 7 = dividing number of students and chaperones by 7 gives : 18:1
36 : 2 = dividing number of students and chaperones by 2 gives : 18:1
54 : 3 = dividing number of students and chaperones by 3 gives : 18:1
90 : 4 = dividing number of students and chaperones by 4 gives : 22.5 : 1
108 : 6 = dividing number of students and chaperones by 6 gives : 18:1
It can be seen that it is only 90:4 that does not have the same ratio as that given in the question
alex, bella, cara share £90; work how much each of them have if:
alex has £x
bella has 3 times as much as alex
cara has £10 less than alex
Step-by-step explanation:
given,
alex = x
bella = 3x
cara = x - 10
and also given,
[tex]x + 3x + (x - 10) = 90 \\ x + 3x + x - 10 = 90 \\ 5x - 10 = 90 \\ 5x = 90 + 10 \\ 5x = 100 \\ x = 100 \div 5 \\ = 20[/tex]
Given x = £20,
Alex = £x = £20
Bella = £3x = £3x20 = £60
Cara = £(x-10) =£(20-10) =£10
Haruto gave 42 of his paycheck to his mother. If his paycheck was 855 how much money did he give to his mother
Answer:
813
Step-by-step explanation:
I need help with math asap
um where’s the question?