The approximate standard deviation of the sampling distribution of the proportion is 3.8%.
What is standard deviation?A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean.
A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation implies that data is more spread out.
Now, as per the questions;
Whenever the population size is so very large, the PQ/N factor approaches zero, and the standard deviation equation becomes:
σp = √( PQ/n)
We don't know how so many listeners this same radio station has in this case, but we can assume it's a large number.
P = probability of listening at work, is 14% or 0.14
Q = probability of not listening at work, is (100- 14)% = 86% = 0.86
N = sample size, is 85
The sample standard deviation is then
σp = √(14×.86/85)
σp = 0.0376
σp = 3.8% (approximately)
Therefore, the approximate vale of the standard deviation is found to be 3.8 %.
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The correct question is-
If 14% of the listeners of a radio station listen to it while they are at work, what is the approximate standard deviation of the sampling distribution of the proportion for samples of size 85?
Please do this algebra 2 for me. Please please. You can dm in insta what you want if u solve it just to do this please
Answer:
1231938-481881388111The students at Woodward elementary voted for a school mascot. The falcon won the race 5/8 of the votes and the eagle came seconds with 1/3 of the remaining votes. Is 536 students voted for a mascot, how many students voted for the eagle
It is found that total 67 students voted for eagle.
Two ratios are set to be equal in an equation called a proportion.
Given students at Woodward elementary voted for a school mascot.
Falcon received 5/8 of the vote, winning the post.
Eagle turned up second with 1/3 of the remaining votes.
Total number of students voted for a mascot = 536
The total amount of votes falcon received = 5/8 × 536
= 67 × 5
= 335 votes
Subtract the votes received by falcon from the total number of votes.
= 536 ₋ 335
= 201
Now the remaining votes are 201, from the remaining votes eagle received 1/3 of it.
votes gained by eagle = 1/3 × 201
= 67
Therefore 67 students voted for the eagle.
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Kenny says that to find how fast Spotify is downloading songs, you can always take the number of songs left to download and divide by how long the playlist has been downloading. Do you agree or disagree? Explain.
I do not agree. To find how fast Spotify is downloading songs, divide the number of songs already downloaded by how long the playlist has been downloading.
What is division?Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
For example, assume that you are downloading a playlist that has 100 songs. 80 songs have been downloaded in the past two hours. In order to determine the rate at which songs are downloaded, divide 80 by 2.
Speed = 80 / 2 = 40 songs per hour
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Find the center of mass of the wire that lies along the curve r and has density =4(1 sin4tcos4t)
The mass of the wire is found to be 40π√2 units.
How to find the mass?To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.
The general formula is,
Mass = [tex]\int_a^b \delta\left|r^{\prime}(t)\right| d t[/tex]
To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.
The given integration limits in this case are a = 0, b = 2π.
Now, as per the question;
The equation of the curve is given as;
r(t) = (4cost)i + (4sint)j + 4tk
Now, differentiate this same given curve r ( t ) with respect to t.
[tex]\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}[/tex]
Further simplifying;
[tex]\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}[/tex]
Now, use integration to find the mass of the wire;
[tex]\begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}[/tex]
Therefore, the mass of the wire is estimated as 40π√2 units.
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The complete question is-
Find the mass of the wire that lies along the curve r and has density δ.
r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5
22 17 25 41 39 4
Work out the difference between the two prime numbers in the list above.
The difference between the two prime numbers 17 and 39 is 22.
What are referred as the prime numbers?Prime numbers are those who have only two factors: 1 and the number on its own.
A prime number is a number greater than one with precisely two factors, i.e., 1 as well as the number itself. For example, the number 7 has only two factors: 1 and 7. As a result, it is a prime number. However, the number 6 has four factors: 1, 2, 3, and 6. It is a composite numbers.A prime number is one that is the whole number larger than one.It has only two factors: 1 and the number it's own.There's only the one even prime number: 2.Such a two prime numbers always are co-prime numbers.Every number can be represented as a prime number product.For the number given:
22 17 25 41 39 4
The two primes numbers are 17 and 39.
The difference is 39 - 17 = 22.
Thus, the difference between the two prime numbers is 22.
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Jasmine is 20 years old. Her brother Zac is 6 years more than half her age. Which of the following is the correct expression for Zac's age?
(20 ÷ 2) + 6
(20 ÷ 2) − 6
10 x 2 + 4
10 − (2 x 4)
f) (a² - a + b)(a + b − 2)
Answer:
Step-by-step explanation:
HELP PLS EXPLAIN THISSSS
(image included)
Answer:
The slope is [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
To find the slope, you take 2 points and use rise/run. I used (0,1) and (4,-2) because they look like they are being touched by the line. So by looking at the graph, I have to look at how I can get from (0,1) to (4,-2). So from (0,1), I go down 3 units which makes my number -3, over the run which is 4 units to the right, which makes it positive. so I went down 3 and then went right 4, making this [tex]-\frac{3}{4}[/tex]. You could also use point-slope which means [tex]\frac{y2-y1}{x2-x1}[/tex] or [tex]\frac{-2-1}{4-0}[/tex] which equals the same thing
A loaf of bread 9 in. long is cut into slices 3/8 in. thick.
Answer:
32
Step-by-step explanation:
There is nothing this but the answer is 32.
Simplify fully
4x^2+4x/2x^2-2
Answer:
the answer i got is 2 (x+1) (2x^2-2x+1) / x :)
Answer:
[tex]\frac{2x}{x-1}[/tex]
Step-by-step explanation:
[tex]\frac{4x^2+4x}{2x^2-2}[/tex] ← factor numerator and denominator
= [tex]\frac{4x(x+1)}{2(x^2-1)}[/tex] ← cancel 4 and 2 on numerator/denominator by 2
= [tex]\frac{2x(x+1)}{x^2-1}[/tex] ← x² - 1 is a difference of squares
= [tex]\frac{2x(x+1)}{(x-1)(x+1)}[/tex] ← cancel (x + 1) on numerator and denominator
= [tex]\frac{2x}{x-1}[/tex]
Use the following items to determine the total assets, total liabilities, net worth, total cash inflows, and total cash outflows.
Rent for the month $ 1,390 Monthly take-home salary $ 3,920
Cash in checking account $ 1,340 Savings account balance $ 2,770
Spending for food $ 1,110 Balance of educational loan $ 3,050
Current value of automobile $ 8,020 Telephone bill paid for month $ 85
Credit card balance $ 334 Loan payment $ 143
Auto insurance $ 321 Household possessions $ 3,510
Stereo equipment $ 3,320 Payment for electricity $ 189
Lunches/parking at work $ 204 Donations $ 116
Home computer $ 2,490 Value of stock investment $ 1,160
Clothing purchase $ 139 Restaurant spending $ 223
How do you make the number 38 with 3,4,2,7
Answer:
2*7*3-4
Step-by-step explanation:
It think it works? 14*3 is 42-4 is 38
The size of a dollar bill is 6.6 cm wide, 15.6 cm long and 0.109 mm in thickness. approximately how many dollar bills are in a 0.28 inch stack.
There are 4 dollar bills are in a 0.28 inch stack.
Given that, the size of a dollar bill is width= 6.6 cm, length=15.6 cm and height= 0.109 mm= 0.109/10 =0.0109 cm.
What is the volume of the cuboid?The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height. If we have a rectangular sheet and we go on stacking such sheets, we will end up getting a shape that has some length, breadth, and height. The formula to find the volume of the cuboid = Length × Width × Height.
Now, the volume of a dollar bill=15.6 × 6.6 × 0.0109
=1.122264 cm³
Conversion of cm³ to cubic inches.
That is, 1.122264×0.0610237=0.06848≈0.07
Now, the number of dollars bills=0.28/0.07
=4
Therefore, there are 4 dollar bills are in a 0.28 inch stack.
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Choose the correct scientific notation.1,345,080,000
The scientific notation form of the given number 1,345,080,000 is 1.34508 × 10⁹.
What is the scientific notation form?Given the number in the question;
1,345,080,000
To convert to scientific notation;
First, move the decimal so there is one non-zero digit to the left of the decimal point.
Now, the number of decimal places you move will be the exponent on the 10
Note that; if the decimal is being moved to the right, the exponent will be negative, also, If the decimal is being moved to the left, the exponent will be positive.
1.345080000
We moved 9 decimal places to the left
1.34508 × 10⁹
Therefore the scientific notation form of the given number 1,345,080,000 is 1.34508 × 10⁹.
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I have a series of questions. The faster I get the answer the more point I give.
We have
28 = 2²•7
48 = 2⁴•3
and GCD(28, 42) = 2² = 4.
translate the following statement into an equation and solve for x: the number 80 is the product of "-10" and x
The value of x is -8 in the equation.
How to calculate the equation?It should be noted that the information is that the number 80 is the product of "-10" and x.
This will be represented as:
-10 × x = 80
-10x = 80
Divide both side by -10
-10x/-10 = 80/-10
x = -8
Therefore, the value of x is -8.
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help. Solve for x and show work
Answer: i belive x=1
27-28=1
2x-x
x
Step-by-step explanation: hope this helps
#14: m∠EFD = ____°
need answer
The value of ∠EFD is 107 ° as this angle is part of a linear pair .
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.
Given the two angles are ∠EFD and ∠DFG .
Now as they are on a straight line they form a linear pair .
As a part of a linear pair their sum add up to 180°.
Now substituting the given values :
11x - 3 + 6x + 13 = 180
or, 17 x + 10 =180
or, 17 x = 170
or, x = 10
Therefore the value of the ∠EFD is given as 11x - 3 = 110 - 3 = 107° .
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Given j(-8,-5) and l(6,-11) if k(r-4,2s) is the midpoint of jl which correctly gives the values of r and s?
The values of r and s is -1 and -4 respectively.
Given that:-
coordinates of j are (-8,-5)
coordinates of l are (6,-11)
coordinates of k are (r-4,2s)
Also, k is the mid-point of jl.
We have to find the values of r and s.
We know that, for (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).
Here,
(x,y) = (-8.-5)
(z,w) = (6,-11)
(r-4,2s) = ((x+z)/2,(y+w)/2)
Hence,
(r-4,2s) = ((-8+6)/2,(-5-11)/2)
(r-4,2s) = (-1,-8)
Comparing the coordinates, we get:-
r - 4 = -1
r = -1+4 =3
2s = -8
s =-8/2 = -4
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An ordinary deck of 52 cards is shuffled. what is the probability that the top four cards have (a) different denominations? (b) different suits?
The different denomination is 0.6761
The different suits are 0.1055
What are deck of cards consist of?A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king. Thus the entire deck has 52 cards total.
Given:
Deck of cards= 52
Now,
There are 4 denomination in each cards
and there are 4 suits in deck of cards
a) different denominations
=52*48*44*40/(52*51*50*49)
= 0.6761
b) different suits
=52*39*26*13/ /(52*51*50*49)
= 0.1055
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Simply completely:
5y(xy^3)^2
Answer:
5y^7x^2
Step-by-step explanation:
5y (xy^3)^2
apply product rule: xy^3
5y(x^2(y ^3)^2)
multiply exponents: (y^3)^2
5y(x^2y^6)
Add exponents: y and y^6
5y^7x^2
33. In this code puzzle each letter has a different numerical value. The totals for each word are reached by adding together individual values. What is the total value of the word ENTREE?
tea = 30
neat = 50
tan = 40
ten = 35
tear = 55
Answer:
tear 35 is ans
pla mark me brainliest ans
Answer:
Hello,
Answer 80
Step-by-step explanation:
[tex]\left\{\begin{array}{cccc}t+e+a&=&30&(1)\\n+t+e+a&=&50&(2)\\t+a+n&=&40&(3)\\t+e+n&=&35&(4)\\t+e+a+r&=&55&(5)\end{array} \right.\\\\\\\left\{\begin{array}{cccc}n&=&20&(2)-(1)=(6)\\t+a&=&20&(7)\\t+e&=&15&(8)\\r&=&25&(5)-(1)=(9)\\t+e+a&=&30&(1)\end{array} \right.\\\\\\\left\{\begin{array}{cccc}n&=&20&(6)\\t&=&5&(7)+(8)-(1)=(10)\\a&=&15&(7)\ and \ (10)\\e&=&10&(8)\ and \ (10)\\r&=&25&(9)\\\end{array} \right.\\[/tex]
[tex]\\\\\boxed{ENTREE=3*e+n+t+r=3*10+20+5+25=80}\\[/tex]
How many triangles exist with the given side lengths? 7 in, 7 in, 7 in A. No triangle exists with the given side lengths. B. Exactly one unique triangle exists with the given side lengths. C. More than one triangle exists with the given side lengths.How many triangles exist with the given side lengths? 7 in, 7 in, 7 in A. No triangle exists with the given side lengths. B. Exactly one unique triangle exists with the given side lengths. C. More than one triangle exists with the given side lengths.
Answer:
B. Exactly one unique triangle exists with the given side lengths
Step-by-step explanation:
A triangle has three sides. So if all three sides are the same in length then it is a equilateral triangle. Which means that only one triangle can be formed.
I hope this helps!! Have a good day :D
What is the value of 5 x 3 + 4 y 3 when x=4 and y=3?
Answer:
96
Step-by-step explanation:
The table shows the amount a restaurant is donating to a local school based on various dinner bills. Is the amount of donation proportional to the dinner bill? If so, what would be the donation for a dinner bill of $50? If not, explain.
The ratio of the donation to the bill in a table from a similar question is constant, which gives;
The amount donated is proportional to the dinner billIf the dinner bill is $50, the amount donated will be $9How can a professional relationship between the variables be established?The possible values in the table as obtained from a similar question are as follows;
Dinner Bill ($) Donation ($)
25 4.50
30 5.40
35 6.30
40 7.20
Let B represent the dinner bill, and let D represent the donation.
The amount of donation is proportional to the dinner bill if each corresponding value of D/B is constant.
Checking gives;
4.5/25 = 5.4/30 = 6.3/35 = 7.2/40 = 9/50
Which gives;
D/B = 9/50
D = 9/50 × BTherefore
The amount donated is proportional to the dinner billIf the dinner bill is $50, we have;
B = 50
Which gives;
D = 9/50 × 50 = 9
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If I spend $35 every 2 weeks, how much do I spend in a year?
A dangling modifier
defines a noun or verb somewhere in a sentence
does not clearly describe a word or phrase in a sentence
enhances a target word or phrase in a sentence
is a phrase loosely attached to the end of a sentence
Answer:
does not clearly describe a word or phrase in a sentence
Step-by-step explanation:
Not sure that this is math but...
Answer:
The answer is B
Step-by-step explanation:
B) does not clearly describe a word or phrase in a sentence
2173 rounded to neatest hundred
Answer:
2200
Step-by-step explanation:
that is the answer jf
Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by _____ random variables.
Experimental outcomes that are based on measurement scales such as time, weight, and distance can be described by Continuous random variables.
What is Continuous Random Variable ?
A continuous random variable is one which takes an infinite number of possible values. Continuous random variables are usually measurements. Examples include height, weight, the amount of sugar in an orange, the time required to run a mile.
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Lesson Performance Task
The sun is an excellent source of electrical energy. A field
of solar panels yields 16.22 Watts per square feet. Determine
the amount of electricity produced by a field of solar panels
that is 305 feet by 620 feet.
Answer:
electricity produced will be 3067202 watt
Step-by-step explanation:
solar panels yields 16.22 Watts per square feet
area of field= 305*620 [area=length*breath]
=189100
electricity produced will be
189100*16.22
=3067202 watt
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