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In a population of 9500 subjects, 72% possess a certain characteristic. In a sample of 400 subjects selected from this population, 73% possess the same characteristic. How many subjects in the population and the sample, respectively, possess this characteristic?
Answer:
Population = 6840 subjects
Samples = 292 subjects
Step-by-step explanation:
In a population of 9500 subjects, 72% possess a certain characteristic.
The number of subjects in the population with this characteristics =
9500 × 72%
= 6840 subjects
In a sample of 400 subjects selected from this population, 73% possess the same characteristic.
The number of subjects in this sample with this characteristics is :
400 subjects × 73%
= 292 subjects
6840 subjects in the population posses this characteristic, while 288 subjects in the sample posses this characteristic
The given parameters are:
[tex]\mathbf{n = 9500}[/tex] --- population
[tex]\mathbf{x = 400}[/tex] -- sample size
[tex]\mathbf{p =72\%}[/tex] ---- the proportion
The number of subjects that posses the characteristics is simply the average of the sample or the population.
For the population, the average is calculated as:
[tex]\mathbf{\mu =np}[/tex]
So, we have:
[tex]\mathbf{\mu =9500 \times 72\%}[/tex]
[tex]\mathbf{\mu =6840}[/tex]
This means that:
6840 subjects in the population posses this characteristics
For the sample, the average is calculated as:
[tex]\mathbf{\bar x=px}[/tex]
So, we have:
[tex]\mathbf{\bar x=72\%\times 400}[/tex]
[tex]\mathbf{\bar x=288}[/tex]
This means that:
288 subjects in the sample posses this characteristics
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Find the number of distinguishable permutations of the word "VANQUISH".
Answer:
40320
Step-by-step explanation:
no . of permutation of n different things taken all together is given by n!
n! = n*(n-1)*(n-2).......3*2*1
given that
we have to find number of distinguishable permutations of the word "VANQUISH"
here n = number of different letters in vanquish = 8
thus,
required permutation = 8! = 8*7*6*5*4*3*2*1 = 40320
Craig hired 3 high school students to work for his dog walking business. This week, they walked a total of 31 dogs.
Allyson walked 5 less dogs than Brooke.
Carlos walked 3 more dogs than Brooke.
How many dogs did Carlos walk this week?
o Carlos walked 6 dogs.
o Carlos walked 8 dogs.
O Carlos walked 11 dogs.
o Carlos walked 14 dogs.
Answer:
Carlos walked 14 dogs
Step-by-step explanation:
Let x denotes number of dogs that Carlos walked this week.
As Allyson walked 5 less dogs than Brooke,
Number of dogs that Allyson walked = [tex]x-5[/tex]
As Carlos walked 3 more dogs than Brooke,
Number of dogs that Carlos walked = [tex]x+3[/tex]
Also, total number of dogs walked this week is equal to 31.
So,
[tex]x+x-5+x+3=31\\3x-2=31\\3x=31+2\\3x=33\\x=\frac{33}{3}\\ x=11[/tex]
Therefore, Carlos walked [tex]x+3=11+3=14[/tex] dogs
What is the value of -| -3|?
Answer:
-3
Step-by-step explanation:
there is a - outside of the |-3| so it would be -3
(Math) Click for picture.
Answer:
Parallel lines
Step-by-step explanation:
They are on the same place but don't intersect.
Lora Lungs drove her camper at 45 miles per hour for 4 hours and a half. How far did she drive?
202.5 milessssssssssss
Help ME! solve for ∠K.
Answer:
45
Step-by-step explanation:
Every Triangle has 180 degrees.
x + 8x + 3x = 180
12x = 180
x = 180/12
x = 15
Angle K = 3x
K = 3 * 15
K = 45
A military commander has been assigned the task of defending an asset from enemy air attack. Commander has two types of air defense missiles; 5 missiles each of type I and type II are available for deployment. Each type I missile costs 7 units for installation and each type II missile costs 8.5 units for installation. The total budget available is 60 units. Each type I missile requires 6 persons for handling whereas each type II requires 2 persons. There are only 32 trained persons to handle the missiles at the site. If the site is not defended the enemy aircrafts are estimated to destroy 95% of the asset value. If one type I missile is deployed on the site, it is expected to save 13% of the asset value. Similarly, deployment of one type II missile is estimated to save 9% of the asset value. In other words, the enemy aircrafts which were earlier capable of destroying 95% of the asset value are able to destroy 82% of the asset value in the presence of one missile of type I and 86% of the asset value in the presence of one missile of type II. Formulate an LP to determine the mix of missiles that provides maximum protection to the asset against an attack of enemy aircrafts aiming simultaneously.
Step-by-step explanation:
we have A and B
for A,
95-82 = 13
for B,
95-86 = 9
cost of A = 9
cost of B = 8.5
total = 60
for person
A = 6,
B = 2
Total = 32
setting up objective function:
13x + 9y
constraints:
0≤x≤5, 0≤x≤5
7x + 8.5y ≤ 60
6x + 2y ≤ 32 this can be reduced by 2
3x + y≤16
this would take us to a bounded region which has the corner points and the objective values in the attachment i added.
explain rational numbers
Answer:
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever)
plz mark brainliest
Help on this please
ASAP
Answer: I think it is the second choice. The others don't make sense
Step-by-step explanation:
Answer:
It is the second one because an even number issss
Step-by-step explanation:
a number that can be divided by two right so all numbers can be divided by two but we need numbers that will be divided by two with NOTHING remaining.
John purchased a membership at a new gym. To join he had to pay an initial fee of $80 plus $20 per month. For one year his cost is $320. Identify the rate of change. ANSWER CHOICES ON PICTURE
Answer:
12
Step-by-step explanation:
It's 12, because you would multiply the monthly rate (20) by the number of months in a year (12) because the question asks "for one year".
20*12=240
240 +80 = 320
Which graph does not represent a function ?
Answer:
D
Step-by-step explanation:
D is not a function because x's repeat. Each x value should have its own unique y value. The graph also fails the vertical line test, meaning that if you were to draw a vertical line anywhere on the graph it would intersect with more than one point.
Traditionally, the earth's surface has been modeled as a sphere, but the World Geodetic System of 1984 (WGS-84) uses an ellipsoid as a more accurate model. It places the center of the earth at the origin and the north pole on the positive z-axis. The distance from the center to the poles is 6356.523 km and the distance to a point on the equator is 6378.137 km. Meridians (curves of equal longitude) are traces in planes of the form y=mx.
Required:
a. Find an equation of the earth's surface.
b. What is the shape of these meridians?
Answer:
a) x²/(6378.137)² + y²/(6378.137)² + z²/(6356.523)² = 1
b) x²/(6378.137)²/(1+m²) + z²/(6356.523)² = 1
Step-by-step explanation:
a)
We know that the general equation of the ellipsoid with center at the origin is
x²/a² + y²/b² + z²/c² = 1
Since the north pole is along the z-axis and north pole is at a distance of 6356.523 km from the center, so c = 6356.523
And the distance between center to a point on the equator is 6378.137 km so we have, a = b = 6378.137
Thus, the equation of the earth's surface as used by WGS-84 is
x²/(6378.137)² + y²/(6378.137)² + z²/(6356.523)² = 1
b)
Meridians are traces in planes of the form y=mx, so the equation of paraboloid gives;
x²/(6378.137)² + m²x²/(6378.137)² + z²/(6356.523)² = 1
x²/(6378.137)²/(1+m²) + z²/(6356.523)² = 1
Simplify the expression.
5.15/5
Value of the expression 5.15 / 5 is equals to 1.03.
What is expression?
" An expression in mathematics is a representation of two or more numbers or variables which are connected by mathematical operation."
According to the question,
Given expression 5.15 / 5
= 1.03
Hence, value of the expression 5.15 / 5 is equals to 1.03.
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help me with this math question please !!!
Answer:
1: x+12
Step-by-step explanation:
You know she was born in 2008, and the current year is 2020, so you do 2020-2008 which equals 12
A teacher divides 12 oranges equally among her 16 students. How many oranges does each student receive
(A) 1/16
(B) 1/12
(C) 3/4
(D) 4/3
Answer:
C: 3/4
Step-by-step explanation:
You can go on to google calculator and find out the answer by 12/16.
Answer:
(C) 3/4
Step-by-step explanation:
Hope this helps you! Tell me are you in [tex]K^{12}[/tex]?
Because I can see kahoot and state testing. Am just asking. Not to be mean. Hope this helps! Plz mark brainlest!
Joe traveled 125 miles in 5 hours. How many miles would he travel in 1 hour?
Answer:25
Step-by-step explanation:
The distance traveled by Joe in 1 hour is required.
The distance Joe would travel in 1 hour is [tex]25\ \text{miles}[/tex]
SpeedDistance traveled by Joe in 5 hours is 125 miles.
[tex]5\ \text{hours}=125\ \text{miles}[/tex]
Divide by [tex]5[/tex] on both sides
[tex]1\ \text{hour}=\dfrac{125}{5}=25\ \text{miles}[/tex]
The speed of Joe is [tex]25\ \text{miles/h}[/tex]
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3 ice cream cones cost 8.25 at this rate how much do 2 ice cream cones cost
7th grade math help me plzz
Answer:
4+ (-7)
Step-by-step explanation:
To get to -3 from 4, first how far away is -3 from 4. It is 7 units away. If you wanted to get -3 from 4 then you have to subtract 7 from 4. Which is 4-7. 4-7 is the same as 4+(-7)
A banker earns a $75,000 annual salary, a 2.35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of $2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar?
A) $140,800
B) $186,463
C) $152,875
D) $151,113
Answer:
D
Step-by-step explanation:
Using the distributive property
49×17+49×3=
Answer:
980
Step-by-step explanation:
49×17+49×3=
Factor the Expression
49(17+3)
Add the numbers
49x20
Multiply the numbers and you should end up with 980
y + x = 11
solve for y
Y can equal 5 or 6 and many different numbers.
Same with x.
6+x=115+x=11Lets fill in x and y in both.
6+5=115+6=11.The school secretary orders a new printer and pays $310.30 after tax. The tax rate is 7%. What was the original price of the printer?
Answer:
$288.58
Step-by-step explanation:
310.30/100=3.10
3.10*7=21.72
310.30-21.72=288.58
Therefore the answer is $288.58
Answer:
It's 290
Step-by-step explanationI guessed and it was correct.
first person to answer will get brainliest.
Answer:
the first one because x's don't repeat in this one
Step-by-step explanation:
What is the square root of -360
Answer:
6i√10
18.9737i
Step-by-step explanation:
√-1 = imaginary number i
Step 1: Define
√-360
Step 2: Factor
√-1 · √360
Step 3: Simplify
i · 6√10
Step 4: Multiply
6i√10
Step 5: Evaluate
18.9737i
the book fair raises $250 per day for school. show table and equation
Answer:250 day 1. 500 day 2 750 day 3
Step-by-step explanation:
The breakfast cafe uses 3 1/4 lb of coffee per day. How much coffee does it use ina 7 day week?
Answer: 22 3/4
Step-by-step explanation:
3 x 7 = 21
1/4 x 7 = 7/4 = 1 3/4
1 3/4 + 21 = 22 3/4
I hope this helps!
Consider the effect of the transformation (x,y) to (x,2y) on the parallelogram ABCD with vertices A (0,0), B(1,1), C(3,1), D(2,0). Select true or false for each statement. A. The transformation preserves parallelism A True B False B. The transformation preserves distance A True B False C. The transformation preserves angle measure A True B False
Step-by-step explanation:
A'(0,0),B'(1,2),C(3,2),D(2,0)
it is a parallelogram.
vertical distance is doubled. so false.
angle changes so false.
Math vocabulary what is The definition of increasing and decreasing functions
Round to the place value of the underlined digit 862, 840. The 6 in 862,840
Answer:
860,000
Step-by-step explanation: 2 is less than 5 so you would round down
Scores on a mathematics assessment test for eighth-graders have a mean of 283, a 10th percentile of 232, a 25th percentile of 255, a 75th percentile of 304, and a 90th percentile of 327. Interpret each of these numerical descriptive measures. Interpret the mean value of 283. Choose the correct answer below. A. For this problem, the mean value of 283 represents the variation in the test scores on a mathematics assessment test for eighth-graders. B. For this problem, the mean value of 283 represents the range of test scores on a mathematics assessment test for eighth-graders. C. For this problem, the mean value of 283 represents the average test score on a mathematics assessment test for eighth-graders. D. For this problem, the mean value of 283 represents the middle test score when the scores are arranged in ascending (or descending) order.
Answer:
C ) For this problem, the mean value of 283 represents the average test score on a mathematics assessment test for eighth-graders.
Step-by-step explanation:
10 th percentile of 232
10 % below 232 and 90 % above 232
25 th percentile of 255
25 % below 255 and 75 % above 255
75 th percentile of 304
75 % below 304 and 25% above 304
90 th percentile of 327
90 % below 327 and 10 % above 327 .
So counting is from below to above in ascending order .
the mean of 283 represents the average of the test score
Hence option C ) is correct .
The score of the mathematics test for the 8th class have a mean of 283 and the 10th percentile of 232, a 25th percentile of 255 nd so on.
As per the question the 10 th percentile of 232 , hence the 10 % below 232 and 90 % above 232 . The 25 % below 255 and 75 % above 255 , 75% below 304 and 25% above 304. The 90 % below 327 and 10 % above 327 . So in ascending order the mean of 283 represents the average of the test score. Hence the option C is correct.Learn more about the mathematics assessment test for eighth-graders.
brainly.com/question/13077019.