Find The distance between the pair of points
G(0, - 5) and H(0, - 10
Answer:
5
Step-by-step explanation:
Suppose that 8% of college students are vegetarians. Determine if the following statements are true or false, and explain your reasoning.
a. The distribution of the sample proportions of vegetarians in random samples of size 60 is approximately normal since n >= 30.
b. The distribution of the sample proportions of vegetarian college students in random samples of size 50 is right skewed.
c. A random sample of 125 college students where 12% are vegetarians would be considered unusual.
d. A random sample of 250 college students where 12% are vegetarians would be considered unusual.
e. The standard error would be reduced by one-half if we increased the sample size from 125 to 250.
Step-by-step explanation:
we have p=proportion of vegetarian students=0.08
a. FALSE.
for normal approximations we must have np>=5 and n(1-p)>=5
here n=60 so np=60*0.08=4.8 which is less than 5.
hence normal approximation is not applicable.
b. TRUE.
for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p
here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.
c. FALSE.
here, n=125 which is quite large. hence normal approximation is applicable.
let phat be the sample proportion
then phat approximately follows a normal distribution with E[phat]=p=0.08
and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888
hence standard deviation=sqrt(0.0005888)=0.0242652
hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]
12%=0.12 lies in this effective range.
hence it is not unusual.
In this exercise we have to classify whether the statements are true or false:
a) False
b) True
c) False
d) False
e) False
We have: [tex]p=proportion of vegetarian students=0.08[/tex]
a) FALSE.
For normal approximations we must have:
[tex]np\geq 5 \\n(1-p)\geq 5[/tex]
Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex] which is less than 5. Hence normal approximation is not applicable.
b)TRUE.
For binomial proportion , the distribution is right skewed if :
[tex]1-2p>0 \\ 0.5>p[/tex]
Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.
c) FALSE.
Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:
[tex]E[phat]=p=0.08[/tex]
and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]
Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]
hence effective range of phat is:
[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]
12%=0.12 lies in this effective range. Hence it is not unusual.
d) FALSE.
e) FALSE.
See more about proportion at : brainly.com/question/8704765
The product of 9 and the sum of a number and 4.
PLease help
Answer:9*(n+4)
Step-by-step explanation:
Product means multiply
sum means add
We do the sum first
Let n be the unknown number
sum of a number and 4.
(n+4)
now do the product
9*(n+4)
Your credit card has an annual percentage rate of 16.99%. The current balance on your credit card is $2,140.40. What is your new account balance after finance charges are applied?
PLEASE HELP! I WILL GIVE 5 STARS, A THANKS, AND BRAINLIEST IF CORRECT!
A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?
A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.
A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of three packs.
A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of three packs.
A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of two packs.
Answer:
The answer would be C: Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Step-by-step explanation:
baby yoda needs help
Answer:
= 162
1782 divided by 11 equals
162 with a remainder of 0
Solution:
162
11[tex]\sqrt[n]{x}[/tex]1782
-11
------
68
66
--------
22
-22
Step-by-step explanation:
Given a center of (3,-5) and a radius of 4, write an equation for the circle.
Answer:
(x-3)²+(y+5)²=16
Step-by-step explanation:
[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]
The equation above is an equation of circle with a centre at (h,k) and has radius = r
Substitute h = 3, k = -5 and r = 4 in the equation.
[tex] \large{ {(x - 3)}^{2} + {(y - ( - 5))}^{2} = {4}^{2} } \\ \large{ {(x - 3)}^{2} + {(y + 5)}^{2} = 16}[/tex]
Write the decimal 0.0768 in words
Answer:
seven hundred sixty eight ten thousandths
Step-by-step explanation:
Answer:
Seven hundred sixty-eight ten-thousandths
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Robert wrote 27 checks in April. The bank charges $0.18 a check. The monthly service charge for the checking account is $7. What is the total of the fees Robert pays in April on his checking account?
Answer:
his fees that he will pay in april on his checking account is 34.02$
Step-by-step explanation:
Where do I put the parentheses in 21-8-6=7
Answer:
around 21-8 so the equation would look like this (21-8)-6=7
Step-by-step explanation:
you do this because if u put the parentheses around 8-6 you would get 21- (8-6)= 19 because 21 - 2 = 19 so you have to put them around 21-8 to get the right answer
solve the following equations
simultaneously;
2x-3y=0
2x-y=8
Answer:
x=6 y=4
Step-by-step explanation:
So, what I did was change positions of 2x to -2x=0-3y -2x=-8-y. Because -2x equal to two equations, I did -3y=-8-y. Once simplified, that equals to y=4. I plugged in to 2x-y(or 4)=8. Once that was simplified, 2x=12 or x=6.
A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million. P = Aekt Enter the correct answer.
Answer:
184
Step-by-step explanation:
The table below shows Abigail's earnings on the job.
1 pts
Time (hours) Earnings (dollars)
21
$709.80
23
$777.40
35
$1183
What is the unit rate or Constant of Proportionality shown in this table?
How much money does Abigail earn for each hour that she works?
Answer:
Option (2)
Step-by-step explanation:
In this question we have to calculate the rate of earning or proportionality constant of Abigail.
Since, earning of Abigail (y) ∝ Time worked (t)
y = kt
Here, k = Proportionality constant
From the table attached,
If y = $709.80 and x = 21 hours
709.80 = 21k
k = [tex]\frac{709.8}{21}[/tex]
k = $33.80 per hour
Therefore, rat of earning or proportionality constant is $33.80
Option (2) will be the correct option.
Give the most precise name for the quadrilateral. Then, find x and y.
a) square x=64 y=4
b) rhombus x=27 y=4
c) square x=27 y=4
d) rhombus x=64 y=20
e) parallelogram x=27 y=20
Answer:
B
Step-by-step explanation:
(2x - 1) + (2x - 1) + 127 + 127 = 360
n/b : opp angles of a rhombus are equal, sum of the interior angles of a quadrilateral is 360 and all sides of a rhombus are equal.
(4x - 2) + 254 = 360
4x - 2 + 254 = 360
4x = 360 - 252
4x = 108
x = 108/4
x = 27
6y - 3y = 3y + 7
6y - 3y = 7 + 5
3y = 12
y = 12/3
y = 4
write - 5R - 5U in polar form
Answer:
(r,0)
Step-by-step explanation:
5r - 5u = 5(r - u)
Polar time coordinate = 0
So (r, 0)
what is
14+6×(9−6)
PLEASE HELP MEE
[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]
[tex]174[/tex]
[tex]\large\purple{ChaEunWoo2009}[/tex]
#CarryOnLearning
Find the unknown number 3m = 0.27
Answer: 0.09
Step-by-step explanation:
Divide 0.27 by 3
M=.09
csc\theta -cot\theta =\frac{sin}{1+cos\theta }
Answer:
Step-by-step explanation:
Left Hand Side
Change to sin(theta) and cos(theta)
csc(theta) = 1/sin(theta)
cot(theta) = cos(theta)/sin(theta)
1/sin(theta) - cos(theta)/sin(theta) Put over Sin(theta) Common denominator
[1 - cos(theta)] / sin(theta) Multiply numerator and denominator by 1 + cos(theta)
(1 - cos(theta)(1 + cos(theta) ) / sin(thata)*(1 + cos(theta))
(1 + cos(theta)(1 - cos(theta)) = 1 - cos^2(theta)
sin^2(theta) / (sin(theta)* ( 1 + cos(theta)
sin(theta) / (1 + cos(theta) )
Right hand Side.
See Above.
Two families are saving money for a vacation. The Juarez family has saved $1000 and will save $50 more each week. The Kim family has saved $500 and will save $75 more each week. Write a system of equations to represent how much money each family will save.
Answer:
There are many ways you could put this let me demonstrate.
Step-by-step explanation:
If they were to do this for a year (52 weeks) that would be 50x52=2600+1000=3600. Then 75x52=$3900+500=$4400. but if you were to cut that time in half to 6 months it would go something like this. 50x26=1300+1000=2300. Then 75x26=1950+500=2450. It all has to do with the time. I hope this helped.
solve the proportion for x. 12/x = 15/24
Answer:
i think x is 19.2
Step-by-step explanation:
solve x by cross multiplying
Please help meeeeeeeeeeeeeeeeeeeee
Answer:
64 g
Step-by-step explanation:
Lets gather the Info
Amount needed = 161 g
Amount given = 97 g
Lets form an equation:
161 - 97 = x
x in this case is the number of grams needed to fulfill the amount needed.
161 - 97 = 64 g
He needs 64 g of cheese.
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Help with number 3 please :)
Answer:
32
You’re... welcome?
Answer:
32
Step-by-step explanation:
The guest column is increasing at a rate of 8, so naturally, the next number would be 32. The cookie column is increasing by 3.
What is the shape of the cross-section formed when a cone intersects a plane as shown in the drawing
Answer:
triangle
Step-by-step explanation:
only look at the cut off part
Answer:
I believe that the shape is formed to be a circle
Brainliest for correct answer
Answer:
similiar and congruent
Step-by-step explanation:
A car travels a distance of 190 miles in 4
hours and 45 minutes.
Work out the average speed of the car, in
miles per hour.
Answer:
Speed = 40 miles/hourStep-by-step explanation:
Distance (d) = 190 miles
Time (t) = 4 hr 45 min = 19 / 4 hours
Speed = distance / time
= 190 / (19/4)
= 40 miles/hour
The average speed is the total distance traveled by the object in a particular time interval.
The average speed of the car in miles per hour is 40 miles per hour.
What is an average speed?The average speed is the total distance traveled by the object in a particular time interval.
We have,
Distance traveled in 4 hours and 45 minutes = 190 miles
Time = 4 hours and 45 minutes
This can be written in hours as:
= 4.75 hours
Average speed:
= Total distance / Total time
= 190 miles / 4.75 hours
Divide both the numerator and denominator by 4.75
= (190/4.75) / (4.75/4.75)
= 40 miles / 1 hour
Thus the average speed of the car in miles per hour is 40 miles per hour.
Learn more about average speed here:
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What number should be added to both sides of the equation to complete the square? x^2-40x=0
Answer:
+40
Step-by-step explanation:
Answer:
400
Step-by-step explanation:
When completing the square, all you need to do is take half the coefficient of x, and square it.
In this case the coefficient of x is -40, and half of that is -20. -20 squared is 400, and that is what you need to add to both sides.
Note that when completing the square, you'll always be adding a positive number unless coefficient you're working with is an imaginary or complex number.
Can someone please help ?
what is the equation of the line that passes through the point (-5, 1) and has a slope of -6/5?
Answer:
y = -6/5x - 5
Step-by-step explanation:
Use rise over run to find the slope of the line, and the -5 comes from the y-intercept
If the length of a diagonal of a square is 10 feet what is the length of a side of the square
the answer is 10ft hope I helped
Use the distributive property to simplify 3 + 5c(2 + 6c) completely.
Answer:
Distributive property says that:
(A + B)*C = A*C + B*C
Now let's try to use it in our expression:
3 + 5*c*(2 + 6*c)
Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:
3 + (5*c)*2 + (5*c)*(6*c)
Now remember that the multiplications are associative and commutative, then we can write this as:
3 + (2*5)*c + (5*6)*(c*c)
3 + 10*c + 30*c^2
And we can't simplify it anymore.