Answer:
1/10
Step-by-step explanation:
You are interested in finding a 90% confidence interval for the average number of names that people can correctly recall after being introduced to 40 people at a party. Based on past research, you know that the standard deviation for this number is 6.34 names. Suppose you surveyed 55 randomly selected people and found that they correctly remembered an average of 18.16 names. The standard deviation for this group was 4.28 names. Round your answers to two decimal places.
A. The sampling distribution follows a __________ distribution.
B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between ______ and _______
C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About _____ percent of these confidence intervals will contain the true population mean number of names remembered and about ______ percent will not contain the true population mean number of names remembered.
Answer:
A. The sampling distribution follows a normal distribution
B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28
C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About 90 percent of these confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered
Step-by-step explanation:
The given parameters are;
The known population standard deviation of the number of names that people can recall after being introduced to 40 people in a party, σ = 6.34 names
The number of people randomly selected in the survey, n = 55 people
The average number of names correctly remembered, [tex]\overline x_1[/tex] = 18.16
The standard deviation of the group surveyed, s = 4.28
A. Based on the Central Limit Theorem CLT, the sampling distribution follows a normal distribution
B. The 90% confidence interval is given as follows;
[tex]C.I.=\bar{x}\pm z_{\alpha /2}\cdot \dfrac{\sigma}{\sqrt{n}}[/tex]
Where [tex]z_{\alpha /2}[/tex] at 90% = 1.65, we have;
[tex]C.I.=18.16\pm 1.65 \times \dfrac{4.28}{\sqrt{55}}[/tex]
C.I. ≈ 17.20 < μ < 19.11
With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28
C. The 90% confidence interval gives the certainty that if different groups of 55 randomly selected people were surveyed, then about 90 percent of the confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered.
170% of what number is 40?
Provide and exact fraction answer
Answer: 23.53
Step-by-step explanation:
We have, 170% × x = 40
or,
170
100
× x = 40
Multiplying both sides by 100 and dividing both sides by 170,
we have x = 40 ×
100
170
x = 23.53
If you are using a calculator, simply enter 40×100÷170, which will give you the answer.
Find 33⅓% of ⅘ of $4.50.
Choose the correct phrase for 8n
A 8 plus n
B 8 divided by n
C 8 times n
I need help on this ASAP
75cm²
Explanation:
10 times 15 is 150 and since it is a triangle you divide in half so the answer is 75. And in this case the 18 is not needed.
Answer:
75cm²
Step-by-step explanation:
The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. But in this case, there are three sides.
To find the area of a triangle with 3 sides given as 10, 15, and 18, we assume that a = 10, b = 15, and c = 18.
Then the semi-perimeter is, s = (a + b + c)/2 = (10 + 15 + 18)/2 = 21.5. We will find the area of the triangle using Heron's formula.
A = √[s(s-a)(s-b)(s-c)]
= √[8(21. 5-10)(21.5 -15)(21. 5-18)]
= √[21.5 × 11.5 × 6.5 × 3.5]
= √(5625)
≈ 7.5
Please answer!(20pts) Each month your parents deposit $75 into your college fund. The account pays an annual rate of 3.5% compounded monthly. to the nearest whole dollar, how much will be in your college fund after 12 years?
Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......
Answer:
486
Step-by-step explanation:
for the 2nd term, add 5 to -9
for the 3rd, add 5 × 2 to -9
for the 4th, add 5 × 3 to -9
:
for the 100th, add 5 × (100 - 1) to -9
=> 5 × 99 + (-9)
=> 486
The lenths of the 2 legs of right triangle abc show below are given in inches. The midpoint of ab is how many inches from A ?
Answer:
Option B
Step-by-step explanation:
The complete question is attached
As we can see in the image , ABC is a right angle triangle
Thus as per Pythagorean theorem, to find line AB
AB2 = 322 + 242
AB2 = 1024 + 576
AB2 = 1600
Taking square root of both the sides, we get –
AB = √1600
AB = 40
The mid point of AB = AB/2 = 40/2 = 20
Hello! Please help me. Huhu
determine what number should be in the box so that each equation is true and each equation has at least one negative number
Answer:
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST
Suppose that x and y vary inversely and that x = 30 when y = 2
1) Write a function that models the inverse variation.
2) Find x when y = 12
Answer:
1. x is inversely proportional to y
x=k/y
k is the constant of proportionality
x =60/y
2. x=60/y
x=60/12
x=5
A number "X" greater than 8
Answer:
X > 8
Step-by-step explanation:
Using the keywords greater than helps you.
I need help, please anyone!
PLSS HELP ME I AM GOING TO CRY IF I DONT GET THIS ANSWER PLSS HELP ME What is the slope-intercept equation of the line below?
Answer:
y = -3x + 4
Step-by-step explanation:
Hey!
==================================================================
Slope-Intercept Form: y - mx + b, where m is the slope and b is the y-intercept (point where x =0).
Since we know that the slope is -3, we substitute that in for m.
⇒y = -3x + b
Now, we know the y-intercept is 4, so we substitute that in for b:
⇒y = -3x + 4
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
answer this question for 50 points
Answer:
It should be b
Step-by-step explanation:
A NASA test rocket is launched from the top of a 101 foot cliff with an initial
velocity of 116 feet per second. The function h(t) = -16t2 +116t + 101 gives the
height, h(t), in feet of the rocket t seconds after it's launched.
How long does it take for the rocket to reach the ground?
Answer:
4.018secs
Step-by-step explanation:
Given the height reached by the test rocket by the expression
h(t) = -16t^2 +116t + 101 gives the
The rocket will reach the ground when h(t) = 0
Substitute h(t) = 0 into the expression
0 = -16t^2 +116t + 101
Multiply through by -1
16t^2 -116t - 101 = 0
Factorize using the general formula
t = 116±√(116)²-4(16)(-101)/4(16)
t = 116±√(13,456+6,464)/64
t = 116±√(19,920)/64
t = 116±141.138/64
t = 116+141.138/64
t = 257.138/64
t = 4.018secs
Hence it will take the rocket 4.018secs to reach the ground
PLEASE HELPP ILL GIVE BRAINLIEST
What is the commission rate for a car salesman who earned $1500 in commission on a 25,000 car?
Answer:
6%.
Step-by-step explanation:
BIG BIG POINTS!!!!!! PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! Will mark BRAINLIEST!!!!!!!!!!!! HELP ME PLEASEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A) Use the distance formula to find the length of each side, and then add the lengths.
B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.
C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.
D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
A) Use the distance formula to find the length of each side, and then add the lengths.
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Xochitl sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
313 visitors purchased no costume.
32 visitors purchased exactly one costume.
23 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.
Answer: 0.09
Step-by-step explanation:
;)
Hilary made an origami dog. What is the area of the
parallelogram highlighted in the origami figure?
Answer: 9.44 cm
Step-by-step explanation:
A = b × h
A = 4 × 2.36
A = 9.44 cm
To find the area of a parallelogram, the formula to use is A = b × h.
Use the given equation to complete the table s = 16t^2 using the points from the table select the graph the best represents the equation a. 0, 16, 64, 144; graph a b. 0, 4, 8, 12 graph a c. 0, 16, 64, 144; graph b d. 0, 4, 8, 12; graph b
Answer:
0, 16, 64, 144
Step-by-step explanation:
I substituted the t values into the giving equation and solved until it gave the s values.
I hope this helps^-^
Answer:
It's A
0, 16, 64,144 graph A edge
Step-by-step explanation:
I got it right see
The polygons are similar. Find the value of x
what is the least common denominator between 3/4 4/5 and 2/3
Answer:
The Least Common Denominator of 3/4, 4/5 and 2/3
Would be,
4 × 5 × 3 = 60
Hence,
60 is the L.C.D of 3/4, 4/5 and 2/3
Which classifications apply to the polygon? Check all that apply.
convex
concave
regular
hexagon
octagon
Answer:
B and D
Step-by-step explanation:
I need help finding the slope
Answer:
0.75
Step-by-step explanation:
-3-1.5/-4-2
-4.5/-4-2
-4.5/-6
0.75
5. Find the missing reference angle using arcsin, arccos, or arc tangent. (Round to
the nearest whole number)
14
48
50
Your answer
Answer:
16°
Step-by-step explanation:
Reference angle = [tex] \theta [/tex]
Side Opposite to reference angle = 14
Adjacent side = 48
Hypotenuse = 50
Let's apply arcsin:
Thus:
[tex] \theta = sin^{-1}(\frac{Opp}{Hyp}) [/tex] (recall: SOHCAHTOA)
Plug in the values
[tex] \theta = sin^{-1}(\frac{14}{50}) [/tex]
[tex] \theta [/tex] = 16.2602047° = 16°
IM SO TIRED CAN SUM1 HELP PLS.
Answer:
a. $250
b. 50x + 200
Step-by-step explanation:
a. For the first month, you have to account for the cost to start which is $200, and the adition of the $50 for each month.
b. the 200 is only a one time fee so you add it on to months(x)
Answer:
a. 250$
b. 200+50x
Step-by-step explanation:
#1 What is the total cost to use the cell phone plan for one month?
GIVEN:
Startup price=$200
Charge per month=50$
SOLVE:
The total cost for one month will be the startup price+ charging price for one month.
200+50=250$
#2 What is the total cost for x months?
The total cost for x months will be the startup price+charging price for x months.
200+50x
Hope this helps!! :)
Please let me know if you have any questions
The degree of the problem
Answer: A. 5
Step-by-step explanation:
Find the domain and range of the relation: { ( 4 , − 4 ) , ( 3 , − 4 ) , ( 2 , − 4 ) , ( 1 , − 4 ) } . Then determine whether the relation is a function.
Answer:
Domain: [tex]Dom\{f\} = \{1,2,3,4\}[/tex], Range: [tex]Ran\{f\} = \{-4\}[/tex]
The relation is a function.
Step-by-step explanation:
Let be [tex]f[/tex] a relation. The domain of the relation is the set of first components of ordered pairs of the relation, whereas the range of the relation is the set of second components of ordered pairs of the relation. Hence, the domain and range of the relation are, respectively:
[tex]Dom\{f\} = \{1,2,3,4\}[/tex]
[tex]Ran\{f\} = \{-4\}[/tex]
A relation is a function if and only if every element of the domain has only one element of the range. This is the case for this relation, since there is just an element for range.