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.
Unit 8 right triangles and trigonometry homework 4
Answer:
don’t click the link
Step-by-step explanation:
hey man i’m struggling to but plz don’t click the links. it hacks your devices
James ran a race in 2.2 hours. Casey ran the same race in 2.25 hours. Who took less time to run the race?
Answer: James
Step-by-step explanation: 2.2 is less than 2.25.
A tourist attraction experienced a 3.75% fall in visitor numbers in June, compared to the previous month due to bad weather There were 121660 visitors in June How many visitors were there in May? B) In July there were 4.5% more visitors than in May What was the percentage increase in visitor numbers from June to July?
Answer:
(A) 126400
(B) 8.57%
Step-by-step explanation:
(A) According to the scenario, calculation of the given data are as follows,
Visitors in June = 121660
Let visitors in May = X
Difference in visitors number in June = 3.75% decrease
So, we can calculate the visitors number in may by using following formula,
Number of visitors in June = X - 3.75%X
121660 = 96.25%X
X = (121660 × 100) ÷ 96.25
X = 126400
Hence, Number of visitors in may = 126400
(B). Difference in visitors in July than in May = 4.5% increase
So, Number of visitors in July = 126400 + (126400 × 4.5%)
= 126400 + 5688
= 132088
Now, we will calculate increase in percentage by using following formula,
Increase percentage = (132088 - 121660) ÷ 121660
= 10428 ÷ 121660
= 0.0857 or 8.57%
Freddy exercise 3.5 hours per day 4 days last week he burned 440 calories per hour while exercising how many calories did Freddie burn by exercising last week
Answer:
6,160 calories
Step-by-step explanation:
total hours of exercising = 3.5 x 4 = 14
burns 440 calories per each hour
total calories burned is 440 x 14
I NEED HELP ASAP!!!
If angle MNO = 80, find angle M
If Type your answer as an integer or round to the nearest tenth.
Answer:
Since the triangle we are dealing with is an isosceles triangle if MNO is 80° that means angle <OMN and < NOM are equal. Take 180°- 80°= 100°. Then divide by two to get each angle to get 50°.
Step-by-step explanation:
About integers and rounding off. Oopsie but we don't do it in Kenyan Syllabus. Hope I was helpful✌☺.
What is 12/100 as a percentage?
Answer:
12%
Step-by-step explanation:
Answer:
It is 12%
Step-by-step explanation:
Solve the system by substitution.
-5x+2y=-42
6x=y
Step-by-step explanation:
since y=6x
by substitution
-5x+ 2 (6x)= -42
-5x+ 12x=-42
7x= - 42
divide both sides by 7
x= 6
y=6x
y =6*6
y=36
what is the equation of the line that passes through the point (-6,-5) slope of 3/2?
Can anyone help me on this , please don’t send the link things .
Answer:
D
Step-by-step explanation:
1/2 is the same as square root
the square of 8 is 2 root 2
then x squared is 2
and y is 2
16 is to the power of 1/4 is 2
what is 38% of 32.
pls help in the middle of testing
Answer:
12.16
Step-by-step explanation:
1:Reduce the fraction 100 38 to lowest terms by extracting and canceling out
2:Express 50/19 ×32 as a single fraction.
3:Multiply 19 and 32 to get 608.
4:Reduce the fraction 608/50 to lowest terms by extracting and canceling out 2.
5:304/25=(12.16).
Ming took a cab across town. His fare was $22, and he leaves an 18, percent tip.
What is the total amount Ming pays the cab driver?
Answer:Ming pays $25.96 to the cab driver.
Step-by-step explanation:
Ming took a cab across town, his fare of cab = $22.00
He leaves a tip of 18% of total fare = 18% of $22.00
Total amount = (18% of $22) + $22.00
( 18/100× 22) + 22.00
= (0.18 × 22) + 22.00
= 3.96 + 22.00
= $25.96
Ming pays $25.96 to the cab driver.
find the value of x and y
Answer:
It's hard to make out which is x and y, if x is lower right and y is at the top, then:
x = 55°
y = 70°
Step-by-step explanation:
x = 55° because it is an isosceles triangle
y = 180° - 55° - 55° = 70°
can someoneone help me with please i have to sent it today
Writing A story
Read the task below.
Your English teacher has asked you to write a story for your school magazine
The story must begin with this sentence:
It all began when Hayley was woken up by a loud noise.
Your story must include:
• an open window
• a broken vase
Write your story.
Answer:
I was asleep in bed one night when, suddenly, a loud noise woke me. I did not know what it was I searched around for a few minutes, but I couldn't find where the sound was coming from, but on the floor, I saw a broken wase, and i decided to throw it away in the open window next to me... My house was very far out, hidden behind trees, and darkness was around me. Ahhh! The sound was repeating again and again so I decided to rush over to my phone to call the police. but then I realized that was just not any sound, but it was a cry for help. The police said they will send over a rescue worker to help me, to help them, whoever it is. I went downstairs to find something sharp something that could help me or at least scare away the person here.
Step-by-step explanation:
Hope you like it xD It is not 100% finished so probably you can finish it, i wrote an introduction for you) good luck
Find the measure of angle y in the following figure.
Answer:
[tex]50^{o}[/tex]
Step-by-step explanation:
90 + 40 = 130
180 - 130 = 50
hey please help me with this ty
Answer:
3d
Step-by-step explanation:
3 miles per day
if he runs for two days he runs 6 miles 3(2)
etc etc
What would be the coordinates of Point D to complete square ABCD? Ay B 2. A Х -2 o 2. 2. С (2.2) (2, 2) (-2,2 (2-2)
Answer:
D: which is (2, -2)Step-by-step explanation:
PLEASE HELP FAST 15 POINTS ANDWER IF YOU ONLY KNOW!
Answer:
i can see the question in ascending order
Hello! Could y’all please explain why this is Decay and not growth?
Answer:
This is an Exponential Decay
Step-by-step explanation:
A = 1200(0.85)⁶
The above expression is an Exponential Decay because 0.85 is less than 1
The formula for Exponential Decay
= y = a (1 - r)^t
We equate both equation together
Where
a = 1200
1 - r = 0.85
t = 6
Solving for r
1 - r = 0.85
r = 1 - 0.85
r = 0.15
Converting to Percentage
r = 15% decay rate
rob wants to buy a piglet that normally cost $200 it is on sale for currently $58 . what is the percentage discount
Answer:
71%
Step-by-step explanation:
Firstly, 200 - 58 = 142
Next, 142 / 200 = 0.71
0.71 x 100 = 71%
What value of x makes the equation true?
3 - 14x = 17
A-1
B-1
C-28
D-2
Answer:
3 -14x =17
-14x = 17 - 3
-14x = 14
x = 14/-14 = 1/-1 = -1
∴ answer = -1
hope this answer helps you.....
please mark as brainliest... thank you!
Please help me it’s due soon!!
Answer:
12√2
Step-by-step explanation:
It's 12√2 because the hypotenuse of the triangle is 12. that means for a^2 + b^2 = c^2, we get c^2 = 144. a and b are equal so the answer is 6√2.
Also, don't any links you see on this site, they are hackers
An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which is closest to the probability that the next customer will pay with cash? (Round the answer to the nearest hundredth.)
Answer:
2268
Step-by-step explanation:
What is the exact volume of the cone?
A 80π ft³
B 4003π ft³
C 400π ft³
D 418710π ft³
Greg bought a jacket for $35.23, a flag for $10.75, and a baseball cap for $17.25. He paid $50 and
the rest he borrowed from his friend. If Greg got $6.77 in change from the cashier, how much did he
borrow from his friend to pay for all the items?
Answer:
His friend gave Greg a 20$ bill.
Step-by-step explanation:
35.23+10.75+17.25=63.23
63.23-50= 13.23
13.23+6.77= 20
Answer:
He borrowed $6.46
Step-by-step explanation:
Add the totals up together. 35.23 + 10.75 + 17.25 to get 63.23
Subtract 50 from 63.23 (63.23 - 50.00) to get 13.23.
Subtract 6.77 from 13.23 (13.23 - 6.77) to get 6.46.
He borrowed $6.46 from his friend!
Hope this helps! Pls make brainliest
help will mark brainliest
Answer:
The answer to the question is d
Answer:
D
Step-by-step explanation:
The equation has just 1 answer and that is 0
Value of x can only be 1 as this is a linear equation not a quadratic
Please mark my answer as brainliest for further answers:)
WILL GIVE BRAINLIEST FOR RIGHT ANSWER 16 POINTS
Answer:
Absolute value means 2 equations so work below.
Step-by-step explanation:
x + 2 = 3
x = -1
x - 2 = 3
x = 5
I hope I didn't just confuse myself it's been YEARS since i've had simple questions like this (i can edit if needed)
HELP PLS ASAP PLS PLS DUE SOON
Answer:
blank 1: 63 degrees
heart if it helped!
PLEASE HELP!!!!! WORTH 40 POINTS
Answer:
B : 3/2
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
answer is B. i think so...
[tex] \frac{54}{36} = \frac{3}{2} [/tex]
have a nice day
HELP ME PLZZ: Francesca is making a scale drawing of the mural on a wall in her school's hallway. The mural is 12 ft high and 135 ft long. She is using a sale of 3 cm for every 4 ft. What are the dimensions of her scale drawing?
Answer:
i think ur supposed to do 135 divided by 3?
Step-by-step explanation:
tell me if im right or wrong so then i can help
The height of the mural drawing is 9 inches while the length is 101.25 inches.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
Hight of the mural = is 12 feet
⇒ 12 × 12 = 144 inches.
Length of mural = 135 feet
⇒ 1620 inches.
Now,
She is using 3 cm for every 4 feet(4×12 = 48 inches)
Scale factor = 3/48 = 1 : 16
Now,
Length of mural drawing = 144/16 = 9 inches.
Height of mural drawing = 1620/16 = 101.25 inches.
Hence "The height of the mural drawing is 9 inches while the length is 101.25 inches".
To learn more about scale factors,
brainly.com/question/22312172
#SPJ2
2
Find the equation of the line shown.
Find the equation of the line shown. *
(10 Points)
y=3x+4
y=-1/2x-3
y=5x-12
y=1/2x+3