Answer:
a) 0.6032
b)
Lower limit: 0.48
Upper limit: 0.72
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Question a:
In a random sample of 63 professional actors, it was found that 38 were extroverts.
We use this to find the sample proportion, which is the point estimate for p. So
[tex]\pi = \frac{38}{63} = 0.6032[/tex]
Question b:
Sample of 63 means that [tex]n = 63[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6032 - 1.96\sqrt{\frac{0.6032*0.3968}{63}} = 0.4824[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6032 + 1.96\sqrt{\frac{0.6032*0.3968}{63}} = 0.724[/tex]
Rounding to two decimal places:
Lower limit: 0.48
Upper limit: 0.72
What is the volume of a rectangular sandbox that is 3 feet by 4 feet by 1 foot?
Answer:
12 cubic ft.
Step-by-step explanation:
welcome
A piece of aluminum that is 20 cm³ has a mass of 54 g.
a. What is the density of the aluminum?
Ekspress as fraction the chances of the following being picked at random from the boxes. Days of the week and Months of the year.
Example: The month picked is September 1/12
a) The month picked is during summer?
b) The day picked falls on a weekend?
c) The month has the letter 'r' in it?
d) If a weekday is picked the chances it begins with the letter 't' ?
e) If the month picked has 30 days the chance it is June?
Answer:
hdhfkejshdbejejdhjjejej
mark takes $4000 from john for 2 years at the rate of 10% half yearly interest. what amount will be paid by mark to john after end of 2 years?
Answer:
times all of the numbers
Step-by-step explanation:
It has been found that 85.6% of all enrolled college and university students in the United States are undergraduates a random sample of 500 and rolled college students in a particular state revealed that 420 of them were under graduates and their significant evidence to conclude that the proportion differs from the national percentage use ax equals 0.05
Answer:
What is your question please
For the following three questions, you will be testing for correlation between people's opinions of bilingual education (X) and their opinions about whether foreign born citizens should be allowed to run for president (Y) using the following data. The scale for both variables is 1 to 9, representing strong opposition to strong favor respectively. The null hypothesis is that X and Y are not correlated.
X Y
2 5
5 3
1 2
7 9
1 3
Calculate r. What are the degrees of freedom and do we retain or reject the hypothesis?
Answer:
0.7539
Degree odndd
Step-by-step explanation:
X Y
2 5
5 3
1 2
7 9
1 3
X :
2
5
1
7
1
Y:
5
3
2
9
3
Using a correlation Coefficient calculator, the correlation Coefficient, R value obtained is 0.7539
H0 : ρ = 0
H1 : ρ ≠ 0
The test statistic :
T* = r(√n - 2) / (√1 - r²)
T* = 0.7539 * √5 - 2) / (√1 - 0.7539²)
T* = 1.3057931 /0.6569891
T* = 1.988
Using the Pvalue from t statistic calculator :
T* = 1.988 ; df = 5 - 2 = 3
Pvalue = 0.0704
At α = 0.05
Pvalue > α ; we fail to reject H0 ; and thus conclude that and Y are not correlated. And conclude that X and Y are not correlated.
Solve for
X/11=10/12
Give your answer as an improper
fraction in its simplest form.
12x = (10)(11)
12x=110
x=110÷12
x=55/6
6 3/4 divided by 4 1/2=
Answer:
1 1/2
Step-by-step explanation:
Hi there,
First convert your fractions to mixed numbers:
27/4 and 9/2
Then multiply
(remember to flip second fraction over)
27/4 x 2/9
You would get 54/36,
Now simplify 54/36
1 1/2
You are a volunteer at a physical therapy clinic. A set of stairs you use to help patients is shown with its dimensions. What is the volume of the set of stairs?
solve these plz and give a explanation
Answer:
[tex] \large{ \tt{☄ \: EXPLANATION}} : [/tex]
✎ Firstly , Remember these things :
To convert the percentage into a decimal fraction, remove the % symbol and divide it by 100 as in the case of conversion of percentage into fraction. We know that , divide by 100 means shifting to the left ; so to convert a percentage into decimal fraction, remove the % symbol and shift the decimal point two places to the left. For example : [tex]12\% = \frac{12}{100} = \boxed{ 0.12}[/tex][tex] \large{ \tt{☥ \: LET'S \: SOLVE}} : [/tex]
[tex] \large{1. \: \: 52\% \: \text{of} \: 210 = \frac{52}{100} \times 210 = 0.52 \times 210 = \boxed{109.2} }[/tex]
[tex] \large{ 2. \: \: 35\% \: \text{of} \: 500 = \frac{35}{100} \times 500 = 0.35 \times 500 = \boxed{175} }[/tex]
[tex] \large{3. \: 28\% \: \text{of} \: 866 = \frac{28}{100} \times 866 = 0.28 \times 366 = \boxed{102.48} }[/tex]
[tex] \large{ \tt{✺ \: REPEAT \: DAILY} }: [/tex]
I will remain focused on my goals. Even if I have a moment of difficulty , I will not give up. I know Success comes with consistency. I know that I will make it. Things will get better. No problem or challenge will stop me. Everything I deserve is coming my way.ツ Hope I helped! ۵
☃ Have a wonderful day / evening! ❃
# StayInAndExplore ! ☂
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Todd plans to attend a college that will cost $25,000 in tultior. He has $14,400 In his savings account. He plans to use half of this money in order to pay the tlution. He will also recelve a scholarship for $2,500. He will take out a student loan for the remaining tuition costs. How much student loan will Todd need to borrow?
Answer:
$15, 300 a loan
Step-by-step explanation:
14, 400/2 = 7200
25000- 7200 = 17,800
17, 800- 2500 for a scholarship = 15,300
An isoceles triangle has equal side 10cm long and a base 6cm long.Calculate the height of the triangle correct to 2decimal places
Answer:
9.54 cm
Step-by-step explanation:
half base = 6:2 = 3 cm
height = [tex]\sqrt{equal side^2 - half base^2} = \sqrt{10^2 - 3^2} = \sqrt{100-9} = \sqrt{91}[/tex] = 9.54 cm
-6/7 x (-5/4)
Pls put it as a fraction :)
Answer:
15/14
Step-by-step explanation:
I put it into the scientific desmos calculator online
Yesterday, the price of a can of beans at five supermarkets was $1.92, $2.01,
$1.89, $2.22, and $2.16, respectively, but today each supermarket raised its
price by $0.10. What is today's mean price of a can of beans at the five
supermarkets?
A. $2.24
B. $2.14
C. $2.04
D. $2.34
SUBMIT
Answer:
B. $2.14
Step-by-step explanation:
Given that
The price of the five supermarkets would be $1.92, $2.01,
$1.89, $2.22, and $2.16
And, each supermarket would be increased by $0.10
So, the today mean price would be
= ($1.92 + $2.01 + $1.89 + $2.22 + $2.16 + $0.10 × 5) ÷ (5)
= $10.7 ÷ 5
= $2.14
Therefore the second option is correct
How do I divide x+8/2
Answer:
you dont divide it.
Step-by-step explanation:
x+8/2 can mean a few things cause its not very clear.
x+ 8/2
x+8/2 (x+8 over 2)
8/2=4 so if its x + 8/2 thats just x+4
1. The Marcus family drove across the country last summer and traveled 7,895 miles. The summer before they also drove across country but only covered 3,450 miles. Find the percent change in the miles traveled. ro on the first quiz of the
Answer:
im just answering because my name is marcus.
Step-by-step explanation:
-56.3015% change
56.3015% decrease
what’s does e equal?
Answer:
30
Step-by-step explanation:
[tex]\frac{2}{5}=\frac{12}{e}[/tex]
[tex]\frac{2}{5}e=12[/tex]
[tex]e=12*\frac{5}{2}=5*6=30[/tex]
What is the value of the expression below? 5 + (-3)
Answer: FAT SONIC SAYS.... THE ANSWER IS 125
The sum of a number times 6 and 26 is at most 15.
About 0.46
0.46(6+26)=>15
A rectangle has an area of 21x + 81 square units. If the width is 3 units, what is the length of the rectangle
How long will it take $3000 to earn $900 interest at 6% simple interest?
20 points and brainly ;)
Answer:
5 years
Step-by-step explanation:
3000x.06=180 interest per year.
900/180 =5 years to earn 900 interest.
The base radius of a cone is 8 mm, and it’s volume is 320mm. What is its height ?
I dont know this Please Help
Answer:
point A
Step-by-step explanation:
Point A is at (9,-4) (x coordinate, y-coordinate)
it is 4 units down from (9,0)
Use elimination to find the solution to the system of equations. 9x + 2y = 59
2x + 5y = 4 (Answers below)
Answer:
????????????????????
Answer:
Step-by-step explanation:
9x + 2y = 59 -> 9x = 59 - 2y -> x = (59-2y)/9
2x + 5y = 4 -> 2(59-2y)/9 + 5y = 4 -> (118 - 4y)/9 +5y = 4
118 - 4y + 45y = 4*9 -> 41y = -82 -> y = -2, thus x = 7
What is the slope of the line that contains these points?
х
31
36
41
46
y
10
8
6
4
The population of a state is approximately 5 million people. The state is in the shape of a rectangle that is 280 miles by 380 miles. To the nearest whole number, what is the average number of people living on each square mile of the state?
Answer:
106,400 i think
Step-by-step explanation:
Answer:
47 people live on each square mile of the state
Step-by-step explanation:
5000000 people divided by (280 x 380) square miles
is 47 people per 1 square mile
Question 8
8. Ray is making face masks and needs to
purchase elastic cord. He needs 10.25 cm
elastic cord for each face mask. He orders 20
m of elastic cord. If he doesn't want any of
the cord to be wasted, what is the least
amount of extra cord that he would need to
add to his order of 20 m?
A.
B.
9 cm
10.25 cm
C.
D.
20.09 m
20.9 m
9514 1404 393
Answer:
B. 9 cm
Step-by-step explanation:
The number of face masks Ray can make with 20 m of cord is ...
(20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks
To make one more mask, he will need to buy an additional amount of ...
(196 -195.12195)×(10.25 cm) ≈ 9.00 cm
Ray would need to add 9 cm of cord to his order.
Emily has a coupon for 10%off of her purchase at the store. she finds a backpack that she likes on the discount rack. it’s original price is $60 but everything on the rack comes with the 30% discount. Emily says 10% and 40% make 50% so it will cost $30 is Emily correct explain what price will Emily pay for the backpack
Answer:
It is true that 20% and 30% make 50%. But in the context of sale prices it is essential to keep track of the wholes to which these percents apply. For the backpack, the 30% discount applies to the original $60 price: 30% of $60 is 0.3×60=18 making the discount on the backback $18. So after using the coupon, the backpack price becomes $42. Emily's additional 20% coupon applies not to the original backpack price but to the discounted price of $42: 20% of $42 is $8.40. Emily would need to save an additional $12 off the $42 price in order to buy the backpack for $30 so her calculations are not correct.
As seen in part (a), Emily's coupon lowers the discount rack price by $8.40 so she will pay
42−8.40=33.60
or $33.60.
Step-by-step explanation:
Consider the sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis
PLEASE HELP IM TIMED 20 PTS
Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to ∞.
Answer:
[tex]The \ general \ term \ of \ the \ sequence = \frac{n + 1}{n}[/tex]
[tex]\lim_{n \to \infty} (\frac{n+1}{n}) = \lim_{n \to \infty} (\frac{1}{n} +1 ) = 1 + \lim_{n \to \infty} \frac{1}{n} = 1 + 0 = 1[/tex]
Option 3 : The sequence converges to 1
Sabrina is building three identical table tops. The table top measures 8 feet by 3 feet. How many square feet of wood will Sabrina need to create the table tops?