It’s the last one :)
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)
Answer:
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
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].
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]
68% confidence level
So [tex]\alpha = 0.32[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.32}{2} = 0.84[/tex], so [tex]Z = 0.995[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24[/tex]
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
What is the p-value?The p-value is also known by the probability value. It is the probability of getting a result that is either the same or more than the actual value.
In a given data with a number n of people surveyed with a probability of success [tex]\pi[/tex] and a confidence level [tex]1-\alpha[/tex], we have the confidence interval of proportions.
[tex]\pi[/tex] ± [tex]\rm z\sqrt{\pi (1-\pi )} /n[/tex]
where z has a p-value of 1-[tex]\alpha /2[/tex]
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
n = 100, [tex]\pi[/tex] = 20/100 = 0.2
So, [tex]\alpha[/tex] = 0.32 where z has a p-value 1-[tex]0.32 /2 = 0.84[/tex]
z = 0.995
The lower limit of this interval
[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 - 0.995 \sqrt{0.2 \times 0.8} /100\\= 0.16[/tex]
The upper limit of this interval
[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 +0.995 \sqrt{0.2 \times 0.8} /100\\= 0.24[/tex]
Hence, The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
Learn more about p-value ;
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one boy s c o r e d 80% out of a total of 500 marks how many marks did that boy is scored
The boy scored:
500 x 80% = 400 (marks)
Does the point (-8, 8) satisfy the inequality 16x + 15y = -8?
yes
no
Answer:
Yes
Step-by-step explanation:
16x+15y=-8
16(-8)+15(8)=-8
-8=-8
Hope that helps :)
Answer:
True
Step-by-step explanation:
The left side − 8 is equal to the right side − 8 , which means that the given statement is always true.
Challenge #1 Press "Deal" to receive your cards. Drag cards from your hand to the red and blue area GOAL: Create two groups of cards with the SAME SUM using as many cards as possible. Submit 8,7,6,3,2,1
Answer:
ok
Step-by-step explanation:
:)
i’ll give you brainliest if you help me please
Answer:
b) 40
Step-by-step explanation:
x + x + 100 = 180
2x + 100 = 180
2x = 80
x = 40
if you add an exclamation I will give you a Brain list
A male animal can weigh up to 6,000 pounds.
How many tons is 6,000 pounds?
6,000 pounds is equivalent to what
tons.
Answer:
it would be 3 tons if I'm correct
Answer: 3 tons
Step-by-step explanation:
1 ton is equal to 2,000 pounds.
Divide 6,000 from 2,000 to find how many tons the animal weighs.
6,000/2,000=3.
Hope this helps!
On a map, 1 inch equals 20 miles. Two cities are 5 inches apart on the map. What is the actual distance between the cities?
Answer:
100 miles
Step-by-step explanation:
20x5
What is the sum of 4 3/10 + 3 6/10 =
Answer:
The sum is 10 times 11Step-by-step explanation:
Answer:
I just put it into my calculator, but if you don't have one here's how to solve this by hand.
First, figure out what 4 3/10 is. Once you figured that out, you should've gotten 43/10 = 4 3/10. Next do 3 6/10, you should get 18/5 = 3 6/10. This may seem like a useless part but it can help if you have a different learning method or thinking than others. How I found the 43/10 and 18/10 was that if you add the whole number and denominator and add the numerator then you get your sum fraction(s). 43/10 and 18/5.
Since both the original fractions above have a denominator of 10, the final sum will also have a denominator of 10. If you take your calculator and put in 43/10 + 18/5 and hit the = button, you should get 79/10 = 7 9/10.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?
Answer:
B. Straight angles
Step-by-step explanation:
When combined, they form a straight line. They are also supplementary angles. When added together, they = 180 degrees.
Answer:
C. Alternate interior angles
Step-by-step explanation:
Jorge randomly selects a digit from 0 to 9. What is the probability that the digit he selects is a prime number?
Step-by-step explanation:
{0,1,2,3,4,5,6,7,8,9}--set of numbers from 0 to 9
{2,3,5,7}---set of prime numbers from 0 tp 9
there are 10 numbers in the first set and 4 numbers in the second set.
4/9 is the probability that the digit he selects is a prime number
Hope that helps :)
what's y=-4+15 in standard form
Answer:
y=1.1×10¹
Step-by-step explanation:
y=-4+15
y=11
y=1.1×10¹
the shorter leg of a right triangle is 8 inches shorter ybsn the longer leg. the hypotenuse is 8 inches longer thsn the longer leg
Answer:
Short leg = 24inches
Long leg = 32inches
Hypotenuse = 40inches
Step-by-step explanation:
Given:
shorter leg is 8inches shorter than the longer leghypotenuse is 8inches longer than the longer leglonger leg = x inchesPythagorean Theorem:
a²+b²=c² → (x-8)²+ x² = (x+8)²
Solving for both sides:
x² - 16x+ 64 + x² = x²+ 16x + 64
More Painful Solving:
x² - 32x = 0
x(x-32) = 0
x=0 or 32
Can't use the 0 so we trash it!
x=32
add 8 to get the hypotenuse and subtract 8 to get the short leg
Is (9,-5) a solution to the inequality y < -1/3x -2?
yes
no
Answer:
No
Step-by-step explanation:
[tex]y<-\frac{1}{3} x-2[/tex]
put in 9 for x
y<-\frac{1}{3} 9-2
y<-3 -2
y<-5
then put in -5 for y
-5<-5
Since they are the same number that makes the equation impossible
Hope that helps :)
todo número tem?
o zero não é de nenhum número natural?
Answer:
0 não é um número natural.
Step-by-step explanation:
0 não é positivo ou negativo. Como todos os números naturais são inteiros positivos, não podemos dizer que 0 é um número natural.
Wich number line shows the graph x<-6?
The other side of the number line is -5 and -10
Answer:
It is the first one
Step-by-step explanation:
Open circle is greater or less than.
Closed circle is greater than or equal to and less than or equal to.
The probability that Ismael makes a basket is 7/10. If he shoots 100 baskets, how many can he expect to make?
Answer:
70 baskets
Step-by-step explanation:
Let b be the number of baskets he will make if he shoots 100 baskets.
[tex]\frac{7}{10} =\frac{b}{100} \\700=10b (now divide by 10 from both sides)\\[/tex]
Anna spent 3/4 of her money for a dress, She has 2.00 left, How much does she have at first?
Evaluate the expression below when x = 2 and z = 12. z + 5x^3
Answer:
52
Step-by-step explanation:
z + 5x ^3
12 + 5*(2^3)
12 + 5 * 8
12 + 40
52
Help quick!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Area of this pi r²/2
3.142*324/2=3.142*162=509,004
Answer:
56.556
Step-by-step explanation:
In order to find the areaof a cirlcle the equation is pi(r^2)
radius is half of a diameter so i did 18 divided by 2 =6
3.142(6^2)=113.112
but since its only half a cirle i divided my answer by 2 in order to get 56.556
A worker on an assembly line is required to take a short break every 90 to 120 minutes. The worker begins his job at 7:45 a.m. Which is not a time the worker could take his break?
Answer:
7:46 - 8:59
Step-by-step explanation:
This is their first 1-89 minutes of work, thus they are not able to go on break yet.
ery Test
1
Select the correct answer.
Who is a consumer?
OA.
a person who buys items in a store
OB.
a person who owns a store
O C.
a person who works at a store
Help please !! need it asap
5th grade math. correct answer will be marked brainliest, select which is greater than,equal to, less than for all
Answer:
Step-by-step explanation:
1. Less than
2. Greater than
3. Equal to
4. Greater than
5. Equal to
6. Less than
Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equation to find out how many weeks it would take for Jack and Diane to have saved the same amount of money.
Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
6.5x - 8.25x = 9 - 37
-1.75x = -28
x = 16
The number of weeks when Jack and Diane would have the same amount of money is 16 weeks.
Equations that represents the amount of money savedTotal amount of money saved = amount the person has + (amount the person saves per week x number of weeks)
Total amount of money Jack saves = $37 + ($6.50 x w)
Total amount of money Diane saves = $9 + ($8.25 x w)
Number of weeks when they would have the same amount of moneyWhen Jack and Diane would have the same amount of money, the equations that represent the total amount of money saved for both individuals would be equal.
$37 + $6.50w = $9 + $8.25w
combine similar terms
$37 - $9 = $8.25w - $6.50
$28 = 1.75w
Divide both sides of the equation by 1.75
w = 16 weeks.
To learn more about how to determine when two people would have equal quantities, please check: https://brainly.com/question/25711114
Please help meeeeeeeeeee
I hope this helped
Step-by-step explanation:
Ok
First : Find the area by using length x width x height
Second: 18in (long/length) x 12in (wide/width) 10in (high/height)
last : 18 x 12 x 10
=2,160 in/ C
help plssssssssssssssssss
Answer:
3) Not equivalent
4) Equivalent
5) Equivalent
(Multiply by two for the last two questions)
Justin is marking a border for a garden. He walks 200 feet to the east, then turns and
walks 120 feet due south, before finally walking in a straight line back to his original
starting point. To the nearest foot, how far does Justin walk in all?
Answer
feet
Answer:
d = 233.23 feet
Step-by-step explanation:
Given that,
Justin walks 200 feet to the east, then turns and walks 120 feet due south.
We need to find the total distance walked by Justin. Let the distance be d.
We can use the Pythagoras theorem to find it such that,
[tex]d=\sqrt{d_1^2+d_2^2} \\\\d=\sqrt{200^2+120^2} \\\\d=233.24\ feet[/tex]
So, he walk 233.23 feet in all.
you guy have any song requests?
Answer:
Never want to give you up
Step-by-step explanation:
Brainliest? pls
Famous Dex - Pick It Up (Lyrics) feat. A$AP Rocky
My ordinary life
SoFaygo - Knock Knock
Streets
D !ck
Help
See the picture
Answer:
38.63Step-by-step explanation:
Area x height
Answer:
SA = 12 mi²
Step-by-step explanation:
bottom = 2 x 2 = 4 mi²
one side = 1/2(2)(2) = 2 mi²
SA = 4(2) + 4 = 12 mi²
If we roll 40 times, how many rolls would you expect to win?
Answer:
what
Step-by-step explanation:
ok first of all roll what. If its a coin you will expect to win 20 times . if its a dice than it will be around 6.67 times.