Answer:
The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).
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 random sample of 80 college students showed that 44 had driven a car during the day before the survey was conducted.
This means that [tex]n = 80, \pi = \frac{44}{80} = 0.55[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 - 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.479[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 + 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.621[/tex]
The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).
Please helppp why is he right or wrong!!
Answer:
We cannot agree with Andre because x = 3.
Step-by-step explanation:
Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:
x + 2 = 5
Solve for x
x + 2 - 2 = 5 - 2 (subtraction property of equality)
x = 3
If you plug in the value of x on the diagram given, the scale becomes balance on each side.
Therefore, x = 3. Andre is wrong and we cannot agree with Andre.
please help me i really really really need help please please help me please
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Answer:
∠4 = 100°
Step-by-step explanation:
This has nothing to do with parallel lines.
Angles 1 and 4 are "vertical angles", hence congruent.
∠1 = ∠4 = 100°
_____
Vertical angles are on opposites sides of the intersection where lines cross.
Ashley is buying items for her dog Lance. She buys a dog collar for $6.50 and wants to buy dog food at $4 a pound. If she wants to spend exactly $22.50, how many pounds of dog food can she afford? Which equation model this situation? *
1 point
4lbs : 6.50x + 22.50 = 4
5lbs : 4x + 6.50 = 22.50
4lbs : 4x + 6.50 = 22.50
4lbs : 4 + 6.50x = 22.50
Answer:
4 lbs : 4x + 6.50 = 22.50
Subtract 6.50 from 22.50 and divide the remaining number by 4.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
(3, -2)
Step-by-step explanation:
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the variance is 1.69 gallons and the mean is 15.9 gallons per day. If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.
Answer:
A sample of 179 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A previous study found that for an average family the variance is 1.69 gallon?
This means that [tex]\sigma = \sqrt{1.69} = 1.3[/tex]
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.14 = 1.44\frac{1.3}{\sqrt{n}}[/tex]
[tex]0.14\sqrt{n} = 1.44*1.3[/tex]
[tex]\sqrt{n} = \frac{1.44*1.3}{0.14}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2[/tex]
[tex]n = 178.8[/tex]
Rounding up
A sample of 179 is needed.
Solve the equation 6 = p -8
Answer:
p = 14
Step-by-step explanation:
6 = p - 8
We want to isolate p, so add 8 to both sides.
6 + 8 = p
Add.
14 = p
Hope this helps!
Answer is: P = 14
Switch up the numbers.
6 = p - 8 → 6 + 8 = P
Solve for P.
6 + 8 = 14
Hence, 14 is the answer.
PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED.
Answer:
Its A
Step-by-step explanation:
Standard equation: y=mx+b
x+y=0
-x -x
y=-x+0
Make 6 prime number using 1,2,3,4,5,6,7,8,9
Answer:
13,67,29,17,19,23
Step-by-step explanation:
Answer:
1+2=3
2+3=5
4+3=7
9+2=11
9+4=13
3-1=2
principal- $900, interest rate ordinary- 4%, term (days)- 45. find the interest
Answer:
hope this helps to find the interest
Step-by-step explanation:
450
which of these object does not represent a plane
a .top of a box b .blackboard c. cover of the book the d. star in the sky
Answer:
D. star in the sky
Step-by-step explanation:
To be honest, none of them represent the plane but I think that's a better answer. OwO
which sides form a right triangle
Answer:
c
Do i get brainliest lol
What is the answer for 1+4?
Answer:
man thats really hard i think youve gotta ask a professional for that
Step-by-step explanation:
Answer:
1+4=5
1-4=-3 (3)
1 x 4= 4
1/4 =4
Step-by-step explanation:
Tasha is mixing red and white paint to make pink paint. She uses 1/3 pint of red paint to make 1/2 pint of pink paint. How much red paint would she use to make 3 1/2 pints of pink paint?
Answer:
2 1/3
Step-by-step explanation:
) Which expressions show the total area of the tiny house in square feet? Choose ALL that apply. 36x + 24 24x + 36 2.(12 + 3) 12(2x + 3)
Answer:
24x+36 and 12(2x+3)
Step-by-step explanation:
I just did it
Yuri and Nathan both made posters. Yuri made 1,272 copies of his poster. Nathan made 325 copies of his poster. How many more copies did Yuri make than Nathan?
Answer:
Yuri made 947 more copies than Nathan.
Step-by-step explanation:
Since we are finding the difference from the amount Yuri and Nathan made, the operation is subtraction. Since Yuri made more copies, his number will go first: 1272-325. Then, we solve by subtracting the two numbers, and you should get 947.
Thus, Yuri made 947 more copies than Nathan.
three numbers are in A.P. the difference between the first and the last is 8 and the product of these two is 20. find the numbers
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Answer:
10 and 2
Step-by-step explanation:
Essentially, you're being asked to find factors of 20 that have difference of 8. 20 can be factored as ...
20 = 20×1 = 10×2 = 5×4
The factors 10 and 2 have a difference of 8.
The numbers are 10 and 2.
A fruit basket is filled with eight bananas, three oranges, five apples, and six Keewee ‘s.
Answer:
A. bananas
Step-by-step explanation:
6-3= 3
8-4= 4
3-3= 0
4-4= 0
what are all of the equivalent fractions for 1/3
Answer:
2/6 3/9
Step-by-step explanation:
Alam Subscribes to a website for processing her digital pictures The Subscription is 5.95 Per month and each 4 x 6 photo cost $.19 each. If she has a total of $15.83 in her website account, How many photos did she print at least?
Group of answer choices {select all that apply}
52 or more
52 or Less
77 or more
As many as she wants
Answer:
77or more
Step-by-step explanation:
a number line is divided into 8 equal parts to show eighths. A point is labeled 1/2. Name the equivalent fraction for the labeled point.
Answer:
4/8.
Step-by-step explanation:
4/8 is the correct answer for this question. This is why. If you take 8 and divide it in half, your answer will be 4. Also because fractions are division so the fraction 8/2 equals 4. This means the 1/2 mark is equal to 4.
The area of a rectangle is 56 square inches the rectangle is 8 inches long how wide is the retangle
Answer:
7 inches
Step-by-step explanation:
56/8=7
Area/length=width
why can you use the constant of proportionalty with any representation?
A SPINNER IS DIVIDED INTO EQUAL BLACK, WHITE, RED. YELLOW, AND GREEN
SECTIONS. IF I SPIN THE SPINNER 95 TIMES ABOUT HOW MANY TIMES WOULD IT LAND ON YELLOW
Answer:
We would expect to get yellow 19 times.
Step-by-step explanation:
The probability of getting yellow is 1/5 (It is one out of five options)
To find how many times it is probable to get yellow, multiply this probability by the number of trys: (1/5)(95)=19
What is the value of 6(x + 15) - 12 when x = 12?
provided on your answer document.
Answer: 162
Step-by-step explanation:
6(12+15) Following the order of operations, (P.E.M.D.A.S), you should do parentheses first. So you add 12 and 15 to get 27. Were left with 6(27). So we multiply 6 and 27. The final answer is 162.
4
27
x 6
--------
162
The area of a poster board is (x2 + 9x – 10) square inches. Find the dimensions of the
poster board if x = 16.
The dimensions of the poster board are
inches by
inches.
Answer:
Step-by-step explanation:
|-3|>2 true or false
Answer:
True
Step-by-step explanation:
l-3l>2
3>2= True
SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!! (no links please
what is 11683.94 rounded to the nearest tenth.
WIIL GIVE BRAINLIEST IF YOU HELP ME
Answer:
What is the question?
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
<5,2>
Step-by-step explanation:
A quadrilateral has four angles.
Each angle is 90°
(6) Write down the mathematical name of this quadrilateral.
Square and Rectangle
I hope this helps you