Answer:
The 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.23, 0.27).
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].
Suppose a sample of 768 new car buyers is drawn. Of those sampled, 192 preferred foreign over domestic cars.
This means that [tex]n = 768, \pi = \frac{192}{768} = 0.25[/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} = 0.95[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.25 - 1.28\sqrt{\frac{0.25*0.75}{768}} = 0.23[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.25 + 1.28\sqrt{\frac{0.25*0.75}{768}} = 0.27[/tex]
The 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.23, 0.27).
the coefficient of x in the expression of(x+3) (x-1) is
Answer:
i think 4
Step-by-step explanation:
[tex]x^{2} +4x-3[/tex]
Really need help picture below
Answer:
73 degrees
Step-by-step explanation:
Quizziz help 9th grade please please please
el preocceso de 231x123
28413
i think is the answer im not spanish but i think its a multiplication problem
which statement correctly descibes what happens to the shape and location of the graph of y=2x^2 if it is regraphed as y=-1/2x^2
HELPPPPPPP
Answer:
I got the same question rn
Step-by-step explanation:
What did you end up with for the answer?
1. Find the value of sec Θ if tan Θ = -2 90° ≤ Θ ≤ 180°
a. -√5
b. √5
c. -5
d. 5
2. Find the value of cos Θ if sec Θ = 5/3 270 ≤ Θ ≤ 360°
cos =
9514 1404 393
Answer:
1. (a) -√5
2. 3/5
Step-by-step explanation:
1. sec²(θ) = tan²(θ) +1
sec²(θ) = (-2)² + 1 = 5
sec(θ) = ±√5
In the second quadrant, secant is negative, so ...
sec(θ) = -√5
__
2. cos(θ) = 1/sec(θ)
cos(θ) = 1/(5/3)
cos(θ) = 3/5
The original price, p, of a single scoop of ice cream has increased by 7%. The new price can be represented as 1.07p. Which expression is also equivalent to the new price? *
Answer:
107%p
not much explanation needed here, just conversion of units.
If a regular polygon has 72 sides and an order of 72,what is the polygon’s rotational angle?
Answer:
The rotational angle of a regular polygon with 72 sides is 5º.
Step-by-step explanation:
The rotational angle ([tex]\theta[/tex]), measured in sexagesimal degrees, of polygon of [tex]n[/tex] sides is the angle of a complete revolution divided by the number of sides ([tex]n[/tex]). That is:
[tex]\theta = \frac{360}{n}[/tex] (1)
If we know that [tex]n = 72[/tex], the rotational angle is:
[tex]\theta = \frac{360}{72}[/tex]
[tex]\theta = 5^{\circ}[/tex]
The rotational angle of a regular polygon with 72 sides is 5º.
4. Etkinlik
Ağaç sevgisini anlatan bir şiir yazınız
Answer:
Bir ağaç bize büyümemizi hatırlatır,
maneviyata, soyuta doğru, yeryüzünde köklü olmak gerekir,
betonda, konudaki.
Tıpkı insan gibi, cenneti ve yeri birleştiren bir varlık.
O, bitmiş meyvenin taşıyıcısıdır ve aynı zamanda,
Geliştirme sürecindedir.
Biz insan olarak
yaratılışın maksimum ifadesiyiz ve aynı zamanda
hala büyüme sürecindeyiz.
Multiply. −4i(2−i) Enter your answer in the box.
[tex]-4i(2-i)=-8i+4i^2=\boxed{-4-8i}[/tex]
Answer:
-8i+4i
Step-by-step explanation:
distibutive property
-4i x 2 = -8i
-4i x -i = 4i
-8i+4i
Find the exact length of the third side.
10
24
Step-by-step explanation:
10×10+24×24= third side ×third side
third side ×third side =100+576
third side × third side=676
third side=√676
third side=26
1 1/3 x 2 1/6=1/3 x ?/6=?
Answer:
the answer is : y=2
(btw I changed the ? into y. hope that's okay)
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=68°, and MK = 42 feet. Find the length of LM to the nearest tenth of a foot.
Answer:
x=103.9536≈104 feet
Step-by-step explanation:
An athlete takes 33 minutes and 50 seconds to run 10 000 m.
Work out the athlete’s average speed in kilometres/hour (round to 3sf).
Answer: 17.9 km/h
Step-by-step explanation:
Convert 33 minutes and 50 seconds to Hours:
= 33 ⁵⁰/₆₀ minutes
= 33.83 minutes
In hours that would be:
= 33.83 / 60
= 0.56 hours
10,000 meters in kilometers is:
= 10,000 / 1,000
= 10 kilometers
Speed = 10 / 0.56
= 17.9 km/h
What is the mean absolute deviation of the following set of data?
4
6
6
2.
Answer:
To calculate the mean we need x and f both
A box filled with 6 blue cards 6 brown carts and 6 green cards a card is chosen at random from the box what is the probability that it is a blue or green card write your answer as a fraction in simplest form
Rearrange the equation so a is the independent variable 9q - 4 = 3r - 6
Step-by-step explanation:
[tex]9q - 4 = 3r - 6 \\ 3r = 9q - 4 + 6 \\ 3r = 9q + 2 \\ r = 3q + \frac{2}{3} [/tex]
Answer:
3q + 2/3Step-by-step explanation:
3r - 6 = 9q - 4Add 6 to both sides3r = 9q - 4 + 6Add -4 and 6 to get 23r = 9q + 2Divide both sides by 33r/3= 9q+3 / 3Division undoes multiplicationr = 9q + 2 / 3r = 3q + 2/3what number is opposite of -524
Answer: 524
Step-by-step explanation:
What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation. (-6,3) (12,6)
Answer:
6/1
Step-by-step explanation:
the difference between 12 and -6 is 18 and the difference between 6 and 3 is 3...18/3 is 6/1
a department store sells a pair of shoes with an 87% markup, if the store bought the pair of shoes for 55.25, what is the selling price to the nearest dollar?
Answer:
$103
so 87% of $55.25 is 48.0675
48.0675+55.25 is 103.3175
103.3175 rounded to the nearest dollar is 103.
How many groups of two are in six
Answer:
3 groups
Step-by-step explanation:
6 / 2 = 3 groups
plz mark me brainliest
Answer:3
Step-by-step explanation: 6 divided by 2
If ΔEFG ~ ΔLMN with a ratio of 3:1, which of the following is true?
Answer choices in picture.
Answer:
EG/LN similar FG/MN
Step-by-step explanation:
Lines s and t are parallel. Find the value of x.
PLEASE HELPPPPP, THANKSS!!!!
Answer:
50 i think
Step-by-step explanation:
Answer:
50°
Step-by-step explanation:
Given,
In the second transversal 40° is correspondent to second parallel line in the pair so we get 40° here.
Then, at intersection we get 90°.
Now, by the problem,
180° -90° -40° = 50° [linear pair]
Hence, we got 50° at intersection of second line.
Now,
angle x = 50° (corresponding angles)
Find the number that belongs
in the green box.
160°
3
Answer: 20 degrees
Step-by-step explanation:
7.
The expression 25(1.12)m represents a population of spiders after m months. Since a year hus
12 months, 25(1.12)12n represents the population of spiders after n years.
Which expression is approximately equivalent to 25(1.12)1207
A 25(2.44)"
B 25(3.90)"
с 25(13.12)
D 25(13.44)"
Answer:
C
Step-by-step explanation:
2- Mert 423 sayfalık kitabın 7
_
9
sini okumuş. Oku-madığı kac sofa kalmıştır?
There are (3^5)^2 . 30 leaves on a tree. What is the total number of leaves on the tree? (5 points)
Answer:
The awnser is 3^10
Step-by-step explanation:
a new sweater cost $15.99 . if the sweater is on sale for 1/4 its about how much would you save? need help ASAP
Answer:
$4.00 If it's for sale for 1/4 off, then it's $12.00
Step-by-step explanation:
15.99 x 0.25 = 3.99
Answer:
3.9975
Step-by-step explanation
that is the amswer just round or do whatever you need
is every relation a function?
I need help with this
Answer:
the first is true
Step-by-step explanation: