Answer:
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
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 150 households was selected and 48 relied strictly on cell phones for their service.
This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/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}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
write the equation of the line when m =
[tex] \frac{1}{3} [/tex]
Write in order from least to greatest 0, 7, −2, |− 5|, 1.5, 0.7
Answer:-5,-2, 0, .7,1.5,7
Step-by-step explanation:
AS shown above
Jill invest $400 in a savings bond. The value of the bond V(x) in hundreds of dollars after x years is illustrated in the table below. Which equation and statement illustrate the approximate value of the bond in hundreds of dollars over time in years?
Answer:
V(x) = 4(1.35)x, and it grows.
Step-by-step explanation:
The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:
"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can use the given data points to approximate the relationship between the value of the bond and time by fitting a curve that best fits the points.
Based on the given data,
It seems that the value of the bond is increasing at an accelerating rate over time.
We can try to approximate this relationship by fitting a quadratic equation to the data.
Let's assume that the relationship between the value of the bond and time can be approximated by the quadratic equation:
V(x) = ax² + bx + c
where V(x) is the value of the bond in hundreds of dollars after x years, and a, b, and c are constants to be determined.
To solve for a, b, and c, we can use the three data points for which we have values of V(x):
V(0) = 4, V(1) = 5.4, V(2) = 7.29
Substituting these values into the equation.
a(0)² + b(0) + c = 4
a(1)² + b(1) + c = 5.4
a(2)² + b(2) + c = 7.29
Simplifying.
c = 4
a + b + c = 5.4
4a + 2b + c = 7.29
Substituting c = 4.
a + b = 1.4
4a + 2b = 3.29
Solving for a and b.
a = 0.725
b = 0.675
Now,
The equation that approximates the relationship between the value of the bond and time is:
V(x) = 0.725x² + 0.675x + 4
This equation tells us that the value of the bond is increasing at an accelerating rate over time, starting at $400 (or 4 hundred dollars) and increasing by approximately 0.725 hundred dollars for each year squared, plus 0.675 hundred dollars for each year, plus a constant 4 hundred dollars. For example, after 5 years, the value of the bond would be approximately:
V(5) = 0.725(5)² + 0.675(5) + 4 = 23.75
Therefore,
The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:
"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
find the surface area to the nearest tenth.
Answer:
A
Step-by-step explanation:
Can anyone help? The question is at the bottom
Answer:
Step-by-step explanation:
Answer:
24 is awnser
Step-by-step explanation:
Pls mark me as brainliest
An item that originally costs $320 is on sale for 22% off. What is the sale price? Show your work. PLZ SHOW UR WORK!
Answer:
The answer is $249.60
Step-by-step explanation:
This is a simple question. Firstly you will take the total cost and multiply it by 0.22. The answer to this is 70.4. Take that and subtract it from the total cost because 70 is the discount price. Once subtracted you will get 249.6. In conclusion, the sale price of the item is $249.60.
P.S. I hope this answer helped you in some way or another. If you have any questions you can ask them to me and I will be happy to help you out. I also wanted to add that I have a channel called The Game Rater or soon to be Nitro Studios (based on when you see this). I would really appreciate it if you could check out my channel. If not, I hope this answer helped you and I still appreciate you reading this side note. Thank you.
-Nitroid444
!!WILL MARK BRAINLIEST!!
(08.01 MC)
Find the height of a square pyramid that has a volume
of 32 cubic feet and a base
length of 4 feet. (1 point)
1) 2 feet
2) 4 feet
3) 6 feet
4) 8 feet
Saved
Question 5 (1 point)
(OB.02 MC)
Answer:
4) 8
Step-by-step explanation:
Answer:
6 feet
Step-by-step explanation:
Formula: V=1/3Bh
V=1/3(4×4)6
V=1/3(16)6
V=1/3(96)
V=96÷3
V=32
(P.S.-The capital 'B' in the formula stands for the area of the square base)
Hope this helped :)
Find the length of side C when a=40 and b=9
Answer:
The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two.
Find the surface area of the shape
Answer:
180
Step-by-step explanation:
In the Baroque period, how many melodies did a piece of music usually feature
Answer:
Many types of music, e.g. The Chorale, Opera, the Dance Suite.
Step-by-step explanation:
Answer:
The answer is: A. One
Step-by-step explanation:
I took the test.
2,451 people came to watch the Easter parade. 745 of those people were adults. How many children came to the parade?
Answer:f
Step-by-step explanation:d
Which is the decimal equivalent of 2/3
Answer:0.66666666666667
Step-by-step explanation:
If x = 99 and a = 76, find y.
Answer:
5
Step-by-step explanation:
That whole circle equals 180, so just add 99 plus 76 and subtract it from 180.
Pls help 15 points What is the are of the trapezoid?
Answer:
D) 156 mm²
Step-by-step explanation:
18+8=26
26/2=13
13x12=156
Each side length is doubled. What is the PERIMETER of the new figure?
Answer:
24 units
Step-by-step explanation:
Original perimeter:
5+4+3=12
When each side length is doubled, the original perimeter is doubled.
12*2=24
Answer:
if the length of each side is is doubled then
5×2 = 10
4×2 = 8
3×2 = 6
perimeter of new figure = 10 + 8 + 6
= 24 units
hope this helps good day mate
Which sign makes this number sentence true?
|-6| __ |6|
A. >
B. <
C. =
D.
Answer:
C. =
Step-by-step explanation:
whenever you have | | It will always be positive so -6 turns to 6 and that makes it equal.
3. Solve y = 2(x - 3) when:
a. X = 4
b. y = 8
Answer:
Hello!
Ok so first you plug in y as 8 and x as 4. You first do the math in the parentheses so 4-3 is 1, then 1 times 2 is 2. It should be like this 8=2. Then you do 8 divided by 2 which is 4.
Step-by-step explanation:
Pamela and her friends decided to have a water balloon fight! They got 20 water balloons and
used 6 liters of water to fill them all equally.
how much water was in each balloon?
Write your answer as a proper fraction or mixed number.
liters
Answer:
3/10
Step-by-step explanation:
Mark has a square photo with an area of 9cm squared.
He enlarged the photo to have an area of 36cm squared
To do this the length of each side was multiplied by a factor of?
Answer:
length of each side should be multiplied by 2
What are the ordered pairs of the solutions for the
following system of equations?
Answer:
(3,1);(6,-2)
Step-by-step explanation:
I pretty much just looked at where they both intersected with each other and you'll get your answer.
3/25 converted to a decimal
Answer:
.12
Step-by-step explanation:
First set up your proportion.
[tex] \frac{3}{25} = \frac{12}{100} [/tex]Multiply 3 and 25 by 4 to get 12 and 100.
the answer would be 12 hundredths or .12
Greatest comment factor of 15^2 & 25c
Answer:
25
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF),
25
PLEASE HELP
FIRST ONE TK ANSWER
GETS BRAINLIEST Choose the number that shows the value of the expression 3 x (6 + 1.4) -42
A. 3.4
B. 6.2
O C. 11.4
D. 14.2
MAKE SURE TO LOOK AT THE PHOTO I HAVE PUT
Answer:
B. 6.2
Step-by-step explanation:
The calculation is done by hand and verified by a TI-84 calculator.
The exact value of X
Answer:
x = 92
hope this answer helps you......
The correct answer
x = 14
Pythagorean theorem
50=c
48=b
?=a
a=√(50²-48²)
a=14
14#
HELP LOOK AT THE PHOTO PLEASEEE
Answer:
The answer to the question provided is 60.
Une cuisinière sait qu'il faut 2 h 15 min pour que sa dinde soit cuite. A quelle heure devra-t-elle
l'enfourner si on veut la manger à 13 h 10 ?
Answer:
10 h 55 min
Step-by-step explanation:
13 h 10 - 2h = 11 h 10
11 h 10 - 15 min = 10 h 55 min
Please I really need to know how to do this ASAP
Answer:
the blue block 'side' is 10
the pink block ' bottom' is 9
the cream 'side' block is 13 (length)
the green back triangle next to the blue side is also 10
and the other side of the green back triangle is 8
Given the first three terms of Geometric Sequence: 2b+2, b+4, b, where each of the tem is
positive, find
1) the value of b. (8)
ii) the first term and common ratio. (18,2/3)
(2009)
Answer:
1. b = 8
2. First term (T₁) = 18
Common ratio (r) = 2/3
Step-by-step explanation:
1. Determination of the value of b.
2b+2, b+4, b
First term (T₁) = 2b + 2
2nd term (T₂) = b + 4
3rd term (T₃) = b
The value of b can be obtained as follow:
Common ratio = T₂/T₁ = T₃/T₂
T₂/T₁ = T₃/T₂
(b + 4)/(2b + 2) = b/(b + 4)
Cross multiply
(b + 4)(b + 4) = b(2b + 2)
Expand
b(b + 4) + 4(b + 4) = b(2b + 2)
b² + 4b + 4b + 16 = 2b² + 2b
b² + 8b + 16 = 2b² + 2b
Rearrange
2b² – b² + 2b – 8b – 16 = 0
b² – 6b – 16 = 0
Solving by factorisation
b² – 8b + 2b – 16 = 0
b(b – 8) + 2(b – 8) = 0
(b – 8)(b + 2) = 0
b – 8 = 0 or b + 2 = 0
b = 8 or b = –2
Since each of the terms are positive, therefore, b is 8.
2. Determination of the first term and common ratio.
2b+2, b+4, b
First term (T₁) = 2b + 2
b = 8
First term (T₁) = 2(8) + 2
First term (T₁) = 16 + 2
First term (T₁) = 18
2nd term (T₂) = b + 4
b = 8
2nd term (T₂) = 8 + 4
2nd term (T₂) = 12
Common ratio (r) = T₂/T₁
First term (T₁) = 18
2nd term (T₂) = 12
Common ratio (r) = 12/18
Common ratio (r) = 2/3
PLEASE ANSWER ASAP FOR BRAINELST!!!!!!!!!!!!!!!!!!!
Find the area of the figure.
NO LINKS
I need help again
♂️
Answer:
the 3rd one
Step-by-step explanation: