Answer:
[tex]CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}[/tex]
Step-by-step explanation:
Given
[tex]n = 200[/tex]
[tex]x_1 = 34[/tex] -- City C
[tex]x_2 = 54[/tex] --- City K
Required
Determine the 90% confidence interval
This is calculated using:
[tex]CI = \bar x \± z\frac{\sigma}{\sqrt n}[/tex]
Calculating [tex]\bar x[/tex]
[tex]\bar x = \bar x_1 - \bar x_2[/tex]
[tex]\bar x = \frac{x_1}{n} - \frac{x_2}{n}[/tex]
[tex]\bar x = \frac{34}{200} - \frac{54}{200}[/tex]
[tex]\bar x = 0.17 - 0.27[/tex]
For a 90% confidence level, the z-score is 1.65. So:
[tex]z = 1.65[/tex]
Calculating the standard deviation [tex]\sigma[/tex]
[tex]\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }[/tex]
So:
[tex]\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }[/tex]
[tex]\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}[/tex]
So:
[tex]CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}[/tex]
[tex]CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}[/tex]
The temperature was 6 degrees below 0 (in Fahrenheit) today. Write a signed number to represent this temperature.
Answer:
hmmmm im thinking
Step-by-step explanation:
PLEASE HELP ASAP! thank you!
2 cups is to 8 cans as 14 cups is to ___ cans?
Answer:
56
Step-by-step explanation:
The ratio is 1:4
14 * 4 = 56
Answer: 56
Step-by-step explanation:
8 ÷ 2 = 4 (cans) - it is 1 cup.
14 × 4 = 56 (cans) - it is 14 cups.
Find the missing exponent.
10
100
Submit
Write a compound statement that results in a true conjunction.
Answer:
p->q .......................
17 apples for $3.91 what is the unit rate per apple
9514 1404 393
Answer:
$0.23 per apple
Step-by-step explanation:
The cost per apple is found by dividing the cost by the number of apples. (You can think of "per" as meaning "divided by".)
cost/apple = $3.91/(17 apples) = $0.23 /apple
if anyone know the answers to this question i really need help.
Answer:
b.) 6
Step-by-step explanation:
2^6 = 64 because 2 * 2 * 2 * 2 * 2 * 2 = 64.
Determine whether each sequence appears to be an arithmetic
sequence. If so, find the common difference and the next three terms
in the sequence.
1) 3,9,26,81 ...
2) 5,6.5,8,9.5...
The amount C in grams of carbon-14 present in a certain substance after t years is given by
C = 52e-0.0001097
a. What is the initial amount of carbon-14 present?
Answer:
987e-628479.9079083
Step-by-step explanation:
Answer:
maybe 7
Step-by-step explanation:
A B C OR D SOMEONE HELP
Answer:
B
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals. For example. if the slope of a line is 2, the slope of a line perpendicular to it would be [tex]-\frac{1}{2}[/tex]. If the slope of a line [tex]-\frac{1}{3}[/tex], the slope of a line perpendicular to it would be 3.
Negative reciprocals always have a product of -1, since the numerators cancel out and one of the values is negative.
I hope this helps!
4x + y=7
2x - 7y=1
If (x,y) is the solution to the given system of equations, what is the Value of X?
Answer:
[tex]x = \frac{5}{3} [/tex]
What is the height of the triangle with an area of 64 square feet and a base of 8 feet?
Answer:
8
Step-by-step explanation:
8*8 = 64
b*h = a
Help please and thanks
If you throw exactly two heads in three tosses of a coin you win $35. If not, you pay me $25. Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
the answer is :
25-30=-10
THIS IS AN ESSAY NOT JUST AN ANSWER
Prompt:
What does it mean to multiply polynomials?
Explain how to multiply (x + 2) (X - 4) as if you're teaching a student a year
younger than you.
Answer:
We assume before this you have learned how to multiply two monomials and monomial with binomial.Use the following formula to multiply binomials:
(a + b)(c + d) = ab + ad + bc + bdApplied to the given expression, we have:
(x + 2)(x - 4), where a = x, b = 2, c = x , d = -4Expand as indicated above:
(x + 2)(x - 4) =x(x) + x(-4) + 2(x) + 2(-4)Now simplify
x² - 4x + 2x - 8Collect like terms, (-4x) and (2x):
x² + (-4x + 2x) - 8 = x² - 2x - 8This is how you can do same order operations with any binomials.
We can simply use distributive law of grade 1
(a+b)(c+d)=ac+ad+bc+bdI assume you know multiplication of monomials
So
(x+2)(x-4)x(x-4)+2(x-4)x²-4x+2x-8x²-2x-8Find the coordinates of the midpoint between the two
points on the graph.
Answer:
(0,2)
Step-by-step explanation:
Cords are ( 0, 4 ) and ( 4, -4)
x1 + x2 / 2 , y1 +y2/2
0 + 4 / 2 , 4 - 4 / 2
4/2,0/2
(2,0)
Which of the following is the MOST reasonable equation for the line of best fit?
Answer:
either c or b that's what I think
Please help I don’t understand
Consider the following question.
"Do you watch television every day?"
Which of the following statements BEST explains why the question is NOT a statistical question?
A The question does not anticipate variability in the answers
B The question results in a single absolute answer.
C The question may be answered differently by different people.
D. The question does not require an explanation
Answer:
a
Step-by-step explanation:
Answer:
C, the only info for the question is about yourself which is a survery question
Step-by-step explanation:
B
What does a single point on the plot represent?
Help please!!!!!!!!!!
Answer:
6/8,
12/16,
24/32
48/64
96/128
192/256
384/512
Step-by-step explanation:
A company has offices in two different countries. Suppose that the average age (in years) of the employees at location A is 40.140.140, point, 1 with a standard deviation of 5.55.55, point, 5, and the average at location B is 36.736.736, point, 7 with a standard deviation of 6.36.36, point, 3.
Every month, the company takes separate random samples of 505050 employees from each location for a survey. Each time, they look at the difference in the mean age sampled from each location \left( \bar{x}_\text{A} - \bar{x}_\text{B} \right)(
x
ˉ
A
−
x
ˉ
B
)left parenthesis, x, with, \bar, on top, start subscript, start text, A, end text, end subscript, minus, x, with, \bar, on top, start subscript, start text, B, end text, end subscript, right parenthesis.
What do we know about the shape of the sampling distribution of \bar{x}_\text{A} - \bar{x}_\text{B}
x
ˉ
A
−
x
ˉ
B
x, with, \bar, on top, start subscript, start text, A, end text, end subscript, minus, x, with, \bar, on top, start subscript, start text, B, end text, end subscript, and why?
Answer:
It's approximately normal, because both sample sizes are at least 303030.
Step-by-step explanation:
Khan Academy
IT'S A TIME SENSITIVE EMERGENCY!!!
2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.
Complete question is missing, so i have attached it.
Answer:
Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
Factorise the following.
Answer:
iii. (l + m - n)(l - m + n)
vi. (5a -b) ( 5b - a)
Step-by-step explanation:
iii. l² - (m - n)²
= (l + m - n)(l - m + n)
vi. 4(a+b)² - 9(a-b)²
= (2(a+b))² - (3(a-b))²
= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))
= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)
= (5a -b) ( 5b - a)
Q. 1) l²- (m - n)²
=(l - m + n)(l + m - n)
Q.2) 4(a+b)²- 9(a-b)²
= [(2(a+b))²- (3(a-b))²]
=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]
=[2a+2b+3a-3b][2a+2b-3a+3b]
=[5a-b][5b-a] ]
Maria is selling knitted hats and scarves at the Craft Market.
• A hat requires 15 minutes to make.
• A scarf requires 30 minutes to make.
• Maria has 300 minutes to make the hats and scarves.
Additionally,
• Maria wants to make no more than 16 items.
• When Maria sells the necklaces and wristbands at the Craft Market, she will make $2.00 profit per hat and $4.00 profit per scarf.
Let x = the number of hats Maria makes.
Let y = the number of scarves Maria makes.
Answer:
i dont know yet, ill try to figure it out
help with geometry question please
Answer:
Length of parallel side 2 = 2.91 km
Step-by-step explanation:
Given figure is a trapezoid
Given:
Area of trapezoid = 16.3 km²
Length of parallel side 1 = 5.9 km
Height of trapezoid = 3.7 km
Find:
Length of parallel side 2
Computation:
Area of trapezoid = [Sum of parallel side/2]Height
Area of trapezoid = [(a+b)/2]h
[(5.9 + b)/2]3.7 = 16.3
Length of parallel side 2 = 2.91 km
Write the rule for the nth term of the sequence 2, 6, 18, 54, ... Then find a8.
Answer:
Multiply by 3
a8 = 4,374
Step-by-step explanation:
Which function is shown in the graph below?
10
8
.
.4
0.5, 0.4(1.0)
ᎨᎲᎢ
4
0
8
-2
1-4
1-3
-10
Answer:
square root function is the correct answer
The solution is, y = 2 ^ (x + 2) +3, is the function is shown in the graph below.
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
For this case we observe the cut point with the y axis in:
(0, 7)
The function that complies with this is:
y = 2 ^ (x + 2) +3
We have then:
y = 2 ^ (0 + 2) +3
y = 2 ^ (2) +3
y = 4 + 3
y = 7
Answer:
The answer for this case is given by:
y = 2 ^ (x + 2) +3
option 2
Hence, The solution is, y = 2 ^ (x + 2) +3, is the function is shown in the graph below.
To learn more on graph click:
brainly.com/question/17267403
#SPJ7
It's Friday afternoon and six fraternity brothers at UNC have just attended their last class of the semester. To unwind before the final exam Monday morning, they decide to spend the weekend at the beach. After a weekend of immature, irresponsible behavior, they oversleep Monday morning and miss the final exam. Later that day they go to their professor (who received her Ph.D. from NC State) and explain that they went to the beach and were on the way back for the final exam but their car (a BMW of course) had a flat tire. The professor says that they can come back the next morning and she will give them a make-up final exam consisting of one short-answer question! The students are ecstatic and high-five each other all the way back to the frat house. The next morning the professor puts each student in a different room and hands them their one-question test. The question: Which tire?
Required:
What is the probability that all 6 students will say that the same tire was flat?
Please help me solve
Answer:
s= -2
Step-by-step explanation: