Answer:
0.01521
Step-by-step explanation:
The Margin of Error for Difference in Proportions is given as:
z × √p1 × (1 - p1)/n1 - p2 × (1 - p2)/n2
z = z score for 95% confidence interval
= 1.96
In 2018, out of 1542 respondents, 415 said it was the most important.
p1 = x1/n1
x1= 326 n1 = 1323
p1 = 326/1323
0.246409675
Approximately = 0.246
In 2012, out of 1323 respondents, 326 said it was the most important.
p2 = x2/n2
x2 = 415, n2 = 1542
p2= 415/1942
p2 = 0.2136972194
Approximately = 0.214
Margin of Error =
1.96 × √0.246× (1 - 0.246)/1323- 0.214 × (1 - 0.214)/1542
1.96 × √0.0005699169 - 0.0005097276
1.96 × √(0.0000601893)
1.96 × 0.0077581763
= 0.0152060256
Approximately = 0.01521
Therefore, Margin of Error = 0.01521
You can use the formula for margin of error for difference in proportion to find the margin of error with 95% confidence.
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
How to calculate margin of error for difference in proportion to find the margin of error ?Suppose we've two samples with sample sizes [tex]n_1[/tex] and [tex]n_2[/tex] respectively. Let the interested quantities found out in those samples out of their sample sizes are [tex]x_1[/tex] and [tex]x_2[/tex] respectively. Then we have the margin of error for difference in proportion to find the margin of error as:
[tex]MOE = Z_{\alpha/2} \times \sqrt{\dfrac{p_1(1-p_1)}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]
where we have:
[tex]p_1 = \dfrac{x_1}{n_1}\\\\p_2 = \dfrac{x_2}{n_2}[/tex]
and
[tex]\alpha = \text{Level of significance}[/tex]
Using the given data to get the margin of error[tex]Year = 2015\\n_1 = 1542\\x_1 = 415\\\\Year = 2012\\n_2 = 1323\\x_2 = 326\\\\\alpha = 100-95\% = 1-0.95 = 0.05[/tex]
For 95% confidence, we have Z score as 1.96
The proportions are calculated as:
[tex]p_1 = \dfrac{415}{1542} = 0.269\\\\p_2 = \dfrac{326}{1323} = 0.246[/tex]
Thus, margin of error is calculated as
[tex]MOE = 1.96 \times \sqrt{\dfrac{0.269 \times 0.731}{1542} + \dfrac{0.246 \times 0.754}{1323}} = 1.96 \times \sqrt{0.000127 + 0.00014}\\\\MOE = 1.96 \times 0.01634 = 0.032[/tex]
The margin of error with 95% confidence for the given data is given by
MOE = 0.32
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If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
Answer:
it’s A. (f+g)(x) is greater than or equal to 3 for all values of x.
Step-by-step explanation:
I got it right on the test.
Answer:Yoo the anser is A
Step-by-step explanation:
for the makeupo math corse
-(f + g)(x) 3 for all values of x
Was it easier to add, subtract, divide, or multiply polynomials?
Explain why?
Is for a essay help me
Answer:
Add them
Step-by-step explanation:
What is an equation of the line that passes through the point (-5 7) and is parallel to the line x-5y=15
Answer:
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
Slope = m & y-intercept = b
x - 5y = 15
-5y = -x + 15
y = [tex]\frac{-1}{-5}x + \frac{15}{-5}\\\\[/tex]
[tex]y = \frac{1}{5}x - 3[/tex]
so, slope = 1/5 ; (-5 , 7)
y -y1 = m(x -x1)
[tex]y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8[/tex]
When you multiply a given fraction by a factor greater than 1, the product will (always, sometimes, never) be less than the given fraction
9514 1404 393
Answer:
sometimes
Step-by-step explanation:
For positive numbers, multiplying by a factor greater than 1 increases their value:
(1/2) × 2 = 1 > 1/2
For negative numbers, multiplying by a factor greater than 1 decreases their value:
(-1//2) × 2 = -1 < -1/2
So, "sometimes" the product will be less than the given fraction.
Which figure shows a line segment?
K
D
Step-by-step explanation:
Option c shows line segment because it has no arrow marks
What is the result when 16^3 +28x+22x+15 is divided by 4x+5
Answer:
50
x
+
4111
4
x
+
5
Step-by-step explanation:
pls help i’m on the verge of tears
Answer:
Aw don't cry <3
It would be easier if you use a website with a graph! There is a website called "desmos" and if you search up desmos graphing calculator you will find it. Type in the points in the website, and it would add in the points for you.
but here is a piece of key information:
Make [tex]\frac{3}{4}[/tex] into a decimal. That would be 0.75.
Since it says "of the way from", count the boxes in the graph from each point.
Hope this helps! ^.^
30 cm = mm
Pls help me!!!
Answer:
300
Step-by-step explanation:
Multiply the length which is 30 cm by 10 to give you the length in mm.
Answer:
0.3
Step-by-step explanation:
To build a deck, Roberto needs to buy 180 screws (s), 9 posts (p), and 36 pieces of 1" by 6" lumber (l). He already had the rest of the materials for the deck that he needs. An expression that represents his purchases is shown below:
180s + 9p + 36l
Part A:
Factor the expression that represents Roberto's purchases.
Part B:
The costs of buying the deck materials are shown in the chart below:
Material Cost
100 screw container $6.99
1 post $16.40
Set of 10 pieces of lumber $88.20
What materials does Roberto need to buy?
Part C:
What is the total cost to buy the deck materials (excluding tax)?
The total cost of materials can be found from a list of materials based on the market unit rate.
The correct responses are;
Part A: The factored expression is; 9 × (20·s + p + 4·l)Part B: The materials to be bought are; 2 cartons of screws, 9 pieces of posts, and 4 sets of 10 pieces of lumber.Part C: The total cost of materials is $514.38.Reasons:
Part A: The given expression representing the purchase is presented as follows;
Purchases = 180·s + 9·p + 36·l
Where;
s = Screws
P = Posts
l = Lumber
The factored expression is found as follows;
Purchases = 180·s + 9·p + 36·l = 9 × 20·s + 9·p + 9 × 4·l, which gives;
180·s + 9·p + 36·l = 9 × (20·s + p + 4·l)
The factored expression is; 9 × (20·s + p + 4·l)
Part B: The costs are;
100 screws = $6.99
1 posts = $16.40
10 pieces of lumber = $88.20
The materials Roberto need to buy are;
180 screws, which can be obtained by buying 2 cartons of screws.
9 posts, which is obtained by buying 9 pieces of posts.
36 lumber which can be obtained by buying 4 × 10 pieces = 40 pieces of lumber.
Therefore, the, material Roberto needs to buy are;
2 cartons of screws
9 pieces of posts
40 pieces of lumber
Part C: The total cost of the materials are therefore;
2 cartons of screws × $6.99 per carton = $13.98
9 pieces of posts × $16.40 per piece = $147.6
4 Sets of 10 pieces of lumber × $88.20 per set = $352.8
The total cost = $13.98 + $147.6 + $352.8 = $514.38
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PLZ HURRY IT'S URGENT!!!
What are the roots of the quadratic?
-3 and 0
-3 and 1
-1 and 3
-1 and -3
Answer:
Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots. are given by the quadratic formula.
Step-by-step explanation:
Tasha assembled a picture frame that is advertised as rectangular. The completed frame is 14 inches long and 10 inches wide. She measured the diagonal length across the frame as 20 inches. Which best explains why the frame cannot actually be rectangular?
14 squared + 10 squared not-equals 20 squared
14 + 10 not-equals 20
(14 + 10) squared not-equals 20 squared
(14 squared + 10 squared) squared not-equals 20 squared
Answer:
a
Step-by-step explanation:
got it right
14 squared + 10 squared not-equals 20 squared. Therefore, option A is the correct answer.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, the completed frame is 14 inches long and 10 inches wide.
Tasha measured the diagonal length across the frame as 20 inches.
By using Pythagoras theorem, we have
20²=10²+14²
400=100+196
400≠296
Therefore, option A is the correct answer.
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What's 258/42?
What's 4,274/51?
What's 7,106/ 78?
What's 28,440/ 72?
(Make sure there's no Decimal point, the answer has to be like 27 R2 for example.)
Write a multiplication equation with one variable and one fraction that has the solution 8
PLEASE HELP ME!!!!!!!
Answer:
orange
Step-by-step explanation:
please help thank you
A cylinder with radius 7 centimeters and height 9 centimeters has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder .
Answer:
16 times larger
Step-by-step explanation:
Chicken Delight claims that 92% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 85 orders revealed that 74 were delivered within the promised time. At the 0.05 significance level, can we conclude that less than 92% of the orders are delivered in less than 10 minutes?
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : π ≥ 0.92
H1 : π < 0.92
At α = 0.05
Left tail
Z0.05/2 = Z0.025 = - 1.645
The test statistic
Zstatistic :
(m - p) / σ
Sample size, n = 85
m = 74/85 = 0.87
p = 0.92
σ = sqrt(p(1 - p) /n)
σ = sqrt(0.92(1 - 0.92) / 85)
σ = sqrt(0.0008658)
σ = 0.0294258
σ = 0.0294
Zstatistic :
(m - p) / σ
(0.87 - 0.92) / 0.0294
Zstatistic = −1.700680
Zstatistic = - 1.70
Decision region :
Reject H0: if ;
Zstatistic < Zcritical
-1.70 < - 1.645
Since,
Zstatistic < Zcritical ; then Reject H0.
Simplify the expression.
2/5y − 4 + 7 − 9/10y =
Answer:
-y-6/2
Step-by-step explanation:
Answer:
− y-6/2
Step-by-step explanation:
A research group is interested in gauging perceptions about costs of textbooks among college students. They use an alphabetized list of students in state universities and use technology to generate a randomly shuffled list of students. They then select students to contact from this list until they have succeeded in contacting 175 students. What is the population parameter of interest
Answer:
Cost of textbooks
Step-by-step explanation:
The population parameter refers to any numerical messure derived from using the entire population data. Since the study above looks to evaluate how college students view the cost of books. Since the population of interest is all students, the reason for which the entire population of students are employed and the variable that is to be measured using these population of student is called the population parameter. In the other hand, numeric estimates or observations derived from a portion of the population called the sample is refereed statistic.
What’s the answer to this question
Jenny can hike 5 kilometers in 30 minutes. What is Jenny’s average hiking speed in kilometers per hour?
Answer:
10
Step-by-step explanation:
5*2 is 10
Answer:
30 minutes is half of an hour
so multiply both 30 and 5 by 2
So for every hour, Jenny hikes 10 kilometers
Rewrite
1 2/3 (one and two thirds) using fifteenths.
is -9 irrational or rational
Answer:
Rational because it's a whole number
hope this helps
have a good day :)
Step-by-step explanation:
What is the degree of 7 x6 - 6x5 + 2x3 + x-8?
O A. 6
O B. 7
O c. 5
O D. 8
Each side of a pentagon is 20 inches longer than the previous side. What is the length of the shortest side is the perimeter is 401 inches?
Answer:
40.2
Step-by-step explanation:
Side 1= x
Side 2= x+20
Side 3= x+40
Side 4= x+60
Side 5= x+80
Total perimeter= 401
x+x+20+x+40+x+60+x+80= 401
Simplify it...
5x=201
x= 40.2
This is the answer= 40.2
Please award me brainliest!
Thanks!
The length of the shortest side of the pentagon would be:
40.2
Find the lengthGiven that,
Every side of a pentagon is longer by 20 inches.
No. of sides in pentagon = 5
So,
Ist side of the pentagon [tex]= x[/tex]
IInd Side of the pentagon [tex]= x + 20[/tex]
IIIrd Side of the pentagon [tex]= x + 40[/tex]
IVth Side of the pentagon [tex]= x + 60[/tex]
Vth Side of the pentagon [tex]= x + 80[/tex]
We know that,
Perimeter = Sum of all the sides
Since the perimeter is 401 inches, the side can be determined through:
[tex]401 = x+x+20+x+40+x+60+x+80[/tex]
⇒ [tex]401 = 5x + 200[/tex]
⇒ [tex]401 - 200 = 5x[/tex]
⇒ [tex]201/5 = x[/tex]
∵ [tex]x = 40.2[/tex]
Thus, 40.2 is the correct answer.
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A bike repair shop charges $10 to evaluate a bike and $5 per hour to repair it.
Is 22,18,12 a right triangle
Answer:
Step-by-step explanation:
12²+18²=144+324=468
22²=484
468<484
12²+18²≠22²
it is not a right angled triangle.
PLEASE HELP
Find the length of the missing side.
Answer:
use Pythagoras theorem
the missing side is base
Step-by-step explanation:
pythagoras theorem
h^2 = p^2 + b^2
73^2 = 48^2 + b^2
5329 = 2304 + b^2
5329 - 2304 = b^2
3025 = b^2
√3025 = b
55 = b
what is 6(-5n + 7) simplified?
Answer:
-30n+42
Step-by-step explanation:
You have to use distributive property.
Multiply 6 with -5n which is -30n. Then, Multiply 6 with 7 which is 42. Since, 5n is negative the product is also negative, and since 7 is positive the product is positive. Therefore you will get, -30n+42.
I hope this helps!
Could I get brainliest? ✨
The simplified form of 6(-5n + 7) is -30n + 42.
To simplify the expression 6(-5n + 7), we apply the distributive property. The distributive property states that when we multiply a number outside the parentheses by an expression inside the parentheses, we must multiply it by each term inside the parentheses.
In this case, we have 6 multiplied by the expression (-5n + 7).
Multiplying 6 by -5n gives us -30n, and multiplying 6 by 7 gives us 42.
So, combining these results, we get -30n + 42.
This simplified expression, -30n + 42, cannot be further simplified because there are no like terms to combine.
Therefore, 6(-5n + 7) simplifies to -30n + 42.
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Question 2 10
A group of 15 friends went to Six Flags. 4 friends had $45 each, 3 friends had $40, and 5 friends had only $25. The rest of the
friends only had $15. What is the average amount of money each friend had going to Six Flags? Round your answer to the
nearest hundredths.
Answer:
140.00
Step-by-step explanation:
(45x4) + (40x3)+(25x5)+(3x15) = 2100 (the amount they all had )
the amount they had ÷ the number of ppl
= 2100÷15
= 140.00