Answer:
2
Step-by-step explanation:
Which is the greater rate, 15 miles in 12 minutes or 25 miles in 20 minutes?
Someone was interested in determining if there is a difference in the proportion of US adults that working hard was the most important thing for a child to learn in 2012 and 2018. They found data on this in the General Social Survey. In 2018, out of 1542 respondents, 415 said it was the most important. In 2012, out of 1323 respondents, 326 said it was the most important. Find the margin of error with 95% confidence.
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
Learn more about margin of error here:
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Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Ms. Gallegos must ride her bike to burn more than 590 calories?
Answer:
T = 2.5
Step-by-step explanation:
Hope this helps!
Answer:
T >2.5
Step-by-step explanation:
Brainliest :)
(Score for Question 3: ___ of 5 points)
(a) Order the popularity of the choices from greatest to least.
(b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work.
(c) 40 people voted for “Other.” Was the estimate of total voters from Part (b) accurate? Explain.
this is for k12 so click off if u dont have an answer or ill report
Goron should get 98 votes
The question breaks down to taking 35% of 280.
Votes = 35/100 * 280 = people who will vote for Goron
Votes = 9800 / 100 = people who will vote for Goron.
Votes = 98
If K = {(x, y) Ix-y=5), is Set K a function?
1. Νο
2. Yes
Answer:
no its not
Step-by-step explanation:
3x + y = 19
2x - y = 6
Answer:
Step-by-step explanation:
(x,y)=(5,4)
Describe how you would find the value of an "a" coefficient.
Answer:
A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.
Step-by-step explanation:
there are 2918 male workers in a factory. There are 1264 fewer male than female workers. HOW MANY MALE AND FEMALE WORKERS ARE THERE IN THE FACTORY ALTOGETHER?
So you add 2,918+1,264=4,182
Create a word problem that can be represented by the following system of equations.
X + y = 50
2x + 4y = 120
Answer:
Step-by-step explanation:
You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars
The total tickets sold on Saturday was 50
The train station made 120
How many adult tickets and kid tickets did they sell?
(40 kids, 10 adults)
A pen cost $40 and the book cost $10
The word problem that can be represented by the equation is: John bought one pen and one book for $50. He went the next day and bought 2 pens and 4 books for $120.
x + y = 50 ....... i
2x + 4y = 120 .... ii
Let x = pen
Let y = book.
From equation i, x = 50 - y
Since 2x + 4y = 120
2(50 - y) + 4y = 120
100 - 2y + 4y = 120
Collect like terms
-2y + 4y = 120 - 100
2y = 20
y = 10
Therefore, a book cost $10
Since x + y = 50
x + 10 = 50
x = 50 - 10
x = 40
A pen cost $40
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you drive a car 45 miles at spd r (mph). on return trip, spd is 3/4 r. the round trip took 1 hr 45 min. find avg speed
Answer:
the agv speed is 223
Step-by-step explanation:
Answer:
51.42 avg mph
Step-by-step explanation:
45+45 = 90 miles total for 1 3/4 hours
90/.75 = 51.42 avg mph
helpppppppppppppppppppppppppppp
Hi the answer should be 4
hey i need help!!!!!!
Answer:2.10%
Step-by-step explanation:
2 is the whole number with 1/10 being also = to 10/100s
A florist sells a dozen roses for $22.60. She sells individual roses for the same unit cost. Write an equation to represent the relationship between the number of roses, x and the total cost of the roses, Y. How much would 18 roses cost ?
please answer asap
Answer:
The cost of the roses are $53.10
Celebration! Hope this helps ^_^
please help PLEASE HELP!!!!!!!!!!!!!!! I AM SUPER DESPARATE I NEED MUCH MUCH MUCH HELP
Answer:
8.v = r 2 πh 3
Step-by-step explanation:
232. Сколько решений имеет уравнение | х + 3 | -один?
Answer: уравнение имеет 2 решения:
x₁ = - 4; x₂ = - 2.
Step-by-step explanation:
Ix + 3I = 1
1) x + 3 = 1
x + 3 - 3 = 1 - 3
x = -2
2) - (x + 3) = 1
x + 3 = - 1
x + 3 - 3 = - 1 - 3
x = - 4
I need help on these problems!! Please help
Answer:
1. 6cm
2. 14cm
3. 12cm
4. 8cm
5. 9cm
6. 5cm
Step-by-step explanation:
Hope this helps
HELP ITS REALLY URGENT
Answer/Step-by-step explanation:
a. m<h = x°
Two angles to use in finding x are <h and 55°
Angle pair formed: linear pair angles
b. x° + 55° = 180° (linear pair)
Subtract 55° from each side
x + 55 - 55 = 180 - 55
x = 125°
c. Given: m<n = y°
Two angles to use in solving for y are: <h and <n
Angle pair formed: alternate exterior angles
d. m<n = y° (given)
m<n = x° = 125° (as solved in 2b)
Therefore:
y = x (alternate exterior angles are congruent)
thus:
y = 125° (substitution)
Can somebody help me?????
Answer:
1/2 = 3/6
Step-by-step explanation:
.................
On a scale drawing, the scale is 12 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 feet?
Answer:
......
Step-by-step explanation:
Answer
11 inches by 8.5 inches
Step-by-step explanation:
We can use proportions to solve this problem, drawing on top, real life on bottom
1/2 inch x inches
-------------- = ----------
1 ft 22ft
Using cross products
1/2 * 22 = x*1
11 =x
11 inches
1/2 inch x inches
-------------- = ----------
1 ft 17ft
Using cross products
1/2 * 17 = x*1
8.5 =x
what is 48,000 rounded to the nearest ten thousand
50,000 because 8 is larger than 5 so you round up to 5 in the ten thousands place.
Craig has 6 bags of candy that weigh pound each. Wendy has 5 bags of candy that weigh pound each.
How does Craig's amount of candy compare to Wendy's amount of candy?
yes
A cyclist is riding a bicycle whose wheels have a diameter of 2.1 feet. Suppose the wheels turn at a rate of 260 revolutions per minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute. Do not round any intermediate computations, and round your answer to the nearest whole number.
Answer:
a.1633rad/min
b.1715feet/min
Step-by-step explanation:
We are given that
Diameter of wheel, d=2.1 feet
Radius of wheel, r=[tex]\frac{d}{2}=\frac{2.1}{2}[/tex]feet
Rate=260 rev/min
a. We have to find the angular speed of the wheel in rad/min
1 rev=[tex]2\pi[/tex]radian
Where [tex]\pi=3.14[/tex]
Using the value
Angular speed=[tex]260\times 2\times 3.14/min[/tex]
Angular speed,[tex]\omega=1633rad/min[/tex]
(b)
Speed=[tex]r\omega[/tex]
Using the formula
Speed of the cyclist=[tex]\frac{2.1}{2}\times 1633[/tex]feet/min
Speed of the cyclist=1714.65[tex]\approx 1715[/tex]feet/min
5. Which of the following is a pair of alternate exterior angles?
Angles 1 and 4
Angles 2 and 8
Angles 1 and 7
Angles 4 and 7
Answer: angle 1 and 7
Step-by-step explanation: you just do it
how do i graph y=1/2x+3
Which ordered pair is a solution? Select all that apply
y + 3 = 4 (x - 7)
(5, 5)
(10, 9)
(8, 1)
(-1, 5)
Answer:
(10, 9) and (8, 1)
Step-by-step explanation:
you can just use substitution
PLEASEEE HELP
I NEED ANSWRR NOW
Answer:
B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH
What is 13/20 as a part to part ratio
65%
Convert fraction (ratio) 13 / 20 Answer: 65%
HELP PLEASE WILL GIVE BRAINLIST
Please help me ASAP! on these two questions please and thank you have a great and blessed day!
Answer:
1: 1.268, 1.265, 1.256
2: $16.42
Step-by-step explanation:
I did the math.
Find the angle between the diagonal of a cube of side length 15 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians. (Hint: we may assume that the cube is in the first octant, the origin is one of its vertices, and both diagonals start at the origin.)
Answer:
the angle between the diagonal is 0.6155 RADIANS
Step-by-step explanation:
Given the data in the question
as illustrated in the image below;
O is [0,0,0]
B is [15,0,15]
E is [15,15,15]
Now to find angle BOE
vector OB = [15,0,15]
vector OE = [15,15,15]
OB.OE = [15,0,15].[15,15,15] = 15 × 15 + 15 × 15 = 450 = |OB||OE|cos[angleBOE]
|OB| = √(15² + 15²) = √(225 + 225) = √450
|OE| = √(15² + 15² + 15²) = √(225 + 225 + 225) = √675
so
Angle BOE = cos⁻¹ ( 450 / ( √450 × √675 )
Angle BOE = cos⁻¹ ( 0.81649 )
Angle BOE = 35.265°
Angle BOE = 0.6155 RADIANS
Therefore, the angle between the diagonal is 0.6155 RADIANS