The margin of error is 0.027 and the interval estimate at 95% confidence interval is 0.612 to 0.666
How to calculate the margin of error and the interval estimateFrom the question, we have the following parameters that can be used in our computation:
Proportion, p = 63.9%
Sample size, n = 1200
The margin of error can be calculated using:
E = z * √((p * (1 - p))/n)
Where
z = 1.96 i.e. z-score at 95% CI
Substitute the known values in the above equation, so, we have the following representation
E = 1.96 * √((0.639 * (1 - 0.639))/1200)
Evaluate
E = 0.027
The interval estimate is calculated as
I = p ± E
So, we have
I = 0.639 ± 0.027
Evaluate
I = 0.612 to 0.666
Hence, the interval estimate is 0.612 to 0.666
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Question
Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver’s license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1200 people under 20 years old who were eligible to have a driver’s license in 1995 and again in 2016.
At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver’s license in 1995?
Kevin and his children went into a restaurant and he bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25. He bought 3 times as many hotdogs as drinks. Graphically solve a system of equations in order to determine the number of hotdogs, x,x, and the number of drinks, y,y, that Kevin bought.
Answer:
6 hot dogs, 2 drinks
Step-by-step explanation:
let y = number of hot dogs
let x = number of drinks
system:
y = 3x
4.5y + 2.25x = 31.50 (standard form: y = -1/2x + 7)
if you graph the system, lines intersect at (2, 6)
Answer:
y=1/3 x
y=-2x+14
(6,2)
6 hotdogs and 2 drinks
Step-by-step explanation:
:)
There were 120 students at a creative writing workshop last year. This year there are 138 students. What is the percent of increase in the number of students at the workshop?
Answer:
34%
Step-by-step explanation:
The percent of increase in the number of students at the workshop is 15%.
Given that, there were 120 students at a creative writing workshop last year. This year there are 138 students.
What is percentage increase formula?The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time. Mathematically, this formula is represented as the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.
Here, initial value = 120 students and final value = 138 students.
Difference in value = Final value - Initial value
=138-120=18
Percentage of increase = [tex]\frac{18}{120}\times 100[/tex]
= 15%
Therefore, the percent of increase in the number of students at the workshop is 15%.
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complete the table of values for y=2-x
x= -1, 0, 1, 2, 3, 4,
y= , , , , -1, ,
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
Please please please hellllllppp meeeeee !!!!!!!!!
Of the factors of 12 shown, which also have a sum of 7?
A: 12,1
B: 2,6
C: 3,4
HELP ME PLZ
What is the slope of a parallel to the line that passes through (- 3, 1) and (3, 7)
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{7-1}{3-(-3)}[/tex]
= [tex]\frac{7-1}{3+3}[/tex]
= [tex]\frac{6}{9}[/tex]
= [tex]\frac{2}{3}[/tex]
Answer:
To calculate slope with any two given points the formula is y2 - y1 / x2 - x1. So to solve the problem just plug in the values: 7 - 1 / 3 - (-3), 6 / 6, the slope is 1
There are 65 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 3 cups?
ANWSER:
STEP BY STEP EXAMPLE:
Answer: 22
Step-by-step explanation: 65 divided by 3 is 22
Answer:
21or22
Step-by-step explanation:
65/3
Multiply
3
a) 4- +
O
1
x16- +5
4
8
8
b) (2.01+(-3.17))*(-4.2 +17.8
Answer:
Multiply
3
a) 4- +
O
1
x16- +5
4
8
8
b) (2.01+(-3.17))*(-4.2 +17.8
Step-by-step explanation:
Multiply
3
a) 4- +
O
1
x16- +5
4
8
8
b) (2.01+(-3.17))*(-4.2 +17.8
Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much does Oscar raise? Please show work and equation and this is 5th grade math.
1. 246.00
2. 245.00
3. 246.08
Answer:
246.00
Step-by-step explanation:
58.75+23.25=82 then 82*3
Answer:
246.000
Step-by-step explanation:
Well If you take it and Line it up like this,
(A)Amy; 58.75
(J)Jeremy; A+23.25
(O)Oscar; A+23.25= ?x3
This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.
Hope this helps.
the answer below thanks
Answer:
The equation of the circle having centre (-5,-9) and radius r=3 is
x² + 10 x +y² + 14 y + 65 = 0
Step-by-step explanation:
Explanation:-
From graph The centre of the circle C( -5 , -7)
The radius of the circle r = 3cm from the centre of the given circle
The equation of the circle
From graph the centre ( h, k) = ( -5,-7) and r = 3cm
[tex](x-(-5))^2+(y-(-7))^2 = 3^2[/tex]
x² + 10 x +25 +y² + 14 y + 49 =9
x² + 10 x +25 +y² + 14 y + 49 -9=0
The equation of the circle
x² + 10 x +y² + 14 y + 65 = 0
There were 350 apples on the tree in March. By September there were 420 apples on the tree. What was the percentage of change of apples on the tree? Round your answer to the nearest tenth.
Answer:
them some fast growing apples
Step-by-step explanation:
realy
what is the quotient of 14,875÷35
Answer:
424.8571428571429
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the value of angle GFD.
Group of answer choices
24
58
34
122
Answer:
∠GFD = 58°Step-by-step explanation:
∠F = 180 - 24 - 34
∠F = 122
∠GFD = 180 - 122
∠GFD = 58°
Helpppppppppppppppppppppppp
Suppose we have universal set U. What does it mean to say that X is a subset of U?
Answer:
All of the elements of X are elements of U.
Step-by-step explanation:
HELP!
during a back to school sale, a store sold jeans at a 25% discount. if one pair of jeans originally cost $35, what was its price during the sale?
Answer:
15$
Step-by-step explanation:
hope this helped
Answer:
35*0.25= 8.75 (multiply by the discount converted into a decimal)
35- 8.75= 26.25 (subtract that from the original to find the discount price)
or
35* 0.75= 26.25 (multiply by the percentage of the original price that you bought the jeans at)
Step-by-step explanation:
either way the answer is $26.25 is the discounted price
Draw a scaled copy of the circle
using a scale factor of 2.
How does the circumference of the scaled copy compare to the circumference of the original circle?
How does the area of the scaled copy compare to the area of the original circle?
Answer:
the circumfrence is the diameter times pi so if the diameter was 3 you would time that by 3.14 to get the circumfrence hope that helps
Step-by-step explanation:
The circumference of the scaled copy is half the circumference of the original circle.
The area of the scaled circle is half the area of the original circle.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
Let the radius of the circle = r
The circumference of the circle = 2πr
The area of a circle = πr²
Now,
Scale factor = Original circle / Scaled circle
Now,
Scale factor = 2
2 = Circumference of the Original circle / Circumference of the Scaled circle
Circumference of the Scaled circle = (1/2) Circumference of the Original circle
Again,
Scale factor = 2
2 = Area of the Original circle / Area of the Scaled circle
Area of the scaled circle = (1/2) Area of the original circle
Thus,
The circumference of the scaled copy is half the circumference of the original circle.
The area of the scaled circle is half the area of the original circle.
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in her last computer game, Lucy scored 3×10⁷ points. The first time she tried the game, she scored 6×10³ points. How many times as many points is Lucy's last score as her first score?
Answer:
u have to drop 18 pionts .
Step-by-step explanation:
Answer:
u have to drop 18 pionts .
Step-by-step explanation:
In a school choir there is 1 boy for every 4 girls. There is a total of 11 boys. How many girls are in the choir.
Answer:
44 Girls
Step-by-step explanation:
which of the following are trinomials?
PLS, I REALLY NEED THIS ANSWER.
Answer:
Option (A) and Option (B)
Step-by-step explanation:
Trinomial is a polynomial having three terms.
Option A
[tex]\frac{5}{7}y^3+5y^2+y[/tex]
Number of terms = 3
So it's a trinomial.
Option (B)
x⁴ + x² + 1
Number of terms = 3
It's a trinomial.
Option C
6x² + 0.5y²
Number of terms = 2
It's a binomial.
Option D
x² + 3
Number of terms = 2
It's a binomial.
Option E
x¹¹
Number of terms = 1
Monomial
Option F
8x
Monomial.
Therefore, Option (A) and Option (B) are the correct options.
What is the difference of the polynomials?
I will give 40 points
Answer:
im answering this for the points and also u lied about how many points i would be getting. -.-
Step-by-step explanation:
answer is C i think
Answer:
7x^{2} +3y^{2} -4x
Step-by-step explanation:
12-5=7
-11-(-14)=3
-13-(-9)= -4
so it will be [tex]7x^{2} +3y^{2} -4x[/tex]
Daryl has 7 hats. David has h times more hats than Daryl. How many hats does David
have?
for 10 points!!
Answer:
David has 7h hats
Step-by-step explanation:
Daryl: 7
David: 7h
a) Solve x² + 4x - 8 = 0 by completing the square
Answer:
x = 2 + 2i, x = 2 - 2i
Step-by-step explanation:
[tex] {x}^{2} - 4x + 8 = 0 \\ \\ {x}^{2} - 4x + 4 + 4= 0 \\ \\ {x}^{2} - 4x + {(2)}^{2} = - 4 \\ \\ {(x - 2)}^{2} = - 4 \\ \\ x - 2 = \pm \sqrt{ - 4} \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i[/tex]
a soup recipe calls for 1 1/2 quarts of vegetable broth and 3/4 quart of chicken broth. what is the total number of cups of chicen broth and befetable broth needed for yhe soup revipe?
Answer:
2 3/4 - 1/2 = 2 6/8 - 4/8 = 2 2/8 = 2 1/4
Step-by-step explanation:
−k+2(−2k−5) please help me
Answer:
-5k - 10
Step-by-step explanation:
-k + 2 (-2k - 5)
-k - 4k - 10
-5k - 10
Answer:
-K+2(-2K-5)
-K-2K-10
-3K=10
K= 10÷(-3)
K=-3.333333
Which situation represents a non-proportional relationship?
The cost of purchasing p pounds of salmon for $7.99 per pound.
The amount a student makes mowing m number of lawns charging $35 per lawn.
The amount of water draining at a rate of 2.5 gallons per minute.
The total cost of renting a jet ski for $25 per hour plus a fee of $50.
Answer:
Correct option:
"The total cost of renting a jet ski for $25 per hour plus a fee of $50."
Step-by-step explanation:
Proportional relationships are associations between two variables where the ratio of these two variables are correspondent. Or, in a proportional relationship, one variable is a constant value times the other variable. This constant is known as the "constant of proportionality".
The first three options represents a proportional relationship.
But the last option does not.
"The total cost of renting a jet ski for $25 per hour plus a fee of $50."
That is,
TC = 25·h + 50
The relationship is linear not proportional.
7 c = ___qt??????????????
Answer:
1.75qt
Step-by-step explanation:
Answer:
The basketball travels in a parabolic route in order to engage in the passage through the net.
Step-by-step explanation:
Help please!!!
Triangle ABC is similar to triangle PQR, as shown below
Answer:
b:q
Step-by-step explanation:
im pretty sure its that. ive learned this before.
if you flipped them so that c and r were facing the same direction, then b and q would be too.
Solve the following for y: 9x − 3y = 18 (5 points) y = −3x − 6 y = 3x − 6 y = −3x + 6 y = 3x + 6
Answer:
Y = 3x - 6
Step-by-step explanation:
- 3y = -9x + 18
divide by -3
y = 3x - 6
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
What is the slope of the line?
- 1 / 4
- 8 / 17
- 4
- 6
Answer: The slope of the line = 4.
Step-by-step explanation:
We know that ,
Slope of a line passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here , the line passes through points (2,18) and (8,42).
Then the slope of the given line = [tex]\dfrac{42-18}{8-2}[/tex]
[tex]=\dfrac{24}{6}=4[/tex]
Hence, the slope of the line = 4.
Answer:
4
Step-by-step explanation:
i took the test and got it right