A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is. Of this sample, 53% stated that they thought 2 children is the ideal number. Construct and interpret a 95% confidence interval for the proportion of all US adults that think 2 children is the ideal number.
Answer:
at 95% Confidence interval level: 0.501776 < p < 0.558224
Step-by-step explanation:
sample size n = 1200
population proportion [tex]\hat p[/tex]= 53% - 0.53
At 95% confidence interval level;
level of significance ∝ = 1 - 0.95
level of significance ∝ = 0.05
The critical value for [tex]z_{\alpha/2} = z _{0.05/2}[/tex]
the critical value [tex]z _{0.025}= 1.96[/tex] from the standard normal z tables
The standard error S.E for the population proportion can be computed as follows:
[tex]S,E = \sqrt{\dfrac{\hat p \times (1-\hat p)}{n}}[/tex]
[tex]S,E = \sqrt{\dfrac{0.53 \times (1-0.53)}{1200}}[/tex]
[tex]S,E = \sqrt{\dfrac{0.53 \times (0.47)}{1200}}[/tex]
[tex]S,E = \sqrt{\dfrac{0.2491}{1200}}[/tex]
[tex]S,E = 0.0144[/tex]
Margin of Error E= [tex]z_{\alpha/2} \times S.E[/tex]
Margin of Error E= 1.96 × 0.0144
Margin of Error E= 0.028224
Given that the confidence interval for the proportion is 95%
The lower and the upper limit for this study is as follows:
Lower limit: [tex]\hat p - E[/tex]
Lower limit: 0.53 - 0.028224
Lower limit: 0.501776
Upper limit: [tex]\hat p + E[/tex]
Upper limit: 0.53 + 0.028224
Upper limit: 0.558224
Therefore at 95% Confidence interval level: 0.501776 < p < 0.558224
John has 5 boxes of sweets. One group of boxes has 5 sweets in each box. The second group of boxes has 4 sweets in each box. John has a total of 22 sweets. How many boxes of each type John has?
Answer:
3 boxes with 4 sweets and 2 boxes with 5 sweets
Step-by-step explanation:
Boxes with 4 sweets= xBoxes with 5 sweets= yAs per given, we have following equations:
x + y = 54x + 5y = 22x= 5- y as per the first equation, considering in second one:
4(5 - y) + 5y = 2220 - 4y + 5y = 22y =2Then:
x= 5 - y = 5 - 2= 3So there 3 boxes with 4 sweets and 2 boxes with 5 sweets
Divide the sum of (-5), (-10) and (-9) by the product of 2 and (-3).
Answer:
[tex]\large \boxed{4}[/tex]
Step-by-step explanation:
[tex]\sf The \ sum \ of \ -5, \ -10, \ and \ -9 \ is \ divided \\ by \ the \ product \ or \ multiplication \ of \ 2 \ and -3.[/tex]
[tex]\displaystyle \frac{-5+-10+-9}{2 \times -3}[/tex]
[tex]\displaystyle \frac{-24}{-6}[/tex]
[tex]=4[/tex]
Answer:
4
Step-by-step explanation:
-5+(-10)+(-9)/2*(-3)
=-5-10-9/-6
=-24/-6
=4
EXTRA POINTS If x = 2.5, 5x = ____. (Only input decimals such as 12.7 as the answer.)
Answer:
12.5
Step-by-step explanation:
2.5 * 5 = 12.5
A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Answer:
The watered area is approximately 3783 square feet.
Step-by-step explanation:
The area that is watered due to the rotation of the spankler is a circular section area ([tex]A[/tex]), whose formula is:
[tex]A = \frac{\theta }{2}\times \frac{1}{360^{\circ}}\times 2\pi \times d^{2}[/tex]
Where:
[tex]d[/tex] - Water distance, measured in feet.
[tex]\theta[/tex] - Rotation angle, measured in sexagesimal degrees.
Given that [tex]d = 85\,ft[/tex] and [tex]\theta = 60^{\circ}[/tex], the watered area is:
[tex]A = \frac{60^{\circ}}{2} \times \frac{1}{360^{\circ}}\times 2\pi \times (85\,ft)^{2}[/tex]
[tex]A \approx 3783\,ft^{2}[/tex]
The watered area is approximately 3783 square feet.
Answer:176
Step-by-step explanation:
6 times 29.33333333333333
Simplify: 5 - 2(3 + 4)
Answer:
-9
Step-by-step explanation:
Hey there!
Well, to simplify,
5 - 2(3 + 4)
Wel need to use PEMDAS,
3+4=7
7 * -2 = -14
5 - 14 = -9
Hope this helps :)
Answer:
-9
Step-by-step explanation:
[tex]5 - 2(3+4)\\5 - 2(7)\\5 - 14\\-9[/tex]
Find the measure of f.
Answer:
44 degrees.
Step-by-step explanation:
The 3 small triangles are isosceles so m < a = m < b , therefore
m < a = (180 - 92) / 2 = 44 degrees.
m < f = m < a ( they are both subtended on the circle by the same chord (cd)),
So m < f = 44.
Jonah will cover a cube in wrapping paper. Each edge of the cube is 25 cm long. What is the least amount of
wrapping paper he needs to cover the cube?
15 625 square centimeters
25 square centimeters
37.5 square centimeters
42 25 square centimeters
Save and Exit
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Subm
MO
Answer:
3750 cm²
Step-by-step explanation:
To find the answer, we need to find the surface area of the cube. The surface area formula for a cube is 6a² where a = the length of an edge. We know that a = 25 so the surface area is 6 * 25² = 6 * 625 = 3750 cm².
Answer:
37.5 hopefully this is the answer you were looking for!
Step-by-step explanation:
Which line is parallel to line r? line p line q line s line t
Answer:
I agree with the other person that Line S is the one parallel to line R.
Step-by-step explanation:
This is because they do not intersect each other and if they were to continue to go on forever, the lines would never intersect. Lines are parallel when they never intersect. Also, there are indication lines that show that the two lines are parallel, you see the arrows that are in the lines.
The line which is parallel to the line r will be line b
What is a line?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Parallel lines are those line which has the same slope or we can say the angle between the parallel line is always zero.
A parallel line is also called for the lines which do not intersect.
From the given question it is clearly visible that line q p t all are intersecting the line r and line s are not intersecting hence, line s will be parallel to the line r.
For more about line
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round your answer to the nearest hundredth. Find angle A=?
Answer:
A=48.81
Step-by-step explanation:
it is a right angle triangle find the hypotenuse c using Pythagorean theorem:
c²=a²+b²
c²=8²+7²
c=√64+49
c=10.63
sin A =opp/hyp
sin A=8/10.63
A= 48.81
another way :
tan A=opp/adj
tan A=8/7
A=48.81
PLEASE HELP ASAP!! (: One link below. I WILL NAME BRAINLIEST!! 30 points (: Make sure to show ur work. One who shows work and gets correct, gets title of Brainliest!! (: Convert the percentages to a fraction, and then convert the fraction to a mixed number or a whole number!
Answer:
[tex]\boxed{\sf{view \: explanation}}[/tex]
Step-by-step explanation:
To convert percentages into a fraction, divide the value by 100.
[tex]\displaystyle 800\% =\frac{800}{100} =8[/tex]
[tex]\displaystyle 375\% = \frac{375}{100} =\frac{15}{4} =3\frac{3}{4}[/tex]
[tex]\displaystyle 240\% = \frac{240}{100} =\frac{12}{5} =2\frac{2}{5}[/tex]
Answer:
see below
Step-by-step explanation:
To change a percent to a fraction, divide by 100 and simplify
800% = 800/100
Dividing by 100
= 8/1
=8
375% = 375/100
Dividing by 25
=15/4
Changing to a mixed number
4 goes into 14 3 times with 3 left over
3 3/4
240% = 240/100
Dividing by 20
=12/5
Changing to a mixed number
5 goes into 12 2 times with 2 left over
= 2 2/5
Aaron and his 2 friends found some money and split it even. Each received $5.00. How much did they find? a. $1000 b. $100 c. $15 d. $1500
Answer:
15
Step-by-step explanation:
Aaron and his 2 friends = 3 people
Each received $5.00 = 3 people*5 each = 15 total
Estimate. Then determine the area. Please please please, need help!
Estimate:
2.3 rounds down to 2
So after multiplying by 2, the area is estimated to be 4 cm squared.
Actual Area:
2.3 x 2 = 4.6
The actual area of the shape is 4.6 cm squared.
Hope this helped!
Answer:
4.6
Step-by-step explanation:
On Wednesday at camp, Samuel went for a hike at 6:30 A.M. The hike took 2 hours and 15 minutes. As soon as he got back from the hike, Samuel played volleyball for 1 hour. What time did Samuel finish playing volleyball?
Answer:
9:45 A.M.
Step-by-step explanation:
First, add the time that took him to hike:
6:30 + 2 hours and 15 minutes = 8:45 A.M.
Next, add the 1 hour that he played volleyball for:
8:45 + 1 hour = 9:45 A.M.
So, he finished playing volleyball at 9:45 A.M.
Answer:
9:45 am
Step-by-step explanation:
He went at 6:30 am to a hike.
It took him 2 hours 15 minutes
=> 6 : 30
+ 2 15
=> 8 : 45
He came back from the Hike at 8:45 am
He played volleyball for 1 hour.
=> 8 : 45
+ 1
=> 9 : 45
He finished playing volleyball at 9:45 am
At a parking lot, the ratio of people to cars is 3 : 5. If there are 30 people, how many cars are there? *
Answer:
50 cars
Step-by-step explanation:
Let's define p as the number of people and c the number of cars.
We know that p / c = 3/5 or in other words, there are 5 cars every 3 people. If we have 30 people means that p = 30 which implies 30/c = 3/5 which implies c = 5/3 * 30 = 50.
Answer:
Step-by-step explanation:people=30=3/5
30/5=6*3=18
car=30=5/3
30/3=10
10*5=50
so there are 50 cars there
Find the coordinates of point X that lies along the directed line segment from Y(-8, 8) to T(-15, -13) and partitions the segment in the ratio of 5:2. A. (-5, -15) B. (-23, -5) C. (-13, -7) D. (-11.5, -2.5)
Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A[tex](x_1,y_1)[/tex] and B[tex](x_2,y_2)[/tex] in the ratio m:n is given by:
[tex]x=\frac{m}{m+n} (x_2-x_1)+x_1\\\\y=\frac{m}{m+n} (y_2-y_1)+y_1[/tex]
Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:
[tex]x=\frac{5}{5+2} (-15-(-8))+(-8)\\\\x=\frac{5}{7} (-15+8)-8=\frac{5}{7}(-7)-8=-5-8=-13 \\\\\\y=\frac{5}{5+2} (-13-8)+8\\\\y=\frac{5}{7} (-21)+8=5(-3)+8=-15+8=-7[/tex]
Therefore the coordinates of point X is at (-13, -7)
1. Create shapes of the given perimeter. Label all sides.
Shapes will vary from student to student. There is not one
correct answer per figure!
# of sides perimeter
5 3inches
4 4feet
3 16.8meters
can someone just help me figure out how to do this? you don't have to give the answer, just explain pls
Step-by-step explanation:
It looks like you have to draw a figure and then label every side with how long it is.
This first shape is a pentagon because it has 5 sides, and for each side of the pentagon the length would be 3/5 so .6 inches.
The second shape is a square because it has 4 sides, you than would label each side as 1 ft, because when you add them all it equals 4.
The third shape is a triangle with 3 equal sides. When you divide 16.8/3 it shows thag each side of this triangle will be labeled with 5.6 meters.
Solve this Proportion. Will give BRAINLIST!!
Answer:
x=19.3333
Step-by-step explanation:
Cross multiply
6(x-3)=14*7
6x-18=98
6x=98+18
6x=116
x=19.3333
PLS HELP BRAINLIST A RHANK YOU AND 5 STARS
Answer:
Hey there!
x=95
This is because x and the angle of 95 degrees are vertical angles, and vertical angles are congruent to each other.
Let me know if this helps :)
Susan Johnson earns a yearly salary of $83,280. a. How much would Susan be paid if she were
paid monthly? b. How much would she be paid if she were paid bi-weekly?
Find the product of 0.3×0.23.
Answer:
0.069
Step-by-step explanation:
0.3*0.23=0.069
I Need Help Please :(
Answer:
[tex] \frac{2 {}^{5} }{7 {}^{5} } [/tex]
Step-by-step explanation:
[tex]( \frac{2}{7}) {}^{5} =\frac{2 {}^{5} }{7 {}^{5} } [/tex]
Hope this helps ;) ❤❤❤
Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2). 9x3 − 2x − 3 3x3 + 2x + 3 3x3 − 2x − 3 9x3 + 14x + 3
Answer:
9x3 - 2x - 3.
Step-by-step explanation:
(6x3 − 8x − 5) + (3x3 + 6x +2)
= 6x3 − 8x − 5 + 3x3 + 6x + 2
= 6x3 + 3x3 - 8x + 6x - 5 + 2
= 9x3 - 2x - 3.
Answer:
9x-2x-3
Step-by-step explanation:
I took the test
Please answer this question now
Answer:
Surface area of the cone = 1306.24 square centimeters
Step-by-step explanation:
Surface area of a cone is determined from the formula,
Surface area of cone = πr(r + l)
where 'r' = radius of the circular base of the cone
l = lateral height of the cone
And π = 3.14
Surface area of the cone with 'r' = 13 cm and 'l' = 19 cm
Surface area = 3.14(13)(13 + 19)
= 3.14(13)(32)
= 1306.24 square centimeters
−|9| = −9 True or False
Answer:
True
Step-by-step explanation:
|9| means the absolute value, how far it is away from zero, so that's 9. Then it's just -9=-9. If it were |-9| then the absolute value would be 9 making the equation false.
The expression −|9| is the negation of the absolute value of 9, which is 9. This is not equal to -9.
Hence, The answer is False.
The absolute value of a number is its distance from zero. It is always non-negative. Therefore, the absolute value of 9 is 9, not -9.
The negation of a number is its opposite. The opposite of 9 is -9.
Therefore, the expression −|9| is the negation of the absolute value of 9, which is 9. This is not equal to -9.
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1+cos(8x)= A.4cos(2x) B.2cos^2(4x) C.4sin(2x) D.2sin^2(4x)
Answer:
bro please send in a picture format so that it could be more easier
The first three steps in determining the solution set of the system of equations algebraically are shown.
y = x2 − x − 3
y = −3x + 5
What are the solutions of this system of equations?
Answer:
(- 4, 17 ) and (2, - 1 )
Step-by-step explanation:
Given the 2 equations
y = x² - x - 3 → (1)
y = - 3x + 5 → (2)
Substitute y = x² - x - 3 into (2)
x² - x - 3 = - 3x + 5 ( subtract - 3x + 5 from both sides )
x² + 2x - 8 = 0 ← in standard form
(x + 4)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
Substitute these values into (2) for corresponding values of y
x = - 4 : y = - 3(- 4) + 5 = 12 + 5 = 17 ⇒ (- 4, 17 )
x = 2 : y = - 3(2) + 5 = (- 6 + 5 = - 1 ⇒ (2, - 1 )
if jane has 3 apple then buys 4 times as much as that how much does she have
Answer:
12 apples
Step-by-step explanation:
3*4=12
2x-4Y+6 take aaway 3y-11
Answer:
2x - 7y + 17
Step-by-step explanation:
Subtracting the 2 expressions
2x - 4y + 6 - (3y - 11) ← distribute parenthesis by - 1 )
= 2x - 4y + 6 - 3y + 11 ← collect like terms
= 2x - 7y + 17
Answer:
0
Step-by-step explanation:
2x_4y +6_3y_11
2x_7y=17
2x _7y+17=0
In a group of 900 people, 323 have blood type A 167 have blood type B, 210 have blood type o, and 200 have blood type AB. What is the probability that a person
chosen at random from this group has type A blood?
00.23
0036
0022
O 0.19
Answer:
0.036
Step-by-step explanation:
We can find the probability by dividing the number of people with type A blood by the total amount of people.
There are 900 people in total and 323 of them have type A blood.
323/900
= approximately 0.036
Answer: Choice B) 0.36
================================================
Work Shown:
323 people have blood type A
900 people are being sampled
323/900 = 0.35888888888889 approximately
This rounds to 0.36, which is the probability of picking someone with type A blood.
We don't use any other values given, so they are probably put in there as a distraction.
7(x+1)=21 solve for x
