Considering the margin of error, it is found that the 95% confidence interval for the percentage of adults who say vaccines should be required is (64.9%, 71.1%).
What is a confidence interval?
It is given by the sample statistic plus/minus the margin of error.
In this problem, 68% of adults say such vaccines should be required, with a margin of error of 3.1%, hence:
68% - 3.1% = 64.9%.
68% + 3.1% = 71.1%.
The 95% confidence interval for the percentage of adults who say vaccines should be required is (64.9%, 71.1%).
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How many 10 inch pieces of bar can be cut from a bar that measures 120 inches?
Please explain !!
Answer:
12 ten inch pieces
Step-by-step explanation:
you do 120 divided by 10 to get an answer of 12
hope this helped =)
The sum of two numbers is 53 The larger number is 11 more than the smaller number. What are the numbers?
Answer:
21 and 32 are the numbers
Step-by-step explanation:
Let assume that the the two numbers are X and Y and that X is the large number.
According to the question,
X + Y = 53 .................. Equation 1
then, X = 11 + Y........... Equation 2
Substitute equation 2 into equation 1.
[11 + Y] + Y = 53
11 + 2Y = 53
2Y = 53 - 11 = 42
2Y = 42
Y = 42 / 2 = 21,
Therefore, Y = 21 [Small number].
According to equation 1,
X +Y = 53
X + 21 = 53
X = 53 - 21 = 32.
Therefore, X = 32 [Big number]
Round each fraction to help you estimate the solution for the following equation: (2 points) nine tenths minus eight tenths equals a 0 b one half c 1 d one and one half
Answer: 9/10-8/10=1/10
Step-by-step explanation: The answer is 1/110
Figure b 32.5 12.5 30 figure a 13 12 5
Mr. Lee has 61 pencils. He gave some pencils away. Now he has 33 pencils left. Which equation can be used to find how many pencils Mr. Lee gives away.
Answer:
61-33...
Step-by-step explanation:
If he gave away 61 from his 33 then its 61-33
An inground swimming pool contains 2.3 times 10 superscript 4 units of water. which unit of measure was used? teaspoons cubic centimeters fluid ounces gallons
The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.
What is the Unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,
Though the real measurement is still the same the units and numerical values have been changed.
As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.
We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.
Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.
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Solve the formula S = 47tr2 for r.
Answer:
A
Step-by-step explanation:
First divide S by 4pi. Then take the square root to solve for r.
Look at △ABC and △DEF on this coordinate grid.
Which transformation shows that △ABC and △DEF are similar?
A
a dilation of △ABC with a scale factor of 2
B
a translation of △ABC 1 unit up and 3 units to the right
C
a dilation of △ABC with a scale factor of 12
D
a translation of △ABC 3 units up and 3 units to the right
Answer:
A
Step-by-step explanation
Dilation: A shape is scaled up or down by a scale factor
Translation: A shape is moved on a coordinate plane to a different spot.
A works because lets you one side (the bottom side). The bottom has a length of 3, and the bigger one has a length of 6, showing a scale factor of 2.
Selina is picking strawberries. She is using 5 boxes to hold them all. Each box has a width of 6 in, a height of 3 in, and a length of 4 in. What is the total volume of all 5 boxes? Explain how to solve this problem.
The volume of a cuboid is the product of its length, width, and height. The total volume with Selina is 360 in³.
What is the volume of a cuboid?The volume of a cuboid is the product of its length, width, and height. It is represented as,
[tex]\rm \text{Volume of Cuboid} = (Length \times Width \times Height)\ unit^3[/tex]
The volume of each of the boxes with a width of 6 in, a height of 3 in, and a length of 4 in, can be written as,
[tex]\rm \text{Volume of a single Box} = 6\ in \times 3\ in \times 4\ in = 72\ in^3[/tex]
Now, the total number of boxes Selina has is 5, therefore, the total volume with Selina can be written as,
[tex]\rm \text{Total\ Volume} = \text{Volume of a single box} \times 5 = 72\ in^3 \times 5 = 360\ in^3[/tex]
Hence, the total volume with Selina is 360 in³.
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Solve for x.
Your answer must be simplified.
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
1. Set A
2. [tex]\textsf{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]
3.
[tex](x+7)(x-7)[/tex]
[tex]\implies a=x\:\textsf{and}\:b=7[/tex]
[tex]\implies x^2-7^2=x^2-49[/tex]
[tex](x-9)(x+9)=(x+9)(x-9)[/tex]
[tex]\implies a=x\:\textsf{and}\:b=9[/tex]
[tex]\implies x^2-9^2=x^2-81[/tex]
[tex](4x-3)(4x+3)=(4x+3)(4x-3)[/tex]
[tex]\implies a=4x\:\textsf{and}\:b=3[/tex]
[tex]\implies (4x)^2-3^2=16x^2-9[/tex]
4.
[tex](2x+5)(2x-5)[/tex]
[tex]\implies a=2x\:\textsf{and}\:b=5[/tex]
[tex]\implies (2x)^2-5^2=4x^2-25[/tex]
5. [tex](x-6)(x-6)[/tex]
Cannot use Difference of Two Squares Formula to expand this expression. To expand this expression, you would need to use the FOIL method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]\implies (x-6)(x-6)=x^2-6x-6x+(-6)^2=x^2-12x+36[/tex]
Answer:
1.Set A
2.Aplyyanses of shortcut based
[tex] \beta \sin( \sec( \cos(e \alpha \% log_{14 |kkjja| }(?) ) ) ) bcaue \: f \: thd \: \: aakdx[/tex]
Step-by-step explanation:
thire9
an electrician completes 1/6 of a job in 2/3 hour. at this rate, how long does it take the electrician to complete the job?
PLEASE HELP!!!! IM GONNA GET IN TROUBLE
Answer:
4 hours.
Step-by-step explanation:
2/3 * 6
= 12/3
= 4 hours.
Answer:
4
Step-by-step explanation:
1/6 x 2/3(flip 1/6 to 6/1 so its easier to calculate; they mean the same thing)6/1 x 2/3 = 12/33 x 12 = 4Hope this helps <3
try to stay out of trouble lol
Are these ratios equivalent? 4:5 12:20
Answer:
No
Step-by-step explanation:
[tex]\dfrac{12}{20} =\dfrac{3 \times 4}{4 \times 5}= \dfrac 35\neq \dfrac 45[/tex]
Rebecca bought 6 boys' bicycles and 8 girls' bicycles. If it takes her 22 minutes to unpack and assemble each one, how long will it be before they are all assembled?
Answer:
308 minutes or 5 hours and 8 minutes
Step-by-step explanation:
First, let's add the bicycles of both boys and girls together:
6 + 8 = 14
Now, let's multiply that number by 22 since she will have to assemble all of those bicycles and it will take 22 minutes for each:
22 x 14 = 308
It will take a total of 308 minutes or 5 hours and 8 minutes to assemble all of those bicycles.
1. Ms. Rodriquez wanted to grow out her hair. She measured the growth each month. The first month
her hair grew 1.775 centimeters. The next month it grew 1.45 centimeters. The third month it grew
1.2 centimeters. How many centimeters did Ms. Rodriquez's hair grow in three months?
Answer:
Step-by-step explanation:
If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data? an association cannot be determined between the categorical variables because the relative frequencies are not similar in value. there is likely an association between the categorical variables because the relative frequencies are not similar in value. an association cannot be determined between the categorical variables because the sum of the relative frequencies is 1.0. there is likely an association between the categorical variables because the sum of the relative frequencies is 1.0.
There is likely an association between the categorical variables because the relative frequencies are not similar in value.
What is the frequency?Frequency describes the number of waves that pass a fixed place in a given amount of time.
A conditional relative frequency table is generated by a column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.
If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data.
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Answer:
There is likely an association between the categorical variables because the relative frequencies are not similar in value.
Step-by-step explanation:
I already know what a and b are i just need help on c
Answer:
180⁰
Step-by-step explanation:
Since the angle of straight line is 180⁰
Answer:
A and B = 180 degrees
Step-by-step explanation:
this is because a circle is 360 and a line wich would be cutting the line in half is 180. so the two andles must add up to 180 degrees.
What is
5d- 1 = -11
Can I get a breakdown on the answer please
Answer: d=-2
Step-by-step explanation:
As we know the order of operations are
1) Parenthesis/Brackets
2) Exponents
3) Multiplication/Division
4) Addition/Subtraction
However, when you solve equations you must do the order of operations backwards
So start by adding 1 to both sides because whatever you do to one side of the equation you must do to the other side
[tex]5d-1=-11\\5d-1+1=-11+1\\5d=-10[/tex]
Now divide both sides by 5 to isolate d
[tex]5d=-10\\\frac{5d}{5} =\frac{-10}{5} \\d=-2[/tex]
Thirty
five years ago, the average price of a textbook was $36. Today, the average textbook is $79. What percent increase is this? Round to the nearest percent if needed
A.54%
B.67%
C.119%
D.107%
pls help its an exam
Answer:
107% if you want to be sure check
PLEASE HELP!!!!!!!!!!!!!!!! what is the perimeter of the trapezoid?
Complete the equivalent equation for –7x – 60 = x2 10x. (x )(x ) = 0 what are the solutions of –7x – 60 = x2 10x? x =
Answer:
(x + 5)(x + 12) = 0
What are the solutions?
x = -12 or -5
Step-by-step explanation:
Hope it helps! :D
Answer:
(x + 5)(x + 12) = 0
and
x = -12 or -5
Step-by-step explanation:
Explain how to graph the point (-4, 6)
Answer:
four spaces to the left, and 6 spaces up.
The table below represents the data collected at a sandwich shop for the last six months with respect to the type of bread people ordered (sourdough or wheat) and whether or not they got cheese on their sandwich.
What is the P(cheese | wheat) ? Show all work to receive full credit.
Answer:
The number of times people got cheese and wheat is 1200
Step-by-step explanation:
Hope this helps! Have a good day! :)
Answer:
[tex]\sf \dfrac{12}{19}[/tex]
Step-by-step explanation:
To begin, add the column and row totals to the table (see attachment).
Let W = Wheat
Let C = With cheese
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(W)=\dfrac{1900}{3125}=\dfrac{76}{125}[/tex]
[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]
[tex]\implies \sf P(W \cap C)=\dfrac{1200}{3125}=\dfrac{48}{125}[/tex]
As the events W and C are not independent, we can use the formula:
[tex]\sf P(C\: | \:W)=\dfrac{P(W \cap C)}{P(W)}[/tex]
Substituting the values into the formula:
[tex]\sf P(C\: | \:W)=\dfrac{\frac{48}{125}}{\frac{76}{125}}=\dfrac{48}{76}=\dfrac{12}{19}[/tex]
11 is a quotient of a number y and 6
Answer:
y = 66
Step-by-step explanation:
"11 is a quotient of a numer y and 6" can be re-written as:
y/6 = 11
To solve, multiply both sides by 6.
y = 66.
Which is f(6) for the quadratic function graphed?
-2
-0.5
1.5
ОО
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The Correct choice is 4
If we take value of x as 6 in the given function, then we will get the value of y as 4, as shown in the graph.
The graph below shows a linear function and an exponential function.
What is the minimum y-value after which the exponential function will always be greater than the linear function?
y = 1
y = 3
y = 4
y = 5
Answer:
4
Step-by-step explanation:
What are the solutions of x2 = 8 – 5x? startfraction 5 minus startroot 57 endroot over 2 endfraction comma startfraction 5 startroot 57 endroot over 2 endfraction startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 startroot 57 endroot over 2 endfraction startfraction negative 47 over 4 endfraction comma startfraction 67 over 4 endfraction startfraction negative 67 over 4 endfraction comma startfraction 47 over 4 endfraction
The solution of the given quadratic equation are,
[tex]x=\frac{-5-\sqrt{57} }{2}[/tex],[tex]x=\frac{-5+\sqrt{57} }{2}[/tex]
The equation to solve is given as
[tex]x^2=-5x+8[/tex]
Rearrange the given equation in standard form, [tex]ax^2+bx+c=0[/tex]
where, a,b and c are constants.
Therefore, we add 5x-8 on both sides to get,
[tex]x^2+5x-8=0[/tex]
Here, a=1,b=5 and c=-8
The solution to the above equation is
What is the quadratic formula?
[tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]
Use the value of a,b,c in the quadratic formula and solve for x
[tex]x=\frac{-5\±\sqrt{5^2-4(1)(-5)} }{2(1)}[/tex]
[tex]x=\frac{-5\±\sqrt{25+35} }{2(1)}[/tex]
[tex]x=\frac{-5\±\sqrt{57} }{2(1)}[/tex]
Therefore, the solutions are
[tex]x=\frac{-5-\sqrt{57} }{2},x=\frac{-5+\sqrt{57} }{2}[/tex]
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Answer:
answer is b
Step-by-step explanation:
13) Which expression is equivalent to 2(5 – 3x)?
-
A) 10 - 5x
B) 10 - 6x
-
07 - 5x
D) 7 6x
Answer:
B
Step-by-step explanation:
you need to distribute the 2
this leads to (2*5)- (2*3x)
=10-6x !
...................................................................
Answer:
b=2 and c=6
Step-by-step explanation:
According to the question,
a+b=c
Let b=2 and c =6 then, we get,
4+2=6
or, 6=6
proved
Lin needs `5` cups of flour to make muffins for her family, but only has `3. 5` cups of flour left. How much more flour does she need?
Answer:
1.5 cups
Step-by-step explanation:
5 - 3.5 = 1.5