The sample size that would make the study on the residents that wear seatbelts regularly most reliable is B. 1,500.
Which sample size is more reliable?When creating samples, there is a general rule that the higher the sample size, the more reliable the study is.
This is because a larger sample size is more likely to capture the characteristics of the population it is based on.
The most reliable sample size here is therefore 1,500 people.
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Which of the following equations is equivalent to
2x + y = 10
Ay = -2x - 10
By = 2x + 10
y=-2x + 10
y = -10x - 2
Answer:
y = -2x + 10
Step-by-step explanation:
Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The first week Ethan works, he gets 18 hours. The second week Ethan works, he gets 25 hours. If Ethan pays 10% federal income tax and 2% state income tax, what can he expect to bring home in his first paycheck?
If Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The amount he can expect to bring home in his first paycheck is: $321.64.
PaycheckTotal hours=18 hours+25 hours
Total hours=43 hours
Income tax=Federal income tax+ State income tax
Income tax=10%+2%
Income tax=12%
Hence,
First paycheck:
First paycheck=$8.50×43 hours×(1-12%)
First paycheck=$8.50×43 hours×0.88
First paycheck=$321.64
Therefore if Ethan got his first job and is making $8.50 an hour. He really wants to buy a couple of video games, so he is trying to estimate how much his paycheck will be. The amount he can expect to bring home in his first paycheck is: $321.64.
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One lap around a track is 1/4 mile. It takes Parker 1/20 hour to sprint
one lap. What is Parker's unit rate, in miles, around the track
Answer:
Parker's unit rate is 5 miles per hour or 5mph.
Step-by-step explanation:
1 hour = 60 minutes
60/20 = 3 minutes
3 minutes for 1 lap
1 lap = 1/4 mile
1/4 mile (1 lap) x 4 laps = 1 mile
4 laps = 12 minutes
12 minutes per mile
60/12 = 5
5 miles per hour
Just need help on one answer I’ll give Brainly!
Answer:
Q1 = 8
Hope this helps with your question :)
The line at the start of the "box" is Q1, the middle line in the "box" is the median also called Q2, and the last line of the "box" is Q3.
Calculate the perimeter of the rectangle in centimeters.
Lenght= 14cm
Width= 8cm
Frame three equations with solution x=-5
The three equations with solution x=-5 Are as follows:
25 + x = 15 ............... equation 1.
7x = -35 .......................equation 2.
15 + x = 10 ..................equation 3
In mathematics, what is linear equation?There is not more then one or two variables in a linear equation. In a linear equation, no variable is raised to a power larger than one or utilized as the denominator of a fraction. When you locate two values that satisfy a linear equation and display them on a coordinate grid, every one of the points falls on the same line.
What is a linear equation with one variable?A linear equation in one variable seems to be an equation that has just one solution and is stated in the form ax+b = 0, where a but instead b are two integers and x is a variable. 2x+3=8, for example, is a mathematical expression with a single variable.
According to the given information:x=-5 Given
This also can be written as :
25 + x = 15 ............... equation 1.
7x = -35 .......................equation 2.
15 + x = 10 ..................equation 3
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Charmaine invested her savings in two investment funds. The amount she invested in Fund A was 3 times as much as the amount she invested in Fund B. Fund A returned a 6% profit and Fund B returned a 15% profit. How much did she invest in Fund B, if the total profit from the two funds together was 1380?
Using a system of equations, it is found that she invested 318.71 into Fund B.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: Amount invested in Fund A.Variable y: Amount invested in Fund B.The amount she invested in Fund A was 3 times as much as the amount she invested in Fund B, hence:
x = 3y.
Fund A returned a 6% profit and Fund B returned a 15% profit, and the total profit was of 1380, hence:
1.06x + 1.15y = 1380.
We have that x = 3y, hence:
1.06(3y) + 1.15y = 1380.
4.33y = 1380
y = 1380/4.33
y = 318.71.
She invested 318.71 into Fund B.
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Which equation represents a line which is parallel to the line
y = −3/5x − 7?
-
3x + 5y = 15
5x + 3y = 12
3y - 5x = 6
3x - 5y = -30
Submit Answer
Answer:
3x+5y=15
Step-by-step explanation:
3x+5y=15
5y=-3x-15
y=-3/5x-3
Because it has the same slope and a different y-intercept, it is parallel because the lines won't ever touch.
Can somebody help me if you know what this is
Answer:-2,2.5,-7/3
Step-by-step explanation:
solve y-3x=13 for y
Answer:
y=3x+13
Step-by-step explanation:
Simply add the 3x to the other side.
Answer: y = 13 + 3x
Step-by-step explanation:
you just add 3x to both sides of the equation !! sorry if it doesn’t help but you basically put it the other way around and put 3x on both sides
In which interval is the radical function f of x is equal to the square root of the quantity x squared minus 2 times x minus 24 end quantity increasing? HELP!!! PLEASE!!! ASAP!!!
Answer:
Step-by-step explanation: C
Solve for the value of y.
Based on the given parameters, the value of y in the figure is 13
How to determine the value of y?The measures of the angles are given as:
Angle 1 = 8y
Angle 2 = 6y - 2
The angles are supplementary angles
So. we have
8y + 6y - 2 = 180
Evaluate the like terms
14y =182
Divide both sides by 14
y = 13
Hence, the value of y in the figure is 13
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Select the correct answer.
Function bis nonlinear, and b(9) = 4. Which equation could represent function b?
The nonlinear- function which represents b(9)=4 is given by b(x)=72/x - 4 .
In mathematics and physics, a nonlinear system is one in which the change in the output is not proportional to the change in the input. Engineers, biologists, physicists, mathematicians, and many other scientists are interested in nonlinear problems since the majority of systems are inherently nonlinear.
Nonlinear function graphs don't resemble lines at all. It contains the formula f(x) = ax + b. Its equation can take any form, with the exception of f(x) = ax + b. The slope of the curve is the same between any two points. The point pairs on the graph do not all have equal slopes.
Of all the given options: the only equations which imply that b(9)=4 are :
i) b(x)=72/x - 4 and (iv) b(x)=4
Of this two options only the first option is non-linear.
Hence the required option is b(x)=72/x - 4 .
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Disclaimer:
The missing options are:
i) b(x) = 72/x - 4
ii) b(x) = √x + 7
iii)b(x) = 2x+1
iv) b(x) = 4
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A Web music store offers two versions of a popular song. The size of the standard version is 2.9 megabytes (MB). The size of the high-quality version is 4.1 MB. Yesterday, there were 1360 downloads of the song, for a total download size of 4532 MB. How many downloads of the high-quality version were there?
The number of standard version download and high-quality download is 870 and 490 respectively.
Number of downloads of the high-quality versionlet
Number of high-quality download = yNumber of standard version = xx + y = 1360
2.9x + 4.1y = 4532
From (1)
x = 1360 - y
Substitute x = 1360 - y into (2)
2.9x + 4.1y = 4532
2.9(1360 - y) + 4.1y = 4532
3944 - 2.9y + 4.1y = 4532
- 2.9y + 4.1y = 4532 - 3944
1.2y = 588
y = 588/1.2
y = 490
Substitute y = 490 into (1)
x + y = 1360
x + 490 = 1360
x = 1360 - 490
x = 870
So therefore, number of standard version download and high-quality download is 870 and 490 respectively.
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The length of a rectangle is four less than twice its width. If the perimeter of the rectangle is 76 units, what is its width?
a
13
b
14
c
20
d
26
e
28
There are 5 people from Arizona (A), 7 people from California (C), and 3 people from Nevada (N)
equally qualified for a job. There are three job openings for three different people. What is the probability that not all three people are from Arizona
Answer
.9780
Step-by-step explanation:
Probability, not all 3 people are from Arizona
Arizona Equals 1- 2/91 = 89/91 = .9780
Probability is .9780
Community Gym charges a $60 membership fee and a $65 monthly fee. Workout Gym charges a $190 membership fee and a $55 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount
Answer:
13 months$905Step-by-step explanation:
You want the cost and the number of months of membership such that the cost of both gyms is the same.
Total costThe total cost of x months of membership at each gym will be the sum of its initial fee and the product of the monthly fee and the number of months.
SetupThe cost at Community Gym is ...
c = 60 + 65x
The cost at Workout Gym is ...
w = 190 +55x
These costs will be the same when ...
c = w
60 +65x = 190 +55x
SolutionSubtracting 60+55x from both sides of the equation leaves ...
10x = 130
x = 13 . . . . . . divide by 10
The cost will be the same after 13 months.
That cost will be ...
60 +65(13) = 60 +845 = 905
The amount paid at each gym after 13 months will be $905.
In Smithville, there were 234 teachers in 1990 and 318 teachers in 2000. Find the percent of increase in the number of teachers in Smithville during this time period.
Answer:
35.90%
Step-by-step explanation:
First, subtract the new no with that of 1990
318-234= 84
percentage of increase will be given by;
84/234×100= 35.8974%
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\omega[/tex] is a 2020th root of unity, so [tex]\omega^{2020}=1[/tex] and we have a kind of reflection identity of [tex]\omega^{2020-n} = \omega^{-n}[/tex] for [tex]n\in\Bbb Z[/tex].
Let's evaluate the product first. Denote it by [tex]P_k[/tex]. We split the product where the [tex]j=k[/tex] factor would belong, and pull out powers of [tex]\omega^k[/tex].
[tex]\displaystyle P_k = \prod_{j=1, j\neq k} (\omega^k - \omega^j) \\\\ ~~~~ = \prod_{a=1}^{k-1} (\omega^k - \omega^a) \prod_{b=k+1}^{2019} (\omega^k - \omega^b) \\\\ ~~~~ = (\omega^k)^{k-1} \prod_{a=1}^{k-1} (1-\omega^{a-k}) \cdot (\omega^k)^{2019-k} \prod_{b=k+1}^{2019} (1 - \omega^{b-k}) \\\\ ~~~~ = (\omega^k)^{2018} \prod_{a=1}^{k-1} (1 - \omega^{-a}) \prod_{b=1}^{2019-k} (1 - \omega^b) \\\\ ~~~~ = \omega^{-2k} \prod_{a=1}^{k-1} (1-\omega^{-a}) \prod_{b=1}^{2019-k} (1-\omega^b)[/tex]
Now introduce some factors to "complete" the [tex]b[/tex]-product and have it contain 2019 factors.
[tex]\displaystyle P_k = \omega^{-2k} \prod_{a=1}^{k-1} (1-\omega^{-a}) \frac{\displaystyle \prod_{b=1}^{2019} (1 - \omega^b)}{\displaystyle \prod_{b=2020-k}^{2019} (1 - \omega^b)}[/tex]
It's relatively straightforward to show that if [tex]\zeta[/tex] is an [tex]n[/tex]-th root of unity, then
[tex]\displaystyle \sum_{m=1}^{n-1} (1-\zeta^m) = n[/tex]
which gives
[tex]\displaystyle P_k = 2020 \omega^{-2k} \frac{\displaystyle \prod_{a=1}^{k-1} (1-\omega^{-a})}{\displaystyle \prod_{b=2020-k}^{2019} (1 - \omega^b)}[/tex]
Shifting the index in the denominator and again using the reflection property eliminates all but one factor.
[tex]\displaystyle P_k = 2020 \omega^{-2k} \frac{\displaystyle \prod_{a=1}^{k-1} (1-\omega^{-a})}{\displaystyle \prod_{b=1}^k (1 - \omega^{-b})} \\\\ ~~~~ = \frac{2020 \omega^{-2k}}{1 - \omega^{-k}}[/tex]
Now evaluate the sum. We can exploit symmetry. Split the sum at the 1010th term, so that
[tex]\displaystyle - \sum_{k=1}^{2019} P_k = -2020 \left(\sum_{k=1}^{1009} \frac{\omega^{-2k}}{1 - \omega^{-k}} + \frac{\omega^{-2020}}{1-\omega^{-1010}} + \sum_{k=1011}^{2019} \frac{\omega^{-2k}}{1-\omega^{-k}}\right)[/tex]
The middle terms reduces to 1/2. Shifting the index in the second sum, we can condense it to
[tex]\displaystyle -\sum_{k=1}^{2019} P_k = -2020 \left(\frac12 + \sum_{k=1}^{1009} \left(\frac{\omega^{-2k}}{1-\omega^{-k}} + \frac{\omega^k}{1-\omega^k}\right)\right)[/tex]
Join the fractions.
[tex]\displaystyle \frac{\omega^{-2k}}{1-\omega^{-k}} + \frac{\omega^k}{1-\omega^k} = 1 - \frac{2-\omega^{2k}-\omega^{-2k}}{2-\omega^k-\omega^{-k}} = -(1+\omega^k + \omega^{-k})[/tex]
The remaining sums are trivial.
[tex]-\displaystyle \sum_{k=1}^{2019} P_k = -2020 \left(\frac12 - 1009 - \frac{1-\omega^{1010}}{1-\omega} - \frac{1-(-\omega)^{1010}}{1+\omega}\right) \\\\ ~~~~ = 2020\cdot1009 - 1010 \\\\ ~~~~ = (2000+20)(1000+9) - 1000 - 10 \\\\ ~~~~ = 2\cdot1000^2 + 37\cdot1000 + 170[/tex]
Taking this last result mod 1000, we find the last 3 digits to be 170.
if AC=38 3/4,AB=6x, BC=8x+1/4
what’s the value of x?
Applying the segment addition postulate:
x = 2.75
AB = 6x = 6(2.75) = 16.5 units
BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.
What is the Segment Addition Postulate?Based on the segment addition postulate, since B lies between points A and C on a line segment, then:
AB + BC = AC
AC = 38 3/4
AB = 6x
BC = 8x + 1/4
Substitute
6x + 8x + 1/4 = 38 3/4 [segment addition postulate]
14x + 1/4 = 155/4
14x = 155/4 - 1/4
14x = (155 - 1)/4
14x = 154/4
14x × 4 = 154
56x = 154
x = 154/56
x = 2.75
AB = 6x = 6(2.75) = 16.5 units
BC = 8x + 1/4 = 8(2.75) + 1/4 = 22.25 units.
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Thomas bought 12 glass and plastic cups from
the store. Glass cups cost $3.25 and plastic
cups cost $2.75. Thomas spent a total of
$36.00. How many glass cups (g) and how
many plastic cups (p) did he buy?
g+p=12
3.25g +2.75p = 36
[?] glass cups [] plastic cups
Thomas bought 6 glass cups and 6 plastic cups
How to calculate the number of glass and plastic cups ?
Thomas bought 12 glass and plastic cups from the store
Glass cups costs $3.25
Plastic cups cost $2.75
He spent a total of $36
Let g represent the number of glass cups and p represent the number of plastic cups
g + p= 12.........equation 1
3.25g + 2.75p= 36..........equation 2
From equation 1
g+p= 12
g= 12-p2
Substitute 12-p for g in equation 2
3.25(12-p)+2.75p = 36
39-3.25p+2.75p= 36
39-0.5p= 36
-0.5p= 36-39
-0.5p= -3
p= -3/-0.5
p= 6
Substitute 6 for p in equation 1
g + 6= 12
g= 12-6
g= 6
Hence there are 6 glass cups and 6 plastic cups
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please help soon!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
its 63 you got it right
Step-by-step explanation:
Cary is 9 years older then Dan. In 7 years the sum of their ages will be 93. Find the age of each man now
Cary's and Dan's present ages are 44 and 35 years respectively.
Let the Dan's present age be x years.
According to the given question.
Cary is 9 years older then Dan.
And, after seven years the sum of their ages will be 93.
So, from the given conditon we can say that
cary's age = 9 + x
And after seven years, sum of the ages of Cary and Dan
9 + x + 7 + x + 7 = 93
⇒ 23 + 2x = 93
⇒ 2x = 93 - 23
⇒ 2x = 70
⇒ x = 70/2
⇒ x = 35
⇒ Dan's present age is 35 years.
Therefore, Cary's age = 35 + 9 = 44 years.
Hence, Cary's and Dan's present ages are 44 and 35 years respectively.
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Hi
The following set of four ordered pairs below defines the vertices, in counterclockwise order, of a quadrilateral (four-sided figure).
((-4, 1), (1, 2), (-1,6).(-6,5)}
Step 1 of 3: Find the slopes of the indicated sides of the quadrilateral. Simplify your answer.
Side connecting (-4,1) and (-6,5)
Side connecting (1, 2) and (-1,6)
G
7
a
Suba
The slope of the side connecting (-4,1) and (-6,5) = -2
The slope of the side connecting (1,2) and (-1,6) = -2
The slope of the segment joining two points (x₁, y₁) and (x₂, y₂) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We have to find the slope of the side joining the points (x₁, y₁) = (-4,1) and (x₂, y₂) = (-6,5)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5-1}{-6--4}[/tex]
= 4/ -2
= -2
We have to find the slope of the side joining the points (x₁, y₁) = (1, 2) and (x₂, y₂) = (-1,6)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{6-2}{-1-1}[/tex]
= 4/-2
= -2
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The cost of gas in England is 96.4 pound sterling/liter. How much is this in U.S. dollars/gallon? (3.875 litres = 1 gallon and 1.47 US$= 1 pound sterling)
The cost of gas in England is 96.4 pound sterling/liter is 549.1185 U.S. dollars/gallon
The cost of gas in England is 96.4 pound sterling/liter.
3.875 liters = 1 gallon
1 liter = 1/3.875 gallon
1.47 US$= 1 pound sterling
pound sterling / liter = 1.47/(1/3.875)) U.S. dollars/gallon
= (1.47)(3.875) U.S. dollars/gallon
96.4 pound sterling / liter = (96.4)(1.47)(3.875) U.S. dollars/gallon
= 549.1185 U.S. dollars/gallon
Sterling is the arena's oldest forex that is still in use and that has been in continuous use due to the fact that its inception.
it is presently the fourth maximum-traded currency in the forex market, after the USA dollar, the euro, and the Javanese yen.
collectively with the ones 3 currencies and Renminbi, it paperwork the basket of currencies which calculate the price of IMF unique drawing rights. As of mid-2021, sterling is likewise the fourth most-held reserve forex in international reserves.
these kinds of currencies are government-issued fiat currencies.
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Simplify the expression where possible. 1/(x^4)^-2
According to the solving the simplified value of the equation 1/(x^4)^-2 is
= x⁸.
What are the simplification rules?PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction and is the main rule for simplifying expressions.
Simplification seems to be the process of substituting a mathematical expression with a simpler, usually shorter counterpart.
What is the simplification method?Designers employ simplification to make designs more memorable and instantly recognizable in logos, emblems, posters, computer icons, as well as other design applications.
According to the given data:Given :[tex]\frac{1}{\left(x^4\right)^{-2}}[/tex]
On simplifying we get:
Use (aⁿ)ˣ = aⁿˣ
so we get:
[tex]\frac{1}{X^{(4)(-2)}}[/tex]
=[tex]\frac{1}{x^{-8}}[/tex]
Use a⁻ⁿ = 1/aⁿ
Now:
= [tex]\frac{1}{\frac{1}{x^8}}\\=x^8[/tex]
According to the solving the simplified value of the equation 1/(x^4)^-2 is
= x⁸
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Does 8÷10+7÷100 equal to 0.87
Answer:
Yes
Step-by-step explanation:
8÷10+7÷100=
8/10 + 7/100=
80/100 + 7/100= ==> make the denominators equal to each other
(80+7)/100=
87/100=0.87 √
Answer:
yes it does
Step-by-step explanation:
8÷10=0.8
7÷100=0.07
0.8+0.07=0.87
or the easy way ig
8÷10+7÷100=0.87
Which of the following correctly explains how the Product of Powers and Quotient of Powers Properties helps you to multiply and divide numbers
in scientific notation?
OA) Each number has a factor that is a power of 10. Because the bases are the same, these properties can be applied to multiply or di-
vide the powers of 10.
OB) Because numbers written in scientific notation have exponents, you can use the Laws of Exponents to multiply or divide the
numbers.
OC) The Product of Powers Property and the Quotient of Powers Property can be used to multiply and divide any numbers.
OD) Each number has a factor that is a power of 10. Because the bases are different, these properties can be applied to multiply or di-
vide the powers of 10.
The correct option regarding the operations with scientific notation is given as follows:
B) Because numbers written in scientific notation have exponents, you can use the Laws of Exponents to multiply or divide the numbers.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
An example of a multiplication in scientific notation is:
[tex]2 \times 10^3 \times 3 \times 10^5 = 6 \times 10^{3 + 5} = 6 \times 10^8[/tex]
That is, we multiply the factors, and for the bases of 10, we keep the bases and add the exponents. In a division, we would divide the factors, and for the base of 10, we keep the base and subtract the exponents.
That is, since the numbers have exponents, rules of exponents are used for both multiplication and division, and option b is correct.
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Pentagon FGHJK is similar to pentagon MPQST. K What is the value of x? A 16 cm B Not here C) 12.5 cm 18 cm G S 12 cm M P
Answer:
I think it's a (16cm) ....
Shawn has 2 3/4 cups of berries. He uses 5/8 cups of berries to make a smoothie. He then uses 1/2 cup for a fruit salad.
Part A: How many cups of berries did he use?