Answer:361
Step-by-step explanation:
The sample size in this scenario is defined by the total number of letters received by the member of Congress, regardless of their stance on the bill. Therefore, the sample size is 361.
Explanation:In statistics, the term 'sample size' refers to the number of observations or measurements used in a study or experiment. In this particular case, the member of Congress is interested in the views of her constituents on a proposed gun-control bill. The total number of letters received - regardless of whether those letters support or oppose the bill - forms the sample size.
In this context, the total number of letters is 361, so option C is the correct answer. It doesn't matter how many of these letters were in favor or against the bill; all of them constitute the sample. The number of letters opposing the bill (323) is a part of the total sample, not the sample size itself.
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The Roosevelts and the Jaspers live in the same city and pay the same sales
tax rate, and both families made $16,000 in taxable purchases last year, if the
Roosevelts made $91.000 and the Jaspers made 37000 last year, is the
sales tax in their city an example of a regressive tax?
Answer:
Yes, because the Jaspers paid a higher percentage of their income in sales tax than the Roosevelts did.
Step-by-step explanation:
Regressive tax is a constant, instead of a percentage of income. Those with a lower income would pay a higher percentage of their income. Both families, irregardless of income, paid $16,000 in taxes.
APEX
Answer:
Yes, because the Jaspers paid a higher percentage of their income in sales tax than the Roosevelts did.
Step-by-step explanation:
A regressive tax is one that collects a smaller percentage of the income as the person earns more. That is to say that at higher profit or higher income, the percentage of taxes that must be paid on the total tax base is lower.
In this way the poor are relatively more affected than the rich.
The Roosevelts made $91.000 (high income)
The Jaspers made $37.000 (low income)
But both paid the same sales tax rate of $16,000.
This type of tax does not have a redistribution effect of wealth. On the contrary, if it is a very high tax, it can accentuate inequality in a society.
Ed decides to include more fruit in his diet he go to the grocery store over the weekend and buy six apples six oranges and six avocados the total cost is $19.50 write an equation
A=apple o=orange a=avocado
6A+6o+6a=19.50
Happy To Help! :D
Answer:
x + y + z = 3.25
Step-by-step explanation:
We are given that Ed buys six apples, six oranges and six avocados and their total cost is $19.50.
We are to write an equation representing this.
Assuming apples to be x, oranges to be y and avocados to be z, we can write it as:
[tex] 6 x + 6 y + 6 z = 1 9 . 5 0 [/tex]
Simplifying it by taking the common out to get:
[tex]x+y+z=3.25[/tex]
Please answer.
The table represents the function f(x) = 2x+1
Which value goes in the empty cell?
A)3
B)5
C)8
D)23
Replace the x in the equation with the x value in tha table for the missing f(x) and calculate:
f(x) = 2x +1 = 2(2) +1 = 4 +1 = 5
The answer is B) 5
The table represents the function f(x) = 2x +1. The value goes in the empty cell is 5. The answer is B) 5.
What is a function?A function is a type of relation, or rule, that maps one input to specific single output.
The table represents the function
f(x) = 2x +1
Replace the x in the equation with the x value in the table for the missing f(x)
F( 2) = 2(2) +1
F( 2) = 4 +1
F( 2) = 5
The answer is B) 5
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If a data set has 20 data values, the number of values in the upper quartile is ?
Answer:
the answer is 5.5
explanation:
just did the test
Answer: The uper quatile Q3=15.75
Step-by-step explanation:
Q3=3/4(N+1)
Q3=3/4(20+1)
Q3=3/4(21)
Q3=63/4
Q3=15.75
Sal wants to build a robot. He puts a sphere on top of a cylinder.what will probably happen?
Answer:
It depends on which side of the cylinder. If she puts it on the curved side, it will roll off. If she puts it on the flat side and stabalizes it, it will stay in place if no further force is acted on it.
What is the midpoint between (-2, -3) and (1, 0.5)
Answer:
(-1/2,-1.25)
Step-by-step explanation:
Once you plot the points, you should be able to find the midpoint formula.
The midpoint between the points (-2, -3) and (1, 0.5) is (-0.5, -1.25).
To find the midpoint between two points, you average the x-values and the y-values of the given points separately. The formula for the midpoint M between two points P1(x1, y1) and P2(x2, y2) is
M = ((x1 + x2) / 2, (y1 + y2) / 2)
Applying this to the given points (-2, -3) and (1, 0.5), we calculate the midpoint as follows:
Average the x-values:
(-2 + 1) / 2 = -0.5
Average the y-values:
(-3 + 0.5) / 2 = -1.25
Which equation is graphed here?
Answer:
The third one or the first one
Step-by-step explanation:
Can't be +4 or -4
Answer:
The equation of the line on the graph is y - 4 = -3(x+1)
an outcome or set of outcomes of an experiment or situation
Answer: Probability theory would be my best guess, but I would need more information to be able to fully answer this question.
Step-by-step explanation:
The two right scalene triangles shown are similar , but not congruent. Which statement about the triangles is not true
Answer:
Third choice.
The right correspondence is [tex]\angle CDB \cong \angle ECD[/tex]
Step-by-step explanation:
The third choice is not true, that is
[tex]\angle CDB[/tex] NOT corresponds to [tex]\angle ECD[/tex]
If [tex]\triangle CBD \sim \triangle CDE[/tex], then corresponding sides are proportional, and corresponding angles are congruent. The corresponding angle of [tex]\angle CDB[/tex] is
[tex]\angle CDB \cong \angle ECD[/tex]
Therefore, the third option shows a wrong correspondence, that's the right choice in this case, because it doesn't express a valid correspondence.
Please help I will mark brainliest!!! (10 points)
Answer:
A: 700
B: 6400
C: 50
Step-by-step explanation:
A: You can multiply by 5
B: You can just multiply by 20.
C: Every 10% is 5, because 15(30%)/3 is 5. 5 times 10 is 50.
Answer:
a. h = 700
b. j = 6400
c. g = 50
Step-by-step explanation:
Translate each statement into an equation and solve the equation. Remember that to change a percent to a decimal, you divide the percent by 100, which is the same as moving the decimal point two places to the left. Also, a percent of a number means a percent times the number.
a. 20% of h is 140
20% * h = 140
0.2h = 140
Divide both sides by 0.2
h = 700
b. 5% of j is 320
5% * j = 320
0.05j = 320
Divide both sides by 0.05
j = 6400
c. 30% of g is 15
30% * g = 15
0.3g = 15
Divide both sides by 0.3
g = 50
Find area of a cone
Show work
Answer: 138.16 in²
Step-by-step explanation:
You need to use this formula to calculate the surface area of the cone:
[tex]SA = \pi r^2 + \pi rl[/tex]
Where "r" is the radius, "h" is the height and "l" is the slant height.
To find the height you need to use the Pythagorean Theorem:
[tex]a^2=b^2+c^2[/tex]
Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.
In this case:
[tex]a=l=7in\\\\b=r=\frac{8in}{2}=4in\\\\c=h[/tex]
("r" is the radius and "h" is the height and "l" is the slant height.)
You need to find "h". Then, solving for "h", you get:
[tex]h=\sqrt{(7in)^2-(4in)^2}\\h=5.74in[/tex]
Then, substituting values into the formula, you get:
[tex]SA = (3.14)(4in)^2 + (3.14) (4in)(7in)=138.16in^2[/tex]
Sam worked 26 hours so far this week. He normally works a 40 hour week What fraction and percent represents the portion of hours he has worked? Simplify the fraction
Answer:
13/20, 65%
Step-by-step explanation:
So he has worked 26 hours out of 40 so that becomes 26/40 that is equal to 13/20 so that is your fraction and to convert to a percentage times 100 go that equals 65 so 65%
What is the value of tan B?
6/8
8/10
8/6
6/10
Answer:
8/6Step-by-step explanation:
[tex]tangent=\dfrac{opposite}{adjacent}\\\\\text{We have}\\\\opposite=8cm\\adjacent=6cm\\\\\text{substitute:}\\\\\tan B=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}[/tex]
25. Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale.
please answer ASAP if you have the answers for the whole exam I'll take them to please
A.48cm^2
B.40cm^2
C.32cm^2
D.44cm^2
Answer:
Option D. [tex]44\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}[b1+b2]h[/tex]
we have
[tex]b1=8\ cm[/tex]
[tex]b2=(4+8+2)=14\ cm[/tex]
[tex]h=4\ cm[/tex]
substitute the values
[tex]A=\frac{1}{2}[8+14](4)=44\ cm^{2}[/tex]
Answer:
D. 44cm^2
Step-by-step explanation:
A rectangular block measures 3 cm x 4 cm x 3 cm how much water would it displace?
Answer:
36c^3m^3x^2
Step-by-step explanation:
you first multiply 3 cm by 4 cm by 3 cm to get 36 cm.its mass in air and its effective mass when submerged in water (density = 1 gram per cubic centimeter).1.0 g/cm3then you get the answer 36c^3m^3x^2Write and solve a quadratic equation for the situation below. Choose the answer that has both an equation that correctly models the situation as well as the correct solution for the situation. An isosceles right triangle has sides that are x + 2 units long and a hypotenuse that is 8 units long. What is the length of the missing sides of the triangle?
Answer:
2(x^2 + 4x - 28) = 0.
The length of the missing sides are:
4√2 units.
or 5.66 units ( to the nearest hundredth).
Step-by-step explanation:
Applying the Pythagoras Theorem:
8^2 = (x + 2)^2 + (x + 2)^2
2(x^2 + 4x + 4) = 64
2x^2 + 8x + 8 - 64 = 0
2x^2 + 8x - 56 = 0
2(x^2 + 4x - 28) = 0 models the situation.
Solving:
x = [- 4 +/- √(4^2-4*1*-28)] / 2
= (-4 +/- √128) / 2
= (-4 + 8√2) / 2 , (-4 - 8√2) / 2 (we ignore this negative root).
= -2 + 4√2.
This is 3.66 to the nearest hundredth.
So the length of the 2 equal sides is 2 + (- 2 + 4√2) = 4√2.
or 5.66 to the nearest hundredth.
will mark brainliest!!
Solve the system of equations. x2 = y + x + 8
y = -x + 2
A) ( radical 10 , 2 - radical 10 ) and ( radical 10 , 2 + radical 10 )
B) ( radical 10 , 2 - radical 10 ) and (- radical 10 , 2 - radical 10 )
C) ( radical 10 , 2 - radical 10 ) and (- radical 10 , 2 + radical 10 )
D) ( radical 10 , -2 - radical 10 ) and (- radical 10 , 2 + radical 10 )
Answer:
the answer is A) ( radical 10 , 2 - radical 10 ) and ( radical 10 , 2 + radical 10 )
Step-by-step explanation:
Please answer right away
Answer:
$29000 with a margin of error of $5000
Step-by-step explanation:
We have that the midpoint between the given values is
(X1+X2) / 2 = ($34000+$24000)/2 = $29000
We have that the midpoint between the given values would be
(X2-X1)/2=($34000-$24000)/2=$10000/2=$5000
So I can write that approach as $29000 with a margin of error of $5000
Done
A circle has a radius of 5ft and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measures of the central angle q?
Answer:
[tex]\frac{q}{360}[/tex] × π10 = 7
Explanation:
The formula to find arc length is [tex]\frac{x}{360}[/tex] × [tex]\pi r^{2}[/tex]
Simply plug in radius and arc length to get your equation.
Answer:
Central angle = 80.21°
Step-by-step explanation:
The arc length in circle is the product of radius and central angle made by the arc in radians.
That is
l = rθ
Here given the values r = 5 ft and l = 7 ft
Substituting
7 = 5 x θ
θ = 1.4 radians
[tex]\theta =1.4\times \frac{180}{\pi }=80.21^0[/tex]
Central angle = 80.21°
A dilation produces a smaller figure. Which is a possible scale factor?
A dilation producing a smaller figure requires a scale factor less than 1. If the scale factor is 1/2, the model size is half the actual size. By setting up and solving a proportion, actual dimensions can be calculated.
Explanation:When a dilation results in a smaller figure, the scale factor used is less than 1. Think of the scale factor as a fraction where the actual size is the denominator and the model size is the numerator. For instance, a scale factor of 1/2 would mean that the model is half the size of the actual figure.
For a practical example: if we have a scale factor of 1:4 and the scale measurement is 4, the actual dimension can be found by setting up a proportion as 1/4=4/x, solving for x would give us the actual dimension, which in this case would be 16.
solve for X
x + 53 = 231
Answer:
x=178
Step-by-step explanation:
Since 53 is being added to x, you will subtract 53 from both sides. 231-53 equals 178, therefore x=178
Find the missing exponent. Explain 5^11/5^?=5^4
Answer:
The missing exponent is 5^7
Step-by-step explanation:
5^11/5^?=5^4
1. Subtract the exponents from each other.
11-4=7
2. Plug 7 in as the exponent.
5^11/5^7
3. 11-7=4 therefore, 5^11/5^7 equals 5^4.
Answer:
? = 7Step-by-step explanation:
[tex]\text{We know:}\ \dfrac{a^n}{a^m}=a^{n-m}.\\\\\dfrac{5^{11}}{5^{?}}=5^4\\\\5^{11-?}=5^4\to?=7\ \text{because}\ 11-7=4[/tex]
what is the midpoint of (-7,5)(7,3)
Answer:
(1,4)
Step-by-step explanation:
Answer:
The correct answer is (0,4)
Step-by-step explanation:
Having trouble to find the answer help plssssss
Answer:
it is 20
Step-by-step explanation:
5 * 20 = 100
100 - 10 = 90 which equals a angle in a right angle triangle
Answer:
The value of x is 11 ⇒ answer B
Step-by-step explanation:
* lets check the properties of the square
- Its four aides are equal
- Its four angles are equal and the measure of each one is 90°
- Its diagonals bisect its vertices
∵ BD is a diagonal of the square
∴ BD bisects angle B
∴ m∠ABD = m∠CBD
∵ B is a vertex of the square
∴ m∠B = 90°
∴ m∠ABD = m∠CBD = 90 ÷ 2 = 45°
∵ m∠ABD = (5x - 10)°
∴ (5x - 10)° = 45° ⇒ add 10 to each side
∴ 5x = 55 ⇒ divide both sides by 5
∴ x = 11
* The value of x is 11
Jon drove 365 on 20 gallons of gas. How many miles did he get per gallon?
Answer:
18.25
Step-by-step explanation:
365 ÷ 20 = 18.25
Jon drove 365 miles on 20 gallons of gas, so to find out how many miles he got per gallon, you divide 365 miles by 20 gallons. The result is 18.25 miles per gallon.
Explanation:To solve this problem, you need to divide the total number of miles that Jon drove by the number of gallons of gas he used. This is because the miles per gallon is calculated by dividing the total miles driven by the amount of gas used.
So, in this case, you would do the following calculation: 365 miles ÷ 20 gallons = 18.25 miles per gallon
This means that Jon got 18.25 miles per gallon of gas.
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Kim's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 17 to 6 points. In the last 4 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points.
Write an inequality to determine the number of points per inning, ppp, Kim's team could have scored.
Answer:
The required inequality is [tex]6+4p>17[/tex].
Step-by-step explanation:
Let p represent the number of runs per inning.
It is given that the team scores the same number of runs per inning and the other team did not score any more points. So, the total score of other team after last four inning is 17.
Kim's team total score in last four inning is 4p. So, the total score of Kim's team after last four inning is
[tex]6+4p[/tex]
Kim's team win if the total score of other team after last four inning is less than the Kim's team.
[tex]6+4p>17[/tex]
Therefore the required inequality is [tex]6+4p>17[/tex].
Answer:
6+4p>17
Step-by-step explanation:
3 per inning
what is the range of the function on the graph
Answer:
All real numbers greater than or equal to -2.
Step-by-step explanation:
The range is the set of values of the y-coordinates of the points on the graph.
The smallest y-coordinate is -2. All real numbers greater than equal to -2 are the range.
Answer: All real numbers greater than or equal to -2.
A squirrel runs across a road in 3 seconds. The road was more than 34 feet wide. Which inequality can be used to determine the squirrel’s speed?
3r is greater than 34
3r is less than 34
r/3 is greater than 34
r/3 is less than 34
What is the solution to the inequality? Round to the nearest tenth, if necessary.
r less than 11.3
r greater than 11.3
r less than 102
r greater than 102
How can you interpret the solution?
The squirrel can run at least 11.3
The squirrel can run faster than 11.3
The squirrel can run no faster than 102
The squirrel can run slower than 102
Answer:
Step-by-step explanation:
squirrel speed (r) x seconds (3) has to be more than 34 feet
3r is greater than 34
r is greater than 11.3
34 / 3 = 11.333
11.3 (squirrels speed) x 3 (seconds) = 33.9 feet
the squirrel can run faster than 11.3
Answer:
A). Option A
B). Option B
C). Option B
Step-by-step explanation:
A). A squirrel runs across a road in 3 seconds.
Width of the road is more than 34 feet.
We have to calculate the squirrel speed.
Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
= [tex]\frac{34}{3}[/tex]
Since distance is more that 34 so the speed will be more than [tex]\frac{34}{3}[/tex]
This is because Speed ∝ Distance.
Let r is the speed of squirrel.
r > [tex]\frac{34}{3}[/tex]
3r > 34
Option A is the correct option.
B). Inequality is 3r > 34
r > [tex]\frac{34}{3}[/tex]
r > 11.3
Option B is the answer.
C). The squirrel can run at faster than 11.3 feet per second.
Option B.
What the equation of the quadratic function in standard form represented by the graph
Answer:
x^2 +6x +8
Step-by-step explanation:
The zeros of the graphed function appear to be (-4, 0) and (-2, 0). It appears the vertex is (-3, -1).
The standard form of the function with zeros p and q is ...
(x -p)(x -q) = x^2 -(p+q)x +pq
So, for zeros p=-4, q=-2, the standard form is ...
x^2 -(-4-2)x +(-4)(-2) = x^2 +6x +8
We can check to make sure the above vertex point satisfies this function:
(-3)^2 +6(-3) +8 = 9 -18 +8 = -1
The vertex satisfies the function we wrote, so there are no additional vertical scale factors required.
The function is ...
y = x^2 +6x +8
36+4x=x^2+15
What is x?
X = -3 or X = 7
Step 1: Simplify both sides of the equation.
Step 2: Subtract x^2+15 from both sides.
Step 3: Factor left side of equation.
Step 4: Set factors equal to 0.
Answer:
x=7 or x=-3
Step-by-step explanation:
36+4x=x^2+15
36-15+4x=x^2
21+4x=x^2
0=x^2-4x-21
0=x^2-(7-3)x-21
0= x^2-7x+3x-21
0= x(x-7)+3(x-7)
0= (x-7)(x+3)
so either
x-7=0
x=7
or x+3=0
x=-3