Answer:
4/5
Step-by-step explanation:
hope it helped :)
A randomly selected sample of 1,000 college students was asked whether they had ever used the drug Ecstasy. Sixteen percent (16% or 0.16) of the 1,000 students surveyed said they had. Which one of the following statements about the number, 0.16, is correct?
A) It is a sample statistic.
B) It is a population parameter.
C) It is a sample parameter.
D) It is a population statistic.
0.16 will be the Sample Proportion / Parameter.
Given info,
A randomly selected sample of 1,000 college students was asked whether they had ever used the drug Ecstasy. Sixteen percent (16% or 0.16) of the 1,000 students surveyed said they had.
To know which one of the following statements about the number, 0.16 is correct,
This value, 16% = 0.16 would be the sample proportion,
[tex]\hat p[/tex], since it originated from the sample.
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A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Progressive
Range ($)
Tax Rate
0 - 3000
2%
3001 - 5000
3%
5001 - 17,000
5%
17,001 and up
5.75%
Calculate the state income tax owed on an $80,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
$80,000 is subject to a $4433 state income tax.
Define tax.Taxes are sums of money that citizens are required to pay in accordance with their income, the value of their property, and other factors. These sums of money are used to fund the government's activities. A taxpayer is a natural person, business, or other entity that must pay taxes. The government may provide identity or reference numbers to individuals or businesses as modern taxpayers. One who pays taxes is often referred to as a "taxpayer".
Given,
The sum of the taxes owed in each bracket is the total amount owed in taxes.
2%×$3000 +3%×(8000 -3000) +5%×(17000 -5000) +5.75%×(80000 -17000)
= 60 +150 +600 +3622.5
= $4432.50
≈ $4433
$80,000 is subject to a $4433 state income tax.
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Which of Polygons B, C, D, E, and F are similar to Polygon A? Select all that apply. Recall
that similar means same shape and different sizes. The figures do not need to be
oriented the same way.
Answer: A, D, F
The guy above me is wrong.
Amber coaches soccer and volleyball. She coaches both sports for a total of 10 hours each day. The soccer practice lasts 1 hour more than twice as long as the volleyball practice.
a). Write a system of equations to model the situation. Use v for the number of hours Amber coaches volleyball in a day and s for the number of hours she coaches soccer.
b). How many hours each day does Amber spend coaching each sport?
Answer:
Step-by-step explanation:
Amber coaches both sports for 7 hours each day
v = volleyball hours
s = soccerball hours
7 hours in total, in which soccerball is 1 hour more than volleyball:
v + s = 7
s = v + 1
plug in v + 1 for s
v + s = 7
v + (v + 1) = 7
simplify
v + v + 1 = 7
2v + 1 = 7
2v + 1 (-1) = 7 (-1)
2v = 6
2v/2 = 6/2
v = 6/2
v = 3
Plug in 3 for v for one of the equations.
s = v + 1
s = (3) + 1
s = 4
Amber coaches 3 hours for volleyball, and 4 hours for soccer, making a total of 7 hours becuase 4+3 equals 7
hope this help :DDDDD
In exponential growth and decay problems, what is the independent variable? The independent variable is almost always: a. f = function c. t = time b. e = exponent d. A = amount in the model Please select the best answer from the choices provided A B C D
For the exponential growth and the problems based on decay the independent variable is always time .
As given in the question,
Function based on exponential growth and decay problems is represented by :
f(t) = A[tex]e^{kt[/tex]
Function (f) is the dependent variable which depends on time t.
A is the amount for the given model which may vary according to the time.
e is the exponential function which is constant as per the value of time.
t is the time which is not depends on any of the factors given . Time is considered as independent variable.
Therefore, for the exponential growth and the problems based on decay the independent variable is always time.
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Jon works on a cruise ship and sleeps in a cabin that is 6 feet below sea level the main deck is 35 feet above jon's cabin. How far above sea level is the mian deck?
Answer:
29 feet
Step-by-step explanation:
35 - 6 = 29
The main desk is
29 feet above sea level
Marques is a high school basketball player. In a particular game, he made some three point shots and some free throws (worth one point each). Marques made a total of 8 shots altogether and scored a total of 12 points. Determine the number of three point shots Marques made and the number of free throws he made.
The number of 3point shot made by Marques is 2 and the number of free throws he made is 6
What are Simultaneous equations?Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution.
If the number of 3points made is x and the number of free throw is y, then
x+y= 8 equation 1
the total points made will be
3x+y= 12 equation 2
subtracting equation 1 from 2
2x = 4
x= 4/2= 2
substitute 2 for x in equation 1
2+y= 8
y= 8-2= 6
therefore the number of 3points shot and free throw made are 2 and 6 respectively.
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How to solve number 2
The congruent figures are rectangles that are ABCD is congruent to JKLM.
Given that,
In the picture we have a graph,
We have to find the congruent figures.
In terms of geometry, congruent means having the same dimensions and form. Figures, angles, and line segments can all be used to demonstrate congruence. If two angles have the same measure, they are said to be congruent. When the corresponding sides and angles of two triangles are equal, two triangles are said to be congruent.
The congruent figures are rectangles that are ABCD is congruent to JKLM.
Therefore, The congruent figures are rectangles that are ABCD is congruent to JKLM.
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A telephone cat a hadow 12 ft long when the un ray trike the ground at an angle of 78
The height of telephone pole is 56.44 ft.
Given,
length of shadow =12 ft
angle of at which sunray strikes the ground =78°
Le the height of telephone pole be 'x'
From figure,
We can use trigonometric ratios to find the height of pole,
[tex]tan\theta=\frac{opposite\ side}{adjacent\ side}\\\\tan78 \textdegree=\frac{x}{12}\\\\4.704=\frac{x}{12}\\\\h=4.704*12\\\\h=56.448[/tex]
Thus, the telephone pole is 56.448 ft high.
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Your question is incomplete, please complete the question.
if the displacment (x) of a body at a certain time (t) is given from the relation
x= At +B [tex]\sqrt{2t\\}[/tex]
so the dimensions of A and B are = ...............
The dimensions of A and B are
[tex]A= LT^{-1}[/tex]
[tex]B = LT^{-1/2}[/tex]
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be x
x = At + B√2t
where x is the displacement
t is the time taken
So , the dimension of x will be L
And , the dimension of t will be T
Now ,
The equation is x = At + B√2t
So , the first term At should have dimension of L
And , the second term B√2t should have dimension of L
Therefore , the equation will be
So , The dimension of A will be
[tex]A= LT^{-1}[/tex]
And the dimension of B will be
[tex]B = LT^{-1/2}[/tex]
Hence , The dimensions of A and B are
[tex]A= LT^{-1}[/tex]
[tex]B = LT^{-1/2}[/tex]
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Melitta found out that if he walk really fat during her morning exercie, he can cover 2 1/4 mile in 3/4 of an hour. How fat i he walking in mile per hour?
The speed of Melitta in miles per hour is 3 mph .
In the question ,
it is given that
the distance covered by Melitta for morning exercise in 3/4 of an hour = [tex]2\frac{1}{4}[/tex] mile =
we need to convert the mixed fraction to normal fraction ,
So , [tex]2\frac{1}{4}[/tex] = (2*4 + 1)/4 = (8 + 1)/4 = 9/4 mile
we know that the speed [tex]=[/tex] distance / time
So , Speed of Melitta = (distance covered) / (time taken )
Speed = (9/4)/(3/4)
= 9/4 × 4/3
= 3 miles per hour .
Therefore , The speed of Melitta in miles per hour is 3 mph .
The given question is incomplete , the complete question is
Melitta found out that if she walk really fast during her morning exercise, she can cover [tex]2\frac{1}{4}[/tex] mile in 3/4 of an hour. How fast is she walking in mile per hour ?
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I NEED HELP!!
A city receives 1 inches of snowfall every 4 hours. Write and graph a function that describes the relationship. How long does it take to receive 1 foot of snow? Use x for the independent variable and y for the dependent variable.
how do you say kevin skip counts by multiples of 2 starting with 124. what will be true about all of the numbers in his pattern?
Answer:
Some things that will be true are, that the pattern will go 124,126,128,ect
Another thing is that 124 is an even number
Step-by-step explanation:
Find the area of each!
Pls explain how do I do this
Answer: 5.4 inches
Step-by-step explanation:
The area of a triangle is the base x height/2.
The red is telling you the triangle is 2.7 inches tall, and the black is telling you that the base is 4 inches.
That means the answer is 4 * 2.7/2 = 5.4
Find the gradient of the line that passes through the
coordinates (2, 10) & (5, 22)
write the equation of the parabola that has its x-intercepts at (-1.6, 0) and (-3.2, 0) and its y-intercept at (0, 25.6)
The equation of the parabola that has its x-intercepts at (-1.6, 0) and (-3.2, 0) and its y-intercept at (0, 25.6) is 5x² + 8x - 25.6
How to write the equation of the parabola with the x intercepts at (-1.6, 0) and (-3.2, 0)The x intercept refers to the value of x when y = 0 this otherwise known as the roots of the polynomial equation.
The intercept form of parabolic equation is
y = a(x - p)(x - q)
where
p and q are roots
a = constant
writing the equation at (-1.6, 0), (-3.2, 0)
y = a( x + 1.6 ) ( x + 3.2 )
passing through point (0, 25.6)
25.6 = a( 0 + 1.6 ) ( 0 + 3.2 )
25.6 = 5.12a
a = 5
substituting into the equating gives
y = a(x - p)(x - q)
y = 5( x + 1.6 ) ( x + 3.2 )
expanding the equation gives
= 5(x² + 3.2x - 1.6x - 5.12)
= 5(x² + 1.6x - 5.12)
= 5x² + 8x - 25.6
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the fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviation 2. (a) what is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3? (round your answer to four decimal places.)
The probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3 is 0.16%.
The normal distribution is a type of probability function that describes how a variable's values are distributed. Since the majority of the observations cluster around the curve's middle peak, it is symmetric. In both directions, the probability for values of the distribution that are far from the mean.
Given that the fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviation 2.
We have to determine what is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3?
We that μ = 14.1 σ = 2 n = 100 δ = 2/√100 = 0.2
This probability is 1 subtracted by the p-value of Z when X = 14.3. So
Z = (x-μ)/σ
By the Central Limit Theorem
Z = (x-μ)/δ
Z = (14.3 – 14.1)/0.2
Z = 0.2/0.2
Z = 1
Z =1 has a p-value is 0.8413
= 1 - 0.8413 = 0.1587
Therefore 0.16% is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3.
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what is please im stuck on this question y=−3x+21?
Find the set values taken by 1/ 9x^2 +12x +7 for real values of x. (The whole quadratic equation goes under 1/)
The function f(x) = 1/9x² + 12x + 7 has zeros or solution as x = -0.61
Roots of Quadratic FunctionRoots of quadratic equation is the values of variables satisfying the given quadratic equation are called its roots. In other words, x = α is a root of the quadratic equation f(x), if f(α) = 0. The real roots of an equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersect the x-axis.
The roots of the quadratic function or zeros of the function is the actual solution of the quadratic function.
In the given function f(x) = 1/9x² + 12x + 7 has roots of -0.608≅ -0.61
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interval notation for -11m <= -55
The interval for the inequality is (5, ∞].
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
-11m <= -55
Now, solving the inequality
-11m ≤ -55
Divide both side by 11
-11m/ 11 ≤ -55/ 11
-m ≤ -5
m≥ 5
Hence, the interval for the inequality is (5, ∞]
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4d +5≥ 13 or 7d-2 <12
Answer:
4d + 5 ≥ 13
Step-by-step explanation:
1. 4d + 5 ≥ 13
-5 -5
4d ≥ 8
4d/4 = d
8/4 = 2
d=2
4x2+5 =13
13≥13
2. 7d - 2 < 12
+2 +2
7d < 14
7d/7= d
14/7 = 2
d=2
7x2-2 = 12
12<12
Solve the inequality |x + 9| − 9 < 2 and graph the solutions. Then write the solutions as a compound inequality.
The solution for the inequality is:
-20 < x < 2
And the graph of the solution set can be seen below.
How to solve the inequality?
Here we have the inequality:
|x + 9| - 9 < 2
If we add 9 in both sides, we will get:
|x + 9| < 2 + 9
|x + 9| < 11
Now we can decompose the absolute value in a compound inequality:
-11 < x + 9 < 11
Now we can subtract 9 in the whole inequality to get:
-11 - 9 < x < 11 - 9
-20 < x < 2
The graph of this inequality is the one you can see below.
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3) An object has a mass of m=2kg and is moving in uniform circular motion at a radius of r=3.1m.
The object has a tangential velocity of v= 10 m/s.
a. what is the objects centripetal acceleration?
b.what is the object's centripetal force?
Answer:
a = 32.3 m/s^2
F = 64.6 N
Step-by-step explanation:
a = v^2 / r
a = 10^2 / 3.1
a = 32.3 m/s^2
F = ma
F = 2 * 32.3
F = 64.6 N
please help you guys
Answer:
B
Step-by-step explanation:
A C D are functions but B is not a function
A park ranger, on top of a 200-‐foot tower, spots a wolf at an angle of depression of 14°. How far is the wolf from the base of the tower?
802.2 ft
224.9 ft
965.3 ft
541.2 ft
If a park ranger, on top of a 200-‐foot tower, spots a wolf at an angle of depression of 14°. The distance of the wolf from the base of the tower is: A. 802.2 ft.
How to find the distance?Making use of Tan to solve for x
Let x represent the distance between the tower and the wolf
Hence,
Tan 14° =200/x
Cross multiply
x = 200/Tan 14°
x = 200 / 0.2493
x = 802.2 ft
Therefore the correct option is A.
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Using the equation, complete the table.
y = 3x² 12x +6
vertex (2,-6)
x y
1
3
0
4
(possible answers to the table are: 1,-3,4,6,2)
The complete table using the given function y = 3x²- 12x + 6 is below
x y
1 -3
3 -3
0 6
4 6
How to complete the tableThe table is competed by using the function and solving for y at different times
The function given to complete the table is
y = 3x²- 12x + 6
substituting the different values of x gives y values
at x = 1
y = 3(1)²- 12 * 1 + 6 = -3
at x = 3
y = 3(3)²- 12 * 3 + 6 = -3
at x = 0
y = 3(0)²- 12 * 0 + 6 = 6
at x = 4
y = 3(4)²- 12 * 4 + 6 = 6
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please hurry
what is angle E
The measure of angle E is 121 degrees
The length of the side AB = The length of the side DE
The length of the side BC = The length of the side EF
The length of the side AC = The length of the side DF
The three sides of the triangle ABC is equal to the three sides of the triangle DEF.
Therefore the triangle ABC and triangle DEF is congruent
Therefore,
Angle B = Angle E
96 + y = 6y - 29
6y -y = 96 + 29
5y = 125
y = 125 / 5
y = 25
Angle E = 6y - 29
= 6×25 - 29
= 150 - 29
= 121 degrees
Hence, the measure of angle E is 121 degrees
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The function y = 12x + 320 can be used to find Mia's weekly earnings when she works x overtime hours. Mia cannot work more than 5
hours of overtime in a week. What is the range of this situation?
Answer: R=(320,380)
Step-by-step explanation:
if mia cannot work more than 5 hours overtime a week
then x<5
or x=5 (maximum)
so the domain is (0,5)
and the range will be y when x is (0,5)
so the range is(320,380)
How do you write y = 2 - 3x in standard form
Answer: 3x + y = 2
Step-by-step explanation: Take the 3x and put it in the beginning then write 2 + y = 2. It's because we first must put the number that has an x on it then put the letter y, so 3x + y = 2.
Answer:
y=2-3x in standard form is y =3x+2
Step-by-step explanation:
because we moved the 2 to the other side and when 2 crosses a negative sign it becomes minus and when minus 3x crosses a negative sign it becomes plus becos minus times minus is plus.
A line has a slope of -4 and includes the points (-9, -9) and (r, -5). What is the value of r?
what is the value of r?
If a line has a slope of -4 and includes the points (-9, -9) and (r, -5), the value of r is 10.5
A line has a slope of -4 and includes the points (-9, -9) and (r, -5)
Slope of a line passing through two points can be calculated by
m =(y₁ - y₂)/(x₁ - x₂)
The point (-9, -9) be (x₁, y₁ )and (r, -5) be (x₂, y₂)
We need to calculate the value if r
-4 = (-9 - (-5 ))/(-9 - r)
-4 = -4/(-9 - r)
-4 (-9 - r) = -4
38 + 4r = -4
4r = -42
r = 10.5
If a line has a slope of -4 and includes the points (-9, -9) and (r, -5), the value of r is 10.5
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