a) The null and alternative hypothesis are given as follows:
Null: [tex]H_0: p \leq 0.5[/tex]Alternative: [tex]H_1: p > 0.5[/tex]b) The errors are given as follows:
Type I: A sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.Type II: A sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.c) The conclusion of a rejected null hypothesis is: There is enough evidence that most adults would erase their data if they could.
d) The conclusion of a not rejected null hypothesis is: There is not enough evidence that most adults would erase their data if they could.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence that most adults would erase all of their personal data online if they could, that is, if the proportion is not greater than 50%, hence:
[tex]H_0: p \leq 0.5[/tex]
At the alternative hypothesis, it is tested if there is enough evidence that they would erase the information, that is, if the proportion is greater than 50%, hence:
[tex]H_1: p > 0.5[/tex]
A rejected null hypothesis means that the alternative hypothesis is accepted, that is, there is enough evidence that most adults would erase their data if they could.
A not rejected null hypothesis, conversely, means that there is not enough evidence that most adults would erase their data if they could.
What are type I and type II errors?Type I errors are when a true null hypothesis is rejected. Hence, the context of this problem, it would mean a sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.
Type II errors are when a false null hypothesis is not rejected. Hence, the context of this problem, it would mean a sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.
More can be learned about the test of an hypothesis at https://brainly.com/question/13873630
#SPJ1
In an ecology experiment, a number of mosquitoes are placed in a container with water and vegetation. The population of mosquitoes, P, increases and can be modelled by the function:
P9T)=24*4^0.385t, t is greater than or equal to 0
Where t is the time, in days, since the mosquitoes were placed in the container.
(a) find the number of mosquitoes in the container after 5 days
The maximum capacity of the container is 5000 mosquitoes
(b) Find the number of days until the container reaches its maximum capacity.
Using the given exponential function, it is found that:
a) The number of mosquitoes in the container after 5 days is of: 346.
b) The number of days until the container reaches the maximum capacity is of: 10 days.
What is the exponential function?The exponential function that models this problem is presented as follows:
P(t) = 24(4)^(0.385t).
Hence, after five days, the number of mosquitoes is of:
P(5) = 24(4)^(0.385 x 5) = 346 mosquitoes.
The number of days that it takes for the container to reach it's maximum capacity of 5000 is obtained solving the exponential function with logarithms as follows:
[tex]5000 = 24(4)^{0.385t}[/tex]
[tex](4)^{0.385t} = \frac{5000}{24}[/tex]
[tex](4)^{0.385t} = 208.3[/tex]
[tex]\log{(4)^{0.385t}} = \log{208.3}[/tex]
Applying the power property of logarithms, we have that:
[tex]0.385t\log{4} = \log{208.3}[/tex]
[tex]t = \frac{\log{208.3}}{0.385\log{4}}[/tex]
t = 10 days.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
The table shows the outputs, y, for different inputs, x:
Input
(x) 5 6 7 8
Output
(y) 2 5 8 11
Part A: Do the data in this table represent a function? Justify your answer.
Part B: Compare the data in the table with the relation f(x) = 2x + 13. Which relation has a greater value when x = 7?
Part C: Using the relation in Part B, what is the value of x if f(x) = 75?
A. Yes, the data justifies a function because there is no repeating x values.
B. The relation f(x) = 2x + 13 has a greater value at x = 7
C. The value of x when f(x) = 75 is; 31
How to Interpret Function Tables?A) The general formula for equation of a line in slope intercept form is;
y = mx + b
where;
m is slope
b is y-intercept
Slope is;
m = (y₂ - y₁)/(x₂ - x₁)
m = (5 - 2)/(6 - 5)
m = 3
Let us test the first coordinate;
2 = 3(5) + b
2 = 15 + b
2 - 15 = b
-13 = b
so the equation is : y = 3x - 13
B) When x = 7, we have;
y = 3(7) - 13
y = 21 - 13
y = 8
Let us now test for when f(x) = 2x + 13 to get;
f(x) = 2x + 13, when x = 7
f(7) = 2(7) + 13
f(7) = 14 + 13
f(7) = 27
the function has a greater value for f(x) = 2x + 13
C. f(x) = 2x + 13
when f(x) = 75
Thus;
75 = 2x + 13
75 - 13 = 2x
62 = 2x
62/2 = x
31 = x
Read more about Function Table at; https://brainly.com/question/3632175
#SPJ1
what is the answer to
$224.50- $225.00
i already did calculator many different wayss
i will report wrong answers UNLESS you actually tried
Answer:_______________________________________________
-0.5
Answer:
224.50
-225.00
$0.50
- 50 cents
what fraction of the numbers from 1 to 20 contain the digit 7
Please help please and thanks ..
In the given triangle JKL , NO = 26 units and JK = (7x + 17) units, then the value of x is equal to 5 units.
As given in the question,
In the given triangle JKL,
M, N ,O are the mid-points of the side JK, JL, KL of the triangle respectively.
Measure of NO is equal to 26 units
Measure of JK is equal to (7x + 17) units
Using mid- point theorem we have,
In triangle JKL,
NO is half the measure of opposite side JK
NO = 1/2 ( JK)
⇒ 26 = 1/2 ( 7x + 17 )
⇒ 7x + 17 = 26 × 2
⇒ 7x + 17 = 52
⇒ 7x = 52 - 17
⇒ 7x = 35
⇒ x= 5 units
Therefore, for the given triangle JKL , NO = 26 units and JK = (7x + 17) units, then the value of x is equal to 5 units.
Learn more about triangle here
brainly.com/question/2773823
#SPJ1
What is the answer?? 3(b-5)<-2b
Answer:
b < 3
Step-by-step explanation:
3 ( b - 5 ) < - 2b
3 ( b ) - 3 ( 5 ) < - 2b
3b - 15 < - 2b
3b + 2b < 15
5b < 15
b < 15/5
b < 3
how much is 1191 less than 1111
Answer: If you mean how much is 1111 less than 1191, then your answer is
80.
Step-by-step explanation: 1191 - 1111 = 80.
Find the value of x.
70
7x
x=?
Answer:
x=5
Step-by-step explanation:
7x=70/2
7x=35
7x/7=35/7
x=5
Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 6 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
It would take Amanda 2.25 hours to catch up with Ben
Speed is the ratio of distance to time. It is given by:
Speed = distance/time
Given that Ben covers a distance d at time t, hence:
3 = d/t
d = 3t
Since Amanda leaves One and a half hours (1.5) after Ben leaves, hence Time = t - 1.5
5 = d/(t - 1.5)
d = 5t - 7.5
Since they catch up, hence:
3t = 5t - 7.5
2t = 7.5
t = 3.75 hours
Time for Amanda = t - 1.5 = 3.75 - 1.5 = 2.25 hours
Hence it would take Amanda 2.25 hours to catch up with Ben.
what is 4 2/3 - 1 1/3 / 4= because i cant get the right awnser
Step-by-step explanation:
first you have to multiply 4 with 3 and add with 2 and do same as in second .
then do lcm
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 2 2 0 3 -2 4 -4
The equation of the line is will be y = -2x + 4.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Calculate the slope of the line,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -2 - 0) / ( 2 - 1) = -2
The y-intercept will be calculated as,
y = mx + c
0 = -2 x 2 + c
c = 4
The equation of the line will be,
y = mx + c
y = -2x + 4
Therefore, the equation of the line will be y = -2x + 4.
To know more about an equation of the line follow
brainly.com/question/18831322
#SPJ1
Could you please help with this.
Answer:
[tex] \sqrt[2]{15} = 7.5[/tex]
A math class has 3 girls and 7 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys? Write your answer as a fraction in simplest form.
The probability that the selections are both boys is 7/10
How to determine the probability that the selections are both boys?The given parameters in the question are
Seventh grade
Boys = 7
Girls = 3
Eight grade
Boys = 4
Girls = 4
The probability of selecting a boy is calculated as
P(Boy) = Number of boys/Number of students
So, we have
Seventh grade
Boys = 7
Girls = 3
P(boy) = 7/10
Eight grade
Boys = 4
Girls = 4
P(boy) = 4/8
The probability that the selections are both boys is
P = P(boy) * P(boy)
So, we have
P = 7/10 * 4/8
Evaluate
P = 7/20
Hence, the probability is 7/20
Read more about probability at
brainly.com/question/251701
#SPJ1
NO LINKS!! Please help me with this one
Answer:
The letter a in an ellipse equation is:
Half of the major axis if a > b and the ellipse is horizontal, orHalf of the minor axis if b > a and the ellipse is vertical.Step-by-step explanation:
General equation of an ellipse
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]
where:
center = (h, k)Vertices = (h±a, k) and (h, k±b)Foci = (h±c, k) or (h, k±c) where c²=a²−b²If a > b the ellipse is horizontal, a is the major radius, and b is the minor radius.
If b > a the ellipse is vertical, b is the major radius, and a is the minor radius.
The major axis is the longest diameter of an ellipse, so the major radius is one half of the major axis.
The minor axis is the shortest diameter of an ellipse, so the minor radius is one half of the minor axis.
Therefore the letter a in an ellipse equation is:
The major radius (half of the major axis) if a > b and the ellipse is horizontal, orThe minor radius (half of the minor axis) if b > a and the ellipse is vertical.What is Prince William's full name?
Answer:
Depends on the gravitational force. On Earth, one pound equals 4.41N.
Step-by-step explanation:
The formula for Newton's Second Law of Motion is F=ma, which is Force = mass × acceleration.
The SI unit of mass is the kilogram (kg), so we'll have to convert one pound to kilograms. For practical purposes, one pound equals 0.45kg.
The gravitational force of the Earth is 9.8m/s^2. It is worth noting that each planetary body has its own gravitational force in respect to its mass.
Force = mass × acceleration = 0.45kg × 9.8m/s^2 = 4.41N
This number is only applicable on Earth, and may and will change on a planetary body with a mass different from Earth's.
4.
Consider the following amount of energy
used for three different activities:
. 1 minute of walking uses
25 kilojoules of energy
A (4
• 1 minute of jogging uses 84 kilojoules
of energy
1 minute of swimming uses
50 kilojoules of energy
a) How many more kilojoules of energy
would you use in an hour of jogging
than an hour of swimming?
b) To the nearest tenth, how many
minutes of walking would you have to
do to burn up the 1,130 kilojoules in a candy bar
In given word problem ,
a) 2040 more kilojoules of energy would you use in an hour of jogging than an hour of swimming .
b) 45 minutes 2 seconds of walking would you have to do to burn up the 1,130 kilojoules in a candy bar.
What is word problem ?
Our extensive collection of math word problems ranges from addition, subtraction, multiplication, and division to more specialised operations. Mathematical questions that are written as one or more sentences and ask students to use their mathematical understanding to solve problems from "real-life" situations are known as word problems. As a result, for kids to understand the word problem, they need to be familiar with the terminology that goes along with the mathematical symbols that they are already used to.
Here the given ,
=> 1 minute walking = 25 kilojoules
=> 1 minute jogging = 84 kilojoules
=> 1 minute swimming = 50 kilojoules.
a) 1 hour = 60 minutes.
1 hour jogging = 60*84 = 5040 kilojoules.
1 hour swimming = 60*50 = 3000
Then , => 5040-3000=2040 kilojoules.
Therefore 2040 more kilojoules of energy would you use in an hour of jogging than an hour of swimming .
b) x minute of walking = 1130 kilojoules.
=> 25*x=1130
=> x = 1130/25 = 45minutes 2 seconds.
Therefore 45 minutes 2 seconds of walking would you have to
do to burn up the 1,130 kilojoules in a candy bar.
To learn more about word problem refer the below link
https://brainly.com/question/21405634
#SPJ1
find the Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ]
The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ] is ( 5/√2, -5/√2)
The polar cordinates given are (r,θ)=(5,− π/4)
And we need to find the cartesian coordinates
We have,
x=rcosθ, y=rsinθ
x=5cos(− π/4) ,y=5sin(− π/4)
x= 5/√2 ,y=− 5/√2
So, the cartesian form is ( 5/√2, -5/√2)
The Cartesian coordinate of the point where polar coordinates are [5√2, π/4 ] is ( 5/√2, -5/√2)
To learn more about cartesian plane refer here
https://brainly.com/question/4726772
#SPJ9
absolute value -2i help me quick please
The absolute value of the expression given as -2i is 2i
How to determine the absolute value?From the question, we have the following parameters that can be used in our computation:
Expression = -2i
The absolute value of an expression is represented as
Absolute value = |Expression|
Substitute the known values in the above equation, so, we have the following representation
Absolute value = |-2i|
Evaluate the expression
Absolute value = 2i
Hence, the result of the expression is 2i
Read more about absolute value at
https://brainly.com/question/29489431
#SPJ1
Find the measure of the exterior angle.
Answer:
x is 109°
hopefully this will help u
Find the value of each variable. For the circle, the dot represents the center.
The values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.
What is meant by circle?A circle is a shape formed by all points on a plane that are at a fixed distance from the center. It is the curve sketched out by a point moving in a plane such that its distance from a particular point remains constant. The radius is the distance between any point on a circle and the center. The radius must usually be a positive integer. Degenerate case is a circle with r=0. Except when otherwise specified, this article is about circles in Euclidean geometry, and specifically the Euclidean plane.
1) Measure of ∠d
∠d+109°=180°
∠d=71°
2) Measure of ∠c,
∠c+93°=180°
∠c=87°
3) Measure of arc a is,
109°=1/2[97°+arc a]
218°=97°+arc a
arc a=121°
4) Measure of arc b,
87°=1/2[121°+arc b]
174°=121°+arc b
arc b=53°
Therefore, the values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.
To know more about circle, visit:
https://brainly.com/question/11833983
#SPJ1
what is 954 divided by 70 using long division and with a remainder
Answer:
13 Remainder 44
Step-by-step explanation:
The solution after divide is, 13 and remainder = 44
We have to given that;
954 divided by 70 by using long division and with a remainder.
Now, We can divide as,
⇒ 954 divided by 70
70 ) 954 ( 13
-70
----------
254
- 210
----------
44
Therefore, The solution is, 13 and remainder = 44
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ6
Determine the axis of symmetry of the graph of the following parabola. f(x)=3(x−5)2+1 Give your answer in the form x=h.
The axis of symmetry of the parabola, having the equation, f(x) = 3·(x - 5)² + 1 is the line x = h = 5
What is a parabola?A parabola is the locus of a point that moves such that the distance of the point from a fixed point is the same as the distance of the moving point from a fixed line.
The graph of a parabola has the shape of an open umbrella
The given equation for the parabola is; f(x) = 3·(x - 5)² + 1
The equation is given in the vertex form, f(x) = a·(x - h)² + k, where;
(h, k) = The vertex of the parabola
The axis of symmetry of a parabola, which is the line that divides the parabola in two, passes through the vertex of the parabola
Comparing the equation, f(x) = 3·(x - 5)² + 1, to the vertex form of a parabola, gives;
a = 3
(h, k) = (5, 1) (The vertex of the parabola)
Which gives; h = 5
The equation of the axis of symmetry is therefore the line, x = h = 5
Learn more about the graph of a parabola here:
https://brainly.com/question/13689880
#SPJ1
2x - 5 = 6x + 4
I got 2.25x I think? It's wrong though...
Answer:
x = -2.25
Step-by-step explanation:
To solve this we want to put the x alone on one side
Then by subtracting 6x from both sides
2x - 5 - 6x = 6x + 4 - 6x
- 4x - 5 =4
add 5 for both sides
- 4x - 5 + 5 = 4 + 5
- 4x = 9
Divide both sides by - 4
Then x = 9 / -4 = -2.25
So you only forget the negative sign
Glad to Help
Answer: x= - 9/4 or -2.25
Step-by-step explanation:
2x - 5 = 6x + 4(subtract 4 from the right side to move to the left side and subtract 2x from left side to move to right side)
-4 - 5 = 6x - 2x (now subtract these numbers as they have the same components)
-9 = 4x (divide by 4 to get X alone)
-9/4 = x
write the equation of the line perpendicular to y= 3/2x + 1/2 that passes through the point (-2,4)
The equation of the line is y = (-2/3)x + 8/3
What is a perpendicular line?
Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. The perpendicular line can be used to graphically depict the condition of perpendicularity. It can be defined between any pair of lines, any pair of planes, or any pair of lines and planes.
The slope-intercept form of a line is written in the form:
y = mx + b
where:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Here, We have
y= 3/2x + 1/2 that passes through the point (-2,4)
But we do not know the value of b.
We can do this by substituting the point(-2,4), into the equation and we get
y = mx + b
4 = (-2/3)(-2) + b
b = 8/3
Now that you know all your values, rewrite the equation in slope-intercept form:
y = (-2/3)x + 8/3
Hence, the equation of the line is y = (-2/3)x + 8/3
To learn more about the perpendicular line from the given link
https://brainly.com/question/1202004
#SPJ1
The length of a rectangle is 26 meters and the width is 1 meters. Find the area. Give your answer without units.
The area of the rectangle is 26 square meters.
Area of a rectangleFrom the question, we are to determine the area of the described rectangle.
The area of a rectangle can be determined by the formula
A = l × w
Where A is the area of the rectangle
l is the length of the rectangle
and w is the width of the rectangle
From the given information,
l = 26 meters
w = 1 meter
Thus,
Area = 26 × 1
Area = 26 square meters
Hence, 26 square meters is the area of the rectangle.
Learn more on Calculating area of rectangle here: https://brainly.com/question/25292087
#SPJ1
Milan has been given a list of bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible?
The number of possible different votes for Milan, based on the list of bands is 60 different votes.
How to find the number of possible votes?There are 5 lists of bands that Milan has to choose from to place a vote and there are only 3 bands to be chosen out of the 5 lists.
The total number of different votes possible is therefore possible by performing a permutation:
= 5! / ( 5 - 3) !
= 5 ! / 2 !
= (5 x 4 x 3 x 2 x 1) / (2 x 1)
= 60 different votes
Find out more on votes possible at https://brainly.com/question/27324209
#SPJ1
what is 1311 divided by 20=?
using long division and with a remainder
The value of the solution of division is 115 with the remainder 11.
We have to give that,
1311 divided by 20.
Now, using long division as,
1311 divided by 20.
20 ) 2311 ( 115
- 20
------------
31
- 20
------
111
- 100
--------
11
Hence, the solution of division is, 115 with the remainder 11
To learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ6
2. Find the missing digits of the following UPC code:
55X200100102
The missing digits of the following UPC code 55X200100102 is 3.
What is UPC code?Add three to the total of the digits in the first, third, fifth, seventh, ninth, and eleventh positions. The total of the digits in the second, fourth, sixth, eighth, tenth, and twelveth positions should be added to this. The code is legitimate and the computer will accept it if the outcome is a multiple of 10. Add the values of the 1, 3, 5, 7, 9, and 11 odd digits together. Multiply that amount by 3. Add up the values of all the even digits (digits 2, 4, 6, 8 and 10). To the value from step 2, add this total. Take the figure in Step 4. Thus, 3 is the check digit.
To know more about UPC code ,visit:
brainly.com/question/12538564
#SPJ1
Use technology to obtain approximate solutions graphically. All solutions should be accurate to one decimal place. (Zoom in for improved accuracy.)
Find the intersection of the line through (0, 1) and (4.3, 2) and the line through (2.1, 3) and (5.4, 0).
(x, y) =
Answer:
(x, y) ≈ (3.4, 1.8)
Step-by-step explanation:
You want the point of intersection of the lines through (0, 1), (4.3, 2) and (2.1, 3), (5.4, 0).
GraphThe first attachment shows a graph of the lines and the coordinates of the point of intersection. The solution is ...
(x, y) ≈ (3.42, 1.8)
(x, y) = (3.4, 1.8) . . . . accurate to 1 decimal place
__
Additional comment
For each pair of points, the equation of the line can be written as ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
(2 -1)(x -0) -(4.3 -0)(y -1) = 0 ⇒ x -4.3y +4.3 = 0
and
(0 -3)(x -2.1) -(5.4 -2.1)(y -3) = 0 ⇒ -3x -3.3y +16.2 = 0
The calculator result in the second attachment shows the exact solution to be ...
(x, y) = (3 229/540, 1 43/54) ≈ (3.42407, 1.79630)
NUMBER SENSE Your Spanish club wants to order 29 hooded sweatshirts that cost $31 each. Explain how you can use
the polynomial identity (a + b)(a - b) = a²-b² and mental math to find the total cost of the hooded sweatshirts.
The total cost of the hooded sweatshirts will be 29 × 31 = $899.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
As per the given,
Number of hooded sweatshirts = 29
Cost of one hooded sweatshirt = $31
Total cost = 29 × 31 = $899.
Hence "The total cost of the hooded sweatshirts will be 29 × 31 = $899".
For more information about multiplication,
brainly.com/question/14059007
#SPJ1