Answer:
Step-by-step explanation:
RHS = (1 +Sec Ф)(1 - Cos Ф)
= 1*1 - 1*Cos Ф + Sec Ф *1 - Sec Ф *Cos Ф
= 1 - Cos Ф + Sec Ф - 1 {Sec Ф = [tex]\frac{1}{Cos \ theta}[/tex] )
=Sec Ф - Cos Ф
= [tex]\frac{1}{Cos \ theta}[/tex] - Cos Ф
[tex]= \frac{1}{Cos \ theta}-\frac{Cos \ theta*Cos \ theta}{Cos \ theta}\\\\= \frac{1-Cos^{2} \ theta}{Cos \ theta}\\\\= \frac{Sin^{2} \ theta}{Cos \ theta}\\\\=\frac{Sin \ theta*Sin \ theta}{Cos \ theta}\\\\= Sin \ theta*\frac{Sin \ theta}{Cos \ theta}[/tex]
= Sin Ф* tan Ф = LHS
A program was created to randomly choose customers at a sporting goods store to receive a discount. The program claims 25% of the receipts will get a discount in the long run. The manager of the sporting goods store is skeptical and believes the program's calculations are incorrect. She selects a random sample and finds that 22% received the discount. The confidence interval is 0.22 ± 0.04 with all conditions for inference met.
Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain. (3 points)
Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.25 probability? Explain. (2 points)
Part C: Another random sample of receipts is taken. This sample is four times the size of the original. Twenty-two percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval? (2 points)
Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain. (3 points)
Answer
3.0/5
33
nickhollandmck
Ambitious
26 answers
1.7K people helped
Answer:
A: We know that the confidence interval is 0.22 ± 0.04, this equals .22 plus .04, .22 minus .44, or (.18,.26). Because of the fact that .25 is in the range of (.18,.26), there is no statistical evidence that the program is not working as intended.
B: As we established earlier, .25 is within the range of (.18,.26). This means that there is statistical evidence that the program makes the discount with a .25 probability.
C: To solve this problem, we need to use the margin of error formula. The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n. From this formula we see that the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%. This means that the new me is equal to .04/2, which equals .02, which means that the new margin of error is .02.
D: We know using the new me that the new CI is .22 ± .02. This also equals .22 plus .02, .22 minus .02, or (.2,.24) Because .25 is not within the range of (.2,.24), there is not statistical evidence that the program is working as intended.
Step-by-step explanation:
Your welcome
TyrantMC
Answer:
Answer
3.0/5
33
nickhollandmck
Ambitious
26 answers
1.7K people helped
Answer:
A: We know that the confidence interval is 0.22 ± 0.04, this equals .22 plus .04, .22 minus .44, or (.18,.26). Because of the fact that .25 is in the range of (.18,.26), there is no statistical evidence that the program is not working as intended.
B: As we established earlier, .25 is within the range of (.18,.26). This means that there is statistical evidence that the program makes the discount with a .25 probability.
C: To solve this problem, we need to use the margin of error formula. The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n. From this formula we see that the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%. This means that the new me is equal to .04/2, which equals .02, which means that the new margin of error is .02.
D: We know using the new me that the new CI is .22 ± .02. This also equals .22 plus .02, .22 minus .02, or (.2,.24) Because .25 is not within the range of (.2,.24), there is not statistical evidence that the program is working as intended.
PLEASE HELPPP
Below is a function. Create an input/output table for the function. Choose 4 different inputs and complete the table.
y=2x-1
Answer:
y x
-1 0
1 1
3 2
5 3
This is a table that follows the above function
Emily puts away basketballs after the gym class. there are 15 basketballs, and each rack holds 4 basketballs. how many racks does Emily completely fill? How many basketballs are left?
Answer:
emily fills 3 racks
3 basketballs are Left!
Step-by-step explanation:
15/4 = 3.3
Will Mark Brainlest Help please!!!
Answer:
hi how are u I am fine by the way I hope that I dont know the answers
What is the range of f(x)?
{xl-2
{x|-2
{yl-5
{yl-5 sy<-1}
Answer:
-5≤y≤-1
Step-by-step explanation:
The range is the values that y takes
The smallest value of y is -5 and the largest value of y is -1
-5≤y≤-1
Evaluate the expression when x=-6.
x² + 5x-2
Answer:
Step-by-step explanation:
Hello!
x² + 5x-2
6² + 5*6 -2 =
36 +30 -2 =
66 -2=
64
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
This is a triangle. side a has a length of 6 yards. side b has a length of 10 yards. side c has a length of 14 yards. The altitude to side c has a length of X yards. what is x
Answer:
3.71 yd
Step-by-step explanation:
Heron's formula:
area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))
so h = 0.5 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c)) / c
a = 6
b = 10
c = 14
a+b+c = 30
-a+b+c = 18
a-b+c = 10
a+b-c = 2
x = h = 0.5×sqrt(30×18×10×2)/14 = sqrt(30×18×10×2)/28 =
= sqrt(10800)/28 = sqrt(400×9×3)/28 =
= 20×3×sqrt(3)/28 = 60×sqrt(3)/28 = 15×sqrt(3)/7 =
= 3.711537 yd
Which of the following values are in the range of the function graphed below? Check all that apply
Answer:
B
-10-10=20
10+10=20
20/20=0
need some help with this
Answer:
y = 2/3x + 1
Step-by-step explanation:
So, the equation they're looking for is slope and intercept right? I have my own way of doing it, but I'll show it to you too!
For slope: I remember rise/run. What this means is the rise which is how much you go up or down becomes the numerator (number on top of fraction) and the run which is how much you go left or right is the denominator (number on the bottom of the fraction.) What you are looking for to find this is the separation between the dots. If you look at the dot on the y, and the dot that is the closest one when you look at the top right, those are the two we are comparing. We chose those because it's easiest, and the answer choices have no negatives for the slope. Now, from the dot on the y, you have to go up 2, and go to the right 3 to get to the next dot. This makes the fraction 2/3. That's all!
(Not 100%) Intercept: For this, I look for where the dot on the y is. As you can see, it's located +1 above (0,0) That's all!
Hopefully this helps you! :)
Can anyone help me with this answer?
Answer: B. 1.5 × 10⁻¹⁸
Step-by-step explanation:
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
When converting scientific notation to an integer:
If the exponent is negative, move the decimal to the left with the same amount of units as the exponents. For example: If converting 5 × 10⁻³, since the exponent is -3, we move the decimal to the left 3 unitsIf the exponent is positive, move the decimal to the right with the same amount of units as the exponentsFor example: If converting 2 × 10⁴, since the exponent is 4, we move the decimal to the right 4 unitsWhen converting an integer to scientific notation:
If the number is ≥1, then count the moves of decimal point until the integer is 0<integer<10. The number of moves will be the exponent that is positive.For example: If converting 300, since there are two moves until it is left with 0<3<10. Thus, the scientific notation will be 3 × 10²If the number is <1, then count the moves of decimal point until the integer is 0<integer<10. The number of moves will be the exponent that is negative.For example: If converting 0.004, since there are three moves until it is left with 0<4<10. Thus, the scientific notation will be 4 × 10⁻³Given:
Mass of one water molecule = 3.0 × 10⁻²³
Total number of molecules (required by the question) = 50,000
Solve:
Formula
Total mass = Mass of one water molecule × Total number of molecules
Substitute the values into the formula
Total mass = 3.0 × 10⁻²³ × 50,000
Convert 50,000 into scientific notation
Total mass = 3.0 × 10⁻²³ × 5 × 10⁴
Multiply numbers together/ Multiply exponents together
Total mass = 15 × 10⁻¹⁹ = 1.5 × 10⁻¹⁸
Hope this helps!! :)
Please let me know if you have any questions
HELP say im getting it wrong
the perimeter of the polygons is ?
instructions find the value of x
Answer:
Given two equal chords. Since the line from the centre is always equal, thus the lines that bisect the two chords are also equal. X=5
determinar el decimal correspondiente
A)71% B)172% C)6%
[tex]71\% = \frac{70}{100} = \frac{7}{10} = 0.7 \\ 172\% = \frac{172}{100} = 1.72 \\ 6\% = \frac{6}{100} = 0.06[/tex]
James wants to tile his floor using tiles in the shape of a trapezoid. To make the pattern a little more interesting he has decided to cut the tiles in half along the median. The top base of each tile is 12 inches in length and the bottom base is 16 inches. How long of a cut will John need to make so that he cuts the tiles along the median? O A. 2 inches B. 4 inches O C. 14 inches O D. 28 inches
Answer:
Choice C. 14 inches
Step-by-step explanation:
Middle between 12 and 16 inches.
I need help to find Y =
Answer:
3
Step-by-step explanation:
i would like if someone helped me with this.
Answer:
the answer is to the question is b
Answer:
(-1.5,9)
Step-by-step explanation:
In second quadrant the x- component is negative where as y- component is positive
help. i can't find the answer anywhere and i hate doing slope
Answer:
put one point at (2, -4) and the other at (0, -1)
you can find the second point using the slope -3/2
If there are 3 people splitting a paycheck of 89 how much would each have to pay
Answer:
Around 29.67 each.
Step-by-step explanation:
The bill is being split amongst 3 people. Therefore, we must divide the total price by 3:
[tex]\frac{89}{3}[/tex]
=29.66666667
=29.67
Answer:
3÷89 it would be 36.55 each has to pay on bills
How do I solve part A
Answer:
The solution of this expression is [tex]x_{1} = -1[/tex] and [tex]x_{2} = -\frac{1}{2}[/tex].
Step-by-step explanation:
The procedure for solution of exercise A is described below:
1) We expand the expression.
2) The resulting expression is rearranged into the form of a second order polynomial.
3) Roots are found by Quadratic Formula.
Step 1:
[tex]2\cdot x \cdot (x+1.5) = -1[/tex]
[tex]2\cdot (x^{2}+1.5\cdot x) = -1[/tex]
[tex]2\cdot x^{2} + 3\cdot x = -1[/tex]
Step 2:
[tex]2\cdot x^{2}+3\cdot x +1 = 0[/tex]
Step 3:
[tex]x_{1, 2} = \frac{-3\pm \sqrt{3^{2}-4\cdot (2)\cdot (1)}}{2\cdot (2)}[/tex]
[tex]x_{1,2} = -\frac{3}{4}\pm \frac{1}{4}[/tex]
[tex]x_{1,2} = \frac{-3\pm 1}{4}[/tex]
The solution of this expression is [tex]x_{1} = -1[/tex] and [tex]x_{2} = -\frac{1}{2}[/tex].
Jon and Kristen are both increasing the number of minutes they jog each day, as shown in the tables.
Jon
Day Minutes
0 15
1 17
2 19
3 21
Kristen
Day Minutes
0 22
1 23
2 24
3 25
Which system of linear equations could be used to determine which day they will jog for the same number of minutes, where d represents the day and m represents the number of minutes?
Answer:
A system of linear equations that could be used to determine which day they will jog the same number of minutes is presented as follows;
m = 2·d + 15
m = d + 22
Step-by-step explanation:
The table of values for the number of minutes Jon and Kristen jog each day is presented as follows;
Jon
[tex]\begin{array}{ccc}Day&&Minutes\\0&&15\\1&&17\\2&&19\\3&&21\end{array}[/tex]
Kristen
[tex]\begin{array}{ccc}Day&&Minutes\\0&&22\\1&&23\\2&&24\\3&&25\end{array}[/tex]
The slope of the data representing Jon's data, m = (21 - 15)/(3 - 0) = 2
Therefore, the equation representing Jon's data is given as follows;
m - 15 = 2·d
m = 2·d + 15
The slope of the data representing Kristen's data, m = (25 - 22)/(3 - 0) = 1
Therefore, the equation representing Kristen's data is given as follows;
m - 22 = d
∴ m = d + 22
The system of linear equations that could be used to determine which day they will jog the same number of minutes is therefore;
m = 2·d + 15
m = d + 22
The answer is in the picture below!
what is the answer to 8= −6+x
Answer:
x = 14
Step-by-step explanation:
add 6 to both sides:
8+6 = 6-6+x
14 = x
x = 14
The perimeter of a rectangular painting is 320 cm. If the length of the painting is 96 cm, what is its length
Answer: Width/length = 64 cm
Step-by-step explanation:
Concept:
Here, we need to know the concept of rectangle perimeter.
A perimeter is either a path that encompasses/surrounds/outlines a shape.
P = 2 (w + l)
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
l = 96 cm
P = 320 cm
Given formula
P = 2 (w + l)
Substitute each value into the formula
320 = 2 (w + 96)
Divide both sides by 2
320 / 2 = 2 (w + 96) / 2
160 = w + 96
Subtract 96 on both sides
160 - 96 = w + 96 - 96
w = 64 cm
Hope this helps!! :)
Please let me know if you have any questions
The figure below is a square. Find the length
rational denominator.
side x in simplest radical form with a
Answer: 2
Submit Answer
Plsssss help
Answer:
x=1/sqrt(2) or sqrt(2)/2
Step-by-step explanation:
Since it's a square, the diagonal is equal to the side*sqrt(2). So 1=x*sqrt(2), x=sqrt(2)/2 or just simply 1/sqrt(2).
If lines AB and CD are paralell, which of the following statements is true? Check All That Apply
Answer:
D and E is the answer..
Step-by-step explanation:
nothing to explain .. D has the symbol of parallel.. and all parallel lines are coplaner
The correct answers are option D and option E that is AB || CD and the lines AB and CD are coplanar.
What are parallel lines?The lines which do not intersect each other at any point they can only intersect at infinity are called parallel lines. All the parallel lines are coplanar to each other.
From the above explanation, the parallel lines are represented as AB || CD and also coplanar to each other.
Therefore the correct answers are option D and option E that is AB || CD and the lines AB and CD are coplanar.
To know more about parallel lines follow
https://brainly.com/question/16742265
#SPJ2
A tank is capable of holding 36,18 and 72 litres of milk . Determine which is the greatest vessel which can be uses to fill each one of them on exact number of times
Answer:
Greatest vessel to fill each in exact number of times is 6 litres
Step-by-step explanation:
To solve this, we will find the greatest common factor of 36,18 and 72
Thus;
Their prime factors are;
18: 2, 3
36: 2, 2, 3, 3,
72: 2, 2, 2, 3, 3
The factors common to all of them are 2 & 3.
Thus;
GCF = 2 × 3 = 6
Write 1= 2x2 + 5x In standard form.
What is the value of b^2 - 4ac?
Answer:
2x^2+5x-1=0
ax^-bx+c=0
b^2-4ac = 5^2-4(2)(-1) =33
What is the area of a rectangle with vertices at (7,3) (12,3) (12,11) (7,11)
Answer:
Area = 5 × 8
= 40 square units
Answer:
40^2
Step by Step Solution:
I counted the difference between the length and the width, which was 5 and 8, then using the formula for area, lw=a^2, I did 5(8)=40^2. Some people leave out the squared part of the area, but 40^2 would be the most correct option if they do not square any of the answers, just put 40 that'll probably be accepted too.
in the triangle below which of the following best describes dh
How many tacos could you buy with your money? On Tuesday you can buy two tacos and you get one free.
If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answer:
due to not much information given and the way you ask the question I would definitely say no
Answer:
Yes you would have enough!
Step-by-step explanation:
Simply multiply .50 by 37 and that gives you 18.5!
Instructions: Solve the triangle, find mA and mZC.
Step-by-step explanation:
mA=cosA=17/38
A=cos inverse of 17/38
A=63 degrees
