In a statistics activity, students are asked to determine if there is a difference in the proportion of times that a spinning penny will land with tails up, and the proportion of times a spinning dime will land tails up. The students are instructed to spin the penny and the dime 30 times and record the number of times they land tails up. For one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times.
Based on the 98% confidence interval, (–0.36, 0.22), is there evidence of a difference in proportions of tails side up for a penny and a dime?
There is convincing evidence because the two sample proportions are different.
There is not convincing evidence because the interval contains 0.
There is not convincing evidence because the interval contains both negative and positive values for the true difference.
Answer: B) There is not convincing evidence because the interval contains 0.
==============================================================
Explanation:
The 98% confidence interval (-0.36, 0.22) means we are 98% confident that the difference of proportions p1-p2 is somewhere between those two endpoints of -0.36 and 0.22 Values in this interval are possible values of p1-p2.
Note how 0 is in this interval. So it's possible that p1 - p2 = 0. Because of this, we fail to reject the null hypothesis. The null in this case is that p1 - p2 = 0 which can be restated as p1 = p2. The null is the assumption that the two population proportions (p1 and p2) are the same.
The alternative hypothesis is that p1-p2 is not zero. If we got a confidence interval like (0.22, 0.55), this example doesn't have 0 in the interval, then that would mean we reject the null since its unlikely that p1-p2 is equal to zero.
----------------
In short,
If the confidence interval contains 0, then you fail to reject the nullIf the confidence interval doesn't contain 0, then you reject the null.In this case, we fail to reject the null and we don't have enough evidence to show that p1 = p2 is false. So for now, we assume it's true.
Which equation matches the hanger diagram?
pls help !!!
Option D is correct, 2x=5 is the equation which matches the hanger diagram.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find the equation which matches the hanger diagram.
Hanger models are a visual representation of an equation
For the hanger to remain balanced, each side has to have the same weight. Like a seesaw, a scale, or a barbell.
In the left side of hanger there 2 x's and on right side there are fives ones.
So 2x=5 is the equation which satisfies the given hanger diagram.
Hence, Option D is correct, 2x=5 is the equation which matches the hanger diagram.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Find the missing side length of this right triangle
PLEASE HELP ME! I WILL MARK YOU AS BRAINLIEST!
write an equation to represent this function. use function notation.
Answer:
[tex]L(x) = 360 - 15 w[/tex]
Step-by-step explanation:
See comment for complete question
Given
[tex]Amount = \$360[/tex]
[tex]Rate = \$15[/tex] weekly
Required
Determine the function to represent the scenario
The amount (L) owed in w weeks is represented as:
[tex]Amount\ Owed = Amount - Rate * Weeks[/tex]
We used negative because the amount reduces weekly.
So, we have:
[tex]L(w) = 360 - 15 * w[/tex]
[tex]L(x) = 360 - 15 w[/tex]
2. The Biology club budgeted $200 for their pancake breakfast. Each meal costs $1.50 to prepare. Write an inequality that represents the number of meals that can be prepared without going over budget. What is the maximum number of meals that the biology club can prepare for $200?
Answer:
$1.00
Step-by-step explanation:
Travelling 900 km by rail costs of Rs 280. What would be the fare for a journey of 360 km when a person travels by the same class?
Answer:
Image attached
Step-by-step explanation:
Hope it helps!!!!
2) Find the area. *
7 points
12 cm
2 cm
4 cm
6 cm
24
O 12
36
48
Answer:
36cm
first we extend one of the half lines.
now we have 2 rectangles with sides
6cm and 4cm and 2cm and 6cmusing area of rect formula we find the area of both the rects separately and then add them
The flooring cost is $52 per square meter. It is only sold in whole numbers of square meters. How much will it cost Tina to buy flooring for her study?
Answer:
it depends on how big her study is-
but ig it could be 5= 260 dollars
Step-by-step explanation:
The function f(x) = x2 - 6x + 9 is shifted 5 units to the right to create g(x).
What is g(x)?
A. g(x) = (x + 5)2 - 6(x + 5) +9
B. g(x) = (x2 - 6x + 9) + 5
C. g(x) = (x2 - 6x + 9) - 5
D. g(x) = (x - 5)2 - 6(x - 5) + 9
Answer:
D. g(x)=(x-5)^2 -6(x-5)+9
Step-by-step explanation:
math
The volume of a sphere is 267.95 Feet cubicto the nearest foot what is the radius of the sphere feet cubic
Answer:
Step-by-step explanation:
[tex]V=\frac{4\pi r^3}{3}\\ \\ r^3=\frac{3V}{4\pi}\\ \\ r=\sqrt[3]{\frac{3V}{4\pi}}\\ \\ r\approx 4ft[/tex]
Describe the graph of the inequality on a number line: x ≥ 11
Answer:
Here is how it should look
Step-by-step explanation:
I need help
56 < 7( 7 - x)
Answer: x<-1
Step-by-step explanation: because anything less than -1 will give you more than 56
PLEASE HELP ITS DUE AT MIDNIGHT
Step-by-step explanation:
[tex]\frac{9.00 - 7.50}{7.50} \times 100\% = 20\% \: increase[/tex][tex] \frac{6.50 - 5.00}{5.00} \times 100\% = 30\% \: increase[/tex][tex] \frac{4.50 - 2.00}{2.00} \times 100\% = 125\% \: increase[/tex][tex] \frac{2.00 - 2.50}{2.50} \times 100\% = - 20\%[/tex]In order to get the increase or decrease, we need to get the difference of the two prices first. Then, pick a "reference year".
From the calculations, notice how I made the earlier years as my reference points. If the calculations produced positive results, therefore, it has increased. If it produced a negative results, from the reference year's price, it has decreased in price.
Jo has an appointment at 3pm. She has to travel 21 miles and will drive at an average speed of 30 mph. To arrive exactly on time, what time should she leave? Give your answer as a time on the 24-hour clock
Write the equation for the line that passes through (2, -4) and is
perpendicular to the line to x - 4y = 7.
Answer: y= x-2
Step-by-step explanation:
Perpendicularity entails the slope of line a is -1 divided by the slope of line b
m1= (-1/m2)
From y=Mx +c
We compare with x-4y=7
y=(1/4)x-7/4
Meaning m2= 1/4
m1= -1/(1/4)= -1*4= -4
((y-y1)/(x-x1))= ((y2-y1)/(x2-x1))=m1
x1= 2, y1= -4
((y-(-4))/(x-2))= -4
((y+4)/(x-2))= -4
Cross multiply
y+4= -4(x-2)
y= x-2
Ivy has borrowed 150 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:
A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 210 at increments of 30. A straight line joins the ordered pairs 0, 150 and 1, 120 and 2, 90 and 3, 60 and 4, 30 and 5, 0.
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)
Answer:
30
Step-by-step explanation:
Answer:
Step-by-step explanation:
Eva has borrowed 150 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:
A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 280 at increments of 40. A straight line joins the ordered pairs 0, 200 and 1, 160 and 2, 120 and 3, 80 and 4, 40 and 5, 0.
Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)
Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)
What is third of 1 2/3
Answer:
5/9
Step-by-step explanation:
1/3 * 1 2/3
1/3 * 5/3
5/9
Pattern A : 1,3,5,7 .
Pattern B : 1 ,9,25,49
Determine the general formula for the nth term of pattern A .
Hense determine the general formula for pattern B
Step-by-step explanation:
for A
[tex]an = a1 + (n - 1)d \\ d = a2 - a1 \\ d = 3 - 1 = 2 \\ an = 1 + (n - 1) \times 2[/tex]
for B
[tex]an = a1 + (n - 1)d \\ d = a2 - a1 \\ d = 9 - 1 = 8 \\ an = 1 + (n - 1) \times 8[/tex]
Need help on this question please answer ASAP I have never learned about it...
a. y= 5
b. x=2
c. x= -?
I'm stuck on the last one but I'll tell you how to do it.
For a. I looked at line one and you see that it's on 5? well that is written as y= 5 because there is not x coordinate.
(please people add to this explanation/ answer this question better)
Sameen works at an office. During her lunch break, she rides her bicycle to her favorite sandwich shop and eats lunch at a
local park. The graph below shows the distance she is from work over time.
Sameen's Lunch Break
1.5
1.2
0.9
Distance from Work (miles)
0.6
0.3
24
30
6 12 18
Number of Minutes
Select the statement that is true regarding Sameen's lunch break based on the graph.
A Between 0 minutes and 6 minutes, Sameen's distance from work is constant.
B
Between 6 minutes and 9 minutes, Sameen's distance from work is decreasing.
С
Between 9 minutes and 27 minutes, Sameen's distance from work is 0 miles.
D
Between 27 minutes and 30 minutes, Sameen's distance from work is increasing.
Answer:
d?...........................
work out the size of angle x
Answer: x
Step-by-step explanation:
x
Answer:
The opposite angle of 85=85
The angle facing it is 82 (180_98)
X=(180-[82+85])=180-167
Answer =13 degrees
Find the missing side of the right
triangle.
7
4
Х
X=
<= [?]
The missing side of the right angle triangle is 8.0622577483 units.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
Triangle is a right angle triangle.
And the sides of a right-angled triangle are:
Base = 4 unit
Perpendicular = 7 units.
To find the length of the hypotenuse:
We apply Pythagoras theorem,
(hypotenuse)² = (base)² + (perpendicular)²
Substituting the values in the equation,
(hypotenuse)² = (4)² + (7)²
(x)² = 16 + 49
(x) = √(65)
(x) = 8.0622577483
Therefore, the value of x is 8.0622577483 units.
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
#SPJ2
Last one -Angles not necessarily drawn to scale
Answer:
Step-by-step explanation:
Adjacent angles must sum to 180 degrees.
x+32=180
x=148 degrees
Answer:
x= 148
Step-by-step explanation:
line CD is a straight angle which means it is 180 degree
to find x you must subtract the known angle from the straight angle
your equation should look like this
180-32=148
The value of Maggie's car decreased by 25% since last year, when she bought it. If the car is now worth $11,000.00, how much was the car worth when she bought it?
Answer: Do 1.25(19,000.00) and you get 23,750
Step-by-step explanation:
The circle shown has a radius of 4 cm.
Not drawn
to scale
What is the length of the diameter of the circle?
cm
Answer:
8 cm
Step-by-step explanation: diamater is half the radius
please help, will be greatful
Answer:
2,4 and 0,2 is an equation for L
Answer:
(0,1) , (2,4) , (-2,-2)
Step-by-step explanation:
this is the equation of L
A rectangular garden has length and width as given by the expressions below. Length: 4 - 7 (3x + 4y) Width: 3x(-2y) Write a simplified expression for the perimeter of the rectangle.
Answer:
⇒ 8 − ⇒ 42x − ⇒ 56y − ⇒ 12xy
Step-by-step explanation:
Im smart
Answer:
8 − 42x − 56y − 12xy
Step-by-step explanation:
Yes.
1. Name a pair of similar parallelograms. Explain. (You don’t have to)
2. Name another pair of parallelograms. Explain (optional)
3. Are parallelograms A and C similar? Why or why not?
plz i need this by today or my math teacher will send a email to my parents saying i have a missing assignment and my parents are really strict (like when i say strict i mean strict strict)
Answer:
1) D and F, their side lengths are proportional and same degree corners
2) E and F
3) yes, their side lengths are proportional and same degree corners
Step-by-step explanation:
bu soruyu yapana 15 puan
Answer:
?????????????
Step-by-step explanation:
please help me ASAP explain for brainlist.
Answer:
option d
Step-by-step explanation:
This is because Sample Space is collectio of all the outcomes and in this question ( 1,2,3,4,5,6,7,8) is sample space
while 5 is the the outcome , so Outcome shown is 5
Hope the above solution will help you