Answer:
The margin of error for a 95% confidence interval is of 2.18 hours.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.984
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample(square root of the variance) and n is the size of the sample.
In this question:
[tex]s = 11.5, n = 100[/tex]. So
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 1.984\frac{11}{\sqrt{100}}[/tex]
[tex]M = 2.18[/tex]
The margin of error for a 95% confidence interval is of 2.18 hours.
The diameter of Joseph's bicycle wheel is 20 inches Which is the circumference to the nearest inch?use 3.14 for Π
Answer:
63 inches
Step-by-step explanation:
the diameter is the entire line across the circle, the things needed to find out the circumference of the circle are the radius. that means you would divide your diameter in half to get 10. after you done that, you would input that into the equation:
c=2Π10
that would get you about 62.83 or 63
Water is running into a bathtub at a constant rate. After 2 minutes, the tub is filled with 2.5 gallons of water. Write an equation for this proportional relationship. Use w for the amount of water (gallons) and t for time (minutes).
Answer:
1.25 gallons per minute
Step-by-step explanation:
Two dice are tossed and the magnitude of the difference in the number of dots facing up in the two dice is noted. (a) What is the sample space of the event of tossing of the two dice
Answer:
Sample space S = {0,1,2,3,4,5}
Step-by-step explanation:
We all know that when a dice is tossed, the minimum value that can be obtained is 1 and the maximum value that can be obtained is 6.
Now, when two dice are tossed, the possible cases are:
[tex]= \left\{\begin{array}{cccccc}(1,1)&(1,2)&(1,3) &(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3) &(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3) &(3,4)&(3,5)&(3,6)\\(4,1)&(4,2)&(4,3) &(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3) &(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3) &(6,4)&(6,5)&(6,6)\end{array}\right\}[/tex]
However, the magnitude of the difference in no. of dots showing up in the two dice is:
[tex]= = \left\{\begin{array}{cccccc}(1,1)=0&(1,2)=1&(1,3)=2 &(1,4)=3&(1,5)=4&(1,6)=5\\(2,1)=1&(2,2)=0&(2,3)=1 &(2,4)=2&(2,5)=3&(2,6)=4\\(3,1)=2&(3,2)=1&(3,3)=0 &(3,4)=1&(3,5)=2&(3,6)=3\\(4,1)=3&(4,2)=2&(4,3)=1 &(4,4)=0&(4,5)=1&(4,6)=2\\(5,1)=4&(5,2)=3&(5,3)=2 &(5,4)=1&(5,5)=0&(5,6)=1\\(6,1)=5&(6,2)=4&(6,3)=3 &(6,4)=2&(6,5)=4&(6,6)=0\end{array}\right\}[/tex]
Thus, the sample space Sample space-related when two dice are tossed & the magnitude is:
S = {0,1,2,3,4,5,}
HELP ASAP!!! FAST PLEASE
Answer:
(-4,-1)
Step-by-step explanation:
-3x+10y=2
-3x+3y=9
-3x=2-10y
-3x=9-3y
2-10y=9-3y
2-9=10y-3y
7y=-7
y=-1
-3x+3(-1)=9
-3x-3=9
-3x=12
x=-4
Answer:
X=4, y=-1
Step-by-step explanation:
-3x+10y=2 multiple by 3
-3x+3y=9 multiply by 10
9x+30y=6
30x+30y=90
Subtract equation 1 from 2
30x-9x+30y-30y=90-6
21x+0=84
21x=84
Divide both side by 21
X=4
Substitute 4 for x in equation 1
3x+10y=2
3(4)+10y=2
12+10y=2
10y=2-12
10y=-10
Divide both side by 10
Y=-1
HELP PLS MATH WILL GIVE YOU BRANLYY
Answer: A and E
Step-by-step explanation:
The scatter plot shows the study time and test scores for the students in Mrs. Johnson's English Literature class.
Study Time and Test Scores
100
90
Scores
80
70
60
0
30
60
90
120
Study Time (min)
Which of the following is an appropriate score for a student who studies for 1.5 hours?
a. 78
b. 94
81
d 74
The appropriate score for a student who studies for 1.5 hours according to the scatterplot is 94.
What is the scatterplot?A scatterplot is a graph of two variables that shows the relationship that exists between the two variables. In the given scatterplot, the test scores is on the x-axis while the study time is on the y-axis.
When 1.5 hours (90 minutes) on the x axis is traced to the dot on the y-axis, it can be seen that the score is 94.
To learn more about scatterplots, please check: https://brainly.com/question/25280625
#SPJ2
Answer:
B. 94
Step-by-step explanation:
edge 2023
Simplify the following 2(x - 3) - 4(3x+1)
Answer: -10x - 10
Step-by-step explanation:
1. Distribute --> 2x - 6 - 12x-4
2. Simplify --> -10x - 10
Answer:
-10x - 10
Step-by-step explanation:
which table best classifies the following numbers as rational and irrational?
-4/5, √2, 2.5,0.4,√16
Answer:
√2 is the only irrational number here. Others are rational
Step-by-step explanation:
19.
(01.04 MC)
What is four hundred sixty-three and forty-nine hundredths written in standard form? 463.49
643.49
4,063.49
4,634.90
Answer:
463.49
Step-by-step explanation:
400: four hundred
60: sixty
3: three
.49: forty nine hundredths
400 + 60 + 3 + .49 = 463.49
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
Please help
See the picture
Test
Please i need
Answer:
100.3 units²
Step-by-step explanation:
Area of the figure = area of two semicircles + area of a parallelogram
= 2(½*πr²) + b*h
Where,
Radius (r) = ½ of 8 = 4
Base (b) = 10
Height (h) = 5
Plug in the values
Area of figure = 2(½*π*4²) + 10*5
= 16π + 50
Area = 100.265482
Area of figure = 100.3 units² (nearest tenth)
Some one explain this? Plz
Answer:
your answer is D because the unit rate is 23.50 is what it increases every time
Answer:
D
Step-by-step explanation:
Just multiply 23.50 by each one and you're done!
An assistant receives a 5% raise, bringing the salary to $46,377. What was the salary before the raise?
Answer:
the assistants salary before was $44,6653
need help asap please!!
Answer:
B = 38
Step-by-step explanation:
b=3b-76
-3b -3b
-2b=-76
b=38
A triangle can have at most
right angle.
04
01
OO
2
Write down three integers,all less than 25, whose range is 8, and mean is 11
Answer:
6, 13 and 14
Step-by-step explanation:
How do you find the area of a triangle ?
Answer:
to find the Area of a Triangle, you have to multiply the base times the height of the triangle to find the Area.
Step-by-step explanation:
For example..
If the Base ( bottom part of the triangle) was 10 and the height ( the vertical line of the triangle) was 5, you would multiply them together to get 50. So 5o would be the area of the Triangle.
Hope this helps and have a Great day!Answer:
1/2 x b x h
Step-by-step explanation:
b= base
h= hieght
1. Multiply your base by 1/2
2. Then multiply the sum of that by your hieght
Ex: A trianle with a base of 18 and hieght of 4
1. 1/2 x 18 = 9
2. 9 x 4 = 36
Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?
Group of answer choices
A. j + 26 = 47
B. 26j = 47
C. j - 26 = 47
D. 47j = 26
Answer:
C
Step-by-step explanation:
Please help (hope the pictures crop right)
Answer:
I think it's B (A and C)
Step-by-step explanation:
Like terms are terms with the same
А.
constant.
B
variables and different exponents.
С
variable and exponent.
D
multiple.
Answer:
like terms have the same variables and powers. hope this helps
ADE and ABC are similar which best explains why the slope of the line between points a and D is the same as the slope between points a and B I ready diagnostic
Find the mode of the following number of countries randomly selected travelers visited in the past two years. 13,13,15,7,8,4,4,7,13
Answer:
The mode of the following number of countries randomly selected travelers visited in the past two years is 13.
Step-by-step explanation:
The mode of a data-set is the value that appears the most commonly, the most frequently.
In this data-set:
13 appears 3 times
7 and 4 twice
The others once
So 13 is the mode.
A school principal is buying chairs and desks from a furniture supplier.
• The chairs cost $110 each.
• The desks cost $70 each.
• The principal wants to buy at least 100 pieces of furniture.
• The principal wants to spend no more than $9,400.
Which system of inequalities can be used to determine the possible numbers of
Answer: The answer would be C
Explanation: I am taking the test right now and that answer is the only one that would make sense. I apologize if I am wrong.
Please help
I need 20 characters to submit this Answer that is why the is more words here
Answer:
(2^-14 * 5^10)
Step-by-step explanation:
(2^-7 * 5^5)^2
From.the law of indices :
(a^m)^n = a^mn
Such that we multiply both powers
Hence the equation, W will become :
2^(-7*2) * 5^(5*2) = (2^-14 * 5^10)
Add -3 + (-3) =
Please help me
Answer:
-6
Step-by-step explanation
-3+1(-3)
-3-3
-6
Answer:
-6
Step-by-step explanation:
-3 + (-3) = -6.
Complete the explanation to model a real world situation that could be modeled by the equation 9m×3m=1,728
The ratio of peanuts to raisins in a snack mix is 9 to ____. If there are ____ peanuts and raisins in the mix, how many raisins and how many peanuts are there?
Answer:
.
Step-by-step explanation:
50 points
fast plz help
Answer:
answer below
Step-by-step explanation:
when you double the dimension of a rectangular prism you create a very similar one with a scale factor of 2. the surface area will increase and the scale factor will be (2^2 = 4) and volume will be (2^3=8) for the cubes of the scale
Convert the following linear equation from point-slope form
to slope-intercept form.
y- 3= 1/2(x+ 8)
Answer:
y=1/2x+7
Step-by-step explanation:
y-3= 1/2(x+ 8)
y-3=1/2x+4
+3 . +3
y=1/2x+7
A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of each ingredient would you need to make an identical recipe that serves 18 people? Explain your reasoning.
Which of the following solutions solves the system?
Answer:
i think its
Step-by-step explanation:
D
What's a congruent shape?