Answer:
a) The margin of error for the interval is of 11.35.
b) The 98% confidence interval estimate for the population mean using the Student's t-distribution is between 298.65 and 321.35 millimeters.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
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 = 20 - 1 = 19
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.539
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.539\frac{20}{\sqrt{20}} = 11.35[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Thus, the margin of error for the interval is of 11.35.
The lower end of the interval is the sample mean subtracted by M. So it is 310 - 11.35 = 298.65 millimeters.
The upper end of the interval is the sample mean added to M. So it is 310 + 11.35 = 321.35 millimeters.
The 98% confidence interval estimate for the population mean using the Student's t-distribution is between 298.65 and 321.35 millimeters.
What type of angle measures 40 degrees
?
Answer: An acute angle
Step-by-step explanation: An acute angle is an angle that measures 89 degrees or less (Less than 90 degrees). Another way to define acute angles is any angle that is smaller than a right angle.
How to solve this problem. Please! Urgent
log 3+ loga(a^3)
log 3 + 3log a ( a ) =
log 3 + 3 × 1 =
log 3 + 3 =
0.4771 + 3 =
3.4771
If Tom has 3 apples and Abby takes 4 then how many apples does Tom have left?
Answer:
He has 3 because it didn't say Abby took his..
Is that right?!
Answer:
0 apples
Step-by-step explanation:
3 - 4 = - 1
0 apples
Jessica is getting ready for college she needs to have an
overall grade of 85 in her Math class to qualify for the college that
she wished to attend. Her math grade is based solely on her
scores on 6 exams. On the first 5 exams her scores were 87, 81,
85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
Please help, just want to make sure my answers are right.
Answer:
this can happen in 9 ways possible i did the test and got it correct
Step-by-step explanation:
pyramid = 40
prism = 30
prism = 30
Wprism = 30
What is the volume of this solid?
O A. 39,000
B. 63,000
C. 100,800
D. 27,000
Answer:
A. 39,000.
Step-by-step explanation:
Volume of the lower prism = 30^3= 27,000
Volume of the pyramid = 1/3 area of the base * height
= 1/3 * 900 * 40
= 1200
Volume of the whole solid = 27000 + 12000
= 39,000,
Slove the math step by step
Answer 19
Step-by-step explanation:
x+a+y+a =19
In parallelogram QRST if RT=16 find RU.
R
S
U
Q
T
Answer:
I think it's 8
Step-by-step explanation:
Because it's half of it, you can tell by the image. RT is 16 and RU is 8
Find the area of the polygon.
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Hope this helps !!
Step-by-step explanation:
PLEASE HELP!
Solve for x.
A.108 degrees
B.72 degrees
C.18 degrees
D.17 degrees
Option : D
72°+x ＝90°
x ＝18°
What is the surface area of the square pyramid?
Answer:
You find the area of all the faces of the square pyramid, then add them together to get the surface area.
4x-3y<16, which ordered pair?
Answer:
A. (3, -1)
Step-by-step explanation:
The ordered pair that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are plugged into 4x - 3y < 16
Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair in the options that makes the inequality true. Thus:
Substitute x = 3 and y = -1 into 4x - 3y < 16
4(3) - 3(-1) < 16
12 + 3 < 16
15 < 16 (TRUE)
Write the word sentence as an equation.
A number w divided by 5 equals 6.
Answer:
[tex]\frac{w}{5}=6[/tex]
Step-by-step explanation:
The first part indicates division with the phrase, divided by.
A number w divided by 5 - [tex]\frac{w}{5}[/tex]
Equals '6' would indicate that the value of 'w' and '5' would be '6'.
Equals 6 - [tex]= 6[/tex]
Hope this helps.
Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.
How many hours does Jada need to walk dogs to earn enough money to buy the jacket?
Answer:
Eight Hours.
Step-by-step explanation:
Since she makes 4$ in 1 hour, you divide 32 by 4 to see how many hours it would take her.
32 divided by 4 = 8
Jada needs 8 hours to walk dogs to earn enough money to buy the new jacket which costs $32.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Jada wants to purchase a new jacket that costs $32.
Since she makes 4$ in 1 hour
So, Time is taken to earn money to 4$ = 1 hour
Time is taken to earn money to1$ = 1/4hour
Time is taken to earn money to 32$ = 32/4hour
= 8 hour
Thus, Jada needs 8 hours to walk dogs to earn enough money to buy the jacket.
Learn more about the unitary method;
https://brainly.com/question/23423168
List of 7 consecutive composite numbers less than 100.
Answer:
4
6
8
9
10
12
14
Step-by-step explanation:
any number that is not a prime number
Answer:
2,3,4,5,6,7,8
Make me brainliesttt :))
Alyssa planted 2 rows of onions and 2 rows of turnips in a garden. Alyssa also
planted 2 a row of oak trees. In total, how many rows of vegetables
did Alyssa plant?
Answer:
7[tex]\frac{1}{2}[/tex] rows
Step-by-step explanation:
just count the rows! (if she planted half a row then add it as half)
2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] (you can split it up)
2 + 2 + 2 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]
6 + 1[tex]\frac{1}{2}[/tex] = 7[tex]\frac{1}{2}[/tex]
Tommy ate 512 of pizza, Johnny ate 14 of the pizza, and Mike ate 112 of the same pizza. How much of the pizza did they eat together?
Answer:
126
Step-by-step explanation:
112 plus 14 equals to 126
they ate 126 pizzas all together
What is the correct reason for statement 1
Answer:
Given
Step-by-step explanation:
You are given the information about the angles under the line given.
3x+4=2
Testing out the website thank you
Answer:
x=-6
Step-by-step explanation:
3x+4=2
3x=2-4
x=-2*6
x=-6
Answer:
3x+4=2
Sub 4
3x=-2
Divide 3
-2/3 or -0.67
50 POINT I NEED HELP BAD
Answer:
k = 4
Step-by-step explanation:
7k - 6 = 2k + 14
(7k - 2k) - 6 = (2k - 2k) + 14
5k - 6 = 14
5k (- 6 + 6) = 14 + 6
5k = 20
5k/5 = 20/5
k = 4
Part 3a. NO LINKS. Find the measure of the arc or angle indicated.
9514 1404 393
Answer:
99°
Step-by-step explanation:
Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...
360° -136° -125° = 99° . . . . measure of arc XZ
Answer:
Solution given:
<x=68°
arc XY=125°
arc XZ=?
we have
<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]
<W=180°-68°=112°
Now
arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]
arc YZ=224°
arc XY +arc YZ=224°
125°+arc YZ=224°
arc YZ=224°-125°
arc YZ=99°
the measure of the arc or angle indicated is 99°.
HELP PLEASE I NEED TO PLOT THIS POINT :)
The point would be at (-6,5) I believe. Sorry if this is incorrect.
The area of a rectangle is 77ft, and the length of the rectangle is 3 more than twice the width. Find the dimensions of the rectangle.
Answer:
W = 11/2, L = 14 sq ft
Step-by-step explanation:
Area = 77ft
L = length, W = width
L = 3 + 2W
L * W = 77
Plug W in to find the L
please help me i really need help please
6/7 divide 4
Show your workings
Answer:
6/28 or 0.214
Step-by-step explanation:
6/7÷4=6/7÷4/1
6/7÷4/1=6/7×1/4
6/7×1/4=6/28
Not sure if you're allowed to leave it in a fraction or not, so as a decimal, it's 0.214 to 3 s.f.
Hope this helps :-)
Answer:
3.4285714284
Step-by-step explanation:
6÷7 = 0.8571428571
0.8571428571 × 4 = 3.4285714284
Find the value of x by using the exterior angle theorem.
Answer:
The first choice (12)
Step-by-step explanation:
i'm not 100% what the theory is but here is how I did it:
the angle D and 115% are supplementary which means they add up to 180.
115+x=180
x=65
so now that you know all the angle measures, you also know that all angles of a triangle add up to 180.
65+3x+19+5x=180
combine like terms:
8x+84=180
subtract 84 from both sides:
8x=96
divide by 8 on both sides
x=12
Please help me out here
Answer:
40*
Step-by-step explanation:
the whole line FC would measure 180* so then 180-50 for AGC then AGB is congruent to EGD so 180-50-90---> 130-90---> 40* so angleBGC is 40 degrees
A swimming pool is open for 7 1/2hours during a day. The pool keeps one lifeguard on
duty at a time, and each lifeguard's shift is 2 1/2hours long. How many shifts are there
per day?
7 shifts
5 shifts
3 shifts
4 shifts
Answer:
3 shifts a day
Step-by-step explanation:
7 1/2 hours = 7.5 2 1/2 hours = 2.5
7.5 divided by 2.5 = 3
Answer:
3 shift
Step-by-step explanation:
7 1/2 / 2 1/2
(15/2) / (5/2)
keep, change, flip
(15/2) x (2/5)
30/10 = 3 shifts
PLEASE HELP!!! Find (angle) BAD.
Answer:
125
Step-by-step explanation:
31+24= 55 180-55= 125
Help plsssss:(
20.) Tameka made 20 bracelet to sell at
the craft show. She sold all 20
bracelets for $4 each. She paid
$6.99 for beads and clasps to make
the bracelets. She paid a $10 booth
fee to sell her bracelets at the craft
show. What was Tameka's profit?
F.
$40.99
G.
$80
H.
$70
J.
$63.01