Using the t-distribution, as we have the standard deviation for the population, it is found that the confidence interval estimate is (4044.2, 4653.4).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 12 - 1 = 11 df, is t = 2.7181.
As for the other parameters, they are given by:
[tex]\overline{x} = 4348.8, s = 388.2, n = 12[/tex]
Hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 4348.8 - 2.7181\frac{388.2}{\sqrt{12}} = 4044.2[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 4348.8 + 2.7181\frac{388.2}{\sqrt{12}} = 4653.4[/tex]
The confidence interval estimate is (4044.2, 4653.4).
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If anyone doesn’t mind, can someone help with this one
Answer:
x = 20 degrees, angle ABC = 98 degrees
Step-by-step explanation:
The two inner angles sum up to 180 degrees. This is a general rule when you have two parallel lines and another line intersecting through both lines.
So angles ABC and DCB sum up to 180.
4x + 18 + 2x + 42 = 180
6x + 60 = 180
6x = 120
x = 20 degrees
Plugging this back in angle ABC,
4(20) + 18 = 98 degrees
Find the length of the side of a rhombus whose diagonals are 6cm and 8cm.
Answer:
Step-by-step explanation:
Use the rhombus area formula to find it.
A = [tex]\frac{diagonal 1 * diagonal 2}{2}[/tex]
A = (6*8) / 2 = ...
You buy 7 gallons of gasoline at p dollars per gallon and pay $26.88. Write an equation to find the price of one gallon of gasoline. Then find the price of one gallon of gasoline.
Helpp meeee question 2 pleaseee !!
Answer:
C is Cassandra's age, it is being multiplied by 2(Doubling). G is replaced by 9 and you will find the mother's age
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 1.5
Step-by-step explanation:
The half-life of a radioactive kind of antimony is 4 days. How much will be left after 12 days, if you start with 7,600 grams of it?
Answer:
950
Step-by-step explanation:
A=P*(1/2)^(t/h)
Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which statement explains whether Zoe is correct or not
Answer:
Zoe is correct!
Step-by-step explanation:
The definition of an acute triangle is that all three angles are less than 90 degrees. An equilateral triangle has the angles 60, 60, and 60. All three are less than 90 degrees, so this means that an equilateral triangle is always an acute triangle.
However, that doesn't necessarily mean that an acute triangle is always an equilateral triangle.
Find the square root of 144.
A. 72
B. –12
C. 12
D. 1 over 12
Answer:
C
Step-by-step explanation:
12 x 12 is 144.
I hope I helped
Answer:
C
Step-by-step explanation:
Square root is a number multiplied by the same number to get an answer
144/12 is 12 and
12 x 12 = 144
Simplity.
(x² – 2y + 7) (3x – 3)
A. Ty – 177 +55 - 21
B. 73 – 179² +5y-21
C. 77-7y2 +5y-21
D. Ty - 2y +557-21
-
Step byCombine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
What is the total area of the three triangles? 12. 5 square units 13 square units 13. 5 square units 14 square units.
Answer:
53 square units
Step-by-step explanation:
12.5+13+13.5+14
Find the equation of the line.
Use exact numbers
Help me out!
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t.
Which statements are true of the scenario? Select two answers..
Answer:
The equation t = d + 16 represents the scenario
Step-by-step explanation:
The independent variable, the input, is the variable d, representing distance. The distance traveled depends on the amount of time Marlene rides her bike. The initial value of the scenario is 16 miles per hour. so The equation t = d + 16 represents the scenario
Hope it helps!!!brainliest pls!!!
PLEASE HELPP!!!!
Which number is an irrational number?
Answer:
D. [tex]\sqrt[3]{16}[/tex]
Step-by-step explanation:
What is an irrational number?
❖ An irrational number is a number that cannot be written in fraction
form. They're also non-terminating and non-repeating decimals.
Determing Irrational or Rational
A.
The square root of 100 is 10 because 10 × 10 = 100. 10 can be written as a fraction of 10/1, so it's rational.B.
1/8 is already in fraction form, so it's rational.C.
-2.2675 is a terminating decimal, so it's rational.D.
The cube root of 16 is irrational because there is no exact number that multiplies itself 3x to get 16. Additionally, when you put the cube root of 16 in a calculator, you will get a mess of decimal digits, thus forming a non-repeating and non-terminating decimal.what is pi to the 30th digit (decimla place)
Answer:
3.141592653589793238462643383279
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
the 30th decimal of pi is 9
A broken pottery shard found at an archaeological dig has a curved edge. Find the diameter of the original plate. (Use the fact that the diameter of PR is a
perpendicular bisector of chord AB.)
Answer:
The answer to this question is 18 1/ 2 degrees
Step-by-step explanation:
PLEASE HELP I will give brainlest.How would Raquel share the brownies between herself and 2 friends? How much of the brownies will each person get? Use words, pictures, and an equation to explain your thinking.
Answer:
[tex]2\\\\ \frac{2}{4} = 2[/tex]
The [tex]\frac{2}{4}[/tex] simply means divide 2 by 4.
Each person will get 2 brownies.
Given the circle below with tangent \overline{NO} NO and secant \overline{QPO} QPO . If QP=9QP=9 and QO=14QO=14, find the length of \overline{NO} NO . Round to the nearest tenth if necessary. Q
Given that that the lengths of the parts of the secant are, QO = 14 and QP = 9, we have that the tangent, NO = 17.9
How can the length of the tangent be found?
The given parameters are;
Length of side, QP = 9
Length of QO = 14
Required;
The length of;
[tex] \overline{no}[/tex]
From the tangent and secant formula, we have;
[tex] { \overline{no}}^{2} = { \overline{qo}} \times ( { \overline{qp} \: + { \overline{qo}}})[/tex]
Which gives;
NO^2 = 14 × (9 + 14) = 322
NO = √(322) = 17.9
The length of the side NO = 17.9Learn more about the tangent and secant theorem here;
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NEED HELP ASAP!!!!
Determine the solution for x? - 3x - 28 >= 0
A. [-7, 4]
B. [-4, 7]
C. (-infiniti, -4] or [7,infiniti)
D. (infiniti,-7] or [4,infiniti]
Answer:
I believe its c or a
Step-by-step explanation:
just guess those are my suggestions
Classify angle D in the figure as right, straight, acute, or obtuse.
Choose the correct classification for angle D.
A. Right
B. Straight
C.Acute
D.Obtuse
Answer:
C.
Step-by-step explanation:
The angle D. is acute
how would i find the area of this
Answer:
Your answer is 30 sq. yd
Step-by-step explanation:
To find the area of the rectangle:
l x w
6 x 4 = 24
To find area of triangle:
1/2(bh)
to find the base of the triangle you subtract 6 from 9:
9 - 6 = 3
So 1/2 (3 x 4)
1/2 (3 x 4)
1/2 (12)
12 / 2 = 6
Area of whole figure:
You will now add 6 + 24 = 30
I need the answer for this equation
Answer:
10 is the answer
Step-by-step explanation:
Let squares be x, triangles be y and circle be z
Now,
x³ = 27
so, x = 3
Now,
x * y * y * y = 24
or, 3 * y³ = 24
or, y³ = 24/3
so, y³ = 8
so, y = 2
Again,
x * y * z² = 96
or, 3 * 2 * z² = 96
or, 6z² = 96
or, z² = 96/6
so, z² = 16
so, z = 4
Now,
z + x*y = 4 + 3*2 = 4 + 6 = 10
¿Cuál es la suma de los ángulos interiores del polígono mostrado a continuación?
The sum of interior angles of the given polygon is 900 degrees
How to calculate the sum of an interior angle of a polygon?The formula used to calculate the sum of an interior angle of a polygon is expressed as:
Sum of interior angles = ( n − 2 ) × 180 ∘
n is the number of sides
The number of sides of the given polygon is 7, hence;
Sum of interior angles = (7 − 2 ) × 180 ∘
Sum of interior angles = 5 × 180 ∘
Sum of interior angles = 900 degrees
Hence the sum of interior angles of the given polygon is 900 degrees
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What is the value of q/ 6+(12−r), when q = 4 and r = 38?
A 7/ 12
B 14/ 19
C 19/ 24
D 21/ 25
Answer:
The answer to the value of q is 19/24
What is the inverse of the trigonometric function in the graph? y = sinx y = cosx y = arcsinx y = arccosx
The inverse of the trigonometric function given in the graph is;
Option D; y = arc cosx
The graph is missing and so i have attached it.
To get the inverse of the trigonometric function, we need to first know what the trigonometric function is.From the graph, we see that;when x = 0, y = 1
when x = π, y = -1
when x = π/2, y = 0
Now, the equivalent of radian angle π when converted to degrees is; π = 180°
Thus; π/2 rad = 90°
Thus;
when x = 0°, y = 1
when x = 180°, y = -1
when x = 90°, y = 0
Now, let us look at the value of angle 0° for each trigonometric function sin, cos and tan.sin 0 = 0
tan 0 = 0
cos 0 = 1
Let us try angle 90°
sin 90 = 1
cos 90 = 0
tan 90 = ∞
The only trigonometric function that corresponds with the coordinates of the graph is y = cos x.The inverse of cos x is cos⁻¹x or arc cos x.
Read more at; https://brainly.com/question/9196410
Answer:
D
Step-by-step explanation:
The diameter of a circle is 2 centimeters. What is the circle's area?
Answer:
3.14 cm²
Step-by-step explanation:
Given :-
Diameter = 2 cm
To Find :-
Area
Formula Required :-
Area (circle) = πr²
Solving :-
Area = 3.14 x 1 x 1
= 3.14 x 1
= 3.14 cm²
Solution :-
3.14 cm²
Solution:
We know that:
Diameter of circle = 2 cmRadius = Diameter/2Area of circle = πr²Finding the radius.
Radius = Diameter/2=> Radius = 2/2=> Radius = 1 cmFinding the area.
Area of circle = πr²=> Area of circle = 3.14 x 1²=> Area of circle = 3.14 x 1 = 3.14 cm²Which of the following is an input value based on this set of ordered pairs? (3,4), (-5, 7), (8, -1) answers 4 ,-1 ,8 ,7
itss in mathswch so it needs to be right marking brainliest!
Answer:
yea ur rightStep-by-step explanation:
yea ur right yea ur right yea ur right
Question 3 of 10
Solve the formula A = r2 for r.
O A. T = VA
А
B. r =
0
C. r = VA - 7
O
D. r = VAT
SUBMIT
PLZ HELP!!!!!! It’s due by today .. I will make you the brainliest
Answer:
draw a line like this / through zero than draw another line like this \ through zero
Step-by-step explanation:
By rounding to 1 significant figure, estimate the value of 48.7 x 61.2
11.3
Answer : 263
Rounded (1 s.f ) = 300