Answer:
3/4
Step-by-step explanation:
Explanation:
List out the total number of outcomes = {1,2,3,4,5,6,7,8,9,10,11,12}
We have 12 items in this list.
From this list, highlight the outcomes that are less than 9. So we will have this smaller list of {1,2,3,4,5,6,7,8} which has 8 items in it.
There are 8 ways to get what we want (a number less than 9) out of 12 outcomes total
The probability is therefore 8/12 = 2/3
Instructions: Use the given information to answer the questions and interpret key features. Use any method of graphing or solving. * Round to one decimal place, if necessary.*
The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x)=−.25x2+4.3x, where x is the number of feet away from the golf club (along the ground) the ball is.
1) The ball starts (blank/answer) feet above the ground.
2)The ball reaches a maximum height of (Blank/answer) feet at a horizontal distance of (blank/answer) feet away from the golf club it was hit with.
3)The ball returns to the ground at about (blank/answer) feet away.
Answer:
1.) Zero ( 0 )
2.) 55.47 feet , 8.6 feet
3.) 17.2 feet
Step-by-step explanation:
The height, in feet, of the ball is given by the equation h(x)=−.25x2+4.3x, where x is the number of feet away from the golf club (along the ground) the ball is.
1.) Since the equation has no intercept,
The ball will start zero feet above the ground.
2.) The distance of the ball at the maximum height will be achieved by using the formula
X = -b/2a
Where b = 4.3, a = -0.25
Substitutes both into the formula
X = -4.3 / 2( - 0.25 )
X = - 4.3 / - 0.5
X = 8.6 feet
Substitute X into the function to get the maximum height
h(x) = −.25(8.6)^2 + 4.3(8.6)
h(x) = 18.49 + 36.98
h(x) = 55.47 feet
3) As the ball returns to the ground, the height will be equal to zero, therefore,
0 = -0.25x^2 + 4.3x
0.25x^2 = 4.3x
X = 4.3/0.25
X = 17.2 feet
The ball returns to the ground at about 17.2 feet away
There are 25 students in Mr. Jones’ art class. Mr. Jones is planning a project where each student needs 0.3 jar of paint. Exactly how much paint does Mr. Jones need for the art project?
Answer:
7.5 jars
Step-by-step explanation:
There are 25 students in the art class.
Mr Jones is planning that for the project, each of the 25 students will need 0.3 jar of paint.
The amount of paint Mr Jones needs for this project is therefore the product of the number of students in the class by the amount of paint each student needs.
That is:
25 * 0.3 = 7.5 jars of paint
Mr Jones needs 7.5 jars of paint for the art project.
Irving cannot remember the correct order of the five digits in his ID number. He does remember that the ID number contains the digits 1, 4, 3, 7, 6. What is the probability that the first three digits of Irving's ID number will all be odd numbers?
Answer: 1/10
Step-by-step explanation:
given:
numbers contained in the i.d
1,4,3,7,6
1. permutations of 5 possible outcome
T = 5
= 5 * 4 * 3 * 2 *1
= 120 times.
2. permutations of 3 odd numbers
( 1,3 and 7 )
T = 3
= 3 * 2 * 1 * 2 * 1
= 12
probability of of first three digits being odd numbers
P = 12 / 120
= 1 / 10
Answer: The probability is 0.10
Step-by-step explanation:
The ID number has five digits, and the digits can be 1, 4, 3, 7 and 6, and I will assume that each digit appears only once.
Then if we want to calculate the probability that the first 3 digits will be odd is:
Suppose that we have 5 slots, we want that in the first two slots to have odd numbers.
In our set, we have only 3 odd numbers {1, 3 and 7}
Then if we want an odd number in the first digit, we have 3 options
If we want an odd number in the second digit, we have two options (because we already selected one in the first selection)
If we want an odd number in the first digit, we have only one option.
For the fourth digit we have one of the two remaining even options, so we have 2 options.
For the fifth digit, we have only one digit.
The number of combinations is equal to the product of the number of options in each selection:
c = 3*2*1*2*1 = 12
Now, the total number of combinations is:
For the first digit we have 5 options
for the second digit we have 4 options.
for the third digit we have 3 options.
for the fourth digit we have 2 options.
for the fifth digit we have 1 options.
The number of combinations is:
C = 5*4*3*2*1 = 120.
Then the probability that the first 3 digits are odd numbers, is equal to the quotient between number of combination that start with 3 odd digits and the total number of combinations:
P = c/C = 12/120 = 0.10
Angle EFB is 108º a)Find the size of angle x. b) which one of these justifies your answer? A-corresponding angles B- Alternate angles C- vertically opposite angles
Answer:
a) x° = 108°
b) vertically opposite angles (C) justifies my answer.
Answer:
The answer is option c.
Its an vertically opposite angle because when two lines intersect eachother then theangles formed opposite to it is called v.o.a (vertically opposite angle)
Hope it helps...
Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure. Question 9 options:
A) Reflection along x-axis; Translation: (x, y) → (x, y – 3)
B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)
C) Reflection along y-axis; Translation: (x, y) → (x, y + 3)
D) Reflection along x-axis; Translation: (x, y) → (x, y)
Answer:
B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are dilatation, rotation, reflection and translation.
The point of triangle ABC are A(-4, 4), B(-7, 1) and C(-3, -2) while for triangle A'B'Ç' is at A'(4, 1), B'(7, -2) and C'(3, -5)
If a point C(x, y) is reflected along y axis, the y coordinates is the same and the x coordinate is opposite (negated), i.e C'(-x, y). If a point C(x, y) is translated 3 units down, the new point is (x, y - 3).
ΔABC transformation to ΔA'B'C', the x coordinate is opposite and the y coordinate is 3 units downward, therefore this is a Reflection along y-axis; Translation: (x, y) → (x, y – 3)
Answer: c
Step-by-step explanation:
The answer is c bc you reflect across the y axis and then translate
Identify the function that best models the given data. HELP ASAP THANKS!!!
Answer:
2nd option
Step-by-step explanation:
plugging the values of x as 0,1,2,3,4,5 will help to find the exact equation
x= 0 , 199
x=1, 199* 1.25 =248.75 (approximately)
x=2, 199* (1.25)^2 = 310.9 (approximately)
x=3, 199* (1.25)^3 = 388.67 (approximately)
x=4, 199* (1.25)^4 = 485.83 (approximately)
x=5, 199* (1.25)^5 = 607.29 (approximately)
Answer: f(x) ≈ 199(1.25)^x
Step-by-step explanation:
Figure G is rotated 90Degrees clockwise about the origin and then reflected over the x-axis, forming figure H. On a coordinate plane, triangle G has points (negative 3, 1), (negative 1, 2), (negative 2, 5). Triangle H has points (2, negative 1), (1, negative 3), (5, negative 2). Which sequence of transformations will produce the same results?
Answer:
The 1st selection is appropriate.
_____
2nd: the rotation would need to be 90° CCW
3rd, 4th: rotation or double reflection will give the original orientation. This figure is reflected an odd number of times, so has its orientation reversed.
Hope it helps.. Mark brainliest
The sequence of transformations are reflection over the y-axis and then a rotation 90 clockwise about the origin.
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
Given that, figure G is rotated 90° clockwise about the origin and then reflected over the x-axis, forming figure H.
Vertices of triangle G are (-3, 1), (-1, 2) and (-2, 5).
The reflection of point (x, y) across the y-axis is (-x, y).
On reflection over x-axis, we get coordinates as (3, 1), (1, 2) and (2, 5)
90° clockwise rotation: (x, y) becomes (y, -x)
On 90° clockwise rotation, we get coordinates as (1, -3), (2, -1) and (5, -2)
Triangle H has points (2, -1), (1, -3), (5, -2).
Hence, the sequence of transformations are reflection over the y-axis and then a rotation 90° clockwise about the origin.
Learn more about the rotation of 90° counterclockwise here:
brainly.com/question/1571997.
#SPJ6
Pls help. I rly don't understand it.
Answer:
You just need to demonstrate that the expression is not equivalent. To do that, we just need to evaluate the expression with a specific number.
[tex]\frac{3}{8}x+2 \neq \frac{3}{2}x+5[/tex]
For [tex]x=0[/tex], we have
[tex]\frac{3}{8}(0)+2 \neq \frac{3}{2}(0)+5\\2 \neq 5[/tex]
Notice that the answer is true because 2 is not equivalent to 5.
Therefore, the expression is actually non-equivalent.
question is in picture PLEASE HELP
Answer:
Step-by-step explanation:
Hello,
For the step 1:
We multiply the first equation by 3 and the second equation by 2, so we are using the Multiplication Property of Equality.
For the step 2:
To eliminate the x we subtract the first equation to the second one, so we are using the Subtraction Property of Equality.
For the step 3:
We divide by -16 both parts of the equation, so we are using the Division Property of Equality.
For the step 4:
We replace y in the initial first equation, we we are using the Substitution Property of Equality.
For the step 5:
We just Simplify.
For the step 6:
We add 4 to both parts of the equation, so we are using the Addition Property of Equality.
For the step 7:
We divide by 2, so we are using the Division Property of Equality.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Jakki got a new job that guarantees her a 6% raise every year. If she started out making $40,000, how long will it be before she doubles her current salary?
Answer:
2400months
Step-by-step explanation:
6/100*40,000
maybe
A student who is 5ft tall and cast a shadow 8ft long.at the Same time a flag shadow is 24ft long.how long is the flag?
Answer:
The long of the flag is:
15 ft
Step-by-step explanation:
On a three rule:
5 ft is to 8 ft
24 ft is to A ft
A = 24*5/8
A = 15 ft
related task: https://brainly.com/question/17139181
At a boating and sport store the cost of renting a personal watercraft is $64.20 per half hour, which includes a 7% sales tax. Determine the cost of a half hour rental before tax
Answer: $60
Step-by-step explanation:
Given the following :
Total cost of renting a personal water craft = $64.20
Sales tax charged = 7%
Let the pretax cost = y
Therefore,
total cost = pretax cost + tax
$64.20 = y + 7% of y
$64.20 = y + 0.07y
$64.20 = 1.07y
y = $64.20 / 1.07
y = $60
Therefore, the rental cost of a personal watercraft for half an hour before tax is $60
In the system of equations below, which variable would it be easiest to solve for? x + 4 y = 14. 3 x + 2 y = 12 The easiest to solve for is x in the first equation. The easiest to solve for is y in the first equation. The easiest to solve for is x in the second equation. The easiest to solve for is y in the second equation.
Answer:
The easiest to solve for is x in the first equationStep-by-step explanation:
Given the system of equation, x + 4 y = 14. and 3 x + 2 y = 12, to solve for x, we can use the elimination method of solving simultaneous equation. We need to get y first.
x + 4 y = 14............ 1 * 3
3 x + 2 y = 12 ............ 2 * 1
Lets eliminate x first. Multiply equation 1 by 3 and subtract from equation 2.
3x + 12 y = 42.
3 x + 2 y = 12
Taking the diffrence;
12-2y =42 - 12
10y = 30
y = 3
From equation 1, x = 14-4y
x = 14-4(3)
x = 14-12
x = 2
It can be seen that the easiest way to get the value of x is by using the first equation and we are able to do the substitute easily because the variable x has no coefficient in equation 1 compare to equation 2 as such it will be easier to make the substitute for x in the first equation.
Answer:
A: The easiest to solve for is x in the first equation.
Step-by-step explanation:
When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to create a perfect square trinomial?
Answer:
According to steps 2 and 4. The second-order polynomial must be added by [tex]-c[/tex] and [tex]b^{2}[/tex] to create a perfect square trinomial.
Step-by-step explanation:
Let consider a second-order polynomial of the form [tex]a\cdot x^{2} + b\cdot x + c = 0[/tex], [tex]\forall \,x \in\mathbb{R}[/tex]. The procedure is presented below:
1) [tex]a\cdot x^{2} + b\cdot x + c = 0[/tex] (Given)
2) [tex]a\cdot x^{2} + b \cdot x = -c[/tex] (Compatibility with addition/Existence of additive inverse/Modulative property)
3) [tex]4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c[/tex] (Compatibility with multiplication)
4) [tex]4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c[/tex] (Compatibility with addition/Existence of additive inverse/Modulative property)
5) [tex](2\cdot a \cdot x + b)^{2} = b^{2}-4\cdot a \cdot c[/tex] (Perfect square trinomial)
According to steps 2 and 4. The second-order polynomial must be added by [tex]-c[/tex] and [tex]b^{2}[/tex] to create a perfect square trinomial.
Answer: D
Step-by-step explanation:
EDGE 2023
Question 4 of 10
Multiple Choice: Please select the best answer and click "submit."
What is the length of the altitude of the equilateral triangle below?
30°
6
09
a
60° 90°
3
60°
3
O A. 1
OB. 6
O C. 313
OD. 3
O E. 6.13
O F. 27
Answer:
Option C. 3√3
Step-by-step explanation:
Please see attached photo for brief explanation.
In the attached photo, we obtained the following:
Opposite = a
Adjacent = 3
Hypothenus = 6
Angle θ = 60°
We can obtain the value of 'a' as follow:
Tan θ = Opposite /Adjacent
Tan 60° = a/3
Cross multiply
a = 3 x Tan 60°
But: Tan 60° = √3
a = 3 x Tan 60°
a = 3 x √3
a = 3√3
Therefore, the length of the altitude of the equilateral triangle is 3√3.
Solve y^2-7=2xy ; 2x^2+3=xy
with explanation and proper steps!
Answer:
what does ; resemble
Step-by-step
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
A) Let's solve for x. [tex]y^2-7=2xy[/tex]
Step 1: Flip the equation.
[tex]2xy = y^2 - 7[/tex]
Step 2: Divide both sides by 2y.
[tex]\frac{2xy}{2y} = \frac{y^2- 7}{2y}[/tex]
[tex]x = \frac{y^2- 7}{2y}[/tex]
Answer : [tex]x = \frac{y^2- 7}{2y}[/tex]
~~~~~~~~~~~~~
B) Let's solve for y. [tex]2x^2+3=xy[/tex]
Step 1: Flip the equation.
[tex]xy = 2x^2 + 3[/tex]
Step 2: Divide both sides by x.
[tex]xy = \frac{2x^2 + 3}{x}[/tex]
[tex]y = \frac{2x^2 + 3}{x}[/tex]
Answer : [tex]y = \frac{2x^2 + 3}{x}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Quinda begins to solve the equation Negative 4.5 x + 3 = 2 minus 8.5 x by adding 8.5x to each side of the equation. Which next step would result in the variable terms and constant terms being on different sides of the equals sign?
Subtract 4x from both sides.
Subtract 2 from both sides.
Add 4x to both sides.
Subtract 3 from both sides.
Answer:
subtract 3 from both sides
Step-by-step explanation:
Given
- 4.5x + 3 = 2 - 8.5x ( add 8.5x to both sides )
4x + 3 = 2 ( subtract 3 from both sides )
4x = - 1 ( divide both sides by 4 )
x = - [tex]\frac{1}{4}[/tex]
Answer:
subtract 3 from both sides
Step-by-step explanation:
D, the last one
PLEASE HELP ME If ƒ(x) = -x and ƒ(-3), then the result is: -3. 0. 3. None of these choices are correct.
Answer:
The answer is 3.
Step-by-step explanation:
This is because f(-3) = -(-3) = 3.
You are in a panic! You forgot to buy your little brother a birthday present. You start with $60 in your wallet. You buy him several toys, t, that are $5 each. You know have $45 leftover. How many toys did you buy your little brother for his birthday? (set up the equation)
Answer: 3 toys
Step-by-step explanation:
equation will be 60 - 5 x t = 45
solving it we get
5 x t = 60 - 45 = 15
=> t = 15/5 = 3
Help please!!!!!!!I don’t know this! Tyy
====================================================
Explanation:
Each cube has a side length of 4. Placed together like this, the total horizontal side combines to 4+8 = 8. This is the segment HP as shown in the diagram below. I've also added point Q to form triangle HPQ. This is a right triangle so we can find the hypotenuse QH
Use the pythagorean theorem to find QH
a^2 + b^2 = c^2
(HP)^2 + (PQ)^2 = (QH)^2
8^2 + 4^2 = (QH)^2
(QH)^2 = 64 + 16
(QH)^2 = 80
QH = sqrt(80)
Now we use segment QH to find the length of segment EH. Focus on triangle HQE, which is also a right triangle (right angle at point Q). Use the pythagorean theorem again
a^2 + b^2 = c^2
(QH)^2 + (QE)^2 = (EH)^2
(EH)^2 = (QH)^2 + (QE)^2
(EH)^2 = (sqrt(80))^2 + (4)^2
(EH)^2 = 80 + 16
(EH)^2 = 96
EH = sqrt(96)
EH = sqrt(16*6)
EH = sqrt(16)*sqrt(6)
EH = 4*sqrt(6), showing the answer is choice C
-------------------------
A shortcut is to use the space diagonal formula. As the name suggests, a space diagonal is one that goes through the solid space (rather than stay entirely on a single face; which you could possibly refer to as a planar diagonal or face diagonal).
The space diagonal formula is
d = sqrt(a^2+b^2+c^2)
which is effectively the 3D version of the pythagorean theorem, or a variant of such.
We have a = HP = 8, b = PQ = 4, and c = QE = 4 which leads to...
d = sqrt(a^2+b^2+c^2)
d = sqrt(8^2+4^2+4^2)
d = sqrt(96)
d = sqrt(16*6)
d = sqrt(16)*sqrt(6)
d = 4*sqrt(6), we get the same answer as before
The space diagonal formula being "pythagorean" in nature isn't a coincidence. Repeated uses of the pythagorean theorem is exactly why this is.
Two cars leave an intersection. One car travels north: the other east. When the car traveling north had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading east. How far had the eastbound car traveled?
Answer:
20 miles
Step-by-step explanation:
Given that :
When the car traveling north 'N' had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading east
Let the distance moved by the east bound car be e,
therefore, distance between the cars when the northbound car had traveled a distance of 15 miles = e + 5
Using Pythagoras rule:
(Hypotenus)^2 = (adjacent)^2 + (Opposite)^2
(e+5)^2 = 15^2 + e^2
(e+5)(e+5) = 225 + e^2
e^2 + 5e + 5e + 25 = 225 + e^2
e^2 + 10e + 25 = 225 + e^2
e^2 - e^2 + 10e = 225 - 25
10e = 200
e = 200 / 10
e = 20 miles
Check attached picture for solution diagram
Which of the following options have the same value as 40% of 84?
Choose 2 answers:
40•84
0.41/84
40
100 • 84
84/40
0.4 • 84
Answer:
0.4.84
Step-by-step explanation:
you divide the 40 by 100
(ugsygygsgag I’m struggling) Find the value of x in the isosceles triangle shown below
Answer:
Option B. x = 13
Step-by-step explanation:
In this question, we shall give a separate diagram which will help us to further understand the question.
Please see attached photo for further details.
To find the value of x we shall use the pythagoras theory as illustrated below:
x is the longest side Therefore,
x² = 12² + 5²
x² = 144 + 25
x² = 169
Take the square root of both side
x = √169
x = 13
Therefore, the value of x 13.
What is the reason for step 5 in this proof
Answer:
Alternate interior angles theorem
Step-by-step explanation:
DG // EF and GE is the transversal. So, alternate interior angles are congruent
Therefore, ∠HGD ≅ ∠HEF
DG // EF and DF is the transversal. So, alternate interior angles are congruent
Therefore, ∠HDG ≅ ∠HFE
Please answer the following questions
Answer:
a) 8.8 square centimetres
b) 31.8 square centimetres
c) (3a + 12) square centimetres
d) Area = (2b + 2c + 4) square centimetres
Step-by-step explanation:
a) We have to split the diagram into three separate rectangles as shown below.
The area of A:
Area = 5.3 * 1 = 5.3 square centimetres
The area of B:
Area = 3.3 * 1 = 3.3 square centimetres
The area of C:
Area = 2 * 1 = 2 square centimetres
The area of the shape is the sum of the areas of the three shapes:
Area = 5.3 + 3.3 + 2 = 8.8 square centimetres
b) We have to split the diagram into two separate rectangles as shown below.
Note:(The diagram has conflicting values for 2.6 and 2.1 but I went with 2.6 as it seems more feasible in the diagram)
The area of A:
Area = 3 * 2.6 = 7.8 square centimetres
The area of B:
Area = 6 * 4 = 24 square centimetres
The area of the shape is the sum of the areas of the two shapes:
Area = 7.8 + 24 = 31.8 square centimetres
c) The shape is a rectangle and so its area is:
Area = 3 * (a + 4) = (3a + 12) square centimetres
d) The shape is a trapezium and so its area is:
Area = 0.5(A + B)H
where A = c cm
B = b + 2 cm
H = 4 cm
The area of the shape is therefore:
Area = 0.5 * (c + b + 2) * 4
Area = 2 * (b + c + 2)
Area = (2b + 2c + 4) square centimetres
can someone help me please
Answer:
-3x
Step-by-step explanation:
-3 is the coefficient and x is the variable.
Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 P.M. on a weekday. Use the sample data to construct a 98% confidence interval estimate of the population standard deviation. 65 62 62 55 62 55 60 59 60 70 61 68
The confidence interval estiamte it __mi/h< o <__mi/h
Answer:
3.0 mi/h < σ < 8.54 mi/h
Step-by-step explanation:
Given:
Sample data: x: 65 62 62 55 62 55 60 59 60 70 61 68
Confidence = c = 98% = 0.98
To find:
Construct a 98% confidence interval estimate of the population standard deviation.
Solution:
Compute Mean:
number of terms in data set = n = 12
Mean = Sum of all terms / number of terms
= 65 + 62 + 62 + 55 + 62 + 55 + 60 + 59 + 60 + 70 + 61 + 68 / 12
= 739/12
Mean = 61.58
Compute standard deviation:
s = √∑(each term of data set - mean)/ sample size - 1
s = √∑([tex]_{x-} {\frac{}{x} }[/tex])²/n-1
= √( 65 - 61.58)² + (62 - 61.58)² + (62 - 61.58)² + (55 - 61.58)² + (62 - 61.58)² + (55 - 61.58)² + (60 - 61.58)² + (59 - 61.58)² + (60 - 61.58)² + (70 - 61.58)² + (61 -61.58)² + (68 - 61.58)² / 12-1
= √(11.6964 + 0.1764 + 0.1764 + 43.2964 + 0.1764 + 43.2964 + 2.4964 + 6.6564 + 2.4964 + 70.8964 + 0.3364 + 41.2164) / 11
= √222.9168/11
= √20.2652
= 4.50168
= 4.5017
s = 4.5017
Compute critical value using chi-square table:
For row:
degree of freedom = n-1 = 12 - 1 = 11
For Column:
(1 - c) / 2 = (1 - 0.98) / 2 = 0.02/2 = 0.01
1 - (1 - c) / 2 = 1 - (1-0.98) / 2 = 1 - 0.02 / 2 = 1 - 0.01 = 0.99
[tex]X^{2} _{1-\alpha/2}[/tex] = 3.053
[tex]X^{2} _{\alpha/2}[/tex] = 24.725
Compute 98% confidence interval of standard deviation:
[tex]\sqrt{\frac{n-1}{X^{2} _{\alpha/2}} } s[/tex] = [tex]\sqrt{\frac{12-1}{24.725} } ( 4.5017)[/tex] = [tex]\sqrt{\frac{11}{24.725} } ( 4.5017)[/tex] = [tex]\sqrt{0.44489}(4.5017)[/tex]
= 0.6670 (4.5017) = 3.0026
[tex]\sqrt{\frac{n-1}{X^{2} _{\alpha/2}} } s[/tex] = 3.0026
[tex]\sqrt{\frac{n-1}{X^{2} _{1-\alpha/2}} } s[/tex] = [tex]\sqrt{\frac{12-1}{3.053} } ( 4.5017)[/tex] = [tex]\sqrt{\frac{11}{3.053} } ( 4.5017)[/tex] = [tex]\sqrt{3.6030} (4.5017)[/tex]
= 1.8982 ( 4.5017) = 8.5449
[tex]\sqrt{\frac{n-1}{X^{2} _{1-\alpha/2}} } s[/tex] = 8.5449
3.0026 mi/h < σ < 8.5449 mi/h
can someone please help
Answer:
C
Step-by-step explanation:
The dependent variable is always graphed on the y-axis and the independent variable is always graphed on the x-axis. Therefore, the dependent and independent variables are total price ($) and number of boxes respectively which makes the answer C.
Answer:
C. The total price depends on the number of boxes.
Step-by-step explanation:
In a graph, the x-variable is the independent variable; it is what you can change.
The y-variable is the dependent variable; its value depends on the value of the x-variable.
In this case, the y-variable is the total price of cupcakes, which depends on the x-variable, the number of boxes. C is your answer.
Hope this helps!
I need answers for this please!! ;D
it is isosceles triangle as you see
so that 62 = other unknown angle
as it is a triangle interior angles sum = 180
124 + x = 180
x = 180 - 124
x = 56
6. If these number sequences are continued, in which of the sequences will 2019 appear?
(A) 6, 12, 18, 24, ...
(B) 7, 13, 19, 25,
(C) 8, 14, 20, 26,
(D) 9, 15, 21, 27,
(E) 10, 16, 22, 28,...
Answer: D) 9, 15, 21, 27, ...
Step-by-step explanation:
Notice that the difference (d) for each option is 6.
Divide 2019 by 6 to see what the REMAINDER is (this is the first term).
2019 ÷ 6 = 336 r.3
None of the options start with 3 so the next option would be 3 + 6 = 9.
The only option that starts with 9 is option D.