Given:
Sample mean = 65.4
Standard deviation = 1.2
Sample size = 45
Confidence level = 99%
To find:
The confidence interval.
Solution:
The formula for confidence interval is
[tex]CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}[/tex]
where, [tex]\overline{x}[/tex] is sample mean, z* is confidence value, s is standard deviation and n is sample size.
Confidence value or z-value at 99% = 2.58
Putting the given in the above formula, we get
[tex]CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}[/tex]
[tex]CI=65.4\pm 0.46[/tex]
[tex]CI=65.4-0.46\text{ and }CI=65.4+0.46[/tex]
[tex]CI=64.94\text{ and }65.86[/tex]
Therefore, the correct option is D.
Answer:
the answer is, 64.94 and 65.86
Step-by-step explanation:
Can you help me with a question?
Answer: I think it s 8
Step-by-step explanation:
5 + 7 + 5 + 7 = 24 and 24/3 = 8
Tomas found a bag of 100 AA batteries in a box in his garage. He placed one battery at a time into a flashlight that required one AA battery. After trying 20 batteries, Tomas found that only 3 of the batteries were good. Based on Tomas' attempts so far, how many of the batteries in the bag could he expect to be good?
Answer:15
Step-by-step explanation: so for every 20 batteries there are 3. 5 times 20 equals 100 so 5x3 equals 15 so that’s your answer hope it helps doesn’t sound uncomplicated but it’s right :D
I know it’s a lot but 23 points and will make brainliest!!!
Please do 5-10
Answer:
5, 20 - 52 = x
6, x - 27 = 5
7, 4 + x = 6
8, 14 - x = 29
9, x - 54 = 12
10, x + 25 = 40
Step-by-step explanation:
hope this is what u wanted.
brainiest please
Please help its due today.
Show that the conjecture is false by finding a counter example.
If the quotient of two numbers is positive then the two numbers must be
positive.
Answer:
Counter example: (-2) x (-3) = 6
Step-by-step explanation:
The sum of any two prime numbers is always even. -2 and -3 are each negative numbers, yet their product is 6, a positive number.
k/2 - 5k + 3 =4 solve
Answer:
k=0
Step-by-step explanation:
/2-5K+3=4
We move all terms to the left:
/2-5K+3-(4)=0
determiningTheFunctionDomain
-5K+3-4+/2=0
We add all the numbers together, and all the variables
-5K-1+/2=0
We multiply all the terms by the denominator
-5K*2-1*2+=0
We add all the numbers together, and all the variables
-5K*2=0
Wy multiply elements
-10K=0
K=0/-10
K=0
what part of the circle is shaded?
Answer:
part a if that's what you mean
Step-by-step explanation:
Can anyone help??
Thx if you can!
Express 38% as a decimal number.
Answer:
Step-by-step explanation:
38/100=0.38
need help with this if you can explain please do if not then just and answer is okay
Step-by-step explanation:
f(x) = x / (x - 7) = 1 + 7 / (x - 7).
The domain of f(x) depends whether the denominator of the rational expression is non-zero.
When (x - 7) = 0, x = 7.
Hence domain of f(x)
= All real values of x excluding 7. (C)
Answer:
C. All real values of sucth that x ≠ 7
Step-by-step explanation:
This is the answer because:
1) Set up the composite function and evaluate, then find the domain of the result.
Therefore, the answer is C.
Hope this helps! :D
ABCDE~GHJDF Complete statement
Answer:
FE
Step-by-step explanation:
i hope you help this answer
For the two similar figures, the expression can be written as:
[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]
What is the similarity?In geometry, similarity refers to the property of two figures that have the same shape but possibly different sizes. Two figures are considered similar if their corresponding angles are congruent and their corresponding sides are proportional.
For example, two triangles are similar if they have the same shape but can be different in size. This means that the corresponding angles of the two triangles are equal and the corresponding sides are in proportion.
The symbol used to denote similarity is "~". For example, if triangle ABC is similar to triangle DEF, we write it as:
ABCDE~GHJDF are similar. So the ratios of the sides of the figure can be written as,
[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]
To know more about similarity follow
https://brainly.com/question/30068992
#SPJ7
Translate the following word phrase into an algebraic expression: six times four less than three times x
Answer:
Step-by-step explanation:
6(3x - 4)
Answer:
6(3x-4) this is the correct answer
i giveeee brainlilisttttttt
Answer:
2222ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss22222222222222222222222222222222222222222222222222222222222222222222
Step-by-step explanation:
sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss222222222222222222222222222222222
3. Make F the subject of the formula
H-2FL
W
3F
Answer:
Step-by-step explanation:
Ur still up
Can you please help me
9514 1404 393
Answer:
x = 65°y = 32.5°Step-by-step explanation:
ΔBCD is isosceles, so ∠CDB = ∠CBD = x. The sum of angles in the triangle is 180°, so you have ...
x + x + 50° = 180°
2x = 130° . . . . . . . . . subtract 50°, collect terms
x = 65° . . . . . . . divide by 2
__
Triangle ABC is also isosceles, so ∠BAC = ∠BCA = y. Angle ABC is the supplement of angle x. The sum of angles in ΔABC is 180°:
y + y + (180° -x) = 180°
2y - 65° = 0 . . . . . . . . . . subtract 180°, substitute the value of x
y -32.5° = 0 . . . . . . . divide by 2
y = 32.5° . . . . . . . . . . add 32.5°
Please help!!!!!!!!!!
Answer:
By hypotenuse - side test (HL) the two triangles are congruent.
Step-by-step explanation:
In ∆ABC and ∆DCB
i) angleABC = angleDCB.....(each 90°)
ii) BC = BC .....( common side)
iii) AC = DB.....(given)
therefore by hypo-side test ∆ABC congruent ∆DCB
Answer:
HL
Step-by-step explanation:
∠B ≅ ∠C = 90°
AC = DB {Given and they are hypotenuse}
BC = CB {Reflexive property}
ΔABC ≅ ΔDCB {HL congruent}
HELP URGENT WILL GIVE BRAINLIEST
Answer:
A. parabola I believe that is the answer
Consider the function y=0.88(1.1)x.identify what type of function this is
A.Exponential growth
B.Exponential decay
Answer:
A
Step-by-step explanation:
Jada solved the equation -g - 108 for x using the steps below. What was Jada's error?
Answer: Choice A) Jada should have multiplied both sides by 108.
Reasoning:
x is a placeholder for some unknown value. We are dividing x by 108 to form the fraction x/108. To isolate x, we need to undo this operation. So we need to multiply both sides by 108. Doing so leads to the solution x = -48.
Are the triangles similar?
These triangles are not similar.
These triangles are similar by AA.
These triangles are similar by SAS.
These triangles are similar by SSS.
Answer:
These triangles are not similar I think
Hi there! Let's solve this problem step by step. :)
We have two triangles, QRP and XYP. You're given a few values.
It is given that QR = 16. QP = 6 + 18. RP = 5 + 15. Go ahead and add those.
QR = 16, QP = 24, RP = 20.
Now XYP!
XY = 12. YP = 15. XP = 18.
If you know the corresponding parts between these triangles--they should be QR to XY, QP to YP, and RP to XP. Those are 16/12, 24/15, and 20/18. Divide those.
You get 1.3333, 1.6, and 1.1111. Your turn! Are they similar?
[P.S., if you're confused about the AA/SAS/SSS similarity postulates, that just means the sides they have in common. You're not given any angle measurements, so SAS (side angle side) is out. SSS is possible, but since the ratios aren't equivalent, SSS is out. Again, AA (angle-angle) isn't possible because you're not given any angle measurements.)
That's it! :)
Good day, friend.
Kalin walks at a steady rate of 1.1 miles per hour. The beach is 4 miles from his
home.
How long will it take Kalin to walk from his home to the beach and back to his home?
Answer:
It would take him 4 hrs
Step-by-step explanation:
and 40 or 4 mins
Marcus is rewriting a polynomial by combining like terms. Which terms does he still need to combine to finish rewriting the polynomial?
-3mn - 4n^4+ 2mn - 6n-5mn^3- 6m^3n
Answer:
Step-by-step explanation:
-3mn - 4n^4+ 2mn - 6n-5mn^3- 6m^3n=
he needs to combine -3mn and 2mn,
not sure if the last term is correct
The bolded terms in the polynomial are to be combined. The resultant polynomial is -
- 4n⁴ - 5mn³ - 6m³n - mn - 6n
What is a polynomial? What is a mathematical equation and expression?In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate [x] is x² − 10x + 6.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is the following polynomial -
- 3mn - 4n⁴ + 2mn - 6n - 5mn³ - 6m³n
We have -
- 3mn - 4n⁴ + 2mn - 6n - 5mn³ - 6m³n
- 4n⁴ - 5mn³ - 6m³n - 3mn + 2mn - 6n
- 4n⁴ - 5mn³ - 6m³n - mn - 6n
Therefore, the bolded terms in the polynomial are to be combined. The resultant polynomial is -
- 4n⁴ - 5mn³ - 6m³n - mn - 6n
To solve more questions on polynomial, visit the link below -
https://brainly.com/question/17421223
#SPJ2
WORTH 20 POINTS PLS HELP!
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by the function:
Part D: The balloon will reach its maximum height after how many hours?
h(x)=-16x2+64x+80
Answer:80ft
Step-by-step explanation:
Explain why -6, -3, 0, 3, and 6 were selected for the x-values in the table.
Answer:
you need a wide range of values in order to draw an accurate line ideally values that are not to close to each other
solve for x
this is really difficult
Answer:
all the angles in a triangle will add to 180
65 + 57 + 2x = 180
subtract the 65 and 57 from both sides
2x = 58
x = 29
D) 29
hope this helps :)
Step-by-step explanation:
Answer: x=29
Step-by-step explanation:
In a triangle, the sum of the measures of all angles is 180 degrees.
Therefore, we can add up all the angles in this triangle, setting them equal to 180:
65+57+2x=180
Using the equation above, solve for x:
Simplify:
122+2x=180
Subtract 122 from both sides:
(122+2x)-122=180-122
Simplify:
2x=58
Divide both sides by 2:
2x/2=58/2
Simplify:
x=29
It snowed from 9:43 PM to 11:37 PM. How long was it snowing?
Answer:
1 hour and 54 minutes and ignore this stuff sjsjsbdbsj
Answer:
An hour and 54 minutes lol
Step-by-step explanation:
Yall im doing the diagnostic... help
solve. -11 2/3 x (-4 1/5)
What is the equation of a line parallel to the y axis?
Answer:
If any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a.
Step-by-step explanation:
Thus, if P(x, y) is any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a. The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it.
WELLPPPPPPPPPPP!!!! I NEED HELP ASAP
Answer:
Only B I'm pretty sure and if I'm wrong I'm sorry but I'm like 99% sure it's only B
The range of the integers 20, 6, 18, -15, -12 is
a) 20
b) 35
c) -25
d) -15
Answer:
B. 35
Step-by-step explanation:
The range of a set of numbers is the difference between the highest and lowest numbers in the set.
1. Find the highest and lowest numbers from the set. Arranging them from least to greatest can make this easier.
-15, -12, 6, 18, 20
The lowest number is -15 and the highest is 20.
2. Subtract these two numbers to find the range.
20 -- 15
Two minus signs like that make a positive, so it becomes an addition problem.
20 + 15 = 35
Answer is b.
I also think the right option is B)- 35
If g(x) = 6x - 36, which statement is true?
A.The y-intercept of g(x) is less than the y-intercept of (x).
B.The x-intercept of g(x) is less than the x-intercept of f(x).
C. The y-intercept of g(x) is greater than the y-intercept of f(x).
D. The x-intercept of g(x) is greater than the x-intercept of Ax).
Answer:
A.The y-intercept of g(x) is less than the y-intercept of (x).
B.The x-intercept of g(x) is less than the x-intercept of f(x).
C. The y-intercept of g(x) is greater than the y-intercept of f(x).
D. The x-intercept of g(x) is greater than the x-intercept of Ax).
(A) I think
Step-by-step explanation: