The standard deviation is a measure of a collection of values' variance or dispersion. The true mean bill for a customer at Burger Palace with 95% confidence is $13.38.
What is a standard deviation?The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
Given that the Sample mean ([tex]\overline x[/tex]) is $14.30, the Sample size(n) is 24 customers, the Standard deviation(σ) is 2.30, while for a 95% confidence interval the Z-score is 1.960. Therefore, the true mean can be written as,
[tex]Z = \dfrac{\overline x- \mu}{\frac{\sigma}{\sqrt n}}\\\\\\1.960 = \dfrac{14.30-\mu}{\frac{2.30}{\sqrt{24}}}\\\\\\1.960 = \dfrac{14.3-\mu}{0.47}[/tex]
μ = 13.3788 ≈ 13.38
Hence, the true mean bill for a customer at Burger Palace with 95% confidence is $13.38.
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FIND THE LENGTH OF THE CHORD LM
Answer:
12 sin 75°
Step-by-step explanation:
See the attached images!
If a rectangular lot measures 120 ft. x 80 ft, and 10 foot set backs are required from each lot line, how much area is left?
If a kennel for 50 dogs requires 12,500 square feet, how many dogs can be accommodated in the small rectangle?
There will be 9,600
square feet in the smaller lot.
The number of dogs allowed is 24 v (Use a whole number.)
Answer:
6000 square feet24 dogsStep-by-step explanation:
The available area is found by subtracting twice the border width from each of the overall lot dimensions. The accommodation that provides is found by dividing the area by the area required per dog.
__
The 10 foot setback from each lot line means the usable space has dimensions that are 20 feet shorter than the lot dimensions.
usable rectangle = (120 ft -20 ft)×(80 ft -20 ft) = (100 ft)(60 ft)
usable rectangle = 6000 ft²
There will be 6000 square feet in the smaller lot.
__
The space required for each dog is ...
(12,500 ft²)/(50 dogs) = 250 ft²/dog
Then the number of dogs that can be accommodated in 6000 ft² is ...
(6000 ft²)/(250 ft²/dog) = 24 dogs
The number of dogs allowed is 24.
2(6n+8)
Explain please
Answer:
12n + 16
Step-by-step explanation:
2 (6n + 8)
= (2*6n) + (2*8) [distributive property]
= 12n + 16
Hope it helps ⚜
Answer:
12n + 16
Step-by-step explanation:
Distributive Property
a(b + c) = ab + acDistributing the terms
2(6n + 8)2(6n) + 2(8)12n + 16Find the mean of x of each distribution.
Correct answers will be mark as BRAINLIEST and get 50 points
Wrong answers will be reported
Answer:
See below ~
Step-by-step explanation:
a)
Mean = 2(11) + 3(17) + 4(24) + 5(23) + 6(18) + 7(15) / 108Mean = 22 + 51 + 96 + 115 + 108 + 105 / 108Mean = 497 / 108Mean = 4.6b)
Mean = 0(35) + 1(76) + 2(48) + 3(22) / 181Mean = 76 + 96 + 66 / 181Mean = 1.31c)
Mean = 8(7) + 9(10) + 10(3) / 20Mean = 56 + 90 + 30 / 20Mean = 176/20Mean = 8.8Answer:
a) 4.60 (2 dp)
b) 1.31 (2 dp)
c) 8.8
Step-by-step explanation:
The "Frequency" part of a frequency table is the measure of how often the data value occurs.
To calculate the mean of data presented in a frequency table, we need to multiply each data value by its given frequency, sum these, then divide by the sum of the frequency.
The formula for mean is:
[tex]\textsf{mean}=\overline{x}=\dfrac{\displaystyle \sum fx}{\displaystyle\sum f}[/tex]
Part (a)Add a row showing the values of [tex]fx[/tex]
Add a column showing the totals of [tex]f[/tex] and [tex]fx[/tex]
[tex]\large\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} & & & & & & & \sf Total \\\cline{1-8} x & 2 & 3 & 4 & 5 & 6 & 7 & \\\cline{1-8} \textsf{Frequency}\:f & 11 & 17 & 24 & 23 & 18 & 15 & 108\\\cline{1-8} fx & 22 & 51 & 96 & 115& 108 & 105 &497 \\\cline{1-8}\end{array}[/tex]
Now use the formula to calculate the mean:
[tex]\implies \textsf{mean}=\overline{x}=\dfrac{497}{108}=4.60\:\textsf{(2 dp)}[/tex]
Part (b)Add a column showing the values of [tex]fx[/tex]
Add a row showing the totals of [tex]f[/tex] and [tex]fx[/tex]
[tex]\large\begin{array}{| c | c | c |}\cline{1-3} x & \textsf{Frequency}\: f & fx \\\cline{1-3} 0 & 35 & 0 \\\cline{1-3} 1 & 76 & 76\\\cline{1-3} 2 & 48 & 96\\\cline{1-3} 3 & 22 & 66 \\\cline{1-3} \sf Total & 181 & 238 \\\cline{1-3}\end{array}[/tex]
Now use the formula to calculate the mean:
[tex]\implies \textsf{mean}=\overline{x}=\dfrac{238}{181}=1.31\:\textsf{(2 dp)}[/tex]
Part (c)Add a column showing the values of [tex]fx[/tex]
Add a row showing the totals of [tex]f[/tex] and [tex]fx[/tex]
[tex]\large\begin{array}{| c | c | c |}\cline{1-3} x & \textsf{Tally}\: f & fx \\\cline{1-3} 8 & 7 & 56\\\cline{1-3} 9 & 10 & 90\\\cline{1-3} 10 & 3 & 30\\\cline{1-3} \sf Total & 20 & 176\\\cline{1-3}\end{array}[/tex]
Now use the formula to calculate the mean:
[tex]\implies \textsf{mean}=\overline{x}=\dfrac{176}{20}=8.8[/tex]
PLEASE HELP WILL MARK BRAINLIEST
Answer:
b = 13√3
c = 26
Step-by-step explanation:
tan 30 = a /b
b = a/ tan 30 = 13 / (1/√3) = 13√3
sin 30 = a /c
c = a/ sin 30 = 13 / (1/2) = 13 * 2 = 26
Answer:
if a = 13 than..
c = 26
b = 13√3
Step-by-step explanation:
Given f(x) = x^2 – 3x – 2, what is f(5)?
Answer:
[tex]f(5)=8[/tex]
Step-by-step explanation:
Given function: [tex]f(x)=x^2-3x-2[/tex]
To find [tex]f(5)[/tex], simply input [tex]x=5[/tex] into the function:
[tex]\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}[/tex]
[tex]\huge\color{white}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]
To find :-The value of f(5)
Given :-f(x) = x² - 3x - 2
Solution :-f(x) = x² - 3x - 2
we will put the value of x as 5
so that to find f(5).
f(5) = (5)² - 3×5 - 2
f(5) = 25 - 15 - 2
f(5) = 8
Result :-The value of f(5) is 8.
1. Jessica and her family are driving to see friends who live 750 miles away. They dri for 12.5 hours before they arrive. What is their rate of change?
1. 60 miles per hour
2. 50 miles per hour
3. 75 miles per hour
4. 55 miles per hour
Answer:
60 miles per hour.
Step-by-step explanation:
speed = distance / time
= 750 / 12.5
= 60 miles per hour.
Please help me if i get another answer wrong i will fail pls help.
g(t) = (t – 10)(t + 1)
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
smaller t=
larger t =
2) What is the vertex of the parabola?
Write properties of function:
x intercept/zero: t₁ = -1, multiplicity 1; t₂ = 10 , multiplicity 1
vertex form: g (t) = (t - 9/2)² - 121/4
vertex: (9/2, -121/4)
The requried,
1. Zeros fo the function G(t) = (t – 10)(t + 1) are -1 and 10.
2. Vertex of the parabola is (9/2, -121/4).
A parabola is a cross-section cut out of the cone and represented by an equation G(t) = (t – 10)(t + 1.
Given function: G(t) = (t – 10)(t + 1)
1. To find the zeros of the function, we set G(t) to 0 and solve for t:
(t – 10)(t + 1) = 0
This gives us t = 10 and t = -1. Therefore, the smaller t is -1 and the larger t is 10.
So, the zeros of the function are:
smaller t = -1
larger t = 10
2.To find the vertex of the parabola, we can rewrite the given function in vertex form:
G(t) = (t – 9/2)² - 121/4
The vertex of the parabola is given by (h, k), where h is the x-coordinate and k is the y-coordinate. Therefore, the vertex of the parabola is:
Vertex: (9/2, -121/4)
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Ten students received their test grades back for Math 171.
80
88
60
52
96
58
66
Find the 5 number summary.
Answer:
5 number summary hulaan mo hhahah 82 56 92 78 68
Write the equation for the line in slope-intercept form.
Answer:
y = -3x - 3
Step-by-step explanation:
The line intercepts the y-axis at -3, and moves down 3 on the y for moving to the right 1 along the x-axis
There were 38 balloons at the beginning of a party. By the end of the party, c of them had popped. Using c, write an expression for the number balloons that were left.
Answer:
[tex]37 - c = x[/tex]
Step-by-step explanation:
We'll use c to represent the amount taken away (subtracted) and x to represent the amount left (the answer).
We begin with 37 balloon, and take away c amount to make x.
37 - c = x
Suppose a butterfly can fly 68 feet in 5 seconds. A dragonfly can fly 34 feet in 3 seconds. Which can fly faster and by how much?
Will give brainly
Answer:
butterfly1 second in 68 ft, or 2 4/15 ft/sStep-by-step explanation:
Speed is the ratio of distance to time. Speeds can be compared by comparing the times for the same distance, or by comparing the distances for the same time. A faster speed means more distance is covered in less time.
__
Here, we observe that 68 feet is a multiple of 34 feet, so it is easiest to compare the speeds of the insects by comparing their times for the same distance.
butterfly: 68 ft in 5 seconds
dragonfly: 2×34 ft in 2×3 seconds, or 68 ft in 6 seconds
The butterfly covers the same distance in less time, so it can fly faster.
__
Since our comparison of speeds is made using travel times, we can say the answer to "how much faster" is "1 second less over a distance of 68 feet."
_____
Additional comment
You may be expected to figure the speeds in units of feet per second. You do that by dividing feet by seconds.
butterfly: 68 ft/(5 s) = 13.6 ft/s
dragonfly: 34 ft/(3 s) = 11 1/3 ft/s
The difference in speeds is ...
(13 3/5) -(11 1/3) = 2 4/15 . . . ft/s
The butterfly's speed is 2 4/15 ft/s faster than the dragonfly's speed.
__
You see time comparisons in human foot races, often with differences measured in milliseconds. Almost never are speeds compared in terms of feet (or meters) per second.
Which expansion is equivalent to the series shown? Check all that apply. Expanding Summations with a Constant 16 + 19 + 24 + 31 + 40 15(1 + 4 + 9 + 16 + 25) 15 + 1 + 4 + 9 + 16 + 25 15(5) + 1 + 4 + 9 + 16 + 25
Answer:
A and D
Step-by-step explanation:
Answer:
A and D is correct
Step-by-step explanation:
just did test on edg
(b) The area of a rectangular pool is 5488 m\2 If the length of the pool is 98 m, what is its width?
Answer:
56
Step-by-step explanation:
To find the area of a rectangle we have the foruma A=WxL.
But we already have the area and length so we can plug that in
5488=Wx98
Now its an algebreic expression.
SInce its multiplying we do the opposite, so we divide 98 on both sides.
98/98 crosses itself out so now its 5488/98. Which equals 56. So now our expression is W=56. To fact check we put the numbers 56 and 98 into the formula to see if we get 5488.
A=56x98
A=5488
Consider the function g, domain R, defined by f(x)=2x^2+4x-1.
What is the codomain of the g function?
A: ]-∞,-3]
B: [-1,+∞[
C: [-3,+∞[
D: ]-∞,-1]
So, the answer to this question is option C, but I don't know why. Can anyone explain it to me?
Answer:
see explanation
Step-by-step explanation:
the codomain are the values of f(x) from the y- coordinate of the vertex upwards.
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
[tex]x_{V}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = 2x² + 4x - 1 ← is in standard form
with a = 2 and b = 4 , then
[tex]x_{V}[/tex] = - [tex]\frac{4}{4}[/tex] = - 1
substitute x = - 1 into f(x) for y- coordinate of vertex
f(- 1) = 2(- 1)² + 4(- 1) - 1 = 2 - 4 - 1 = - 3
vertex = (- 1, - 3 )
since the coefficient of the x² term > 0 then the graph opens up U
then codomain is [ - 3, ∞ )
Find the area of the figure.
Area: __ m2
(Please help I am not good at area)
A rectangle has a length of k cm (where k is an integer) and width of k +3cm. the perimeter of this rectangle is less than 24cm.
form and solve an inequality and find the largest possible value of k.
Answer:
So our unknown width is X and the unknown length is X + 3. We know the perimeter is 2 times the length plus 2 times the width so let's set up that equation:
2 X + 2 (X+3) = 24
Now solve for X
2 X + 2 X + 6 = 24
4 X + 6 = 24
4 X = 18
X = 4.5 - this is the width
X + 3 = 4.5 + 3 = 7.5 - this is the length
Step-by-step explanation:
Latanya has a points card for a movie theater. She receives 60 rewards points just for signing up. She earns 9.5 points for each visit to the movie theater. She needs 117 points for a free movie ticket. How many visits must Latanya make to earn a free movie ticket?
Answer:
6 visits
Step-by-step explanation:
Here the involved variables should be :
⇒ y = total number of rewards points
⇒ x = number of visits to the movie theater
=============================================================
Given :
⇒ points earned on signing up = 60
⇒ points per visit = 9.5
⇒ total points required = 117
===============================================================
Making the equation :
⇒ y = mx + b
⇒ m = points earned per visit
⇒ b = points earned on signing up
===============================================================
Solving by substitution :
⇒ 117 = 9.5x + 60
⇒ 9.5x = 117 - 60
⇒ 9.5x = 57
⇒ x = 6 visits
If Latanya receives 60 rewards points just for signing up. She earns 9.5 points for each visit to the movie theater. She needs 117 points for a free movie ticket. Then 6 visits Latanya make to earn a free ticket.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that,
Latanya has 60 rewards points just for signing up.
For each visit to theatre she earns 9.5 points.
To get free ticket she has to have 117 points.
We need to find how many visits she has to do to get free ticket.
We use Linear equation to solve this
Let y = total number of rewards points
x = number of visits to the movie theater
m=Points for each visit
y=mx+b
117=9.5x+60
Subtract 60 on both sides
117-60=9.5x
57=9.5x
x=6
Hence she has to make 6 visits to earn a free ticket.
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In which data set is the mean equal to the median?
Answer:
The number in the middle
Answer:
the answer is the one fully in line like perfect like pyramid
Step-by-step explanation:
I took the test
Interest rate. Multiple choice
Answer:
A. 9.9%
Step-by-step explanation:
[tex] {e}^{14r} = 4[/tex]
[tex] ln(4) = 14r[/tex]
[tex]r = \frac{ ln(4) }{14} = .099 = 9.9\%[/tex]
64,000 ÷ 110
Estimate :
Quotient :
Remainder:
Answer:
640; 581 R 90; 90
Step-by-step explanation:
you can round 110 to 100
64000/100 is simply 640
then you do the real math
the quotient is 581 r 90
this means the remainder is 90
Find a formula for the nth term in this
arithmetic sequence:
a₁ = -7, a2 = -1, a3 = 5, a4 = 11,
-7+(n-1)6
-7 is the starting term
n is the term that you are looking for
6 is the common difference
The formula for the nth term in the arithmetic sequence is:
a(n) = 6n - 13
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
We are given the first four terms of an arithmetic sequence:
a₁ = -7, a₂ = -1, a₃ = 5, a₄ = 11
To find the formula for the nth term, we need to find the common difference (d) first.
We can do this by subtracting any two consecutive terms:
d = a₂ - a₁ = (-1) - (-7) = 6
Now we can use the formula for the nth term of an arithmetic sequence:
a(n) = a₁ + (n - 1)d
Substituting the values we found:
a(n) = (-7) + (n - 1)(6)
Simplifying:
a(n) = -7 + 6n - 6
a(n) = 6n - 13
Therefore,
The formula for the nth term in the arithmetic sequence is:
a(n) = 6n - 13
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A principal of $2900 is invested at 6% interest, compounded annually. How much will the investment be worth after 11 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$5,505
Step-by-step explanation:
Compound interest formula :
A = P (1 + r/n)^(nt)Solving after substituting the given values :
A = (2,900)(1 + 0.06/1)¹¹A = (2,900)(1.06)¹¹A = (2,900)(1.89829856)A = $5,505 (nearest dollar)
I need the answer urgently please !!
Answer:
y = 2x - 1
Step-by-step explanation:
Given equation:
y = 2(x + 1)
y = 2x + 2
slope = 2
y = mx + b
y = 2x + b
Point: (2/3, 1/3)
1/3 = 2(2/3) + b
1/3 = 4/3 + b
b = -3/3
b = -1
y = 2x - 1
What is the value of x?
Type your answer in the box.
X =
Step-by-step explanation:
estimation of 6$+_+_?_!(_
Hello, help me please with explanation)
Answer:
t^v=w
Step-by-step explanation:
if y=b^x then x=logbY
b= base
for example:
log2(8)=3
2^3=8
Pls help me and show work! Thank you <3
Answer: 6
Step-by-step explanation:
If the lines are parallel, then this means that by the corresponding angles theorem, the two angles marked in the image are congruent.
If we consider the right triangle, then by the exterior angle theorem, [tex]4x+90=11x-8 \longrightarrow x=14[/tex].
So, if [tex]x=14[/tex], then the indicated angle measures [tex]56^{\circ}[/tex], and since vertical angles are congruent, [tex]9y+2=56 \longrightarrow \boxed{y=6}[/tex]
Performance-enhancing drugs affect an individual by which of the following?
A. Decrease an athlete's muscle mass and endurance.
B. Are legal in some sports.
C. Decrease an athlete's performance and energy levels.
D. Give performers an unfair advantage.
find the area of the trapezoid 6.4m 5m 12m
Answer:
Hello, please send me which of these 3 numbers is the base or height. You can also just send me an image of this. I need this because the area can change based on which value is which. However, I will still tell you how to solve the problem.
The equation for finding the area of a trapezoid is A=((a+b)/2)*h. Now, you just have to plug in your values that were given to you.
