Answer:
0.11314
Step-by-step explanation:
The Long John Silver's restaurant parameters are;
The mean time spent at the window, μ = 59.3
The standard deviation, σ = 13.1
The time distribution is skewed right
The number of cars in the sample, n = 40 cars
The mean time spent at the window with the delivery system, [tex]\overline x[/tex] = 56.8 seconds
The Z-value for a mean time of 56.8 seconds is given as follows;
[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma }{\sqrt{n}}}[/tex]
Therefore, we get;
[tex]Z=\dfrac{56.8-59.3 }{\dfrac{13.1 }{\sqrt{40}}} \approx -1.20697620617[/tex]
Therefore, the z-value ≈ -1.21
From the normal probability table, we have;
P([tex]\overline X[/tex] ≤ 56.8) = P(Z < -1.21) = 0.11314
The probability of obtaining a sample mean of 56.8 second or less, assuming that the population mean is 59.3 seconds P([tex]\overline X[/tex] ≤ 56.8) = 0.11314.
If you have two six-sided die each labeled one through six. Which set of events has a higher probability?
A. You land on an odd number or you roll a 6.
B. You roll a 6 and roll a 4.
C. You roll a 3 and roll an odd number
D. You roll an odd number and roll a 5.
There are 60 boys in the third year, 24 of whom study chemistry. What percentage of third year boys study chemistry.
Answer:
40%
Step-by-step explanation:
24/60 = .4
Answer:
40%
Step-by-step explanation:
Divide the total by the amount possible.
What is the final selling price of a $150 phone with 230% markup and then 7% sales tax
Answer:
sorry i don't know
Answer:369.15
Step-by-step explanation:
A landscaper waters a lawn during the summer.
He wants to know how much water is being used
per minute. He records the amount of water used
in the table.
PLEASE NO LINK.
Answer:
Step-by-step explanation:
D bc yes
You deposit $400in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate?
Answer:
.5
Step-by-step explanation:
if you put 400 in an account and for nine months with 0.5 interest rate you would get 418.41 so 0.5 is the answer
In order for Tim to simplify the expression below, what step will he need to use for each variable's exponent? 6 x y^2 z^4 2 x^2 y^5 z A Divide the exponents B Multiply the exponents C Add the exponents D Subtract the exponents
Answer:
C. Add the exponents
Step-by-step explanation:
The given expression is presented as follows;
6·x·y²·z⁴·2·x²·y⁵·z
The expression can be rearranged by according to like terms as follows;
6·2·x·x²·y²·y⁵·z⁴·z = 3·2·2·x·x²·y²·y⁵·z⁴·z
By the law of indices, we add the exponents of the like terms to simplify the expression as follows;
3·2·2·x·x²·y²·y⁵·z⁴·z = 3·2⁽¹⁺¹⁾·x⁽²⁺¹⁾·y⁽⁵⁺²⁾·z⁽⁴⁺¹⁾ = 3·2²·x³·y⁷·z⁵
In order to simplify the expression the step Tim needs to use for each variable's exponent is to add the exponents.
which of the following will not have congruent diagonals
is 1/4 equivalent to 1/8? use the number lines below and the drop-down menus to explain your answer
Answer:
NO
Step-by-step explanation:
The left side 0.25 does not equal to the right side 0.125 , which means that the given statement is false.
Answer:
no because is you change 1/4 to have a common denominator of 8 it will be 2/8 which doesn't equal 1/8
hope this helps
have a good day :)
Step-by-step explanation:
Kerry wants to give each student in her class
of a small pizza for lunch. There are 30 students in her class.
How many whole pizzas does she need to buy for her class?
O A. 15
OB. 20
OC. 30
O D. 60
Answer:
I believe the answer is (A) 15.
Step-by-step explanation:
If she buys 15 pizzas and gives each student half a pizza, then that would be 30 halves. Meaning she needs to buy 15.
HELP ASAP!
Find the value of x. -1x + 72 = -3x + 84
Answer:
x=6
Step-by-step explanation:
First, add x to each side.
72=-2x+84
Subtract 84 from each side
-12=-2x
Dive each side by -2
6=x
Answer:
x=6
Step-by-step explanation:
-1x+72=-3x+84
+3x on both sides
2x+72=84
subtract 72 on both sides
2x=12
divide by 2 on both sides
x=6
To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
Given:
Angle A = 18.6°
Angle B = 93°
Length of side AB = 646 meters
To find:
the distance across the river, distance between BC
Steps:
Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.
18.6° + 93° + ∠C = 180°
111.6° + ∠C = 180°
∠C = 180° - 111.6°
∠C = 68.4°
Therefore the measure of angle C is 68.4°.
now we can use the law of Sines,
[tex]\frac{BC}{sinA}=\frac{AB}{SinC}[/tex]
[tex]\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}[/tex]
[tex]BC[sin(68.4)] = 646 [sin(18.6)][/tex]
[tex]BC = \frac{646*sin(18.6)}{sin(68.4)}[/tex]
[tex]BC = \frac{646 * 0.3190}{0.9298}[/tex]
[tex]BC = 221.63[/tex]
[tex]BC = 222[/tex] meters
Therefore, the distance across the river is 222 meters.
Happy to help :)
If anyone need more help, feel free to ask
I need help solving this question please :)
Answer:
um can you pleasee take a clearer picture thankyou I cant see the things inside the circle properly
Step-by-step explanation:
Solve the linear inequality below.
9x – 8 > 4x + 7
Answer:
Step-by-step explanation:
9x-4>4x+7
-4x
5x-4>7
+4
5x>11/5
x>2.2
Answer:
9x-4x>7+8
5x > 15
X >3
So the answer is x >3
in hiw many ways can the letters of the word AZUCARERA be arranged
Answer:
30240 arrangements
Step-by-step explanation:
9!/(2!×3!)
A local theater charges $7.50 for adult tickets and $5.00 for discount tickets. The theater needs to
make at least $240 to cover the rent of the building. If 20 discount tickets are sold, how many adult
tickets must be sold?
A-less than 10 tickets
B-15 adult tickets
C-at least 19 adults tickets
D-no more than 8 adult tickets
Answer:
C
Step-by-step explanation:
the theater sold 20 discount tickets=5*20=100$
the number of tickets for adult must be =140/7.5=18.7 ~19 tickets at least
Kamira's weekly salary is based on the number of pairs of shoes she sells. She is paid a base salary of $25, plus $5 for every pair of shoes she
sells. Which linear equation models this situation showing the relationship between her pay (p) and pairs of shoes (s) sold?
Answer: p= 5s + 25
Step-by-step explanation:
See if the two sides are congruent. If they are, state how you know.
Answer:
ASA
Step-by-step explanation:
The ASA (angle side angle) identity states that if 2 triangles share 2 angles and one side in between the angles with each other, they are congruent. Since that is the case here, it is the answer.
Answer:
ASA
Step-by-step explanation:
When you have 2 angles and a side, look and see if the side is between the 2 angles. What that means is that both angles share the one side.
If that happens, then the solution to congruence is ASA. I'd be very careful about using SSA. There are exceptions and you should not choose it if you have a choice. Sometimes it works and sometimes it does not.
if a dog weighs 55 pounds how many kilograms would it weigh
Answer:
24.9475803
Step-by-step explanation:
What is the coordinates of the focus for the following parabola -8(x-5)=(y+1)^2
By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)
How to locate the focus of a parabola
The standard equation of the parabola with an horizontal axis of symmetry is presented below:
[tex]x - h = \frac{1}{4\cdot p}\cdot (y - k)^{2}[/tex] (1)
Where:
h, k - Vertex of the parabola.p - Distance between the vertex and the focus.The coordinates of the focus is described by the following expression:
F(x, y) = (h + p, k)
If we know that h = 5, k = - 1 and p = - 2, then the coordinates of the focus are:
F(x, y) = (5 - 2, - 1)
F(x, y) = (3, - 1)
By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)
To learn more on parabolas: https://brainly.com/question/21685473
#SPJ1
What do. Rectangles have in common choose all the correct answers
Answer: rectangles all have two parralel sides and all they all have 4 right angles.
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]\frac{11\sqrt{2}}{2}}[/tex] or 5.5√2
Step-by-step explanation:
We can see that this is a 45-45-90 triangle
refer to the image below to see what that means
we can see that (in the image) 11=x√2
which means that x= 11/√2
to rationalize this fraction we mulitply both sides by √2 to get
[tex]\frac{11\sqrt{2}}{2}}[/tex] or 5.5√2
Answer:
Step-by-step explanation:
x = [tex]\frac{11\sqrt{2} }{2}[/tex]
The following statement tells one way to map preimage points to image points when performing a transformation in the coordinate plane. (x, y) → (x + 8, y − 3) This can be read, “The point with coordinates (x, y) is mapped to the point with coordinates (x, y) → (x + 8, y − 3).” With this transformaƟon, for example, (3, 5) is mapped to (3 + 8, 5 – 3) or (11, 2). The figure below shows how the triangle ABC is mapped to A′B′C′. Notice that the pre‐image and image appear to be congruent. Directions: Answer the following questions, showing all pertinent work. Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank. 1. Complete the transformation statement for moving Paul’s pole barn. (x, y)→(x + _______ , y + _______ )
Answer: What are the answers to your question?
Step-by-step explanation:
X, and Y they are both axis's so most likely you might be using a grid but the arn't showing so make a grid and find the coordinats
what is 1 2/3-(-5 2/3)?
PLEASE answer
10 POINTS
Answer:
Step-by-step explanation:
The answer is 7 1/3
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of
wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
The builder needs to cut
inches off the block of wood.
Answer: [tex]3.675\ in.[/tex]
Step-by-step explanation:
Given
Wood shrinks 5% over the period of time
The width of the gap is 3.5 inch
The length of the rectangular block is 5 inch
So, the builder cut the rectangular block 5% bigger to compensate for the shrinkage
Required length is
[tex]\Rightarrow 3.5+5\%\times 3.5\\\Rightarrow 3.5+0.05\times 3.5\\\Rightarrow 3.5[1+0.05]\\\Rightarrow 3.675\ in.[/tex]
An jet travels at a constant speed of 320 miles per hour. How far, in miles, will the jet travel in 15 minutes?
Answer:
80 miles
Step-by-step explanation:
15 minutes = 1/4 hour
distance = speed * time
d = 320 * 1/4
d = 80 miles
Three numbers multiplied together give an answer of -12. The sum of two of the numbers is zero. What could the three numbers be?
Calculate the exact value of
PLEASE HELP!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation of the piecewise function represented in the graph to its corresponding piece of the domain.
f(x) = 2 − x
f(x) = 3
f(x) = x
f(x) = 2
f(x) = 4
f(x) = 1
f(x) = -x
Domain Function Equation
0 < x ≤ 1 arrowRight
3 < x ≤ 4 arrowRight
2 < x ≤ 3 arrowRight
1 ≤ x ≤ 2 arrowRight
The domain and the corresponding functions are:
Function: f(x) = 3; Domain: 2 < x ≤ 3Function: f(x) = x; Domain: 1 ≤ x ≤ 2 Function: f(x) = 4; Domain: 3 < x ≤ 4Function: f(x) = 1; Domain: 0 < x ≤ 1What is domain?The domain of a function is the set of input values the function can take. This means that the domain is the x values of a function
Using the above definition of domain, the domain and the corresponding functions are:
Function: f(x) = 3; Domain: 2 < x ≤ 3Function: f(x) = x; Domain: 1 ≤ x ≤ 2 Function: f(x) = 4; Domain: 3 < x ≤ 4Function: f(x) = 1; Domain: 0 < x ≤ 1Read more about domains at:
https://brainly.com/question/11860069
#SPJ2
10 POINTS ONLY ANWSER IF YOU KNOW!!!
a.Function 1
b.Funtion 2
c.The functions have the same slope
Answer:
Function 1 has a greater slope
Step-by-step explanation:
Answer:
function 1 has a great slope
please help on a test!!!
Solve the system using inverse
matrices.
5x – 4y = 3
(2x + 3y = 38
Answer:(7, 8)
Step-by-step explanation: