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.
Is the relation a function.
X Y
-2 2
-1 1
0 4
1 3
0 2
Select one:
No
Yes
Answer:
no its not a function
Step-by-step explanation:
the x-int. repeats its self
please help me!! no links<3
How much money would you have if you invested $2500 at 5.75% annual interest, compounded quarterly for 5 years
Answer:
[tex]A\simeq3325.91[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $2500
[tex]r = 5.75\% = \frac{5.75\%}{100\%}=0.0575[/tex]
t = 5
n = 4 (quarterly in a year)
Then,
[tex]A=2500(1+\frac{0.0575}{4} )^{(4)(5)}\\\\A=2500(1+\frac{0.0575}{4} )^{20}\\\\A=3325.911985\\\\A\simeq3325.91[/tex]
Sophia started a lawn mowing business and charges a flat fee of $5.00 plus $3.50 per hour.
Sophia made $29.50. Which equation can be used to calculate the number of hours, h, that Sofia worked?
Answer:
5 + 3.5h = 29.50
Step-by-step explanation:
The flat fee means that you will be paid the money with no change to it.
So you will not multiply it.
3.5h means that you are adding 3.50 every hour according to the question
So summary:
5+3.5h = 29.50
Evaluation:
5+3.5h = 29.50
24.50 = 3.5h
h = 7
Sofia worked 7 hours
If my answer is incorrect, pls correct me!
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-Chetan K
Write the equation 8x-2y=10 in slope intercept form.
Answer:
[tex]y=4x-5[/tex]
Step-by-step explanation:
Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:
[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]
Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches
The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.
To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.
In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:
diagonal = √(side^2 + side^2 + side^2)
Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:
diagonal = √(7^2 + 7^2 + 7^2)
diagonal = √(49 + 49 + 49)
diagonal = √147
diagonal ≈ 12.124 inches
Therefore, the correct answer is:
12 inches
This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.
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Element X decays radioactively with a half life of 11 minutes. If there are 790 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 40 grams?
Answer:
47.34158
rounded to the nearest tenth of a minute: 47.3
What is 3х? ?????????????????????????????
Answer:
3x means you have three x's. Then 3x - x means you have three x's and you take away (subtract) one x. This would leave you with two x's.
PLEASE HELP ME PLEASE!!!!
Answer:
45\
Step-by-step explanation:
it will be 8 units
hope it helps
Robert bought a house with a 6 percent interest rate. Three months later, the rate dropped to 4.35 percent. Robert was frustrated that he bought his house at the wrong time. What type of risk does this BEST demonstrate? A. Income risk B. Interest rate risk C. Personal risk D. Inflation risk
Answer:
b
Step-by-step explanation:
Interest rate risk is the risk that a fall in interest rate would decrease the value of a fixed rate investment. e.g. bonds , real estate.
Interest rate dropped 3 months after the house was bought. Robert is facing interest rate risk
Income risk is the risk that the stream of income received from a particular investment would drop as a result of a fall in interest rate.
Inflation risk is the risk that inflation would decrease the value of an investment
Answer:
b
Step-by-step explanation:
Can anyone please solve this question?? Its very important
Answer:17(milk):13(water)
Step-by-step explanation:milk is denser then water so its the bigger potion based on the picture, and u add all 3 cups of milk together and do the same for the water, again sorry if I am wrong
find the slope of the line going through the points (2,-3) and (-1,15) in the simplest form
Answer:
y=-2x
Step-by-step explanation:
You could find the slope of line going through the points (2,-4) and (-1,2). It is
slope is -6/3 or -2
So the line is
Now plug in one of the points and the slope into point slope form and find the line
y+4=-2(x-2) or
y+4=-2x+4 so
y=-2x
Check it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.
-4=-2(2)
2=-2(-1)
Sam built a fence that was 54 feet 54 feet54, start text, space, f, e, e, t, end text long. She built the same length of fence each day for 6 66 days.
Answer:
Inches of fence Sam built each day = 108 inches per day
Step-by-step explanation:
Sam built a fence that was 54 feet long. She built the same length of fence each day for 6 days.
How many inches of fence did Sam build each day?
Total length of fence Sam built = 54 feet
How many inches of fence did Sam build each day?
Number of days = 6
Convert 54 feet to inches
1 feet = 12 inches
54 feet = 648 inches
Inches of fence Sam built each day = Total inches of fence built / number of days
= 648 inches / 6 days
= 108 inches per day
Inches of fence Sam built each day = 108 inches per day
Misty wants to save money to purchase a new bicycle that cost $279 she opens a savings account and deposit $7 per week based on this information which of the following is a reasonable conclusion
Answer:
25$
Step-by-step explanation:
i had this assignment before
Answer:
what are the answer choices and if 40 is an option then choose that!
Step-by-step explanation:
279/7= 39.85...
x= 40 (since you round) days
The volume of a right square prism is 588 cubic centimeters and its height is 12 cm. What is the length of each side of the base
Answer:
7cm
Step-by-step explanation:
588 / 12 = 49
[tex]\sqrt{49}[/tex] = 7 * Since 7 times 7 equals 49
At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 5 48 22. 8 12. 5 What is the probability that a customer ordered a large given that he or she ordered a hot drink? Rounded to the nearest percent, [ ? ]%
Answer: 29%
Step-by-step explanation:
This is correct on acellus :)
The probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .
What is Probability ?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.
The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Probability Formula = f/n
where,
f is the number of times an event occurs
n is the total number of trials
The probability is represented as:
P(Large | Hot)
This is calculated using:
P(Large | Hot) = n(Large and hot)/n(hot)
Using the data on the given table, we have:
P(Large | Hot) = 22/(8 + 12 + 5)
P(Large | Hot) = 0.88
In percentage
P(Large | Hot) = 88%
Hence, the probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .
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PLEASE I NEED HELP! I WILL GIVE BRAINLIEST IF YOUR ANSWER IS CLEAR!!!!! ALSO NO LINKS PLEASE!
Answer:
1. How many packages are delivered each hour.
2. Find the correlating variable on the graph.
3. 105 packages
4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.
If the diameter of a circle is 20 cm, what is the area? 10π cm2 20π cm2 50π cm2 100π cm2
Answer:
Half of 20 is 10(new radius)
10^2(radius being squared) = 100
Next step is to multiply by pi
100π cm2
Step-by-step explanation:
Formula of area of a circle:
πr^2
pi x radius squared
A man is filling an empty 5-gallon bucket with water at a constant rate. There are
2.4 gallons of water in the bucket after filling the bucket for 12 minutes. At what
rate, in gallons per minute, is the man filling the bucket?
Answer:
12 / 2.4 = 5
Step-by-step explanation:
So the man is filling the bucket at 5 gallons per minute.
Dont trust me I just did the math and that is what I got....
Sorry if it's wrong
what is the area of the trapezoid
Answer:
A=2132
Step-by-step explanation:
Solution
A=a+b/ 2h=44+8/ 2·82=2132
Which rays form the sides of
Answer:
(E KL),(F,LK)
Step-by-step explanation:
I don't know how to explain it sorry but the answer is right
The two rays are LM→ & LK→ form the angle ∠KLM
What is an angle?
In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
So, here, the rays LM-> & LK-> form the angle ∠KLM.
Hence, The two rays are C. LM→ & F. LK→ form the angle ∠KLM.
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12, 15, 18, ...
Find the 32nd term.
what is -7 + 1/3?
10 points pls answer
Answer:
-6 2/3
Step-by-step explanation:
Choose the congruence theorem that you
would use to prove the triangles congruent.
AAS
ASA
SSS
SAS
Answer :
ASA
ASA stands for “Angle, Side, Angle”. ASA refers to any two angles and the included side.
When Mayerlin goes bowling, her scores are normally distributed with a mean of 175 and a standard deviation of 13. Using the empirical rule, what percentage of the games that Mayerlin bowls does she score between 162 and 188?
Answer:
68%
Step-by-step explanation:
The Empirical rule formula is given as:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Where
μ is the population mean
σ is the population standard deviation.
Step 1
Find the number of standard deviations from the mean
μ - xσ and μ + xσ
μ = 175
σ = 13
For 162
175 - 13x = 162
175 - 162 = 13x
13 = 13x
x = 13/13
x = 1
For 188
175 + 13x = 188
13x = 188 - 175
13x = 13
x = 13/13
x = 1
Hence, the data falls with 1 standard deviation of the mean
Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%
Answer:
The answer is 68%
Step-by-step explanation:
-3×1/4-6 please help im losing my mind
Answer:
-45/4 or -11.25
I'm pretty sure this is right hope it helps
Answer:
Simplify the expression:
Exact form:
-27/4
Decimal form:
-6.75
Mixed number:
-6 3/4
Step-by-step explanation:
The / actually means to divided.
I need help please no links!
Answer:
It will be 8 meters long.
[tex]l = \sqrt{ {17}^{2} - {15}^{2} } \\ l = \sqrt{64} \\ l = 8 \: m[/tex]
(-5,1) (4,4) slope=
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Use the slope formula:
slope [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex][tex]\frac{1}{3}[/tex]
Let:
[tex](x_1 , y_1) = (-5 , 1)\\(x_2 , y_2) = (4 , 4)\\[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{4 - 1}{4 - (-5)} = \frac{3}{4 + 5} = \frac{3}{9}[/tex]
Simplify the fraction. Divide common factors from both the numerator and denominator:
[tex]\frac{(\frac{3}{9} )}{\frac{3}{3} } = \frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] is your answer.
~
Answer:
1/3Step-by-step explanation:
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Y₂= 4
Y₁=1
X₂= 4
X₁= (-5)
Solve.
4-1/4-(-5)
4-1=3
4+5=9
=3/9
Divide.
3/3=1
9/3=3
=1/3
[tex]\large\boxed{\dfrac{1}{3}}[/tex]
Therefore, the slope is 1/3.
Find y
X
45degrees
Y
7
I NEED HELP ASAP
Answer:
[tex]x=7\sqrt{2}\\y=7[/tex]
Step-by-step explanation:
Find the last angle of the triangle.
The sum of all the angles in a triangle is 180 degrees.
Y+90+45=180
Y = 45
Find x:
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin(B)=opp/hyp
rewrite as
x=7/Sin(45)
x = 7squareroot 2
Find the last side of the triangle using the Pythagorean theorem.
y=√(7√2)^2−(7)^2
y=7
what is the area of the truck?
Answer:
yes because the truck is smaller than the parking space. the area is 66.25 sq. ft
Step-by-step explanation: