3. Write a word phrase using 10x(14+11)
Answer:
10 multiplied by the sum of 14 and 11
Step-by-step explanation:
\(.\)
Wendy's restaurant has been recognized for having the fastest average service time among fast food restaurants. In a benchmark study, Wendy's average service time of minutes was less than those of Burger King, Chick-fil-A, Krystal, McDonald's, Taco Bell, and Taco John's (QSR Magazine website, December ). Assume that the service time for Wendy's has an exponential distribution. Do not round intermediate calculations.a. What is the probability that a service time is less than or equal to minute (to 4 decimals)
Answer:
0.3935 = 39.35% probability that a service time is less than or equal to minute.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
\(f(x) = \mu e^{-\mu x}\)
In which \(\mu = \frac{1}{m}\) is the decay parameter.
The probability that x is lower or equal to a is given by:
\(P(X \leq x) = \int\limits^a_0 {f(x)} \, dx\)
Which has the following solution:
\(P(X \leq x) = 1 - e^{-\mu x}\)
The probability of finding a value higher than x is:
\(P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}\)
In this question:
The mean time for the service at Wendy's is not given, so i will use \(m = 2, \mu = \frac{1}{2} = 0.5\)
What is the probability that a service time is less than or equal to minute?
\(P(X \leq x) = 1 - e^{-\mu x}\)
\(P(X \leq 1) = 1 - e^{-0.5*1} = 0.3935\)
0.3935 = 39.35% probability that a service time is less than or equal to minute.
Given the graph below and the equation y = 4x, determine which function has the greatest rate of growth?
Answer:
Step-by-step explanation:
The equation has a slope of 4
The graph has a slope of 1
The equation has a greater rate of growth.
Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg
Answer:
Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :
144/2.2
=65.45
=70 kg
Plzz help mee I am timed
Answer:
A or D
Step-by-step explanation:
I cant totally remember, but a and d make sense. sorry, I learned about this in 6th
kenia spent 270$ on 6 chairs to find out how much she spent on each chair she did the following work in long division
Answer:
can u put the entire problem so i can help? :)
Step-by-step explanation:
Question:
Kenia spent 270$ on 6 chairs to find out how much she spent on each chair she did the following work in long division.
045
6 / 270
− 0
27
− 24
30
− 30
0
Did she do the problem correctly? Why or why not?
Multiple choice answers:
A. No, because there is a remainder of 0.
B. Yes, she worked the problem correctly.
C. No, because the first digit in the quotient should be 5, not 4.
D. No, because the problem should be 270 / 6.
Answer:
B. Yes, she worked the problem correctly.
200% of the amount is b min.
Answer:
Step-by-step explanation:
daddy
Answer:
b/2 min
Step-by-step explanation:
ASAP!!! Find the surface area of this net.
Answer:
240 cm
Step-by-step explanation:
18*12= 216
+
4*3*2= 24
216*24= 240
A direct variation includes the points (2,18) and (n,9). Find n?
The value of the n is 1
In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.
To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.
(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:
18 = k(2)
k = 18/2
k = 9
Now that we have found the value of k, we can use it to find n when y = 9:
9 = 9n
n = 1
Therefore, the value of n is 1.
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Determine the measure of x in the diagram below:
x = °
The measure of angle x on the straight line is 130 degrees.
What is the measure of angle x?The sum of interior angles in a triangle equals 180 degrees.
To determine the value of x, we first determine its suplemetary angle x .
Hence:
40 + 90 + ( suplemetary angle of x ) = 180
Solve for the suplementary angle:
130 + ( suplemetary angle of x ) = 180
Suplementary angle of x = 180 - 130
Suplemetary angle of x = 50 degree
Now, we can find the measure of angle x.
Note that, sum of angles on a straight line equals 180 degree.
Hence:
x + ( suplemetary angle of x ) = 180
x + 50 = 180
Solve for x
x = 180 - 50
x = 130 degrees.
Therefore, the value of x is 130 degrees.
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PLEASE HELP (WILL GIVE BRAINLIEST)
Answer:
\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)
V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters
The closest answer is 1,001.73 square meters.
Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.
(please also show an step by step process of getting EAF!)
Answer:
x = 27 , ∠ EAF = 27°
Step-by-step explanation:
∠ GAF = 90° , then
∠ GAC + ∠ CAF = ∠ GAF , that is
x + 63 = 90 ( subtract 63 from both sides )
x = 27
∠ DAE = 90°
since CD is a straight angle of 180° , then
∠ CAE = 90° , so
∠ CAF + ∠ EAF = ∠ CAE , that is
63° + ∠ EAF = 90° ( subtract 63° from both sides )
∠ EAF = 27°
Put these numbers in order from least to greatest.
-60/64, -3, 65/80, 6/32
Box measures 32 inches long, 6 inches wide and 8 inches high. What is the diagonal length
of the box?
Answer:
\(2\sqrt{281}\) inches
Step-by-step explanation:
Using the 3D Pythagorean theorem, the diagonal has length \(\sqrt{32^2+6^2+8^2}=2\sqrt{281}\) inches.
Can someone please help me with this and thank you:)
Answer:
B
Step-by-step explanation:
A is not correct because 1 does not equal 1/4 +1/4.
B is correct because 1/4*1 does equal 1/5. (and all the other ones)
C is not correct because 1 does not equal 1/4*1/4
D is not correct because 1/4 does not equal 1-1/4
Answer:
B
Step-by-step explanation:
Jamie can paint a wall in 54 minutes Together Connie and Jamie can paint the same wall in 36 minutes How long would it take Connie to paint the same wall by herself
Answer:
The answer is 108
Step-by-step explanation:
I did this for my exam got 100
Together they can paint 5/108 of a wall in 1 minute. So they can paint the entire wall in 108 minutes.
We have given that,
John can paint 1/54 of a wall in 1 minute.
James can paint 1/36 of a wall in 1 minute.
What is the formula for total wall paint in one minute?Total wall paint of both in one minute is calculated by adding the both the paint in one minute it gives us the total paint in one minute
Therefore ,total wall paint in one minute =1/54 + 1/36
So if they work together, they can both paint 1/54 + 1/36 of a wall in 1 minute.
1/54 + 1/36 = 2/108 + 3/108 = 5/108 = 0.04629.
Therefore,together they can paint 5/108 of a wall in 1 minute. So they can paint the entire wall in 108 minutes.
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Which equation is represented by the graph below?
A. Y= 1/8e^x
B. Y= 1/2e^x
c. Y=2e^x
D. Y= 8e^x
#49
Answer:
B
Step-by-step explanation:
When x = 1, it appears y is in between 1 and 2.
The only choice that satisfies this is B.
Answer:
The equation that represents the graph is y=2e^x
Step-by-step explanation:
plug in geogebra and confirm:D
Which value is a solution of the inequality 9 >_ 1/2x
18
20
24
36
If you buy 10 pounds of lettuce for $70, what is the rate which one pound of lettuce costs?
Answer:
$7/lb
Step-by-step explanation:
$70 / 10 lb = $7/lb
Answer:
$7 per pound of letuce
Step-by-step explanation:
We know
10 pounds = $70
1 pounds = ?
We cross multiply and get:
$7 per pound of letuce
So, the answer is $7 per pound of letuce
If f(x - 1) = 2x + 3 for all values of x, what is the
value of f(-3)?
Answer:
-1
Step-by-step explanation:
F(x - 1) = 2x + 3.
Rewrite the right side (2x + 3)
F(x - 1) = 2[ x ] + 3
F(x - 1) = 2[ x - 1 + 1 ] + 3 = 2 [ (x - 1) + 1 ] + 3
= 2 (x - 1) + 2 + 3
= 2(x - 1) + 5
replace "x - 1" with "-3" :
F(-3) = 2(-3) + 5 = -1
It is 3 miles from Belle's house to Rosa's house and a straight-line distance of 5 miles from Cora's house to Rosa's house. How far is Belle's house from Cora's house?
Belle's house is approximately 5.83 miles away from Cora's house.
What is a Pythagoras Theorem?
The Pythagorean theorem is a fundamental concept in mathematics, named after the ancient Greek mathematician Pythagoras. The theorem states that in any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as an equation: \(c^2 = a^2 + b^2\), where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
We can use the Pythagorean theorem to solve this problem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
We can consider this problem as two right triangles with Rosa's house being the common point, and therefore the right angle.
Let x be the distance between Belle's house and Cora's house.
So, we can set up the equation as:
x^2 = 3^2 + (5)^2
x = sqrt(3^2 + (5)^2)
x = sqrt(9 + 25)
x = sqrt(34)
x = approximately 5.83 miles.
Hence, Belle's house is approximately 5.83 miles away from Cora's house.
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Clarence made a block of scented soap which weighed 2/3 of a pound. He divided the soap into 2
equal pieces. How much did each piece of soap weigh?
Three sets of two-thirds can be created since each whole produces a two-thirds and one half of another two-thirds.
How much the each piece of soap weigh ?The number 0.666 is 2/3 in decimal notation.Consequently, there are a total of 5 components to distribute. (2+3=5) Consequently, you divide the value you want to share by five.Consequently, there are a total of 5 components to distribute. 2 + 3 = 5, therefore you divide the value you want to distribute by 5.
The two most frequent splits are 2-for-1 and 3-for-1, meaning that a stockholder receives two or three shares, respectively, for each share they currently own. When a corporation divides the number of shares that stockholders own, the market price rises in proportion.
Sixteen twenty-fourths (16/24) is a fraction that is equal to two thirds (2/3).
He cut the soap into two equal pieces, making it weigh 0.333333333 pounds.
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Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
¿por qué es importante la escritura
correcta de los números en los
registros contables?
Writing numbers correctly in accounting records is essential for accuracy, compliance and the prevention of human error.
It is important to write numbers correctly in accounting records in order to ensure accuracy when recording, tracking and analysing financial data. When numbers are written incorrectly, the accuracy of the data can be compromised, leading to incorrect calculations and financial analyses. Writing numbers correctly also helps to eliminate human error, which is important when dealing with finances. In addition, writing numbers correctly helps to ensure regulatory compliance, as incorrect numbers can lead to reporting errors that can result in penalties or other legal repercussions.Good accounting practices require that numbers be written in the correct numerical format. This means that numbers should be written in the standard format, using symbols such as commas and decimal points to indicate thousands and tenths. For example, if a total amount is $1,450.50, the correct way to write it would be 1,450.50. Writing it as 1450.50 or 1.450,50 would be incorrect. In conclusion, writing numbers correctly in accounting records is essential for accuracy, compliance and the prevention of human error. It is important to use the correct numerical format and symbols to ensure that numbers are written correctly in accounting records.
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Why is it important to correctly write the numbers in accounting records?
1.
Which inequality represents the expression 9 is less than or equal
to b?
Answer:
Step-by-step explanation:
9 ≤ b
( I think unless it faces the other side...if wrong then I'm sorry)
11. You want to save all the money you earn to buy a guitar that costs $400. You earn $9 per hour and
plan to work 15 hours each week for the next 3 weeks. Will you earn enough money in that time to buy
the guitar? Explain your answer.
Answer:
The answer is YES
Step-by-step explanation:
You want to save all the money you earn to buy a guitar that costs $400. You earn $9 per hour and
plan to work 15 hours each week for the next 3 weeks. Will you earn enough money in that time to buy
the guitar? Explain your answer.
15 hours × 3 weeks × $9 per hour
15 × 3 × 9 =
45 × 9 = 405$
The answer is YES
Lauren visits the park every 4 days and goes to the library every 10 days. If Lauren does both of these today, how many days will pass before Lauren gets to do them both on the same day again?
A.20 days
B. 14 days
C. 6 days
D. 40 days
Answer:
20 days
Step-by-step explanation:
Classify the polynomial by degree and number of terms: 3x ^ 4 - 3x ^ 2 - 7x
Cubic Binomial
Quintic Trinomial
Cubic Trinomial
Quartic Trinomial
The polynomial 3x^4 - 3x^2 - 7x is classified as a Cubic Trinomial.
The polynomial 3x^4 - 3x^2 - 7x can be classified as a Cubic Trinomial.
Here's the breakdown of the classification:
Degree: The highest power of the variable x is 4, so the degree of the polynomial is 4. Since the degree is 4, the polynomial is not cubic (which would have a degree of 3) or quintic (which would have a degree of 5).
Number of terms: The polynomial consists of three terms: 3x^4, -3x^2, and -7x. A polynomial with three terms is called a trinomial.
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Answer:Quartic trinomial
Step-by-step explanation:
Don't listen to the other guy, I put cubic and I got the answer wrong thanks to the other guy.
in an experiment to learn whether substance m can help restore memory, the brains of 20 rats were treated to damage their memories. first, the rats were trained to run a maze. after a day, 10 rats (determined at random) were given substance m and 7 of them succeeded in the maze. only 2 of the 10 control rats were successful. the two-sample z test for the difference in the true proportions. Gives z= 2.25, P< 0.02
The z-value obtained from the test was 2.25, and the p-value was less than 0.02.
What is probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.
This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).
In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.
Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.
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A phone manufacturer offers its customers two different versions of the same phone. The low storage version costs $350, and the high storage version costs $450. let X represent the manufacturer's income on a randomly chosen purchase of this phone. Based on previous data, here's the probability distribution of X along with summary statistics:
Low capacity High capacity
х income ($) 350 450
P(X) 0.65 0.35
Mean: μx=$385
Standard deviation: σx= $48
The manufacturer is considering a $25 price increase on both versions of the phone. Assume that this increase will not change the probability that corresponds to each version. Let Y represent their income on a randomly chosen purchase of this higher priced phone. What are the mean and standard deviation of Y?
Answer:
Mean = $410
Standard deviation = $48
Step-by-step explanation:
From the given information:
Low capacity High capacity
Y income ($) 350 + 25 450 + 25
= 375 = 475
P(Y) 0.65 0.35
\(U_Y = (375 \times 0.65) + (475 \times 0.35)\)
\(U_Y = 243.75 + 166.25\)
\(\mathbf{U_Y = 410}\)
\(Var _{(Y)} = E(Y^2) - E(Y)^2\)
\(Var _{(Y)} = \Big [(375)^2 \times 0.65 + (475)^2 \times 0.35 \Big ]- (410)^2\)
\(Var _{(Y)} =170375 - 168100\)
\(Var _{(Y)} = 2275\)
\(\sigma _Y = \sqrt{Var _{(Y)}}\)
\(\sigma _Y = \sqrt{2275}\)
\(\mathbf{\sigma _Y \simeq 48}\)
This question is based on the concept of statistics. Therefore, the mean of Y is \(U_y\) = 410 and the standard deviation of Y is \(\sigma_{(Y)}\) =48.
Given:
Low capacity = $350
High capacity = $450
P(X) of low capacity = 0.65
P(X) of high capacity = 0.35
Mean: μx=$385
Standard deviation: σ(x)= $48
We need to calculate the the mean and standard deviation of Y (Y represent their income on a randomly chosen purchase of this higher priced phone).
According to the question,
From the given information, it is observe that,
Low capacity High capacity
Y income ($) 350 + 25 450 + 25
= 375 = 475
P(Y) 0.65 0.35
Now, calculate the mean of Y,
\(U_y = (375 \times 0.65) + ( 475 \times 0.35)\\U_y = 243.75 + 166.25\\\bold{U_y = 410}\)
Now, calculate the variance of Y,
\(Var_{(Y)} = E( Y^2) - E ( Y) ^2\\\\Var_{(Y)} = [(375)^2 \times 0.65 + (475)^2 \times 0.35] - (410)^2\\\\Var_{(Y)} = 170375 - 168100\\\\Var_{(Y)} = 2275\\\)
Calculating the standard deviation of Y,
\(\sigma_{(Y)} = \sqrt{Var_{(Y)}} \\\\\sigma_{(Y)} = \sqrt{2275} \\\\\sigma_{(Y)} = 47.6 \approx 48\)
Therefore, the mean of Y is \(U_y\) = 410 and the standard deviation of Y is \(\sigma_{(Y)}\) =48.
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