If charlene brewster has times of 8.4, 8.6, 8.3, 8.5, 8.7 ans 8.5 and a performance rating of 110% percent, what is the normal time for this operation? is she faster or slower then normal?

Answers

Answer 1
First we define Charlene's the average time, which is (8.4 + 8.6 + 8.3 + 8.5 + 8.7 + 8.5)/6 = 8.5. Normal time is 8.5/1.1 = 7.7. Charlene is faster than normal.
Answer 2
Final answer:

The normal time for this operation is approximately 8.333 seconds. Charlene Brewster is performing at a similar speed to the average for this operation.

Explanation:

The question provides the lap times for Charlene Brewster as 8.4, 8.6, 8.3, 8.5, 8.7, and 8.5, with a performance rating of 110%. To find the normal time for this operation, we can calculate the average of the lap times. Adding all the lap times together and dividing by the number of laps, we get (8.4 + 8.6 + 8.3 + 8.5 + 8.7 + 8.5) / 6 = 50 / 6 = 8.333. Therefore, the normal time for this operation is approximately 8.333 seconds.

Comparing the normal time to Charlene's lap times, we see that her lap times are relatively close to the normal time. This indicates that she is performing at a similar speed to the average for this operation.


Related Questions

Question25 warmliquid corp., a manufacturer of water heaters, produces 30 water heaters per week. past records indicate that 10% of total water heaters produced in a week are likely to be defective. suppose a quality check was conducted on a sample of six water heaters. what is the probability that four out of six water heaters will be defective?​

Answers

To solve this problem, we use the binomial probability equation.

P = [n! / (n – r)! r!] p^r q^(n – r)

 

where,

n is the total number of samples = 6

r is the number of defective = 4

p is the probability it will be defective = 0.10

q is the probability it wont be = 0.90

 

P = [6! / (6 – 4)! 4!] (0.10)^4 * (0.90)^(6 – 4)

P = 1.215 x 10^-3 = 0.1215%

 

The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x. What is the constant of variation? What is the equation representing the direct variation?

Answers

Answer:

Part 1) The constant of variation is [tex]k=1/9[/tex]

part 2) The equation is [tex]y=\frac{1}{9}x[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

Let

x -----> the number of square feet

y ----->  the number of square yards

Three square yards are equivalent to 27 square feet

so

we have the point (27,3)

Part 1) What is the constant of variation?

The constant of variation or proportionality is equal to

[tex]k=y/x[/tex]

substitute the values

[tex]k=3/27[/tex]

Simplify

[tex]k=1/9[/tex]

Part 2) What is the equation representing the direct variation?

we know that

[tex]y=kx[/tex]

substitute the value of k

[tex]y=\frac{1}{9}x[/tex]

This equation shows that the number of square yards (y) is directly proportional to the number of square feet (x) with a constant of variation equal to 1/9.

In direct variation, the relationship between two variables can be represented by the formula:

y = kx

Where:

- y represents one variable (in this case, the number of square yards).

- x represents the other variable (in this case, the number of square feet).

- k is the constant of variation, which remains the same for all data points in the direct variation.

In this specific case, you've mentioned that 3 square yards are equivalent to 27 square feet. You can use this information to find the constant of variation (k). You can choose one of the data points to solve for k. Let's use the point (3, 27):

3 = k * 27

Now, solve for k:

k = 3 / 27

k = 1 / 9

So, the constant of variation (k) is 1/9. The equation representing the direct variation is:

y = (1/9)x

This equation shows that the number of square yards (y) is directly proportional to the number of square feet (x) with a constant of variation equal to 1/9.

Learn more about proportionality here

https://brainly.com/question/15065328

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clay is reading a map to decide his vacation route. The map has a scale of 1cm equals 18miles. If he estimates the length of his vacation route on a map is 14 centimeters what is the length in miles

Answers

The scale is 1 cm equals 18 miles.
If a distance on the map is 14 cm, it is 14 times larger than 1 cm.
That means the real distance is 14 times larger than 18 miles.
What is 14 * 18 miles?

Using the map scale of 1cm equals 18 miles, the actual length of Clay's vacation route is calculated as 252 miles by multiplying 14 centimeters (the length on the map) by 18 miles (the scale conversion factor).

Clay is using a map scale to plan his vacation route. The scale of the map is given as 1cm equals 18 miles. To calculate the actual length of Clay's vacation route in miles, we can set up a simple proportion. Since 1cm on the map represents 18 miles in reality, we multiply the length on the map, which is 14 centimeters, by 18 to find out how many miles this length represents:

Length in miles = 14 cm * 18 miles/cm

After performing the multiplication, we get:

Length in miles = 252 miles

Therefore, Clay’s vacation route is 252 miles long according to the map's scale.

work out the value of: xy + 5 when x = 2 and y = -3

Answers

xy + 5

x = 2
y = -3

(2)(-3) + 5

-6 + 5 = -1

-1 is your answer

hope this helps
first you set it up

(2)(-3)+5
Next you do the parenthesis first so (2)(-3)= -6

-6+5 
Now you add it all up
-6+5=-1
And there is your answer -1

Which layer of the osi model is most directly impacted when an internet services provider is found to be blocking udp traffic from a source host?

Answers

Answer:

UDP- User Datagram protocol (UDP), is a part of internet protocol suite. It is basically present on the Transport layer of the "Internet Network Model"

Step-by-step explanation:

As the Transport layer  of the model, the UDP, SCTP and TCP's are present. Now originally in the TCP/IP model there are four layers:

Host-to-network layer,Network layer,Transport layer,And the Application layer.Now, as the blockage occurred is from source to host then the data flow through the channel on specific internet protocols will halt, so the Host-to-Network layer is been affected by this blockage.

The correct layer of the OSI model that is most directly impacted when an internet service provider (ISP) is found to be blocking UDP traffic from a source host is the Transport Layer.

The OSI model consists of seven layers, with the Transport Layer being the fourth layer. This layer is responsible for providing communication services directly to the application processes running on different hosts. The Transport Layer is where protocols like TCP (Transmission Control Protocol) and UDP (User Datagram Protocol) operate.

UDP (User Datagram Protocol) is a transport layer protocol that is used for sending messages (datagrams) in an internet protocol network. It is an alternative to the TCP protocol and is known for its simplicity and efficiency, particularly in cases where error checking and ordering are not necessary.

When an ISP blocks UDP traffic, it is directly interfering with the way the Transport Layer functions for applications that rely on UDP for data transmission. This action prevents UDP packets from being delivered to the intended destination, which can affect applications and services that use UDP for real-time data transmission, such as VoIP (Voice over Internet Protocol), online gaming, and streaming services.

The other layers of the OSI model are not directly impacted by the blocking of UDP traffic:

1. Physical Layer: Deals with the transmission and reception of the unstructured raw bit stream over a physical medium.

2. Data Link Layer: Responsible for node-to-node data transfer and error detection and handling.

3. Network Layer: Manages device addressing, tracks the location of devices on the network, and determines the best way to move data.

4. Transport Layer: Provides transparent transfer of data between end systems, or hosts, and is responsible for end-to-end error recovery and flow control.

5. Session Layer: Manages sessions between end-users, i.e., the opening, closing, and management of sessions between end-user applications.

6. Presentation Layer: Transforms data to provide a standard interface for the Application Layer. It is responsible for data encryption and decryption, as well as data compression.

7. Application Layer: Provides network services to the applications of the user, such as email, file transfer, and web browsing.

Since UDP operates at the Transport Layer, this is the layer most directly impacted by the ISP's decision to block UDP traffic.

Brooke bought all seven members of her family a chocolate bar at the chocolate factory in Hershey, Pennsylvania. Each chocolate bar was .8 ounces. How many ounces of chocolate did Brooke buy?

Answers

seven times 0.8 equals 5.6, so Brooke bought 5.6 ounces of chocolate
She bought 0.56 ounces of chocolate, or 3.5 pounds. I hope this helps! :)

Write down the value of 3 in 18.35

Answers

Final answer:

The value of 3 in the number 18.35 is in the tenths place, representing three tenths or 0.3.

Explanation:

The value of 3 in 18.35 is in the tenths place, which means it represents three tenths or 0.3 in decimal form. To understand the place value of digits in a decimal number, one must be aware that each position to the right of the decimal point indicates a fractional part of 10. In the number 18.35, the digit 3 is in the tenths place, the 5 is in the hundredths place, and the 1 and the 8 are in the ones and tens places, respectively, to the left of the decimal point.

The value of 3 in 18.35 is 0.03. When looking at a decimal number, each digit occupies a place value. The value of 3 in 18.35 is in the hundredths place. It represents 3 hundredths or 0.03.

is 2/3(x-4)=1/3(2x-6) a identity

Answers

It is a property. Distributive property but they only multiplied in 2 instead of the whole fraction of (2/3). That is why the (x-4) changed to (2x-6) and the fraction is no longer 2/3 but 1/3.

Dario increased his savings from $350 to $413. While Monica increased her savings from $225 to $270. Who had a higher percent of increased in savings. The difference in the percents of increase is

Answers

The percentage in increase can be calculated as follows:
% of increase = (difference between new and old amounts / old value) *100

For Dario:
difference in values = 413 - 350 = 63
% of increase = (63/350)*100 = 18%

For Monica:
difference in values = 270 - 225 = 45
% of increase = 20%

Therefore,
Monica has higher percent of increase.
The difference in percents = 20% - 18% = 2%

a cereal box contains 15 3/4 ounces of cereal. If a bowl holds 2 2/5 ounces of cereal how many bowls are in 1 box

Answers

Hello! So to solve this problem, we need to divide fractions. Convert the mixed numbers into improper fractions by multiplying the denominator by whole number and adding the numerator. The rule for dividing fractions is keep, change, flip. In other words, keep the first fraction the same, change division into multiplication, and flip the second fraction over. The problem will now look like this: 63/4 * 5/12. Multiply straight across. n * n / d * d. When you do that, you get 315/48 or 6 9/16 in mixed number form. There are 6 9/16 servings, which is enough to serve approx. 7 bowls if you don't mind having a partial servings. Otherwise, only 6 bowls will get all of the 2 2/5 ounces of cereal.

Which equation represents a linear function? A) y – 2 = –5(x – 2) B) x + 7 = –4(x + 8) C) y – 3 = y(x + 4) D) y + 9 = x(x – 1)

Answers

it's (A) y-2=-5(x-2)

i believe its the option A

Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are bad? Round your answer to the nearest number

Answers

The percentage of apples that are bad is 25%. This is because 25% of 24 is 6. I hope this helped! 

During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly normally distributed with a mean of $131.80 and a standard deviation of $29.12. a travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. what is the probability that their average cost will be more than $150

Answers

the probability that the average cost of nonsmoking rooms with a king-sized bed from 15 hotels in the area will be more than $150 is approximately 0.0081, or 0.81%.

To find the probability that the average cost of nonsmoking rooms with a king-sized bed from 15 hotels will be more than $150, we can use the Central Limit Theorem. Here's how:

1. Calculate the standard error of the mean (SEM) which is the standard deviation of the sample mean:

SEM = standard deviation / sqrt(sample size)

SEM = $29.12 / sqrt(15) ≈ $7.52

2. Calculate the z-score for a mean of $150:

z = (sample mean - population mean) / SEM

z = ($150 - $131.80) / $7.52 ≈ 2.41

3. Look up the z-score in the standard normal distribution table to find the probability associated with this z-score. The area to the right of a z-score of 2.41 gives us the probability that the average cost will be more than $150.

4. From the standard normal distribution table, a z-score of 2.41 corresponds to a probability of approximately 0.0081.

Therefore, the probability that the average cost of nonsmoking rooms with a king-sized bed from 15 hotels in the area will be more than $150 is approximately 0.0081, or 0.81%.

Find the largest odd number that divides the product of 16*24*60 evenly

Answers

odd = odd × odd

Prime factor
16*24*60
(4*4)(3*8)(6*10)
(2*2*2*2)(3*2*2*2)(3*2*5*2)

multiple all the odd prime factors together
3*3*5 = 45

Ella has 50 stacks of ten pennies in each stack. Describe how to find how many pennies ella has in all

Answers

To find how many pennies Ella has in all, just do 50 * 10. Cross the two zeros out and drop them as part of the answer. Then do 5 * 1 to get 5. When you do this, your answer is 500. Ella has 500 pennies in all.

the yeastie boys new album bread and the bank goes on sale next week they autographed 85% of 2000 copies before they were packaged to send how many albums were autographed

Answers

0.85 x 2000 = 1700 copies

Given

Yeastie boys new album bread and the bank goes on sale next week

They autographed 85% of 2000 copies

Find out  how many albums were autographed.

To proof

Total copies = 2000

autographed 85% of 2000 copies

First convert 85% in decimal form

= [tex]\frac{85}{100}[/tex]

= 0.85

Now find out 85% 0f 20000

= 0.85 × 2000

= 1700

The albums autographed were 1700.

Hence proved

Find the opposite of −8c3−10c2+6c+5

Answers

Final answer:

To find the opposite of the expression [tex]-8c^3-10c^2+6c+5[/tex], change the sign of each term to get  [tex]8c^3+10c^2-6c-5.[/tex].

Explanation:

The opposite of any algebraic expression is found by changing the sign of each term within the expression. To find the opposite of the expression  [tex]-8c^3-10c^2+6c+5[/tex], simply change the signs of each term:

The opposite of −[tex]8c^3[/tex] is [tex]8c^3[/tex]The opposite of −10[tex]c^2[/tex] is +10[tex]c^2[/tex]The opposite of +6c is −6cThe opposite of +5 is −5

Putting it all together, the opposite of the expression  [tex]-8c^3-10c^2+6c+5[/tex] is [tex]8c^3+10c^2-6c-5.[/tex]

In essence, each term in the original expression is multiplied by -1 to obtain its opposite. This operation changes all positive terms to negative and all negative terms to positive.

The concept of taking the opposite is fundamental in algebra and is often used in simplifying expressions, solving equations, and manipulating mathematical statements.

Find the tangent plane to z 2 = x 3 + 2xy + y 3 at x, y = 1, 1.

Answers

z=mx+b is the formula

Interest of $1,632 with principal of $16,000 for 306 days(ordinary interest) results in a rate of

Answers

$21,341.67 is the answer


A pair of parallel lines is cut by a transversal:

A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees.

What is the measure of angle x?

Answers

it is 45 degrees dude, really

Answer:

x = 45°

Step-by-step explanation:

It a transversal line intersect two parallel lines, then alternative interior angles are congruent.

From the below graph it is clear that the line m and n are two parallel lines and l is a transversal line.

[tex]\angle ABC\cong \angle BCD[/tex]          (Alternative interior angles)

[tex]m\angle ABC=m\angle BCD[/tex]          (Definition of congruent angles)

[tex]x+30^{\circ}=75^{\circ}[/tex]

Subtract 30° from both sides.

[tex]x+30^{\circ}-30^{\circ}=75^{\circ}-30^{\circ}[/tex]

[tex]x=45^{\circ}[/tex]

Therefore the measure of angle x is 45°.

What is 5 to the power of 2 +2 [73-(4x5)]

Answers

Answer:

[tex]5^2+2[73-(4\times 5)]=131[/tex]                  

Step-by-step explanation:

Given : Expression [tex]5^2+2[73-(4\times 5)][/tex]

To find : What is the solution of the expression ?

Solution :

Expression [tex]5^2+2[73-(4\times 5)][/tex]

Applying BODMAS,

We multiply the term,

[tex]=5^2+2[73-(20)][/tex]

Solve the bracket by subtraction,

[tex]=5^2+2[53][/tex]

Open the bracket and solve quadratic,

[tex]=25+106[/tex]

Add the terms,

[tex]=131[/tex]

Therefore, [tex]5^2+2[73-(4\times 5)]=131[/tex]

Mary runs 4 laps in 8 minutes.Nicole runs 12 laps in 18 minutes.Who runs the fastest?

Answers

4/8 is mary and it is 0.5
12/18 is nicole and it is .6666
mary runs faster
[tex] \frac{4}{8} = \frac{x}{1} [/tex]

4/8 or 1/2 laps per minute 

[tex] \frac{12}{18} = \frac{x}{1} [/tex]

12/18 or 2/3 laps per minute 

Nicole ran the fastest 

Medical researcher estimates that .00004 of the population has a rare blood disorder. if the researcher randomly selects 100,000 people from the population? appendix a statistical tables (round your answers to 4 decimal places.)
a. what is the probability that seven or more people will have the rare blood disorder?

Answers

To solve this problem, we make use of the binomial probability equation.

P = [n! / (n – r)! r!] p^r * q^(n – r)

 

where,

n is the total number of sample = 100,000

r is the number of people with rare blood disorder = 7 or more

p is success of having a disorder = 0.00004

q is 1- p = 0.99996

 

But since it is easier to solve for the sum of probabilities with 0 to 6 disorder then deduct it from 1.

So,

 

=> at r = 0

P (r = 0) = [100,000! / (100,000 – 0)! 0!] (0.00004)^0 * (0.99996)^(100,000 – 0)

P (r = 0) = 0.01831

 

=> at r = 1

P (r = 1) = [100,000! / (100,000 – 1)! 1!] (0.00004)^1 * (0.99996)^(100,000 – 1)

P (r = 1) = 0.07326

 

=> at r = 2

P (r = 2) = [100,000! / (100,000 – 2)! 2!] (0.00004)^2 * (0.99996)^(100,000 – 2)

P (r = 2) = 0.14652

 

=> at r = 3

P (r = 3) = [100,000! / (100,000 – 3)! 3!] (0.00004)^3 * (0.99996)^(100,000 – 3)

P (r = 3) = 0.19537

 

=> at r = 4

P (r = 4) = [100,000! / (100,000 – 4)! 4!] (0.00004)^4 * (0.99996)^(100,000 – 4)

P (r = 4) = 0.19537

 

=> at r = 5

P (r = 5) = [100,000! / (100,000 – 5)! 5!] (0.00004)^5 * (0.99996)^(100,000 – 5)

P (r = 5) = 0.15630

 

=> at r = 6

P (r = 6) = [100,000! / (100,000 – 6)! 6!] (0.00004)^6 * (0.99996)^(100,000 – 6)

P (r = 6) = 0.10420

 

So the total P is:

P (r = 0 to 6) = 0.01831 + 0.07326 + 0.14652 + 0.19537 + 0.19537 + 0.15630 + 0.10420

P (r = 0 to 6) = 0.88933

 

 

=> So the probability that 7 or more people will have the disease is:

P (r ≥ 7) = 1 - 0.88933

P (r ≥ 7) = 0.11067 = 11.067%

 

There is only 0.11067 or 11.067% probability that 7 or more will have the disorder.

Final answer:

To solve this problem, we can use the binomial probability formula. The probability of exactly x successes in n trials is given by the formula. In this case, the probability of success (p) is 0.00004, and the total number of trials (n) is 100,000. To find the probability that seven or more people will have the rare blood disorder, we need to calculate the sum of the probabilities for x = 7, 8, 9, ..., 100,000.

Explanation:

To solve this problem, we can use the binomial probability formula. The probability of exactly x successes in n trials is given by the formula:



P(x) = C(n, x) * p^x * (1 - p)^(n - x)



where:



P(x) is the probability of x successes

C(n, x) is the number of combinations of n trials and x successes

p is the probability of success in a single trial

n is the total number of trials



In this case, the probability of success (p) is 0.00004, and the total number of trials (n) is 100,000.


To find the probability that seven or more people will have the rare blood disorder, we need to calculate the sum of the probabilities for x = 7, 8, 9, ..., 100,000. This can be done using the binomial probability formula or statistical tables.

For every 6 hotdogs sold at the malt shop there are 7 hamburgers sold.What is the ratio of hotdogs sold to hamburgers sold?

Answers

The ratio is 6:7 (hotdogs sold: hamburgers sold)

Given the functions f(x) = −2x − 1 and g(x) = −3x + 4, which operation results in the smallest coefficient on the x term?

Answers

There are 3 different operations we can perform. Addition, Subtractions and Multiplication.

Subtraction
(−2x − 1) - (−3x + 4)
x - 5
x coefficient = 1

Addition: 
(−2x − 1) + (−3x + 4)
3 - 5x
x coefficient = -5

Multiplication:
x(6x - 5) -4
x coefficient = 6

-5 is the least so addition is the answer


It’s -3x because it’s the furthest away from zero on the number line.

24 loaves of bread cost 48 dollars how much does 10 loaves cost?

Answers

$20
One loaf costs 2 dollars- Multiply both sides of the ratio by 10 and you get 20 as ur answer.
24 is double 48 so 10 loves coast 20 dollars

a monkeys heart beat beats about 576 times in 3 minutes how many times does a minkeys heart beat in 1 minute

Answers

Divide 576 by 3 and that is your answer.

Complete the comparison: 5 + 4 = ?
    
  A. 5 − 4
  B. 10 + 0
  C. 9 + 1
  D. 14 − 5

Answers

D, they both equal 9
D 5+4=9 and 14-5=9 also

If 20 pounds of fertilizer will cover 1500 square feet of lawn, how many pounds are needed for 2500 square feet

Answers

2500/1500=1.67
20*1.67=33.4 pounds
the answer is 33.4 pounds

he ratio of girls to boys in Liza’s classroom is 55 to 44. How many girls are in her classroom if there is a total of 2727 students?

Answers

looks like the numbers doubles in the problem

 shouldn't it be 5 girls to 4 boys in a class total of 27??

5+4 =9

27/9=3

5*3 = 15

there are 15 girls in class

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