Answer:
centre is (8, -5)
[tex]r = \sqrt{ {g}^{2} + {f}^{2} - c } \\ = \sqrt{64 + 25 - 80} \\ = \sqrt{9} \\ r = 3 \\ radius \: = \: 3 \: units[/tex]
The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average dollar amount spent at his competitor's store. At the end of the day, he reviews the amounts of the last 15 grocery orders. The amounts rounded to the nearest dollar are: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50 He then visits the store of his competitor and surveys the first 15 people leaving the store with groceries. The amounts he records, also rounded to the nearest dollar, are: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69 What is the average amount of money spent at each store to the nearest cent
Answer:
The average spent at his store is of $37.60.
The average spent at his competitor's store is of $48.53.
Step-by-step explanation:
Average of a data set:
The mean of a data set is the sum of all values divided by the number of values.
His store:
15 orders.
Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50
The average is:
[tex]M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6[/tex]
The average spent at his store is of $37.60.
Store of the competitor:
15 orders
Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69
The average is:
[tex]M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53[/tex]
The average spent at his competitor's store is of $48.53.
Answer:
a) Manager's store: mean = $37.60
Competitor's store: mean = $48.53
b) Manager's store has a mean that is a better representation of the data because the competitor's data has an outlier of $112.
Step-by-step explanation:
used this for my test and it was correct.
Please need help will give brainliest
H(6) =.
The number in parentheses is the x value it will be equal to the y value.
When x = 6 the blue line is at y = 8
H(6) = 8
(u + 4.5)(1.2) please help
‼️‼️‼️‼️‼️‼️
PLEASE HELP
FIRST ANSWER GETS BRAINLIEST
NO LINK NO LINKS OR BANNED
Answer: I beleive its B, C, and E
Step-by-step explanation:
HOpe this helps
D is going in the 4th quadrant. Please help
The sum of the digits of 1 874 (1 + 8 + 7 + 4) is equal to 20. How many natural numbers smaller than 10 000 have a sum of their digits equal to 34?
A. 8
B. 9
C. 12
D. 10
E. 11
ANSWER FAST AND NO FILES
The total of numbers smaller than 10,000 that have a sum of their digits equal to 34 is 8.
What numbers have a total sum of their digits equal to 34?Firstly, it is important to understand a number of at least 4 digits is required to have 34 by adding its digits. Now, from this principle find the possible numbers:
9997 = 349979= 349799 = 347999= 349988= 349898 = 348899 = 348989 = 34What is the total of numbers to get this result?The total numbers is 8.
Learn more about numbers in: https://brainly.com/question/17429689
What is the total Fatima paid?
Match the shape with the correct formula for finding the volume.
1. Cone
2. Cylinder
3. Triangular Prism
4. Rectangular Prism
5. Pyramid
━━━━━━━━━━━━━━━━━━━━━━
Formula for finding the volume of cone - ⅓πr2h
Formula for finding the volume of cylinder - πr2h
Formula for finding the volume of Triangular Prism - Bh
Formula for finding the volume of Rectangular Prism - lwh
Formula for finding the volume of Pyramid - ⅓Bh
━━━━━━━━━━━━━━━━━━━━━━
Answer:
Pyramid: 1/3 B x H Triangular: B x H Cone: 1/3 pi r^2 x H Rectangular Prism: L x W x H Cylinder: pi r^2 x H
Step-by-step explanation:
Need help. have been stuck for a while. If someone could help me with a few answers that would be great and very much appreciated!
Answer:
Hello again, my friend :3 here's your answer! sorry i was late, i was on my lunch break, haha.
2(cos 20º + i sin 20º)
2(cos 140º + i sin 140º)
2(cos 260º + i sin 260º)describe a set of Transformations that will move triangle A on the graph below to match up with triangle B
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Answer:
reflection over y = 2.5translation left 1Step-by-step explanation:
The orientation of the triangle is reversed, so a reflection is required. Horizontal lines remain horizontal, but up/down are reversed, so the reflection is across a horizontal line. The horizontal line that is halfway between each point and its image is the line y = 2.5.
The x-coordinates of the image points are 1 less than the x-coordinates of the original, so a left shift of 1 unit is involved.
The two transformations to get from A to B could be (in any order) ...
reflection over the line y = 2.5translation left 1 unit__
The transformation can be summarized by ...
(x, y) ⇒ (x -1, 5 -y)
can someone help me answer this?
Answer:
statement number 3
Step-by-step explanation:
modes are both 1
IK ANSWERS AREN’T CLEAR LOOK AT PHOTO!! HELP ASAP I WILL MARK BRAINIEST!
Answer:
a^2 b^7
Step-by-step explanation:
I believe this is right
PLEASE HELP ITS OVER DUE AND I NEED HELP PLEASE ILL GIVE BRAINLIEST TO CORRECT ANSWER. PLSSS ILL GIVE ALL MY POINTS IM DESPERATE
Answer:
i need to see all the answers but yeahStep-by-step explanation:
HELPPP
Suppose that you head an insurance company. Your most popular insurance policy has a premium of $600 and a deductible of $1,000. This insurance policy provides your state’s minimum coverage of $30,000 for injury or death to one person, $50,000 for injury or death to two or more people, and $10,000 for damage to property, which is called 30/50/10 coverage.
Assume that, on average, 2 of your 100 customers have an accident every year. One of the accidents causes damage to property and the other causes injury or death to one person. Both drivers file for the maximum claims. After paying the claims, will your company still profit from the premiums collected in a year? Explain your answer
Answer:
Yes they will profit $22,000
Step-by-step explanation:
First find total money:
100 customers * $600 premium
= $60,000
add deductibles ($1000) because they are paying for the accident:
=$62,000
Then find the subtractions:
"One of the accidents causes damage to property and the other causes injury or death to one person."
based on the 30/40/10 coverage:
-$30,000 for injury or death to One person
-$10,000 for property damage
62,000 - 40,000 = 22,000
Overall profit : $22,000
I think I did that right...
The company will earn the profit of $22,000.
Profit= $22,000.
What is insurance deductible ?The amount you pay for covered health care services before your insurance plan starts to pay.
It is given that:
Most popular premium= $600
According to question there is estimation of 100 person
Total money = 100 customers * $600 premium
= $60,000
The deductible amount is $1000 because they are paying for the accident.
So, the deductible amount is= $2000
Total deductible amount =$62,000
As one of the accidents causes damage to property and the other causes injury or death to one person.
So, based on 30/40/10 coverage there will be:
-$30,000 for injury or death to One person-$10,000 for property damageSo, the profit will be: 62,000 - 40,000
= $22,000
Overall profit : $22,000
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#SPJ2
i need help ( no links ) ( picture attached)
Answer:
120-(30+48)= 42
Step-by-step explanation:
Which of the following represents the situation?
Answer:
C
Step-by-step explanation:
4 souffles+10 meringue pies=38 eggs
and 6 meringue pies+8 souffles=34 eggs
Mr. Gill is draining his pool. The pump he is using changes the water level by −2 1/4 inches per hour. A stronger pump would drain the pool 2 1/2 times as fast. What would the change in water level be per hour if Mr. Gill used the stronger pump?
Answer:
-5.625 in/hour
Step-by-step explanation:
−2 1/4 * 2 1/2 = -5.625 in/hour
Can U Help MeSolve This?
Sequence Rule lNext Term
A. 5,9,17,33,__ l
B. 20,12,8,6,__ l
C. 2,8,26,80.__ l
D. 36,69,135,267__ l
E. 4,9,16,25,__ l
Answer:
A) 65
B) 5
C) 242
D) 531
E) 36
Step-by-step explanation:
A) Let the unknown term be x.
Difference between 5 & 9 = 4
Difference between 9 & 17 = 8 = 4×2
Difference between 17 & 33 = 16 = 8×2
It is observed that the difference between two terms is getting doubled. So,
Difference between 33 & x = 16×2 = 32
∴ x = 33 + 32 = 65
B) Let the unknown term be x.
Difference between 20 & 12 = 8
Difference between 12 & 8 = 8/2 = 4
Difference between 8 & 6 = 4/2 = 2
It is observed that the difference between two terms is getting halved.
Difference between 6 & x = 2/2 = 1
∴ x = 6 - 1 = 5
C) Let the unknown term be x.
Difference between 2 & 8 = 6
Difference between 8 & 26 = 18 = 6×3
Difference between 26 & 80 = 54 = 18×3
It is observed that the difference between two terms is getting tripled.
Difference between 80 & x = 54×3 = 162
∴ x = 80 + 162 = 242
D) Let the unknown term be x.
Difference between 36 & 69 = 33
Difference between 69 & 135 = 66 = 33×2
Difference between 135 & 267 = 132 = 66×2
It is observed that the difference between two terms is getting doubled.
Difference between 267 & x = 132×2 = 264
∴ x = 267 + 264 = 531
E) Let the unknown term be x.
4 = 2²
9 = 3²
16 = 4²
25 = 5²
It is observed that all the terms in the sequence are squares of consecutive natural numbers.
So, x = 6² = 36
2 5/8 - 6 1/4 + 8 1/2
Answer:
2 5/8 - 6 1/4 + 8 1/2\
= 227 /8
Step-by-step explanation:
hope this helps :)
Given vector u=3i + 5j and v=6i - 2j, find 3u + 2v and the dot product of u and v.
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Answer:
3u+2v = 21i +11ju·v = 8Step-by-step explanation:
The desired sum is ...
3u +2v = 3(3i +5j) +2(6i -2j) = (3·3 +2·6)i +(3·5+2(-2))j = 21i +11j
__
The dot product is the sum of products of corresponding component values.
u·v = (3)(6) +(5)(-2) = 18 -10 = 8
High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers have calculated the maximum horsepower for the engine to be 540HP . Nine engines are randomly selected for horsepower testing. The sample has an average maximum HP of 570 with a standard deviation of 30HP. Assume the population is normally distributed. Calculate a confidence interval for the average maximum HP for the experimental engine. Use a significance level of α=0.01.
Answer:
The 99% of a confidence interval for the average maximum HP for the experimental engine.
(536.46, 603.54)
Step-by-step explanation:
Step:-1
Given that the mean of the Population = 540HP
Given that the size of the sample 'n' = 9
Given that the mean of the sample = 570HP
Given that the sample standard deviation = 30HP
Step(ii):-
Degrees of freedom = n-1 =9-1 =8
t₀.₀₀₅ = 3.3554
The 99% of a confidence interval for the average maximum HP for the experimental engine.
[tex](x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2} + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )[/tex]
[tex](570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )[/tex]
(570 - 33.54 , 570+33.54)
(536.46 , 603.54)
Final answer :-
The 99% of a confidence interval for the average maximum HP for the experimental engine.
(536.46, 603.54)
How long will it take $3000 to earn $900 interest at 6% simple interest?
Answer:
5 years.
Step-by-step explanation:
3000x.06=180 interest per year.
900/180 =5 years.
Paola made a rectangular painting that has an area of 24 square feet. He now wants to make a similar
painting that has dimensions that are 2/3 the size of the original. What will the area of the new painting
be?
A.) 36 square feet
B.) 16 square feet
C.)12 square feet
D.) 10 2/3 square feet
Answer:
D.) 10 2/3 square feet
Step-by-step explanation:
The area will change by [tex](\frac{2}{3}) ^2=\frac{4}{9}[/tex]
multiply the area by 4/9 and you get 32/3 = 10 and 2/3 (because 10 = 30/3)
A manager randomly selected 25 large cash transactions at a bank that were made in January. The manager then carefully tracked down the details of these transactions to see that the correct procedures for reporting these large transactions were followed. If the chance for a procedural error is 10%, what is the probability that the manager finds more than two such transactions
Answer:
0.4629 = 46.29% probability that the manager finds more than two such transactions
Step-by-step explanation:
For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A manager randomly selected 25 large cash transactions at a bank that were made in January.
This means that [tex]n = 25[/tex]
The chance for a procedural error is 10%
This means that [tex]p = 0.1[/tex]
What is the probability that the manager finds more than two such transactions?
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718[/tex]
[tex]P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994[/tex]
[tex]P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629[/tex]
0.4629 = 46.29% probability that the manager finds more than two such transactions
Using the binomial probability relation, the probability that more than 2 such transactions is made is 0.463
Given the Parameters :
Sample size, n = 25 Probability of success, p = 0.10q = 1 - p = 1 - 0.10 = 0.90Using the relation :
[tex] P(x = x) = nCx \times p^{x} * q^{n-x} [/tex]Substituting the values into the relation :
P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)
Using a binomial probability calculator :
P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)
P(X > 2) = 0.226 + 0.138 +... +..
P(X > 130) = 0.463
The probability that more than 2 such transactions is made is 0.463
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It takes 15 caterpillars 24 hours to eat all the leaves on the bush in Violetta's front
yard. How
many
hours would it take 18 caterpillars to eat the same bush, assuming al
caterpillars eat at the same pace?
Answer:
20 hours
Step-by-step explanation:
[tex]\frac{15}{24}[/tex]=[tex]\frac{18}{x}[/tex]
15÷18=1.2
x=24÷1.2= 20 hours
20 hours is the answer
The time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.
What is the time taken?Time taken is the inverse of the rate of work.
As it is given that the time taken by 15 caterpillars to eat all the leaves on the bush in Violetta's front yard is 24 hours, therefore, the rate at which the 15 caterpillars eat the leaves can be written as,
[tex]\rm Rate = \dfrac{\text{Number of Bush That caterpillars eat}}{\text{Time taken by the caterpillars}}[/tex]
[tex]\rm Rate = \dfrac{1}{24}[/tex]
Now, as it is the rate of 15 caterpillars, therefore, the rate of a single caterpillar can be written as,
[tex]\rm Rate = \dfrac{\frac{1}{24}}{15} = \dfrac{1}{24 \times 15}[/tex]
Now, the time taken by 18 caterpillars can be written as,
[tex]\rm Time\ taken = \dfrac{Work}{Rate \times 18}\\\\\rm Time\ taken = \dfrac{1}{\dfrac{1}{24 \times 15}\times 18}\\\\Time \taken = \dfrac{24 \times 15}{1 \times 18} = 20 \ hours[/tex]
hence, the time taken by 18 caterpillars to eat the entire Bush in Violetta's front yard is 20 hours.
Learn more about Work and Time:
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us
Find the measure of 43.
<3
750
43 = [?]
Answer:
7600 is the answer <3
Step-by-step explanation:
100 points please OMG HELP ME PLEASE I WILL DO ANYTHING I AM TIMED HELP MEEEEEEEEEEEEEEEE 5. Find the distance between the
points (3,9) and (8,-5)
Answer:
The answer is 14.86. I hope that this helps
A student sells ice cream bars. Her weekly salary is given by , where x is the number of ice cream bars sold. Her employer determines the amount withheld for taxes using the function , where x is her weekly salary. Write the amount withheld as a function of the number of ice cream bars sold. Hint: Use composition.
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Answer:
W(x) = 0.06x +30
Step-by-step explanation:
The withholding on the student's salary is ...
W(S(x)) = 0.10(0.60x +300) = 0.06x +30
Where x is the number of ice cream bars sold, the withholding is ...
W(x) = 0.06x +30
Let theta be and angle in quadrant IV that has reference pi/3. What is sin(theta)?
Given:
[tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex].
To find:
The value of [tex]\sin \theta[/tex].
Solution:
We know that only cos and sec are positive in quadrant IV and all other trigonometric ratios are negative in quadrant IV.
Since [tex]\theta[/tex] is an angle in quadrant IV that has reference [tex]\dfrac{\pi}{3}[/tex], therefore the value of [tex]\sin \theta[/tex] must be negative.
[tex]\sin \theta=-\sin \dfrac{\pi}{3}[/tex]
[tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex]
Therefore, the required value is [tex]\sin \theta=-\dfrac{\sqrt{3}}{2}[/tex].
the answer with an explanation please
Answer:
5C
6C
7D
8B
Step-by-step explanation:
5) C because median is the middle of the set of numbers source A median is 4 source B median is 6 and 4 is 2 less than 6.
6) C because there are 6 numbers altogether and 1 6s on a dice so 6+6 because we have two dice and 2 6s on both so 2/12 or simplified 1/6
7) D because mean is all the numbers add up divided by the amount of numbers so 20+25+30+20+30 = 125 and 125 ÷ 5 = 25
8 B because mean is all the numbers add up divided by the amount of numbers so
5+6+7+8+8+8+8+8+8+9+9 = 76 ÷ by 10 is 7.6
7+7+7+7+8+8+8+8+10+10 = 80 ÷ by 10 = 8
8 + 7.6 = 15.6 ÷ 2 = 7.8 and B is closest to 7.8