let h= 3, k=-2
radius (r) = 11 ,then
(x-h)^2 + ( y-k)^2 = r^2
(x-3)^2 + ( y+2)^2 = 11^2
x^2 -6x +9 + y^2 +4y +4 = 121
x^2 + y^2 - 6x +4y -108 = 0 is the required eq
Mrs. Russo takes 3 minutes less than Mr. Lloyd to pack a shipping box when each works alone. One day, after Mrs. Russo had spent 6 minutes packing, her boss called her away for a meeting. Mr. Lloyd finished packing that same box in 4 minutes. How many minutes would it take each employee to pack the shipping box alone?
Answer:
Mr. Russo takes three minutes less than Mr. Lloyd to pack a case when each works alone.
One day, after Mr. Russo had spent six minutes in packing the case, the boss called him away, and Mr. Lloyd finished packing the case in four more minutes.
How many minutes would it take Mr. Russo alone to pack the case?
:
Let t = time required by Russo alone
then
(t+3) = time required by Lloyd alone
:
Let completed job = 1; (a packed case)
:
Russo + Lloyd = completed job
6%2Ft + 4%2F%28%28t%2B3%29%29 = 1
:
Multiply by t(t+3)
t(t+3)*6%2Ft + t(t+3)*4%2F%28%28t%2B3%29%29 = 1t(t+3)
:
Cancel the denominators, and you have:
6(t+3) + 4t = t^2 + 3t
6t + 18 + 4t = t^2 + 3t
10t + 18 = t^2 + 3t
:
Arrange as a quadratic equation on the right:
0 = t^2 + 3t - 10t - 18
t^2 - 7t - 18 = 0
Factors to
(t-9)(t+2) = 0
:
The positive solution is what we want here:
t = 9 minutes, time required by Russo alone
:
:
Check solution in original shared work equation (Lloyd requires 12 min)
Find the exact value of sin 240° in simplest form with a rational denominator.
Step-by-step explanation:
sin 240° = -½√3 = -0.866
_______
Your IPod has 3 hours of battery remalning. If it has 15 hours when fully charged, what percent charged is it right now?
Answer:
60%
Step-by-step explanation:
5 hours - 100%
1 hour - 100/5 = 20%
3 hours - 20 x 3 = 60%
The length of life of oil-drilling bits depends upon the types of rock and soil that the drill encounters, but it is estimated that the mean length of life is 55 hours. An oil exploration company purchases drill bits that have a length of life that is approximately normally distributed with mean equal to 55 hours and standard deviation equal to 9.1 hours.
What proportion of the company’s drill bits will have to be replaced after more than 90 hours of use?
Answer:
"0.9999" is the correct solution.
Step-by-step explanation:
The given values in the question are:
Mean,
= 55
Standard deviation,
= 9.1
Now,
⇒ [tex]z=\frac{X-mean}{sd}[/tex]
By putting the values, we get
⇒ [tex]=\frac{90-55}{9.1}[/tex]
⇒ [tex]=\frac{35}{9.1}[/tex]
⇒ [tex]=3.8461[/tex]
hence,
[tex]P(X<90)[/tex]
= [tex]P(Z<3.8461)[/tex]
= [tex]NORMSDIST(3.8461)[/tex]
then the value will be:
= [tex]0.9999[/tex]
What is the slope of the following graph?
your savings account pays 2.5% interest per year. How much interest does the account pay per month
Answer:
0.209 x 12 is that answer but their really is no answer because i have tried about every way i can think of to get the answer so yeah sorry
Step-by-step explanation:
brainliest pls
amy runs 2 miles in 30 minutes how long will it take her to run 7 miles at this rate
Answer:
1 hour 45 minutes
Step-by-step explanation:
Time taken to cover a distance of 2 miles = 30 minutes.
Time required to cover 1 mile = 30/2 = 15 minutes.
Time required to cover 7 miles = 15×7
= 105 minutes or 1 hour and 45 minutes.
BRAINLIST + 100 POINTS
2) Employees were asked how many times per week they exercised. The frequency table shows the results of the survey
Number of times exercised: 0,1,2,3,4,5,6,7,8
Frequency: 7,10,5,13,32,16,15,8,4
(a) Create a probability distribution table from the frequency table. Round probabilities to the nearest hundredth.
FIND
(b) P(x≥5)
(c) P(x=7)
(d) P(x<4)
Answer:
Heyaa!! My name is Pinky and im here to tell you that the answer is..
Step-by-step explanation:
!!(b) P( x < 4) = ( 5 + 10 + 2 + 9 ) / ( 5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1 ) = 13/45!!
!!(c) P(x = 6) = 15 / (5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1) = 1/6!!
!!(d) P( x ≥ 5 ) = (12+ 15 + 3 + 1) / (5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1) = 7/30!!
Have and Amazing Day now!!
~Pinky~
Anyone with the answer to this question today?
Minimon común numtiplo de 4800 1350 y 2646
Answer:
LCM of (4800, 1350, 2646) = 2116800
Step-by-step explanation:
Factorización prima de los números:
4800 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5
1350 = 2 × 3 × 3 × 3 × 5 × 5
2646 = 2 × 3 × 3 × 3 × 7 × 7
MCM (4800, 1350, 2646)
2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7
2116800
MCM de (4800, 1350, 2646) = 2116800
Elijah has
2
1
2
2
2
1
bags of candy. A bag of candy weighs
5
5 pounds. How many pounds of candy does Elijah have?
pounds of candy.1 in3 (3 is above inches)
Answer:
50 pounds
Step-by-step explanation:
A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long, 7.5 meters wide, and 5.6 meters high. What is the volume, round to the nearest cubic meter, of the aquarium?
A. 280
B. 623
C. 1288
D. 962
Answer:
1288 c m 3
Step-by-step explanation:
To work out volume, you just do the simple calculation of height x width x length. So what we need to do here is 6 x 7.5 x 22.9 =
1212.5 c m 3 .
The decimal is a 5 so that is rounded up to give the nearest meter hence the answer to the question is
1288 c m 3 .
Jamal needs several feet of wood for a birdhouse
project. He already has 12 yards. How many feet are
in 12 yards?
Answer:
36
Step-by-step explanation:
multiple by the length value by 3
Solve: 10(0.5x- 2) = -3x + 20 + 8x
Answer: no solution
Step-by-step explanation:
Answer:
10 × 0.5 x = 5x
10 × -2 = - 20
(5x-(-20)) = 5x + 20
-3x + 8x + 20 = 5x + 20
Please i need help I will heart whoever answers. Thx
Answer:
c.25-c/4
Step-by-step explanation:
because all the other expressions are suggesting another equation they said Emma made 25 cookies and gave her mom c so that will be 25-c and then she divided it between her four friends so therefore 25-c,c=the amount she gave her mom,it is unknown so 25-c =the amount remaining after she gave her mom divided by 4
We have two urns. Urn 1 has 2 red balls and 3 yellow balls, while Urn 2 has 3 red balls and 7 yellow balls. We randomly select 75 balls form Urn 1, sampling with replacement. We independently randomly select 100 balls from Urn 2, sampling with replacement. Find the variance of the random variable defined as the number of red balls obtained from Urn 2 less the number of red balls obtained from Urn 1.
Answer:
[tex]\sigma (y_1-y_2)=39[/tex]
Step-by-step explanation:
From the question we are told that:
Urn 1 :2 Red, 3 Yellow
Urn 2:3 Red, 7 Yellow
Sample 1 [tex]n_1=75\ balls[/tex]
Sample 2 [tex]n_2=100\ balls[/tex]
Generally the Probability of Red ball drawn is mathematically given by
For Urn 1
[tex]P(R)_1=\frac{2}{5}[/tex]
[tex]P(R)_1=0.4[/tex]
For Urn 2
[tex]P(R)_1=\frac{3}{10}[/tex]
[tex]P(R)_1=0.3[/tex]
Generally the equation for Variance of two independent variables [tex]\sigma (y_1-y_2)[/tex] is mathematically given by
[tex]\sigma (y_1-y_2)=\sigma y_2 +(-1)^2 \sigma(x_1)[/tex]
Where red balls drawn from both Urn is Modeled
[tex]Urn_1\ is\ Modeled\ as (n_1=75,p_1=0.4)[/tex]
[tex]Urn_2\ is\ Modeled\ as\ (n_2=100,p_2=0.3)[/tex]
[tex]\sigma (y_1-y_2)=n_2 p_2(1_p_2)+n_1*p_1(1-p_1)[/tex]
[tex]\sigma (y_1-y_2)=100*0.3(1-0.3)+75*0.4(1-0.4)[/tex]
[tex]\sigma (y_1-y_2)=39[/tex]
Therefore the variance of the random variable defined as the number of red balls is
[tex]\sigma (y_1-y_2)=39[/tex]
Hey I need some help with this
Answer:
with what plz explain the question
To run 12 miles, how many times must you run around a park that is 2 miles long and 1 mile wide?
one number is 8 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 480, find the numbers
Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = 8x
Let the third number = x + 100
x + 8x + x + 100 = 480 Combine like terms
10x + 100 = 480 Subtract 100
- 100 -100
10x = 380 Divide by 10
x = 380/10
x = 38
First number = 38
Second number = 8*38 = 304
The third number = 38 + 100 = 138
An electric car traveled a record of 321.8 miles in one hour. At this rate, how far would it travel in 15 minutes?
Answer:
80.45 miles
Step-by-step explanation:
Divide and multiply
using a positive and negative integer, write an addition expression that equals -9
Answer:
-13 + 4
Step-by-step explanation:
For the sum to be negative, the absolute value of the negative integer has to be 9 more than the positive integer. There are an infinite number of equations, but here is one:
-13 + 4
pls help me
Which of the following is not a solid figure?
A.cube
B.cylinder
C.prism
D.rectangle
Answer:
c.prism is not solid figure
Answer:
rectangle
Step-by-step explanation:
rectangle isn't a solid figure
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
90 mm^2
Step-by-step explanation:
Divide it in 2 figures
Get the area of the one of 5 * 6 mm = 30mm^2
Then the one of 6 * 10 mm = 60 mm^2
Then just add it up. 90 mm^2
The deterioration of many municipal pipeline networks across the country is a growing concern. One technology proposed for pipeline rehabilitation uses a flexible liner threaded through existing pipe.
The article "Effect of Welding on a High-Density Polyethylene Liner" (J. of Materials in Civil Engr., 1996: 94-100) reported the following data on tensile strength (psi) of liner specimens when a certain fusion process was used and when this process was not used.
No Fusion :: 2748 2700 2655 2822 2511 3149 3257 3213 3220 2753
Yes Fusion :: 3027 3356 3359 3297 3125 2910 2889 2902
Compare the mean tensile strengths at the 95% confidence level ...
Perform a COMPLETE APPROPRIATE analysis.
Answer the question of interest, check assumptions, etc.
Answer:
The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level
Step-by-step explanation:
The given data is
No Fusion :: 2748 2700 2655 2822 2511 3149 3257 3213 3220 2753
Yes Fusion :: 3027 3356 3359 3297 3125 2910 2889 2902
The calculated Means are
x1`= 2902.8
X2`= 3108.125
The standard deviations are
s1= 277.265
s2= 205.87
We are using Student's t- test
We formulate null and alternate hypotheses are
H0 : u1 - u2= 0 against Ha: u1 - u 2≠0
The Significance level alpha is chosen to be ∝ = 0.05
The critical region t ≥ t (0.025, 16) = ± 2.120
Degrees of freedom is calculated df = υ= n1+n2- 2= 10+8-2= 16
Here the difference between the sample means is x`1- x`2
=2902.8-3108.125
= -205.325
The pooled estimate for the common variance σ² is
Sp² = (n1-1) s1² + (n2-1) s2²/ n1+n2-2
= 9( 277.265)² + 7(3108.125)²/ 16
Sp² = 691,882.922+67,623,087.109/16
Sp= 2066.321
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= -205.325/ 2066.321 √1/10+ 1/8
t= -205.325/980.142
t= -0.2095= -0.21
Conclusion
The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level
A jogger is going around a circular track with a radius of 100 ft. Determine the
ANGULAR speed of the jogger given that they run a lap every 3 minutes, to the nearest tenth. (recall:theta must be in radians)
Answer:
ω= 0.01 rad/s
Step-by-step explanation:
The given data is question is ,
r = 100ft .t = 3 min = 180s.Firstly let's find the linear speed. Which is
=> v = Circumference/time
=> v = 2πr/180s
=> v = 3.14 × 100ft ./ 90
=> v = 3.48 ft/s ≈ 1m/s
Now the angular speed and linear speed are related as follows ,=> v = r[tex]\omega[/tex]
=> [tex]\omega[/tex] = v/r
=> [tex]\omega[/tex] = 1/100
=> [tex]\omega[/tex] = 0.01 rad/s
Hence the angular speed is 0.01 rad/s.Hey guys I need help but i need it Step by step it asks me if john has $3.05 and he pays $1.18 how much does he have left but i know he's left over with $1.87 but i need step by step problem
john has $3.05 he subtracts $1.18 and is left over with $1.87
first john subtracts the 8 from the five but he cant do that so he takes from the 3 and makes it a 2 he then moves over that ten that he had taken away from the 3 and places it at the 0. Now john needs to move over the 10 on the 0 to the 5 so he can subtract the 8 from the 5. John moves one ten from the nine that had replaced the 0 and gave it to the 5. that 5 is now a 15 because you've added ten to it. John now subtracts the 8 from the 15 to get 7 . next john subracts the 9 from the 1 in the tens place to get 8. Now john subracts the 1 from the 2 in the hundereds place to get a total sum of $1.87.
or
3.05
-1.18
---------
1.87
When Bunny and Walter came home from practice, there was a note from their mother sitting on top of a pizza box. “Had to run to a meeting. You two can share the rest of the pizza for dinner. Love ya!” When they opened the box, they saw that exactly one-fourth of the pizza was gone. If Bunny and Walter split what was left evenly, how much of the pizza will each get?
9514 1404 393
Answer:
3/8 pizza
Step-by-step explanation:
If 1/4 of the 4/4 of the pizza was gone, 3/4 remained. When that is split in half, each half is (3/4)(1/2) = 3/8 of the pizza.
Each gets 3/8 of the pizza.
If 2 inches in the drawing represents 1 mile, which distance is closest to the length of
the actual bus route Sofia takes to get from her house to the shopping center?
A 24 mi
B 6 mi
C 5 mi
D 12 mi
wheres the picture
Step-by-step explanation:
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
increasing
Step-by-step explanation:
Complete the congruence statement.
Answer:
∠K ≅ ∠N
Step-by-step explanation:
Since you are given ΔJKL ≅ ΔMNO, you can say the corresponding angles are congruent:
∠J ≅ ∠M
∠K ≅ ∠N
∠L ≅ ∠O
So, the answer is ∠N