Answer:
18 minutes
Step-by-step explanation:
Given that:
The arrival time = 3 customers / hour
The avg. service rate (s) = 12 minutes per customer
To hour, we have:
[tex]s = \dfrac{60}{12}[/tex]
s = 5 customers/ hour
Thus, the required average time for a customer needs to wait in line is:
[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]
To minutes;
[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]
= 18 minutes
EL QUE ME AYUDE CON ESTO LE DOY CORONA ._.
TEMA : TEORIA DE EXPONENTES
- Al aplicar la ley de exponentes la expresión se reduce a:
Answer:
S = [tex]\frac{36}{25}[/tex]
Step-by-step explanation:
Given expression is,
S = [tex]\sqrt[3]{[(\frac{3}{2})^{-2}+6^{-3}+(\frac{3}{2})^{-3}-6^{-1}}]^{-2}[/tex]
S = [tex]\sqrt[3]{[(\frac{2}{3})^{2}+(\frac{1}{6})^{3}+(\frac{2}{3})^{3}-(\frac{1}{6})}]^{-2}[/tex]
= [tex]\sqrt[3]{[\frac{4}{9}+\frac{1}{216}+\frac{8}{27}-\frac{1}{6}}]^{-2}[/tex]
= [tex]\sqrt[3]{(\frac{96+1+64-36}{216})^{-2}}[/tex]
= [tex]\sqrt[3]{(\frac{125}{216})^{-2}}[/tex]
= [tex]\sqrt[3]{(\frac{216}{125})^{2}}[/tex]
= [tex]\sqrt[3]{(\frac{216}{125})\times (\frac{216}{125})}[/tex]
= [tex]\sqrt[3]{(\frac{6\times 6\times 6}{5\times 5\times 5})\times (\frac{6\times 6\times 6}{5\times 5\times 5})}[/tex]
= [tex]\sqrt[3]{(\frac{6}{5})^3\times (\frac{6}{5})^3}[/tex]
= [tex]\frac{6}{5}\times \frac{6}{5}[/tex]
= [tex]\frac{36}{25}[/tex]
please help i don't even where to start
solve for x
The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.
Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length x.
Now, by the intersecting chord theorem,
16×4 = x × x
or
x ² = 64
so that
x = 8
Solve for x, and angle c
9514 1404 393
Answer:
x = 12.75
∠C = 51.75°
Step-by-step explanation:
The two marked angles are complementary, so ...
(5x -12) +(3x) = 90
8x = 102
x = 102/8
x = 12.75
__
C = (5x -12)° = (5(12.75) -12)°
∠C = 51.75°
__
Check
E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should
A bag contains 12 marbles: 3 red, 4 green, and 5 blue.
Suppose you draw two marbles from the bag, one at a time, without replacement.
What is the probability that the first marble is blue and the second marble is green?
Answer:
The probability is that the first marble is blue is 5/12 and the probability that the second marble is green is 4/11
Step-by-step explanation:
32 ÷ 24 plese help me
Answer: 1.333
Step-by-step explanation:
Answer:
1.33
Step-by-step explanation:
nothing much to explain
At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.12;5 students, 0.13; 6 students, 0.30; and 7 students, 0.33. Let be the number of students per hour of a randomly selected teacher.
Answer:
0
Step-by-step explanation:
am not sure, , have not studied
What is the scale factor from LMN to OPO?
A.1
Β. 4
C. 3
D. 0
Answer:
A. 1
Step-by-step explanation:
PLEASE HELP DUE IN 2 HOURS!
4.22 g/cm to lbs/ft
Answer:
The answer is 0.28 lbs/ft or 0.3 lbs/ft, if rounded.
Step-by-step explanation:
In order to solve, divide the mass / length value by 14.882.
I hope this helps you.
The diameter of a circle is 16 kilometers. What is the angle measure of an arc 6 kilometers long?
In simplest form
Answer: 135/pi
Step-by-step explanation: Circumference is 16pi. So then 6/16pi is the fraction of the 360 arc measure of the entire circle that is the angle measure of the arc, so we multiply 6/16pi times 360 and yield 135/pi. Hope this helps!
An airplane is traveling at an altitude of 30,000 feet
above sea level and needs to get above 35,000 feet.
The airplane can climb 500 feet every minute. How
long will the airplane need to travel to get above 35,000
feet?
Answer:
10 minutes
Step-by-step explanation:
First, find how much higher the airplane has to travel:
35,000 - 30,000
= 5,000
To fine how long it will take, divide 5000 by 500
5000/500
= 10
So, it will take 10 minutes to get above 35,000 feet
Vincent began his weekly chores on Saturday morning at 11:20 he worked for 1 hour and 15 minutes with a 10 minute break at what time did Vincent finish his chores
Answer:
12:45
Step-by-step explanation:
Step One: An hour after 11:20 is 12:20, plus 15 minutes is 12: 35.
Step Two: Just add 10 minutes, because it doesn't matter when you add the ten minutes.
Evaluate r^2−s^2, when r=12 and s=5.
Step-by-step explanation:
Given r = 12, s = 5,
[tex] {r}^{2} - {s}^{2} = {12}^{2} - {5}^{2} \\ = 144 - 25 \\ = 119[/tex]
Amar and his friends went to a movie at 3:55 P.M. The movie ended at 5:30 P.M.
How long was the movie?
The movie was
hour(s) and
minutes.
Amar got home 45 minutes after the movie ended.
What time did Amar get home?
Complete the explanation for how you found your answer.
You need to find
minutes after 5:30 P.M.
5:30 to 6:00 is
minutes, so 15 minutes more is
:15.
Answer: the movie was 1 hour and 35 minutes and Amar got home at 6:15 P.M.
Step-by-step explanation:
to find out how long the movie was you have to find the distance between the time frames 3:55 and 5:30.
3:55+1 hour= 4:55
4:55+5 minutes= 5:00
5:00+30 minutes= 5:30
Add the times to find how long the movie was.
This is how I found how long the movie was.
To find out when Amar got home you have to do the same thing as well.
5:30+30 minutes= 6:00
6:00+15 minutes= 6:15
Hope this helps!
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Answer: 166 2/3m
Step-by-step explanation:
Area of a rectangle = length times width
Length: 16 2/3
To find the width, multiply it by 3/5.
w = 16 2/3 · 3/5
w = 10
Then, multiply the length by the width.
a = l · w
a = 16 2/3 · 10
a = 166 2/3m
Can someone help me with this?
9514 1404 393
Answer:
π/4, 7π/4
Step-by-step explanation:
Adding √2 and dividing by 2 makes the equation ...
cos(θ) = (√2)/2
The first-quadrant solution is ...
θ = arccos((√2)/2) = π/4
The angle in the 4th quadrant with the same reference angle will have the same cosine value.
θ = 2π -π/4 = 7π/4
The two solutions are θ = π/4, 7π/4.
What is the solution set for 4x+9 <17?
Is B right? Or A?
Answer:
[tex]x<2[/tex]
Step-by-step explanation:
[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+9-9<17-9[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x<8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]=x<2[/tex]
Answer:
4x+9=17
-9 -9 subtract 9 on both sides to cancel 9 on one side of equation and subtracted on the other side
4x=8
divide 4 on both sides to get x by itself
x=8/4
x=2 SOLUTION
Step-by-step explanation:
BRAINLIEST STARS
Simplify:
4+ (15 – 14) X 6
O A. 65
B. 30
O c. 24
D. 10
Which table shows proportional relationship between x and y?
Answer:
C
Step-by-step explanation:
For a relationship to be proportional, x/y needs to be the same for all rows.
5/8 is not 12/15
5/3 is not 15/11
3/8 is not 5/12.
The table C checks out with a ratio of 3:5
The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. The standard deviation of active concentration is known to be 3 grams per liter regardless of the catalyst type. Ten observations on concentration are taken with each catalyst, and the data follow:
Catalyst 1: 57.9, 66.2, 65.4, 65.4, 65.2, 62.6, 67.6, 63.7, 67.2, 71.0
Catalyst 2: 66.4, 71.7, 70.3, 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8.
a. Find a 95% confidence interval on the difference in mean active concentrations for the two catalysts. Find the P-value.
b. Is there any evidence to indicate that the mean active concentrations depend on the choice of catalyst? Base your answer on the results of part (a).
c. Suppose that the true mean difference in active concentration is 5 grams per liter. What is the power of the test to detect this difference if α = 0.05?
d. If this difference of 5 grams per liter is really important, do you consider the sample sizes used by the experimenter to be adequate? Does the assumption of normality seem reasonable for both samples?
Answer:
a. The 95% C.I. is approximately -5.83 < μ₁ - μ₂ < -0.57
b. Yes
c. The power of the test is 0.03836
d. The sample size can be considered adequate
Step-by-step explanation:
a. The given data in the study
Catalyst 1: 57.9, 66.2, 65.4, 65.4, 65.2, 62.6, 67.6, 63.7, 67.2, 71.0
Catalyst 2: 66.4 , 71.7, 70.3, 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8
Using the Average, Standard Deviation function from Microsoft Excel, we have;
The mean for Catalyst 1, [tex]\overline x_1[/tex] = 65.22
The standard deviation for catalyst 1, σ₁ = 3.444416
The mean for Catalyst 2, [tex]\overline x_2[/tex] = 68.42
The standard deviation for catalyst 2, σ₂ = 2.22401
The 95% confidence interval on the difference in mean is given as follows;
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm z_{c}\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}} + \dfrac{\sigma_{2}^{2}}{n_{2}}}[/tex]
The critical-z for a 95% confidence interval = 1.96
Therefore, we have;
[tex]\left (65.22-68.42 \right ) \pm 1.96 \times \sqrt{\dfrac{3^{2}}{10} + \dfrac{3^{2}}{10}}[/tex]
Therefore, we have;
The 95% C.I. is approximately -5.83 < μ₁ - μ₂ < -0.57
The test statistics is given as follows;
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Therefore we have;
[tex]z=\dfrac{(65.22-68.42)}{\sqrt{\dfrac{3^{2} }{10}+\dfrac{3^{2}}{10}}} = -2.385[/tex]
The p-value = P(Z<-2.39 or Z > 2.39) = 2P(Z<-2.39) = 2 × 0.00842 = 0.01684
b. From the confidence interval which range from approximately -5.83 to -0.57 and does not include 0, therefore, there is a difference in mean active concentration which depends on the choice of catalyst
c. The power of the test
The sample mean difference is given as follows;
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) = \pm z_{c}\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}} + \dfrac{\sigma_{2}^{2}}{n_{2}}}[/tex]
Therefore, we have;
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) = \pm 1.96 \times \sqrt{\dfrac{3^{2}}{10} + \dfrac{3^{2}}{10}} = \pm 2.6296[/tex]
The z-value is given as follows;
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
μ₁ - μ₂ = 5
When [tex]\bar{x}_1-\bar{x}_{2} = 2.6296[/tex]
[tex]z=\dfrac{2.6296-5}{\sqrt{\dfrac{3^{2} }{10}-\dfrac{3^{2}}{10}}} \approx -1.7667918[/tex]
When [tex]\bar{x}_1-\bar{x}_{2} = -2.6296[/tex]
[tex]z=\dfrac{-2.6296-5}{\sqrt{\dfrac{3^{2} }{10}-\dfrac{3^{2}}{10}}} \approx -5.686768[/tex]
The power of the test is given by P = P(Z<-5.69) + P(Z>-1.77) = 0 + 0.03836 = 0.03836
The power of the test = 0.03836
d. The sample size is statistically adequate because the confidence interval of -5.83 < μ₁ - μ₂ < -0.57 has a value of -5 as a possible population difference in mean
The assumption of normality seems adequate because the confidence interval obtained by using the sample standard deviation is given as follows;
(-5.74, -0.66) which also contains -5 which is the difference in the population mean
What is the solution to the equation 3(x-2)=3(x+4)=27
Ox= 12
OX= 14
x= 16
Ox= 26
Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))
answer in simplest radical form
[tex]64*36=x^{2} \\2304=x^{2} \\x=48[/tex]
Question 3
Convert the following proportion score to a percentage: .3852
Answer:
The percentage score is 38.52%
Step-by-step explanation:
Conversion of a proportion to a percentage:
To convert from a proportion to a percentage, we multiply by 100%, that is, the decimal point is moved two positions to the right, and the percentage sign is placed in the number.
In this question:
Proportion .3852
0.3852*100% = 38.52%
The percentage score is 38.52%
4. Celina babysat for 5 hours and earned $27. what's her pay per hour?
New appliances for the kitchen will include a new refrigerator ($1,649.99), dishwasher ($369.99), and electric range ($1,146.99) which will be purchased at the local appliance store. Estimate the cost of the appliances to the nearest hundred dollars. Then calculate the actual total cost of the appliances. New appliances for the kitchen will include a new refrigerator ($1,649.99), dishwasher ($369.99), and electric range ($1,146.99) which will be purchased at the local appliance store. Estimate the cost of the appliances to the nearest hundred dollars. Then calculate the actual total cost of the appliances.
Answer:
estimated price is $3167 and actual price is $3166.97
Salma's company makes solid metal balls for various industrial uses. A customer wants lead balls that have a diameter of 6 in. If Salma must make 80 of these balls, how much lead will she need?
HEELPP ME PLLEASEE
Answer:
Total volume of 80 balls = 2,263.2 inch³
Step-by-step explanation:
Given:
Diameter of lead ball = 6 inch
Number of ball need = 80
Find:
Total volume of 80 balls
Computation:
Radius of lead ball = Diameter / 2
Radius of lead ball = 6 / 2
Radius of lead ball = 3 inch
Volume of lead ball = πr²
Volume of lead ball = (22/7)(3)²
Volume of lead ball = (22/7)(9)
Volume of lead ball = 28.29 inch³ (Approx.)
Total volume of 80 balls = 80 x Volume of lead ball
Total volume of 80 balls = 80 x 28.29
Total volume of 80 balls = 2,263.2 inch³
according to the weather report, what is the chance of rain or snow?
A. 10%
B. 90%
C. 50%
D. 6%
Answer:
50? or together will be 90?
Which expression can be used to find the surface area of the following square pyramid?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
10+10+8+8+8+810+10+8+8+8+810, plus, 10, plus, 8, plus, 8, plus, 8, plus, 8
(Choice B)
B
100+40+40+40+40100+40+40+40+40100, plus, 40, plus, 40, plus, 40, plus, 40
(Choice C)
C
100+80+80+80+80100+80+80+80+80100, plus, 80, plus, 80, plus, 80, plus, 80
(Choice D)
D
100+80100+80
Answer:
A
Step-by-step explanation:
Can someone help me plss
Answer:
Given, x = 2 and z = 12
z + 5x³
12 + 5×2³
12 + 5×8
12 + 40
52
Don't forget to like and mark me
Please help!!!
The purple shape is a dilation of the black shape. What is the scale factor or the dial action?
Answer:
I belive it would be 1/5. ;;;