The sum of the given infinite series is 432.
The given infinite series is 72+60+50+125/3+.......
What is the sum of the infinite series formula?The general formula for finding the sum of an infinite geometric series is S=a/r-1, where s is the sum, a1 is the first term of the series, and r is the common ratio.
From the series a=72 and r=60/72 =5/6
So, sum = [tex]\frac{72}{1-\frac{5}{6} }[/tex]
= [tex]\frac{72}{\frac{1}{6} }[/tex]
= 72×6
= 432
Hence, the sum of the given infinite series is 432.
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What is 3085 over 16 as a mixed number? Ahh helpppp:(!
We want to decide whether to employ a human operator or buy a machine to paint steel beams with a rust inhibitor. Steel beams are produced at a constant rate of one every 14 minutes. A skilled human operator takes an average time of 700 seconds to paint a steel beam, with a standard deviation of 300 seconds. An automatic painter takes on average 40 seconds more than the human painter to paint a beam, but with a standard deviation of only 150 seconds. Estimate the expected waiting time in queue of a steel beam for each of the operators, as well as the expected number of steel beams waiting in queue in each of the two cases. Comment on the effect of variability in service time.
Answer:
Manual painter, expected waiting time = 0.085
Automatic painter expected waiting time = 0.031
Step-by-step explanation:
See attachment
Juan is paid a salary of $2400 biweekly. Find the Juan's earnings per year.
Answer:
2,400x26=62,400
Step-by-step explanation:
you times it by 26 because he gets paid biweekly
You can factor a quadratic function using the completing the square method for any coefficient of the a term. True or false
Answer:
Step-by-step explanation:
Of the 50 people at the concert, 12 are teenagers. What percent are
teenagers? *
O 48%
O 50%
O 24%
044%
Which statement must always be true?
4
13
Choose the correct answer below.
O A. If Z1 Z2, then gl|h.
OB. If 21-23, then gl|h.
O C. If Z2 = 24, then jl|k.
OD. If Z3 Z4, then illk.
Solve for equation x by graphing -4^x+1=3x-4
Answer:The answer is B
x=0.75
I’m not sure though
Step-by-step explanation:
How do you do this question?
Answer:
A and C
Step-by-step explanation:
Easiest way is to plug in values of t and trace the graph.
A (x, y) = (sin(t), cos(t))
At t = 0, (x, y) = (0, 1).
At t = π/2, (x, y) = (1, 0).
So the particle starts at (0, 1) and moves clockwise. The period of sin(t) and cos(t) is 2π, so for 0 < t < 2π, the particle makes 1 revolution.
B (x, y) = (-sin(t), cos(t))
At t = 0, (x, y) = (0, 1).
At t = π/2, (x, y) = (-1, 0).
So the particle starts at (0, 1) and moves counterclockwise. The period of sin(t) and cos(t) is 2π, so for 0 < t < 4π, the particle makes 2 revolutions.
C (x, y) = (cos(4πt), sin(4πt))
At t = 0, (x, y) = (1, 0).
At t = 1/8, (x, y) = (0, 1).
So the particle starts at (1, 0) and moves counterclockwise. The period of sin(4πt) and cos(4πt) is 1/2, so for 0 < t < 1, the particle makes 2 revolutions.
D (x, y) = (cos(2πt), -sin(2πt))
At t = 0, (x, y) = (1, 0).
At t = 1/4, (x, y) = (0, -1).
So the particle starts at (1, 0) and moves clockwise. The period of sin(2πt) and cos(2πt) is 1, so for 0 < t < 1, the particle makes 1 revolution.
The ratio of people who prefer chocolate chip cookies to oatmeal cookies is 5:2. If there were a total of 56 people surveyed, how many people prefer chocolate chip cookies?
Answer:
40
Step-by-step explanation:
5 + 2 = 7
56 ÷ 7 = 8
8 × 5 = 40
PLEASE HELPP!!! I got it wrong and im on my last chance. Please show your work to help me understand! Will mark as BRAINLIEST!!
Answer:
x=10
Step-by-step explanation:
First, you gotta get the numbers with the x on one side and the whole numbers on the other side.
So, since there is a -3 on the right side, make that 0 by adding 3. Whatever you do to one side you have to do to the other side, so then add 3 the the left side. You should have 12x=9x+30.
Now, get the Xs on one side. Since there is a positive 9x on the left side, subtract 9x from that side to make that 0. Again, whatever you do to one side you have to do to the other side, so subtract 9x from the right side as well. This should leave you with 3x=30.
In order to get x by itself, we need to divide because when 2 things (in this case the 3 and the x) are right next to each other (no space in between,) it means they are multiplied together. To get x by itself, we need to do the opposite which is divide. 3x/3=x 30/3=10 So, x=10
btw, /=divide
Answer:
12x – 3 = 9x +27
=> 12x – 9x = 27 + 3
=> 3x = 30
=> x = 30/ 3
=> x = 10
ILL GIVE BRAINLY!!! Write an expression to represent "a number plus 1/3 of the number." Explain why your expression represents the situation.
Answer:
6+2=8
Step-by-step explanation:
I got this by multiplying 1/3 by 6 which equaled 2. So this means 2 is the equivalent to 1/3 of 6. You could also do whatever the number is in total (6) divided by 3 to find out how much 1/3 would be. Then you just add up the whole number and how much 1/3 of the first number is together to get your answer (8).
For every 1/4 mi Pascal walks Lucien runs 2/3 mi. How many miles does Pascal walk for every 1 mi Lucien runs? Write your answers in the blanks.
Answer:
Step-by-step explanation: The answer is 0.5
The distance Pascal walk for every 1 mile Lucien runs is equal to [tex]\frac{8}{3}[/tex] miles.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that for every 1/4 miles Pascal walks Lucien runs 2/3 miles. We have to find out the number of miles Pascal walk for every 1 miles Lucien runs. This can be find out by dividing 2/3 by 1/4 and we get :
= [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]
We know that when a fraction is divided by another , then the part right to the division sign is inversed and division sign is replaced with a multiplication sign.
i.e., the distance Pascal will walk for every 1 mile Lucien runs will be :
= [tex]\frac{2}{3}[/tex] × [tex]\frac{4}{1}[/tex]
= [tex]\frac{8}{3}[/tex] miles
Therefore , the distance Pascal walk for every 1 mile Lucien runs is equal to [tex]\frac{8}{3}[/tex] miles .
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I need to find the value of x
Answer:
I think I already gave the answers to you on your previous question to find the value of y. I gave the x and y answers.
Step-by-step explanation:
x = 98
If m∠MNP = 107°, what is m∠MQP?
Answer:
180 - 107 = 73
Step-by-step explanation:
A baseball player had 4 hits in 8 games At this rate how many hits will the baseball player have in the next 28 games?
O 14
O 24
O 28
O 56
Find the minimum or maximum value of the function y = -x– 4x - 2. Describe the domain and range of the function, and
where the function is increasing and decreasing.
Answer: How can this function have a max/min if it’s not a parabola?
When you graph this it’s a line.
Find the perimeter of parallelogram ABCD with vertices A(–5, 6), B(2, 6), C(1, –2), and D(8, –2).
Answer:
A is the correct answer
100 + (-75) =?
I’m desperate please
Answer:
100+-75=25.
Step-by-step explanation:
I really hope this helps.
Answer:
25
Step-by-step explanation:
you just do 100-75 it is the same as 100+(-75)
A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (The Wall Street Journal, May 5, 2010). In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.
a. Select the null and the alternative hypotheses to test the policy analyst's objective.
A. He : p 0.82; Ha: p +8.82
B. He: P 8.82; HA: P8.82
b-1. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? (Negative values should be Indicated by a minus sign. Round Intermedlete calculatlons to at least 4 decimal places and final answer to 2 declmal places.)
b-2. Find the p-value.
a. p-value<0.01
b. 0.01 s p-value<0.025
c. 0.025 s p-value
d. 0.05 sp-value<0.10
e. p-value z 0.10
c-1. At a 0.05, do you reject the null hypothesis?
A. Yes, since the p-value is greater than significance level.
B. Yes, since the p-value is smaller than significance level.
C. No, since the p-value is greater than significance level.
D. No, since the p-value is smaller than significance level.
c-2. What is the conclusion?
A. The law has been effective since the pvalue is less than the significance level.
B. The law has not been effective since the pvalue is less than the significance level.
C. The law has been effective since the p-value is greater than the significance level.
D. The law has not been effective since the p-value is greater than the significance level.
Answer:
a)Null hypothesis; H0: p = 0.82
Alternative hypothesis; Ha: p < 0.82
b-1) test statistic = -2.57
b-2)The p-value = 0.00545
c-1)Option B: Yes, we will reject the null hypothesis since the p-value is smaller than significance level.
c-2) Option A: The law has been effective since the p-value is less than the significance level
Step-by-step explanation:
A) We are given population mean as 82% = 0.8.l2
Thus defining the hypothesis, we have;
Null hypothesis; H0: p = 0.82
Alternative hypothesis; Ha: p < 0.82
b-1) We are told that a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. Thus; p^ = 150/200 = 0.75
Test statistic is given by the formula;
t = (p^ - p)/(√(p(1 - p)/n)
t = (0.75 - 0.82)/√(0.82(1 - 0.82)/200)
t = -0.07/0.0272
t = -2.57
b-2) From online p-value from t-value attached using; t = -2.57, significance level = 0.05, one tail distribution, and DF = 200 - 1 = 199, we have;
The p-value = 0.00545
c-1) Option B: Yes, we will reject the null hypothesis since the p-value is smaller than significance level.
C-2) We will conclude that;
The law has been effective since the pvalue is less than the significance level.
You can perform the t test for single mean to test the hypothesis.
The solutions are:
A: The null hypothesis: [tex]H_0: p= 0.82\\[/tex]
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
B: 1) The value of t statistic is -2.58
2) The p value is 0.0053
C: 1) Yes, since the p-value is smaller than significance level.
2) The law has been effective since the p-value is less than the significance level.
How to form the hypothesis?We take null hypothesis for events as if nothing changed. So we will the changed population mean to be same as before. Or [tex]H_0: p = 0.82\\[/tex]
And thus, the alternate hypothesis will be that the mean is decreased than 82% due to the new law, thus,
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
Solving for all problems:
A) We take null hypothesis for events as if nothing changed. So we will the changed population mean to be same as before. Or [tex]H_0: p = 0.82\\[/tex]
And thus, the alternate hypothesis will be that the mean is decreased than 82% due to the new law, thus,
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
B) 1) The sample size = n = 200, the percentage of people using phone is: [tex]\dfrac{150 \tiems 100}{200} = 75\%[/tex] thus p' = 0.75
The value of t statistic is calculated as:
[tex]t = \dfrac{p' - p}{\sqrt{(p)(1-p)/n}}\\\\t = \dfrac{0.75 - 0.82}{\sqrt{0.82 \times 0.18 / 200}} = -2.577[/tex]
2) p value from t table at df = 200 -1 == 199, we have p value at t = -2.58
The p value is 0.0053
C) 1) since the obtained p value is less than the significance level 0.05, thus we will reject the null hypothesis and accept the alternate hypothesis. Thus,
Yes, since the p-value is smaller than significance level.
2) Thus, the conclusion is:
The law has been effective since the p-value is less than the significance level.
The solutions are:
A: The null hypothesis: [tex]H_0: p= 0.82\\[/tex]
The alternate hypothesis: [tex]H_1: p < 0.82[/tex]
B: 1) The value of t statistic is -2.58
2) The p value is 0.0053
C: 1) Yes, since the p-value is smaller than significance level.
2) The law has been effective since the p-value is less than the significance level.
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Jill counted 20 pigs and chickens in the farm. Jack counted a total of 54 legs for the animals. How many chickens were there in the farm?
Answer:
Let the number of chickens in the farm = x
Let the number of pigs in the farm = y
Number of legs of chickens = 2*x (since chickens have 2 legs)
Number of legs of pigs = 4*y (since pigs have 4 legs)
We are given that there are a total of 20 animals (pigs + chickens)
so, number of chickens + number of pigs = 20
x + y = 20
We are given that there is a total of 54 legs in the farm
so, legs of chickens + legs of pigs = 54
2x + 4y = 54
Solving for number of chickens and pigs:
from the question, we have deduced that:
x + y = 20
2x + 4y = 54
taking the value of x from the first equation and using it in the second equation
x = 20 - y
2(20-y) + 4y = 54
40 - 2y + 4y = 54
40 + 2y = 54
2y = 14
y = 7
Using this value of y in the first equation:
x + y = 20
x + (7) = 20
x = 13
Therefore, there are 13 chickens and 7 pigs in the farm
what is the value of ÷ 2 1/3
Answer:
6÷2 1/3
Step-by-step explanation:
Which expression is equivalent to s - 0.78s +0.28s?
0.58
1.5s
O 1-0.55
s – 0.5
Answer:
0.5s
Step-by-step explanation:
the equation for x: 3(x - 4) = 3x + 2 *
Answer:
No Solution
Step-by-step explanation:
For the left side of the equation, we can use distributive property
3(x-4)= 3x+2
3x-12=3x+2
+12 +12
3x= 3x+14
-3x -3x
0 is not equal to 14
No Solution
PLEASE HURRY 100 POINTS!
Graph x > 2.
Answer:
see below
Step-by-step explanation:
We know that x > 2 that means the line at x = 2 is dotted since there is no equals sign
We shade to the right since x is greater
Answer:
sea below
Step-by-step explanation:
According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks. Which of the following statements is the correct alternative hypothesis?
a. -2.64
b. -2.32
c. -2.11
d. -1.28
e. none of these are correct
Complete Question
According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks with a sample standard deviation of the time unemployed is 6.7 weeks.
1 Which of the following statements is the correct alternative hypothesis?
2 The test statistic for testing the hypothesis is
a. -2.64
b. -2.32
c. -2.11
d. -1.28
e. none of these are correct
Answer:
1
The alternative hypothesis [tex]H_a : \mu < 15.9[/tex]
2
The test statistics [tex]z = -2.64 [/tex]
Step-by-step explanation:
From the question we are told that
The population mean value for time citizens remain unemployed is [tex]\mu = 15.9 \ weeks[/tex]
The sample size is n = 50
The sample standard deviation is 6.7 weeks.
The sample mean value for time citizens remain unemployed is [tex]\mu = 15.9 \ weeks[/tex]
The null hypothesis is [tex]H_o : \mu \ge 15.9[/tex]
The alternative hypothesis [tex]H_a : \mu < 15.9[/tex]
Generally test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{s}{\sqrt{n} } }[/tex]
=> [tex] z = \frac{13.4 - 15.9}{\frac{6.7}{\sqrt{50}}}[/tex]
=> [tex]z = -2.64 [/tex]
What is the x intercept?
Look at the picture.
Answer:
-2
Step-by-step explanation:
the x-intercept is where the line of the slope crosses the x-axis
hope this helps :3
if it did pls mark brainliest
Evaluate. 48-2^4x2.................
Answer:
16
Step-by-step explanation:
PEMDAS
Answer:
48-[tex]2^{4}[/tex]×2= 16
Step-by-step explanation:
hope it helps! good luck :)
Guadalupe Fue a la mercería a comprar 15.5 m de encaje blanco que necesitaba para la clase de costura. Si cada metro cuesta $5.60, ¿cuanto pago por todo el encaje que necesitaba?
Answer:
Costo total= $86.6
Step-by-step explanation:
Dada la siguiente información:
Guadalupe Fue a la mercería a comprar 15.5 m de encaje blanco que necesitaba para la clase de costura. Cada metro cuesta $5.60.
Si y= costo total, y x= cost por metro, entonces:
y= 5.6x
Para 15.5 metros:
y= 5.6*15.5= $86.8
Graph the line that contains the point (-2,-4) and has a slope of
1/4
Answer:
y = 1/4x - 7/2
Step-by-step explanation:
To answer this question, we have to use point-slope form:
y - y1 = m(x - x1)
Substitute the numbers into the variables:
y - (-4) = 1/4(x - (-2))
y + 4 = 1/4(x + 2)
y + 4 = 1/4x + 1/2
y = 1/4x - 7/2
To verify your answer, simply substitute the values into your equation:
-4 = 1/4(-2) - 7/2
-4 = -1/2 - 7/2
-4 = -8/2
-4 = -4
Andrea goes fishing at 9:03 a.m. She fishes for 49 minutes. What time is Andrea done fishing?
Answer:
She is done fishing at 9:52 a.m
Answer:
9:52a.m.
Step-by-step explanation:
just add