Answer:
a) point estimate for the population proportion of all customers who experienced an interruption
E = 0.029
b)
90% confidence interval for the proportion of all customers who experienced an interruption
(0.11441 , 0.16319)
C)
Size of the sample 'n' = 509
Step-by-step explanation:
Step(i):-
a)
An Internet service provider sampled 540 customers and found that 75 of them experienced an interruption in high-speed service during the previous month.
Sample proportion
[tex]p = \frac{x}{n} = \frac{75}{540} = 0.1388[/tex]
The point estimate of all customers who experienced an interruption
[tex]E = \frac{Z_{\alpha }\sqrt{p(1-p)} }{\sqrt{n} }[/tex]
Level of significance
Z₀.₀₅ = 1.96
[tex]E = \frac{1.96\sqrt{0.138(1-0.1388)} }{\sqrt{540} }[/tex]
E = 0.029
b)
90% confidence interval for the proportion of all customers who experienced an interruption
[tex]( p - Z_{0.10} \sqrt{\frac{p(1-p)}{n} } ,p + Z_{0.10} \sqrt{\frac{p(1-p)}{n} })[/tex]
[tex]( 0.1388 -1.645 \sqrt{\frac{0.1388(1-0.1388)}{540} } ,0.1388 + 1.645 \sqrt{\frac{0.1388(1-0.1388)}{540} })[/tex]
( 0.1388 - 0.02439 , 0.1388 + 0.02439)
(0.11441 , 0.16319)
c)
Margin of error
[tex]M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.03 = \frac{1.96 \sqrt{0.1388(1-0.1388)} }{\sqrt{n} }[/tex]
√n = 22.58
Squaring on both sides, we get
n = 509
Your friend thinks that the equation -3.3 = 21 is a true statement. Is your friend correct? Explain.
Hope this helps!!
can you please help me with this question .
Answer:
The answer is 4
Explanation:
5 divided by 20 is 4 right?
According to your graphing calculator what is the approximate solution to the trigonometric inequality tan(x/4)<1/5 over the interval 0<= x<=2pi radians 
0<=x<0.7896
0<=x<0.9799
0<=x<0.9870
0<=x<1.2249
The approximate solution to the trigonometric inequality will be 0<=x<0.7896. Option A is correct.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
Given inequality;
tan(x/4)<1/5
x/4 = tan⁻¹(1/5)
0<=x<0.7896
The approximate solution to the trigonometric inequality will be 0<=x<0.7896.
Hence option A is correct.
To learn more about inequity, refer to https://brainly.com/question/20383699
#SPJ2
Answer:
A. 0 <= x < 0.7896
Step-by-step explanation:
EDG
Richard and Teo have a combined age of 31. Richard is 4 years older than twice Teo's age. Write a system of equations. How old are Richard and Teo?
I need to write an equation for this, please help
Answer:
richard is 22 and teo is 9
Step-by-step explanation:
Explain why the exponent in 3.5 x 10 6 is 6 there are only 5 zeros in 3500000
Step-by-step explanation:
The given number is 3.5×10⁶. It is written in scientific form. We can first write it into standard form. There is exponent of 10 is 6.
3.5×10⁶ = 3.5×1000000
We can write 3.5 as 35/10
So,
3.5×10⁶ = (35/10)×1000000
= 3500000
One of the zero of 1000000 is divided by 10 at the denominator. Hence, the exponent in 3.5×10⁶ is 6 while there are 5 zeros in 3500000.
helppp me please will give brainliest
Answer:
y=-2x+11
Step-by-step explanation:
Which equation justifies why 9 1/3 = ∛9?
(9 1/3)³ = 9(1/3·3) = 9
(9 1/3)³ = 9(1/3+3) = 9
(9 1/3)³ = 9(1/3-3) = 9
(9 1/3)³ = 9(3-1/3) = 9
Answer:
(91/3)3=9(1/3-3)=9
Step-by-step explanation:
Answer:
hows your day
Step-by-step explanation:
Laura is saving money to buy a bike. She has $52 and is going to save an additional $8 each week. The bike costs $164. In how many
weeks will she have enough money to buy the bike?
Answer:
I would say 14 weeks.
Step-by-step explanation:
I solved it by subtracting what she already has from the price of the bike. $164-52= 112. Then I divided that by 8 cause she saving $8 a week and you get 14. So in 14 weeks she'll have enough money to buy the bike.
A city in Virginia averages 12 inches von
each year in 2016, the amount or
was 140996 the average, How many ches
of rain fall that years
A.52.4
B.56.2
C.58.8
D.54.8
A tree is currently 10 feet tall and grows 2 feet per year
Answer:
More info
Step-by-step explanation:
I need more info than that please!`
1 feet = 12 inches
3 feets= 36 inches
8 feets = 96 inches
hope this helps
Assume the year that it would take to these trees have the same height is : x (years)
After x years, type A tree has heigth: 36 +23x (inches)
After x years, type B tree has heigth: 96 +17x (inches)
We have 36+23x = 96+17x
Solve the equation, we have x=10
Conclusion: It will take 10 years to these trees have the same height.
Translate the phrase into an algebraic expression.
The product of c and 2
Answer:
c+2
Step-by-step explanation:
Im not 100% sure I understand what you mean by this but anytime it says and in a statement it means + so c+2 would be the answer.
Which of the following is the slope of the line passing through the points A(-6, 10) and B(-2, 7)
Answer:
[tex]m=\frac{-3}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define Points
A (-6, 10)
B (-2, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7-10}{-2+6}[/tex]Subtract/Add: [tex]m=\frac{-3}{4}[/tex]And we have our final answer!
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
To find the slope of the line, we use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when we are given the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
When we plug the points A(-6,10) and B(-2,7) into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], we get the equation [tex]\frac{7-10}{-2-(-6)}[/tex].
[tex]\frac{7-10}{-2-(-6)}\\= \frac{-3}{4}[/tex]
Therefore, the slope of the line is [tex]-\frac{3}{4}[/tex].
I hope this helps!
The library has 27 chairs and 5 tables. If the same nur chairs can be placed at each table? Will there be any
Answer:
no
Step-by-step explanation:
27 divided by 5 = 5.4 so there would not be enouph
Answer:
Each table will have 5 chairs, with 2 chairs leftover.
Step-by-step explanation:
27 divided by 5 equals 5 with a remainder of 2.
what is the equation of the line that has a slope of 0 and passes through the point (4,-3)?
PLEASE GUYS JUST HELPPP MEEE PLEASE
Answer:
Step-by-step explanation:
2. 27
3. 18
Answer:
s o w h a t y o u n e e d t o d o i s
Step-by-step explanation:
Which statements are true? Select the five correct answers.
Answer:
All except the last one
Step-by-step explanation:
[tex]\sqrt{1.9}[/tex]=1.37840488
[tex]\sqrt{1.8}[/tex]=1.34164079
Answer:
The first 5
Step-by-step explanation:
The confidence associated with an interval estimate is called the: Group of answer choices significance precision none of these answers is correct confidence level degree of association
Answer:
The answer is "confidence interval".
Step-by-step explanation:
The trust period is a set of values that may include confidence intervals unspecified. Whenever a representative selection is collected numerous times, its sample parameter would be a certain percentage of its confidence intervals. It shows how likely the position of a statistical parameter will be estimated.
Solve for b.
-9b = 27
Answer:
b=-3
Step-by-step explanation:
-9b/-9=37/-9
b=-3
Answer:
3
Step-by-step explanation:
I need help plz help
I am being timed. Hurry please but take your time.
An unknown fractors is between 0 and 1. Which is true about the equivalent percent and decimal?
A. O The percent and decimal are betwern 0 and 1.
B. O The percent and decimal are greater than 1 and less than 100.
C. O The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
D. O The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
Answer: D. The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.
Translate the scenario.
Team A =
Team B =
Team C =
The equation representing this scenario is
.
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
Take 4b+75 = 983
b = (983 - 75)/4 = 227
now
Team A = 5 less than twice as many as team B = 2b - 5 = 2 *227-5 = 454-5= = 449
Team B = b = 227
Team C = 80 more than team B = b+80 = 227+80 = 307
or you can just subtract 983 - (Team A +Team B)
Answer:
Team A = 449
Team B = 227
Team C = 307
Equation is
(2b-5) + b + (b+80) = 983
simplyfying
4b+75 = 983
Step-by-step explanation:
the other persons answer
Cody's Aunt pays him $30 to walk her dogs 6 times at this rate how many times must he walk the dog in order to earn $100
4x – 3y = 11
8x + 2y = 46
Answer:
y=-17 x=10
Step-by-step explanation:
4x-3y=11
8x+2y=46
8x-6y-22 8x+2(-17)=46
8x+2y=46 8x-34=46
2y-6y 46-(-22) 8x=80
-4y=68
y=-17 x=10
Evaluate 3(x + 4) + 2x - x2 for x = 5.
O A. O
O B. -4
O C. -12
O D. 40
Answer:
[tex]12[/tex] is the answer
Step-by-step explanation:
Given
[tex]x = 5[/tex]
Required
Evaluate
[tex]3(x + 4) + 2x - x^2[/tex]
To answer this question, we simply substitute 5 for x in [tex]3(x + 4) + 2x - x^2[/tex]
[tex]3(x + 4) + 2x - x^2[/tex] becomes
[tex]3(5 + 4) + 2*5 - 5^2[/tex]
[tex]3(9) + 10 - 25[/tex]
Open all brackets
[tex]3*9 + 10 - 25[/tex]
[tex]27 + 10 - 25[/tex]
[tex]12[/tex]
3 times the sum of one third of a number and 8 is 11
Answer:
3([tex]\frac{1}{3}[/tex]x+8)=11
Step-by-step explanation:
It says 3 times the sum of one third of a number and 8, so we group that expression into the parentheses. Since there is a key word is, we need to put an equal sign.
Makayla borrows $15200. Some is from her friend at 5% annual interest, 2 times as much as that from her bank at 8% , and the remainder from her insurance company at 4%. She pays a total of $968 in interest for the first year. How much did she borrow from each source?
Answer:
Amount borrowed from friend = 4000
From Bank = 8000
From insurance = 3200
Step-by-step explanation:
Given that:
Amount borrowed = $15200
Let amount borrowed from friend = x
x at 5% = 0.05x
From Bank = 2x at 8% = 0.08*2x = 0.16x
From insurance = 15200 - (x + 2x) at 4%
From insurance = 15200 - 3x at 4% ; (15200 - 3x)* 0.04 = 608 - 0.12x
Interest paid in first year = $968
Simple interest = principal * rate * time
968 =
968 = (0.05x + 0.16x + 608 - 0.12x)
968 - 608 = 0.05x + 0.16x - 0.12x
360 = 0.09x
x = 360 / 0.09
x = 4000
Hence,
Amount borrowed from friend = 4000
From Bank = 2x = 4000 * 2 = 8000
From insurance = 15200 - (4000 + 8000) = 3200
What equation has a graph that is parallel to the graph of 2X - Y = -1
Answer:
y= 2x
Step-by-step explanation:
Find the slope of the original line and use the point slope fromula y-y1=m(x-x1) to find the line parallel to 2x-y=-1
Original
y=mx+b
y=2x +1
Please help
Multiple choice
Will appreciate it if u help!
Answer:
Linear
Step-by-step explanation:
It's constant. Each X is going up 1 while each Y is going up 80
Select the correct answer. If 20% of a number is 35, what is 50% of that number?
Question: 1/10 what is the equivalent percent and decimal?
Answer:
Decimal: 0.1
Percent: 10%
Step-by-step explanation:
Answer:
0.1 as decimal or 10% as percentage