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
please tell fast plzzzzzzz
Answer:
im too dum
Step-by-step explanation:
dum dum dummy
In ∆ABC below, AD, BE, and CF are medians that intersect at G. If CG=8x and CF=9x+6, what is the value of x?
Answer:
Step-by-step explanation:
CG = [tex]\frac{2}{3}[/tex] CF
8x = [tex]\frac{2}{3}[/tex] (9x + 6)
8x = 6x + 4
2x = 4
x = 2
A bowl contains an apple, a plum, a pear, and a banana. How many different pairs of fruit can be selected from the bowl
Based on the information given about the combination, the number of different parts of fruits that can be selected from the bowl will be 6.
Solving the combination.Since the bowl contains an apple, a plum, a pear, and a banana, the different pairs of fruit that can be selected from the bowl will be 4C2.
We can solve this further which will be:
= 4C2
= 4! /2! (4 - 2)!
= 4! / 2!2!
= (4 × 3 × 2)/ 2 × 2
= 24/4
= 6
Therefore, 6 different pairs of fruit can be selected.
Learn more about combinations on:
https://brainly.com/question/11732255
PLS PLS PLS HELP ME! I WILL GIVE BRAINILIEST!
Answer:
I'm going to answer in the comments so no one steals this answer
Step-by-step explanation:
Need help it due right now at 2:00pm please help me please will mark the brainiest please
Answer:
X=2
Step-by-step explanation:
-2x+10=12-3x
-2x+3x=12-10
X=2
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
Answer:
20 times
Step-by-step explanation:
30/6 = $5 per time
100/5 = 20 times
i have to mins john made some brownies to share equllay among himself and 7 friends what fraction of brownie can each person have?
Answer:
They each get 1/8 of the brownie
Step-by-step explanation:
Hurry up! don't want you getting a zero!
4. The owner of a music store received a shipment of
stereos at a cost of $160.00 each. What will the selling
price be if he applies a 45% markup?
Answer:
232.00 hahshdoejnchbw
What is the difference between an open and closed circle when graphing inequalities?
Answer Choices
A. Open Circle is for greater than or less than symbols, closed circles are for greater than or equal to or less than or equal to.
B. Both choices are correct
C. Open Circle means that the solution cannot be the answer, closed circle means that the answer can be part of the solution.
Answer:
i think its c
Step-by-step explanation:
Open circle means that the solution cannot be the answer, closed circle means that the answer can be part of the solution. Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The difference between an open and closed circle when graphing inequalities are
A closed circle indicates "greater than or equal to" or "less than or equal to," while and open circle indicates "greater than" or "less than".
Therefore, option B is the correct answer.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
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3. In the expression 362 + 6, what will be the place value of the first digit of the quotient?
A. It will be the tens place because 6 is less than 3.
B. It will be the tens place because 6 is greater than 3.
O
C. It will be the hundreds place because 6 is less than 3.
d
D. It will be the hundreds place because 6 is greater than 3.
Answer:
B. It will be the tens place because 6 is greater than 3.
Step-by-step explanation:
Since the question said "quotient," then I believe we have 362 ÷ 6 and not "362 + 6."
If we work on the quotient we have
[tex]60\frac{1}{3}[/tex]
Obviously, the first digit in the quotient is 6 and it takes the place of tens.
Looking at the options, option B fits the most because 6 is actually greater than 3.
Therefore, the answer is option B, It will be the tens place because 6 is greater than 3.
Example
Shama has 1000 shares of par value Rs. 10 each of a company and 200 debentures of par value Rs. 100 each. The company pays an annual dividend of 10% and aninterest of 15% on debentures. Find the total income of Shama and rate of return on her investment
Answer:
are u indian ¿
:).... ........ :)
find the lcm of 24,34,30 and 36
45 people per square kilometer. If the region covers 33 square kilometers, what is the population of the region?
Multiply people per square km by total square km.
45 x 33 = 1,485 total people.
PLEASE HELP I NEED TO SHOW WORK WILL GIVE BRAINLIST
Answer:
Jahmya's Lunch cost more
Step-by-step explanation:
Stephen's Lunch
(Garden Salad) 2.29(Veggie Burger) 4.75(Lemonade) 1.292.29 + 1.29 = 3.583.58 + 4.75 = 8.33Total Cost = $8.33Jahmya's Lunch
(Fruit Salad) 2.89(Sandwich) 4.59(Water) 1.392.89 + 4.59 = 7.487.48 + 1.39 = 8.87Total Cost = $8.87Solve each system of equations algebraically x-y=6 y=-1
Answer:
x-(-1)=6
-x=6
-x/-1 6/-1
x=-6
Answer:
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x-y=6;\:y=-1[/tex]
solving
[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]
Isolate x for [tex]x+1=6[/tex]
[tex]x+1=6[/tex]
[tex]x=5[/tex]
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Please I need help and I’m stumped here.
Answer:
Step-by-step explanation:
1) For complex numbers addition, add the real parts and imaginary party separately.
(2 +5i) - (-6 + 3i) = 2 + 5i + 6 - 3i
= 2+ 6 + 5i - 3i
= 8 + 2i
2)Use FOIL method
(-4 +2i)(3 - 7i) = -4*3 + (-4)*(-7i) + 2i* 3 + (2i)*(-7i)
= -12 + 28i + 6i -14i² {i² = -1}
= -12 + 28i + 6i - 14*(-1)
= -12 + 28i + 6i + 14 {Combine like terms}
= -12 + 14 + 28i + 6i
= - 2 + 34i
3)Hint:
[tex]a^{mn} = (a^m)^{n}\\\\a^{m}*a^{n}= a^{m+n}[/tex]
[tex]\sqrt[4]{144x^{12}y^{7}} =\sqrt[4]{2*2*2*2*3*3*x^{3*4}*y^{4+3}} \\\\=\sqrt[4]{2^{4}*9*(x^{3})^{4}*y^{4}*y^{3}}\\\\=2*x^{3}*y\sqrt[4]{9y^{3}}\\\\ =2x^{3}y\sqrt[4]{9y^{3}}[/tex]
4)
[tex]\sqrt[3]{\frac{320a^{10}}{27b^{6}}}= \sqrt[3]{\frac{8*8*5a^{3+3+3+1}}{3*3*3b^{3+3}}}\\\\=\sqrt[3]{\frac{2^{3}*2^{3}*5a^{3}*a^{3}*a^{3}*a}{3^{3}b^{3}*b^{3}}}\\\\=\frac{2*2*a*a*a}{3b*b}\sqrt[3]{\frac{5a}{1}}\\\\=\frac{4a^{2}}{3b^{2}}\sqrt[3]{5a}[/tex]
5) 4x² + 28x + 49 = 4x² + 14x +14x + 7*7
= 2x(2x + 7) + 7(2x + 7)
=(2x+ 7)(2x + 7)
6) 2x² + 3x - 20 = 2x² +8x - 5x - 5 *4
=2x(x + 4) - 5(x + 4)
= (x + 4)(2x - 5)
Someone help me please
Determine the tangent of < A
Answer:
B
Step-by-step explanation:
The tangent of an angle is the ratio of the opposite side to the adjacent.
With respect to Angle A, the opposite side is 12.
And the adjacent side is 5.
Therefore:
[tex]\displaystyle\tan(A)=\frac{\text{opp}}{\text{adj}}=\frac{12}{5}[/tex]
The answer is B.
Question 1/3 There are 85 girls and 70 boys in the sixth grade. Of these students, 14 girls and 8 boys take piano lessons.
What percentage of the sixth graders at this school take piano lessons?
A. 14%
B. 22%
C. 18%
D. 12%
Answer:
A
Step-by-step explanation:
155-22/155 equal around 86% who don't so meaning 14% do take lessons.
Answer:
The answer is A.
Step-by-step explanation:
what is the range of the relation graphed below?
Answer:
D. -2 ≤ y ≤ 2
Step-by-step explanation:
Range of a Relation
It's the set of values the relation takes when x moves into the relation's domain.
It can be graphically determined by placing imaginary horizontal lines from minus infinite to plus infinite. Where the line meets the relation's graph, that value of y belongs to the range.
If we place imaginary horizontal lines from -∞ up to y=-2, we won't meet the relation's graph. Exactly at y = -2, the line and the graph have one point in common.
Moving up the line will meet the graph until exactly y=2, from where there won't be any additional interceptions.
Thus, the range of the relation is [-2,2] or, written in inequality form:
D. -2 ≤ y ≤ 2
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.
A landscaper uses 28 yards of sod over 7
days during the summer. After 6 days,
how many yards of sod will the
landscaper use? Solve using unit rates.
Answer:
4.666 repeat robuxxx vegtebles hulk
What is the y-intercept?
y=-5x+3
What is the y-intercept of the line 2x+3y = 6?
A.(0,2)
B.(2,0)
C.(0,3)
D.(3,0)
Answer:
Choice A (0,2)
Step-by-step explanation:
Solve for y:
2x + 3y = 6
3y = -2x+6
y=-2/3x+2
Sub x as 0 to find y:
y=-2/3(0)+2
y=2
Answer:
a- (0,2)
Step-by-step explanation:
PLATO
A gallon of water weighs 8.354 pounds. Simon used 11.81 gallons of water while showering. About how much pounds of water did Simon use?
Answer:
98.6607 pounds
Step-by-step explanation:
11.81 times 8.354 = 98.6607
Translate the sentence into an inequality.
The sum of 7 and w is greater than 21.
?
Answer:
[tex]7+w \ge 21[/tex]
remove the line under the arrow
Answer:
w>14
Step-by-step explanation:
"sum" means adding together. So, the sum of 7 and w would be 7+w. The equation states that this sum is greater than 21, so:
7+w>21
if you want a simplified version, subtract 7 from both sides to get w>14
Find the area of a rectangle that is 3 3/4 inches long by 2 1/4 inches wide
Answer:
8.4375
Step-by-step explanation:
multiply the sides by eachother
it helps me to translate it to decimal format :)
Tina can walk 2000 meters in 50 minutes. What is the unit rate?
Answer:
divide
50 divided by 2000
Step-by-step explanation:
Answer:
40 meters per minute
Step-by-step explanation:
If books cost $5 each how much will 6 books cost in all?
Answer:
30 dollars
Step-by-step explanation:
multiply 5 by 6 and its 30
I need help on this cause I got the last one wrong..
Answer:
"All integers are irrational numbers" False
"No whole numbers are irrational numbers" True
"Some rational numbers are not integers" True
"Some integers are not whole numbers" True
Step-by-step explanation:
I'm 100% sure of this.
How many oz. of a metal containing 40%
gold must be combined with 7 oz. of a
metal containing 90% gold to form an
alloy containing 75% gold?
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold