The sample size needed to obtain a margin of error of 0.05 for the estimation of a population proportion is 384.
Given margin of error of 0.05 and confidence interval of 95%.
We have to find the sample size needed to obtain a margin of error of 0.5 with confidence level of 95%.
Margin of error is the difference between real values and calculated values.
The formula of margin of error is as under:
Margin of error=z*σ/[tex]\sqrt{n}[/tex]
where
z is the critical value of z for given confidence level
n is sample size
σ is population standard deviation
We have not given population standard deviation so we will use the following formula:
Margin of error=z*[tex]\sqrt{p(1-p)}[/tex]/[tex]\sqrt{n}[/tex]
We have to find z value for 95% confidence level.
z value=1.96
We know that [tex]\sqrt{p(1-p)}[/tex]<=1/2
put [tex]\sqrt{p(1-p)}[/tex]=1/2
Margin of error=1.96*1/2/[tex]\sqrt{n}[/tex]
0.05=1.96*0.5/[tex]\sqrt{n}[/tex]
[tex]\sqrt{n}[/tex]=0.98/0.05
[tex]\sqrt{n}[/tex]=19.6
squaring both sides
n=384.16
After rounding off we will get
n=384.
Hence the sample size needed to obtain a margin of error of 0.05 is 384.
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Use the property to complete the statement.
20. Reflexive Property of Equality: m2D = ?
21. Transitive Property of Congruence:
If PQ = RS and RS = TU, then ? =
Answer:
See step by step. Use the mathematical geometric symbols not the actual words.
Step-by-step explanation:
20. Measurement of angle D
21. PQ is congruent to TU
can someone help me solve this equation?
-11v-14=v-14
Answer:
0.
Step-by-step explanation:
Add 14 on both sides:
-11v+0=v
So we have:
-11v=v
And there is only one number in the universe that can satisfy that and that is 0.
V = 0
-11v = v
0 = v + 11v
0 = 12v
0 = v
v = 0
Stephen won tickets playing the pool game at the local arcade. The first time, he won 90 tickets. The second time, he won a bonus, which was 5 times the number of tickets of the original second prize. Altogether he won 300 tickets. How many tickets was the original second prize?
Answer:
42 tickets
Step-by-step explanation:
First winning = 90 tickets
Bonus won = 5 times the number of tickets of the original second prize
Total tickets won = 300
That is ;
First winning + bonus = 300 tickets
Let :
Number Tickets won by original second price = x
Bonus = 5x
Then;
90 + 5x = 300
5x = 300 - 90
5x = 210
x = 210 / 5
x = 42
Hudson is selling water bottles at a baseball game to help raise money for new uniforms. Before the game, he buys two cases of 24 water bottles for a total of $18.50. At the game, he sells all of the bottles for $1.25 each. How much profit does Hudson make?
Answer:
12.50
Step-by-step explanation:
1.25x 24= 30
30
-
18.50
____
12.50
Number of water bottles Hudson buys :
[tex] =\tt 24 \times 2[/tex]
[tex] = \tt48[/tex]
Thus, Hudson buys 48 water bottles.
Cost price of 48 water bottles = 18.50
Cost price of 1 water bottle :
[tex] =\tt \frac{18.50}{48} [/tex]
[tex]\color{plum} =\tt \$0.38[/tex]
Thus, cost price of one water bottle = $0.38
Selling price of one water bottle = $1.25
Selling price of 48 water bottles :
[tex] = \tt48 \times 1.25[/tex]
[tex]\color{plum}=\tt \$60[/tex]
Thus, selling price of 24 water bottles = $60
Which means :
▪︎Cost price = $18.50
▪︎Selling price = $60
Profit = Selling price - Cost price :
Profit Hudson made :
[tex] =\tt 60 - 18.50[/tex]
[tex]\color{plum} = \tt\$41.5[/tex]
Thus, profit Hudson made = $41.5
We know that :
[tex]\color{hotpink}\tt \: Profit \: Percentage =\color{plum} \frac{profit \times 100}{cost \: price} [/tex]
Percentage of profit Hudson made :
[tex] =\tt\frac{41.5 \times 100}{18.50 \times 100} [/tex]
[tex] =\tt \frac{4150}{1850} [/tex]
[tex]\color{plum} =\tt 2.24\%[/tex]
Thus, percentage of profit Hudson earned = 2.24%
Therefore,● Profit Hudson made = $41.5
● Percentage of profit Hudson made = 2.24%
1. What is the value of x in the figure?
(4x + 2)
150°
A circle has a circumference of 1{,}133.541,133.541, comma, 133, point, 54 units.
What is the diameter of the circle?
units
Answer:
can u give me the formula for this then i might be able to help
Step-by-step explanation:
Answer:
360.81
Step-by-step explanation:
PLZZZZZ HELP AND HURRRRRY!
Answer:
b
Step-by-step explanation:
Find the GCF: 12,24,36
Answer:
12 is the GCF..........
Answer:
12
Step-by-step explanation:
listing the factors
12 : 1, 2, 3, 4, 6, 12
24 : 1, 2, 3, 4, 6, 8, 12, 24
36 : 1, 2, 3, 4, 6, 9, 12, 18, 36
The common factors are 1, 2, 3, 4, 6, 12
The GCF is 12
que es una expresión algebraica
Answer:
En matemáticas, una expresión algebraica es una expresión construida a partir de constantes enteras, variables y operaciones algebraicas (suma, resta, multiplicación, división y exponenciación por un exponente que es un número racional).
Step-by-step explanation:
Mr. Petersons rectangular garden had a width of 3 meters and an area of 10 square meters. This year he wants to make the garden three times as long and two times as wide? What are the the measurments of this years garden?
Answer:
Measurements of this years garden are 10 meters and 6 metres.
Step-by-step explanation:
Width of a rectangular garden = 3 meters
Area of a rectangular garden = 10 square meters
Also,
Area of a rectangular garden = length × breadth
10 = length × 3
Length = [tex]\frac{10}{3}[/tex] meters
Mr. Petersons wants to make the garden three times as long and two times as wide.
New length = 3 (length) = [tex]3(\frac{10}{3} )=10[/tex] meters
New breadth = 2(width) = 2(3) = 6 meters.
Therefore,
Measurements of this years garden are 10 meters and 6 metres.
solve each equation by substitution:
y = 6x - 17
y= -4x +23
Answer:
[tex]y = 6x - 17 \\ y = - 4x + 23 \\ then \\ 6 x - 17 = - 4x + 23 \\ 10x = 40 \\ x = 4 \\ y = 7[/tex]
the difference of 10 and a number is -2 what is the answer
Answer:
The answer is 8.
Step-by-step explanation:
This question can be written as the equation x-10=-2. With this equation in mind we can get straight ahead to solving. This is just a one-step equation and all we need to do to get our answer from this point is just add 10 to both sides using the addition property of equality and once we do that we have X=8.
Which angles and sides must be congruent to each other? Select three that apply.
2x-7=8. find the value of x
(06.01)
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? (2 points)
Group of answer choices
143
314
14 ⋅ 3.
14 ⋅ 14 ⋅ 14
Flag this Question
Question 23 pts
(06.01)
Simplify the expression 43 + 2(3 − 2). (3 points)
Group of answer choices
14
16
66
68
Flag this Question
Question 33 pts
(06.04)
What is the value of 5 + 3x when x = 4? (3 points)
Group of answer choices
12
17
32
86
Flag this Question
Question 410 pts
(06.02)
Match the verbal expression with its algebraic expression. (10 points)
Group of answer choices
x3
[ Choose ]
b ÷ 3
[ Choose ]
3a
[ Choose ]
y − 3
[ Choose ]
z + 3
[ Choose ]
Flag this Question
Question 52 pts
(06.03)
For the expression y + 6 − 3, determine the coefficient for the variable term. (2 points)
Group of answer choices
0
1
3
6
Flag this Question
Question 66 pts
(06.03)
9(5x + 1) ÷ 3y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)
p
0 words
Flag this Question
Question 74 pts
(06.04)
4x + 1 over 3 y2
What is the value of the expression above when x = 2 and y = 3? You must show all work and calculations to receive full credit. (4 points)
hellllllp
p
0 words
No new data to save. Last checked at 9:41am
Answer:
----------------------------------------------------------------------------------------------------------------
-1 and 1/3
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Step-by-step explanation:
----------------------------------------------------------------------------------------------------------------
This is for people with the question;
In the following algebraic expression, determine the coefficients.
-x-12+3/y
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Also Theres Proof ↓ [all the Way Down - Screenshot]
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Answer:
-1 and 1/3 or B hope i helped
Step-by-step explanation:
Which additional piece of information would allow you to
prove that the triangles are congruent by the HL theorem?
The additional piece of information would allow you to prove that the triangles are congruent by the HL theorem is AB ≅ DE
What is HL theorem?The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Given that two triangles Δ ABC and Δ DEF,
To prove them congruent by HL Postulate, we need one more side to be congruent, as the hypotenuse of both are already congruent.
Therefore, the sides should be either BC ≅ FE or AB ≅ DE
In options, AB ≅ DE is given.
Hence, The additional piece of information would allow you to prove that the triangles are congruent by the HL theorem is AB ≅ DE
For more references on HL theorem, click;
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Find a solution to each equation without writing anything down. 2(x+1)=10
Answer:
4
Step-by-step explanation:
ILL GIVE BRAINLIEST PLS HELP ME
Answer:
1 and 4 come in yes and 2 and 3 come into no mark as brainliest
For the salad bar, Channing must divide 8 bags of lettuce equally among 3 serving bowls. How many bags of lettuce would be in each serving bowl if they are divided equally?
Answer:
Number of bag filled in a bowl = 2.67 bags
Step-by-step explanation:
Given:
Number of lettuce bags = 8
Number of serving bowl = 3
Find:
Number of bag filled in a bowl
Computation:
Number of bag filled in a bowl = Number of lettuce bags / Number of serving bowl
Number of bag filled in a bowl = 8 / 3
Number of bag filled in a bowl = 2.67 bags
Thomas has sixty-two cents. How much money is this?
$0.62
$6.02
$62
$6.20
Done →
Answer:
$0.62
Step-by-step explanation:
Answer:
$0.62 ......................
A mug is 1/3 full. The mug contains 5/6 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.
I need this Asap :)
PLS and THANK YOU
Answer:
answer is 15/6 or 2 and 1/2 cups
What is the value of x?
Answer:
X=14
Step-by-step explanation:
We know that both sides are congruent
so if the other angle is 7- then divide 70 by 5
Hope this helps ^-^
Step-by-step explanation:
step 1. a quadrilateral has 4 sides and 360° internally.
step 2. 70 + 5x + 110(2) = 360.
step 3. 5x = 70
step 4. x = 14.
There are 9 gallons of paint for the students to use to paint the fence outside of the schoolyard. Each student has a bucket that holds 1/3 gallon. How many buckets does the 9 gallons of paint fill?
Answer:
27 buckets.
Step-by-step explanation:
If we multiply the 9 gallons of paint by the denominator of the number of gallons that fit into one of the buckets we can discover the answer to the question.
Brainliest please.
In the figure, kj and are opposite rays. 21 & 22 and KM
bisects NKL
Р
2
134
NM
L
What bisects ZJKN?
Answer:
P 2 134 2×384
Step-by-step explanation:
24×(345)3\
86, 82, 78, 74 , what is the 40th sequence
Answer:
The numbers slowly decrease by 4 so we can determine that the 40th sequence is -70.
Step-by-step explanation:
Do 4x and 15 + x have the same value when x is 5? How do you know?
Answer:
yes
Step-by-step explanation:
If x = 5,
4x=4*5=20
15+x=15+5=20
They're both the same.
Yes
Step-by-step explanation:
x = 5
4(5) = 15 + (5)
20 = 20
Pls answer...thanks.
1/2{x-1/6}+2/3=5/6+1/3 (1/2-3x)
Answer:
I think it's correct but tell me if I'm wrong
Tres hermanos naciernon en años consecutivos y la suma de sus edades en el año 2018 es 75 en que año nacio el menor
Answer:
1994
Step-by-step explanation:
x+(x+1)+(x+2)=75
3x=72
x=24
2018-24=1994
Por lo tanto, el hermano menor tiene 24 años y nació en 1996
Usando un sistema de ecuaciones, se encuentra que el menor nacio en 1994.
Tres hermanos nacieron en anõs consecutivos, o que implica que sus edades son dadas por: [tex]x, x + 1, x + 2[/tex].Suma de 75, o sea:
[tex]x + x + 1 + x + 2 = 75[/tex]
[tex]3x + 3 = 75[/tex]
[tex]3x = 72[/tex]
[tex]x = \frac{72}{3}[/tex]
[tex]x = 24[/tex]
O sea, el menor tiene 24 años en 2018.
2018 - 24 = 1994, o que implica que el menor nascio en 1994.
Un problema similar es dado en https://brainly.com/question/24646137
What's x? The question is in the picture
Answer:
8
Step-by-step explanation:
That little square means the angle between the L shape is 90 degrees.
This means that the two angles must add up to 90 degrees:
(6x+2)+(4x+8)=90
10x+10=90
10x=80
x=8
a right angle is 90 degrees. take both equations and put them together and add like terms.
10x + 10 = 90. subtract 10 from both sides.
10x = 80. divide by 10 on both sides.
x = 8