Answer:
Sample 1 MOE = 37.24%
Sample 2 MOE = 29.4%
Sample 3 MOE = None
Step-by-step explanation:
We are told that 250 sheep grazes over a 40-acre pasture.
Thus, number of sheeps per acre = 250/40 = 6.25 ≈ 6
Thus, n = 6
For the samples given, we can find sample proportions as;
Sample 1: p_o = 4/6 = 0.67
Sample 2: p_o = 1/6 = 0.17
Sample 3: p_o = 9/6 = 1.5
Formula for test statistic here is;
z = √(p_o(1 - p_o)/n)
For sample 1;
z = √(0.67(1 - 0.67)/6)
z ≈ 0.19
For sample 2;
z = √(0.17(1 - 0.17)/6)
z ≈ 0.15
For sample 3;
z = √(1.5(1 - 1.5)/6)
z = √−0.125
We are not given confidence level but we will use 95%.
Value of z_α at 95% Confidence level is 1.96. Thus, we can find the margin of error for the samples;
For sample 1;
Margin of error at z = 0.19 is;
1.96 × 0.19 = 0.3724 = 37.24%
For sample 2;
Margin of error at z = 0.15 is;
1.96 × 0.15 = 0.294 = 29.4%
For sample 3;
Since test statistic has a negative square root, then it has no margin of error.
Find the value of x in the figure.
X= _
Answer:
x=35
Step-by-step explanation:
For a polygon with n sides, the sum of its interior angles is equal to
(n-2) * 180
Here, there are 6 sides, so the sum of this polygon's interior angles is equal to (6-2)* 180 = 720
Therefore, the sum of the interior angles is 720. We can add them up to get
(4x-5) + 117 + (3x-3) + (3x+6) + 118 + 4x-3
= 14x +230 = 720
subtract 230 from both sides to isolate the x and its coefficint
14x = 490
divide both sides by 14 to get x
x=35
Example 2 Determine the sum of the first 100 terms for the series 2+5+ 8 + ...
Answer:
15050
Step-by-step explanation:
Hello!
So basically, this arithmetic sequence follows the rule (3n-1). What you are looking for is the summation of (3n-1) with a lower limit of 1 and an upper limit of 100. This, plugging it into a calculator (etc. symbolab) or even calculating it manually, we get ∑↑100↓n=1⇒3n-1=15050.
Answer:
S₁₀₀ = 15050
Step-by-step explanation:
There is a common difference between consecutive terms
5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , then
S₁₀₀ = [tex]\frac{100}{2}[/tex] [ (2 × 2) + (99 × 3) ]
= 50 (4 + 297)
= 50 × 301
= 15050
Help me solve this please!
Answer Should be 45
Answered by Gauthmath must click thanks and mark brainliest
How many 9 digit palindromes are there with all the digits being even and each digit appearing no more than once
Answer:
96
Step-by-step explanation:
We have to find number of 9 digit palindromes when all digits are even and each digit appearing not more than twice.
Digits used here
0,1,2,3,4,5,6,7,8,9
Total number of even digits=0,2,4,6,8=5
Now,
0 cannot be used for first place if number is 9-digit number.
Firs place can be filled by number of ways=4
Second place can be filled by number of ways=4
Third place can be filled by number of ways=3
Fourth place can be filled by number of ways=2
Fifth place can be filled by number of ways=1
Total number of ways=[tex]4\times 4\times 3\times 2\times 1[/tex]
Total number of ways=96
Hence, total number of 9-digits palindromes when all digits are even and appearing not more than twice=96
If the class contains 11 boys and 14 girls, what is the probability of calling on a girl?
Answer: P (girl) = 14 / 25
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Number of boys = 11
Number of girls = 14
Total number of people = 11 + 14 = 25
P (girl) = Favorable / Total (refer to the attachment)
P (girl) = 14 / 25
Hope this helps!! :)
Please let me know if you have any questions
Choose the function that has two different zeros.
A.j(x) = x2 + 6x + 9
B.k(x) = x2 – 8x + 16
C.h(x) = x2 + 2x + 1
D.g(x) = x2 – 64
Answer:
D
Step-by-step explanation:
The first 3 are perfect squares and have 2 equal zeros
j(x) = x² + 6x + 9 = (x + 3)² with zeros x = - 3 , multiplicity of 2
k(x) = x² - 8x + 16 = (x - 4)² with zeros x = 4 , multiplicity of 2
h(x) = x² + 2x + 1 = (x + 1)² with zeros x = - 1 , multiplicity of 2
g(x)
x² - 64 is a difference of squares
(x - 8)(x + 8) = 0
with zeros x = - 8, x = 8 ← 2 different zeros
6.05kg, expressed in kilograms and grams
Answer:
6.05 kg, 6050 grams
Step-by-step explanation:
The kilograms were already given in your question, so that's one half done.
1 kilogram is equivalent to 1000 grams. If we multiply 6.05 by 1000, then you get 6050, the measurement in grams.
The number N is the smallest positive integer with the sum of its digits equal to 2020. What is the first (leftmost) digit of N?
Answer:
the smallest number is 5 followed by 224 nines
Samia created the following tables of values for a linear system. She concluded that there is no
solution to the system
Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.
How many solutions do a system of linear lines have?A system of equations, involving two linear lines has solutions as follows:
Unique Solution: When the lines intersect, the point of intersection is the solution.No Solution: When the lines are parallel, no solution exists.Infinite Solution: When the lines coincide, then all points on the line become solutions, giving an infinite number of solutions.How to solve the question?In the question, we are informed that Samia created the given tables for a linear system, and concluded that no solution exists for the system.
We are asked to comment on her conclusion.
To check for her conclusion, we calculate the slopes of both the lines to check whether the relations are parallel or not, as, for parallel relations, the slopes are equal.
Slope can be calculated using the formula, m = (y₂ - y₁)/(x₂ - x₁), when (x₁, y₁), and (x₂, y₂) are the points on the line.
Thus, the slope for:-
Relation 1, is m₁ = (22 - 8)/(4 - (-3)) = 14/7 = 2.
Relation 2, is m₂ = (12 - (-2))/(4 - (-3)) = 14/7 = 2.
Since the slope of the two relations is equal, that is, m₁ = m₂, and they are not coinciding with each other, we can say that the two relations are parallel to each other.
Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.
Learn more about the system of equations at
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The GCF of 10 and 18 is 6.
TRUE
FALSE
Answer:
False
Step-by-step explanation:
Because the gcf of 10 and 18 is 2
Answer:
False
Step-by-step explanation:
Any factor of a number must evenly devide into the number. 6 does not even divide into 10, so no. The GCF of 10 and 18 is 2.
[tex] \frac{1}{3} + \frac{7}{15} [/tex]
Answer:
Step-by-step explanation:
[tex]\frac{5}{15} + \frac{7}{15y} = \frac{12}{15} = \frac{4}{5}[/tex]
x + 4 < 16 what the heck is the dang answer
Answer:
x < 12
Step-by-step explanation:
x +4 <16
x < 16 - 4
x < 12
Please Mark me brainliest
HELPPP
Which shapes have the greatest area?
(Select all that apply.)
Answer is 1st and 3rd shape
Whose area is 4 units
Answered by Gauthmath must click thanks and mark brainliest
A pizza delivery man makes $50.00 a shift. If he makes $3.00 on each delivery he makes, how much
money will he make, if he makes 22 deliveries in one shift. Create an equation to represent this
situation. Write the equation in function notation. State the ordered pair for 22 deliveries and explain
your solution.
Answer:50+(3x22)=116
Step-by-step explanation:
Help with Maths Laws of Indices
1: w³×w-⁶
2: a⁴÷a-²
I need help with both
Answer:
w^-2 = 1/w^2
a^6
Step-by-step explanation:
We know that a^b * a^c = a^( b+c)
w^3 * w^ -5 = w^(3-5) = w^-2
We know that a^-b = 1/a^b
w^-2 = 1/w^2
We know that a^b ÷ a^c = a^( b-c)
a^4 ÷ a^-2 = a^(4 - -2) = a^6
Answer:
[tex]\frac{1}{ w^{2} }[/tex]
[tex]a^{6}[/tex]
Step-by-step explanation:
x^n * x^m = x ^ (n+m)
w^3 * w^ -5 = w^ -2 = [tex]\frac{1}{ w^{2} }[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
x^n ÷ x^m = x^ n-m
a^4 ÷ a^-2 = a^ 4 -(-2) = [tex]a^{ 6}[/tex]
draw the graph of the line: with a slope of -1/2 and that passes through the origin
Answer:
I hope this helps!
Find the value of x
.
Answer:
x=3
Step-by-step explanation:
The middle is the average of the top and bottom since it divides the sides into equal parts
(23+ 11x+2)/2 = 29
Multiply each side by 2
(23+ 11x+2) = 58
25+11x = 58
11x = 58-25
11x = 33
Divide by 11
11x/11 = 33/11
x=3
7. The total cost to rent a truck is $100 and $0.20 per km.
a. Determine an algebraic model for the relationship between total cost and distance driven. Use C to
represent total cost (S) to rent the truck and d to represent distance driven (km).
Answer:
C = 100 + 0.20d
Step-by-step explanation:
Let
C = Total cost
d = distance driven(km)
$100 = fixed cost
$0.20 = additional cost
The algebraic model of the relationship:
Total cost = fixed cost + (additional cost * distance driven(km))
C = 100 + (0.20 * d)
C = 100 + 0.20d
Test
Subre
Which of these graphs represents a function?
1
2
1
45-43-2-1,
1 2 3 4 5
5-4-3-
-1:
1 2 3 4
2
3
4
.5
5
W.
X.
2
-2-1,
1 2 3 4
5-4-3-2-N 1 2 3 4 5
-3
.
Y
A w
B.
Х
Ос. Ү
OD. Z
arch
O
RI
99.
a
Answer:
88
Step-by-step explanation:
that's what I got and it was right
Using the theorem of the vertical line test, the graph c represents a function
How to determine the graph?For a graph to represent a function, the graph must pass the vertical line test
The above means that each x value must point to exactly one y value
Using the above as a guide, we can conclude that the graph c represents a function
Read more about functions at:
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what is greatest to least? 39/12 109/36 75/24 10/3 19/6 (btw those are written in faction form)
Answer:
10/3, 39/12, 19/6, 75/24, 109/36
Step-by-step explanation:
Lets simplify:
10/3 = 3 1/3
39/12 = 3 3/12 = 3 1/4
19/6 = 3 1/6
75/24 = 3 3/24 = 3 1/8
109/36 = 3 1/36
3x – (7x + 2) > 5x + 4
Answer:
x < -2/3Step-by-step explanation:
3x – (7x + 2) > 5x + 4= 3x -7x - 2 > 5x + 4= -4x - 2 > 5x + 4= -4x -5x > 4 + 2 = -9x > 6= x < -2/3[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Evaluate the expression when b= -6.
b^2-6b+4
Answer:
76
Step-by-step explanation:
when b = -6
b^2 - 6b + 4
(-6)^2 - 6(-6) + 4
36 + 36 + 4 = 76
(remember, a negative times a negative always equals a positive)
... please mark as brainliest!! :)) ...
please answer and no links please ....
Step-by-step explanation:
ℎ = -4, -3×(-4)+2 = 12+2 = 14
ℎ = -2, -3×(-2)+2 = 6+2 = 8
ℎ = 0, -3×0+2 = -3+2 = 2
ℎ = 3, -3×3+2 = -9+2 = -7
ℎ = 5, -3×5+2 = -15+2 = -13
cho tam giác ABC có A(3;4), B(2;1), C(-1;-2). tìm điểm M nằm trên đường thẳng BC sao cho S ABC=3S ABM
Answer:
Step-by-step explanation:
Could someone please help me?
Answer:
ab=9 and ac=12
Step-by-step explanation:
pls help i want it now
Answer:
18kg is the correct answer
A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor.
Answer and Step-by-step explanation:
A box office predicts to open the weekend box office gross for a movie, and analysts plan to use the online trailer views as a predictor. The 66 movies and the number of the online trailers view from the trailer through the Saturday before the movie and open the weekend box office gross in a million dollars. Linear regression was performed on the data, and the result is the linear regression equation such as Y = -0.724 + 1.41X. At 0.05 level of significance, the linear relationship between the view and opening weekend is as H0: B1 = 0 H1:B is not equal to 0. To compute the test statistic, do the test. The standard error of deviation for this is Syx = 20.702, and the line model is appropriate. Click the icon to view the data on trailer views and open the weekend box office gross. The linear relationship between the trailer views and opening weekend box gross is to compute the test statistics at the level of significance. The test statistic is round to two decimal places as needed, and the p-value is round to three decimal.
The hardware store sells green buckets, which hold 7 liters of water, and white buckets, which hold 1 liter. Austin bought 8 buckets. His buckets will hold 38 liters in total. How many of each type of bucket did Austin buy?
? green buckets
? white buckets
Answer: 5 green buckets and 3 white buckets
Step-by-step explanation: each green bucket is 7 liters so if Austin buys 5 of them that'll equal 35 liters already. And each white bucket is 1 liter so if he buys 3 of those that'll get him to 38
(I will give brainliest!)
Solve for x using the distributive property
7(x-2)-3(x+3)=5(x-3)+x
Answer:
Step-by-step explanation:
7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis
7x -14 -3x -9 = 5x -15 +x , isolate like terms
7x -3x -5x -x = 14 +9 -15, combine like terms
-2x = 8, divide both sides by -2
x= -4
HELP its not 64 I keep getting it wrong for some reason :(
instructions find the perimeter of the polygon
Answer:
Step-by-step explanation:
Starting on the left side
5 + 7 = 12
7 + 6 = 13
6 + 11 = 17
11 + 5 = 16
Total = 58
