A survey questioned 4,000 community members about how a certain parcel of land should be used (for
a park or a shopping center). If 1,599 of those surveyed responded in favor of a park, what is the
sample proportion for this population? Round to the nearest hundredth.
Answers
Using it's concept, it is found that the sample proportion for this population is of 0.4.
The estimate of the sample proportion for a population is given by the number of desired outcomes divided by the size of the sample.In this problem:
1,599 of those surveyed responded in favor of the park.The sample size is of 4,000.Hence:
\(p = \frac{1599}{4000} = 0.4\)
The sample proportion for this population is of 0.4.
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Related Questions
The residual plot shows the residuals for the day of the month and the amount in Kali’s checking account. Which statement best assesses the linearity of the relationship between the day of the month and account balance if the scatterplot appears to be reasonably linear?
A) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
B) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
C) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
D) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
Answers
The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.
When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).
If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.
Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.
Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.
In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
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Answer:
person above
Step-by-step explanation:
the obvious
PLEASE ANSWER QUICKLY!!!!
10.A school purchases boxes of candy bars.
- Each box has 50 candy bars
- Each bos costs $30
How much does the school have to charge for each candy bar to make a
profit of $10 per box?
Answers
9514 1404 393
Answer:
$0.80
Step-by-step explanation:
The cost of each box is $30. To make a profit of $10, the 50 candy bars must be sold for a price that will generate $30 +10 = $40 in revenue:
$40/(50 bars) = $(4/5)/bar = $0.80 per bar
The school must charge $0.80 for each candy bar to make a profit of $10 per box.
PLEASE HELP WILL MARK BRAINLIEST!
Answers
Answer:
x=4.5 or 9/2
Step-by-step explanation:
\(\frac{6}{3}\)=\(\frac{9}{x}\)
Then, cross multiply
6×X=6x
9×3=27
6x=27
x=4.5
3x+ 2X+15x =
\(3 x + 2 x + 15 x =\)
Answers
Step-by-step explanation:
3x+2x+15x=20x
hope it helps.
Answer:
9° Or 20x
Step-by-step explanation:
2x+3x+15x = 180°
20x = 180°
x = 180°÷20
x = 9°
Or,
2x+3x+15x = 20x
At Nautilus High School, the probability that their boys team wins a volleyball game is 0.4 and the probability that their girls team wins a badminton game is 0.7. What is the probability that both teams LOSE their next game, if winning a volleyball game is independent of winning a badminton game?
Answers
Answer:
Step-by-step explanation:
Boy's lose volleyball game=1-0.4=0.6
Girl's lose Badminton game=1-0.7=0.3
Both teams lose game=0.6×0.3=0.18
Determine whether y is a function of x and if the function is one to one
Answers
ANSWER:
y is a function of x and the function is a one-to-one function.
EXPLANATION:
Given:
To:
Determine whether y is a function of x and if the function is one to one
Recall that, for a relation to be termed a function, each input value (x-value) must have exactly one output value(y-value).
Looking at the given table, we can see that each x-value is mapped to exactly one y-value, therefore, we can say that the relation is a function.
To determine if a function is a one-to-one function, every y-value must have exactly one corresponding x - value.
Looking at the table, we can also see that every y-value is mapped to exactly one corresponding value of x, so the function is a one-to-one function.
Therefore, we can say y is a function of x and the function is a one-to-one function.
9-3/1/3+1
Please solve
Answers
Answer:
20/3 or 6 2/3
Step-by-step explanation:
Hope this helps :)
Answer:
9
Step-by-step explanation:
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
What is a coterminal angle of pi/4?
9pi/4 pi/2 3pi/4
Answers
The angle 9pi/4 is a positive coterminal angle of pi/4.
What is a coterminal angle?
Two angles are called coterminal if they have the same initial and terminal sides. In other words, two angles are coterminal if they differ by a multiple of 360 degrees or 2π radians. For example, 30 degrees and 390 degrees are coterminal angles, as are π/4 and 9π/4.
A coterminal angle of pi/4 can be found by adding or subtracting any multiple of 2pi until we get an angle between 0 and 2pi that is equivalent to pi/4.
One way to find a positive coterminal angle is to add 2pi:
pi/4 + 2pi = 9pi/4
So, The angle 9pi/4 is a positive coterminal angle of pi/4.
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Simplify (−3)4 and −34. Show all the work
Answers
Answer:
-12
Step-by-step explanation:
(-3)4
-3*4
-12
Elaborate ur question about - 34
A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 4x. The container must contain 12ft^3. The top and the bottom will cost $1.50 per square foot, while the four sides will cost $4.50 per square foot.
What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. The answer should be written in ft.
Answers
The height of the container should be equal to 2.57 cm, so as to minimize cost.
How to calculate the height?First of all, we would determine the volume of the rectangular container by using this formula:
Volume = l × w × h
Where:
l represents the length.w represents the width.h represents the height.Substituting the given parameters into the formula, we have;
Volume = x × 4x × h
Volume = 4x²h
At a volume of 12 ft³, we have:
12 = 4x²h
h = 12/4x²
h = 3/x²
For the total area of top and bottom, we have:
Area = (x × 4x) + (x × 4x)
Area = 4x² + 4x²
Area = 8x² sq. units.
Thus, the cost of top and bottom is given by:
Cost = 8x² × 1.50
Cost = $12x²
For the total area of all four sides, we have:
Area = (x × h) + (x × h) + (4x × h) + (4x × h)
Area = xh + xh + 4xh + 4xh
Area = 10xh sq. units.
Thus, the cost of all four sides is given by:
Cost = 10xh × 4.50
Cost = $45xh.
Also, the cost function would be given by:
C(x) = 12x² + 10xh
C(x) = 12x² + 10x(3/x²)
C(x) = 12x² + 30/x
Taking the first derivative, we have:
dC/dx = 24x - 30/x²
24x = 30/x²
24x³ = 30
x³ = 30/24
x = 1.08
Therefore, the height will be:
h = 3/x²
h = 3/1.08²
h = 3/1.1664
Height, h = 2.57 cm.
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The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Find
the average of the two numbers 36 and 72.
The solution is
Answers
Answer:
\(54\)
Step-by-step explanation:
Formula for average A of two numbers m and n is:
\(A=\frac{m+n}{2}\)
Substitute the value m=36 and n=72
\(A=\frac{36+72}{2}\)
This is equivalent to:
\(A=\frac{108}{2}\)
The average is:
\(A=54\)
James divided the candy bar
into 4 parts.
He gave 1 part to his friend.
Answers
Answer:
If he gave 1 part to his friend then he will have 3 parts left. Is that what you needed help on?
Let
X
represent the full height of a certain species of tree. Assume that
X
has a normal probability distribution with mean 127.2 ft and standard deviation 27.5 ft.
You intend to measure a random sample of
n
=
192
trees. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places.
Answers
We have Ux = 127.2 ft while we have σx = 1.985 ft
How to solve for the valuesThe normal distribution = 127.2 ft
The standard deviation = 27.5 ft
The random sample n is given as n = 192 trees.
sd / √n
= 27.5/√192
= 1.985 ft
Hence we have Mx = 127.2 ft
σx = 1.985 ft
127.2 + 2(1.985) = 131.17
127.2 - 2(1.985) = 123.23
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Is 7/2 the same as 1/5
Answers
Answer:
No.
Step-by-step explanation:
Calculation: 2/4 + 3/4 - fraction calculator. Result: 5/4 = 1 1/4.
Please help me explain this
Rewrite a number in a base other than ten
Add two or three numbers in a base other than ten
Subtract two numbers in a base other than ten
Why do we learn to work with numbers in different bases?
Answers
Explanation:
You want a tutorial and a rationale for writing numbers and doing arithmetic in bases other than 10.
A. Rewrite a numberFor integers, an easy way to write a number in a different base is to repeatedly divide by the desired base, and list the remainders right to left.
Example 1: convert 67 to base 3:
67÷3 = 22 r 122÷3 = 7 r 17÷3 = 2 r 12÷3 = 0 r 267₁₀ = 2111₃
Example 2: convert 44 to base 3:
44÷3 = 14 r 214÷3 = 4 r 24÷3 = 1 r 11÷3 = 0 r 144₁₀ = 1122₃
B. Add two numbersThe usual rules of addition apply. A sum of two digits that equals or exceeds the value of the base causes a carry to the next digit to the left. (It can be convenient to write the carries on a separate line.)
In the first attachment, the sum of the two numbers above is developed in base 3. The relevant addition facts for base 3 are ...
1+1 = 21+2 = 102+2 = 11Of course, zero (0) is still the additive identity element.
C. Subtract two numbersThe usual rules of subtraction apply. When a larger digit is subtracted from a smaller one, a "borrow" is indicated from the digit immediately to the left. The relevant subtraction facts for base 3 are ...
0 - 2 = 1 (borrow 1)0 - 1 = 2 (borrow 1)1 - 2 = 2 (borrow 1)1 - 1 = 02 - 2 = 02 - 1 = 1Example: 67 -44 = 23, done in base 3
For subtraction of a smaller number from a larger one, it can work well to do the computation left to right:
2111 -1122 = ...
4th digit: 2 - 1 = 1
3rd digit: 1 - 1 = 0
2nd digit: 1 - 2 = 2 (borrow 1 from 3rd digit: 0 - 1 = 2, borrow 1 from 4th digit: 1 - 1 = 0). The difference is now 0 2 2 x
1st digit: 1 - 2 = 2 (borrow 1 from 2nd digit: 2 - 1 = 1). The difference is now ...
2111 -1122 = 0212, done in base 3
D. RationaleConsider the expanded forms of the sum and difference numbers in base 3:
11010₃ = 1×3⁴ +1×3³ +0×3² +1×3¹ +0×3⁰ = 81 +27 +3 = 111₁₀ (67+44=111)
212₃ = 2×3² +1×3¹ +2×3⁰ = 18 +3 +2 = 23₁₀ (67-44=23)
These forms clearly show the place value of a digit position is given by the corresponding power of the number base. You see this when you write base-10 numbers in expanded form. The point is driven home by working with numbers in other bases.
In short, working with numbers in other bases gives you a better understanding of place value.
__
Additional comment
Fractions can be converted to a different base by multiplying the fraction by the base, then using the integer digit as the next digit to the right.
Consider 5/9 in base 3:
5/9 × 3 = 1 2/32/3 × 3 = 2Then 5/9 in base 3 is 0.12
As with base 10, any fraction that cannot be written using a power of the base as its denominator will have a repeating fractional part. For example, ...
1/10 = 0.00220022...(4-digit repeat) in base 3
Sixty-four students voted for Morgan. Two times as many students voted for Whitney. How many students voted altogether?
Answers
A total of 192 students voted altogether.
What is an addition operation?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as an addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
Given:
The number of students who voted for Morgan = 64.
Let the number of students who voted for Whitney = n.
According to the question,
n = 2 times the number of students who voted for Morgan
n = 2 x 64
n = 128.
The total number of students who voted = 64 + 128
The total number of students who voted = 192.
Therefore, the required number of votes is 128.
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Which expression correctly represents “eight times the difference of four and a number”? 8 (n minus 4) 8 (4 minus n) 8 (n) minus 4 8 (4) minus n
Answers
Answer:
8(4 - n)
Step-by-step explanation:
Which expression correctly represents “eight times the difference of four and a number”? 8 (n minus 4) 8 (4 minus n) 8 (n) minus 4 8 (4) minus n
Do it one piece at a time.
“eight times the difference of four and a number”: n
“eight times the difference of four and a number”: 4 - n
“eight times the difference of four and a number”: 8(4 - n)
Answer:
the answer is b
Step-by-step explanation:
Fifteen hungry kittens found a bucket of sausages. Each time they cut a sausage or a part of a sausage, they cut it into exactly two new pieces. They made 20 cuts in all and each kitten got 2 (maybe unequal) pieces of sausage. How many sausages were in the bucket?
Answers
Answer:
There is a total of 10 sausages. I am 100% sure.
Step-by-step explanation:
A bucket of sausages fed 15 hungry kittens. Each sausage or half of a sausage is sliced into two pieces. They chopped 20 sausages and gave each kitten two (perhaps unequal) portions. Therefore, there were 34,952 sausages in the bucket.
At the start, there is one sausage bucket, and the 15 kittens want to share it.
The first cut divides the sausage into two pieces.
After the second cut, there are four pieces of sausage.
After the third cut, there are eight pieces.
After the fourth cut, there are 16 pieces.
As we can observe, the number of pieces of sausage doubles with each cut. After 20 cuts, there will be 2²⁰ (2 raised to the power of 20) pieces of sausage.
Now, since each kitten received two pieces of sausage, the total number of sausages in the bucket can be calculated by dividing the total number of pieces by 2 × 15 (since there are 15 kittens).
Total sausages = (2²⁰) / (2 × 15)
Let's simplify this:
Total sausages = 2¹⁹ / 15
Now, let's calculate the value:
Total sausages = 524,288 / 15
Total sausages = 34,952.53
Since you can't have a fraction of a sausage, we need to round down to the nearest whole number.
Therefore, there were 34,952 sausages in the bucket.
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help triangle sum therom and idk what to do
Answers
The triangle sum theorem states that the 3 angles in a triangle equal 180.
Since we have a 90 degree angle shown, we can add it to the other two and set it equal to 180.
30+90+6x-12=180
108+6x=180
6x=72
x=12
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answers
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
Directions: Find each missing measure
Answers
Answer:
Q9: x = 27, Q10: x = 17
Step-by-step explanation:
ASAP What is the rule for this relation? i will give brainliest
Answers
Answer:
your selected answer is right
F(x)= x^2 - 7x +12
The above equation is in standard form. Write the above equation in factored form
f(x) = (x-r1)(x-r2)
r1 represents first root, r2 represetnts second root
What are the roots?
Remember, x-r1 = 0 and x-r2=0
Answers
Answer:
f(x) = (x - 3)(x - 4)
Step-by-step explanation:
f(x)= x^2 -7x +12 factors immediately into f(x) = (x - 3)(x - 4
The roots are 3,4
Y
4
3+
2+
1+
30
-4
-3-2
-1
1
2
CO
3
4
-1+
-2+
-3
-4-
41
What is the slope of the line?
Answers
Answer:
1
Step-by-step explanation:
Using two points on the line, (0, -3) and (3, 0),
\( Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} \)
Let,
\( (0, -3) = (x_1, y_1) \)
\( (3, 0) = (x_2, y_2) \)
Plug in the values
\( Slope (m) = \frac{0 -(-3)}{3 - 0} = \frac{3}{3} = 1 \)
Slope = 1
9. D 10 6 D, Z, L OL, P P, J C J, E 10 2 6 X 10 2 म P Which points are on the axes 9 units from the origi 6 N 10
Answers
The correct option is C. P, J : 9 units from this origin, points are on the axes.
Explain about the coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane.
The x-coordinate and indeed the y-coordinate are two numbers that define a point's location on a 2D plane. The left-to-right or horizontal direction of a point is determined by the x-coordinate, which is always succeeded by the y-coordinate in an ordered pair. The vertical, up-and-down position of a point is determined by the y-coordinate.Other coordinate types include:
the North/South and East/West map coordinates.3-dimensional coordinates; polar coordinates (distance, angle);Thus, Points P, J are 9 units from this origin which lies on the negative x axis and negative y axis respectively.
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Complete question is-
Which points are on the axes 9 units from the origin?
A.
D, Z, L
B.
L, P
C.
P, J
D.
J, E
The graph the question is attached.
y-3=2(x+1) please please help
Answers
Answer:
y=2x+5
Step-by-step explanation:
distribute 2 to x and 1, do this by multiplying each.
you should get y-3=2x+2.
then you have to move the -3 from the left to the right. but when you do this you have to change the -3 to a positive 3. then combine 3 and 2.
you then get the answer, y=2x+5.
Which number below is NOT equal to the others?
1/8
18/10
1.8
1 4/5
Answers
Answer:
1/8
Step-by-step explanation:
When worked out, all numbers are equal to 1.8 except 1/8. (1/8 is equal to .125)
1/8) 1 divided by 8 is .125
18/10) 18 divided by 10 is 1.8
1.8) 1.8=1.8
1 4/5) 4 divided by 5 is .8, and when you add the 1 it ends up as 1.8
The circumference of a circle is 56.52 meters. What is the radius of the circle?28.26 m9 m18 m4.5 m
Answers
Solution:
Given:
Circumference = 56.52m
We are required to determine the radius
\(\begin{gathered} Circumference\text{ of a circle = 2}\pi reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee \\ Thus,\text{ } \\ 56.52=2\text{ } \end{gathered}\)The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence -1, -5, -9, ...?
an = -1 + 4( n - 1)
an = -1 + (-4)( n - 1)
an = 4 + (-1)( n - 1)
an = -4 + (-1)( n - 1)
Answers
Answer: The correct formula for the sequence -1, -5, -9, ... is an = -4 + (-1) n - 1). This formula uses the common difference of -4 and the first term of -1 to calculate the value of the nth term in the sequence.