We can predict that around 50 of the additional 80 neighbors will feel safe in the neighborhood.
To make a prediction about the number of neighbors who will feel safe, we need to know the proportion of the initial 40 neighbors who felt safe. Let's say that 25 of the 40 neighbors surveyed felt safe.
Then, we can estimate the proportion of the larger group of 120 neighbors (the initial 40 plus the additional 80) who will feel safe as follows:
proportion feeling safe = number feeling safe / total number surveyed
proportion feeling safe = 25 / 40
proportion feeling safe = 0.625
We can use this proportion to estimate the number of the 80 additional neighbors who will feel safe:
number feeling safe = proportion feeling safe x total number surveyed
number feeling safe = 0.625 x 80
number feeling safe ≈ 50
So based on the information given, we can predict that around 50 of the additional 80 neighbors will feel safe in the neighborhood.
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Need help I’m very confused
Answer:
im not sure the answer but maybe you have to find a way 3/4 makes 7 im not sure just saying
Step-by-step explanation:
Answer: Try to multiply 3 into 7 or 3/4 and Write 7 x or ÷
Step-by-step explanation:
you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake
The number of people are 72.
What is HCF?Highest Common Factor is the full name for HCF in mathematics.
According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.
What is LCM?Least Common Multiple is the full name for LCM in mathematics.
LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.
We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.
Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.
We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:
288 / x² = (16*18) / x² = 288 / x²
Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.
As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.
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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
What is area?A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.
To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.
The total area of the cake is:
16 inches x 18 inches = 288 square inches
To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:
√(288 square inches) ≈ 16.97 inches
Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:
Each piece of cake will be approximately 16 inches by 16 inches.
To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:
288 square inches ÷ (16 inches x 16 inches) = 18
Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
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Determine whether the series is convergent or divergent.
1+12√2+13√3+14√4+15√5⋯
The series 1 + 12√2 + 13√3 + 14√4 + 15√5 + ... is convergent.
To determine whether the series 1 + 12√2 + 13√3 + 14√4 + 15√5 + ... is convergent or divergent, we can use the comparison test.
Note that for n ≥ 2, we have: n√n > n√(n-1)
This is because n√n - (n-1)√(n-1) = n(√n - √(n-1)) > 0. Therefore, we can write: n√n > (n-1)√n
Multiplying both sides by n and simplifying, we get:
n^2√n > (n-1)n√n
n^2√n > n^2√(n-1)
Taking the square root of both sides, we get: n√n > √(n-1)n
Using this inequality, we can compare the given series to the series:
1 + 12√2 + 13√3 + 14√4 + 15√5 + ...
1 + 12√2 + 13√3 + 14√4 + 15√5 + ...
1 + 12√2 + 13√3 + 14√4 + 15√5 + ...
1 + 2√2 + 3√3 + 4√4 + 5√5 + ...
Notice that the series on the right-hand side is a p-series with \(p = \frac{3}{2}\), which we know converges. Therefore, the series on the left-hand side, which is greater than the convergent series on the right-hand side, must also converge by the comparison test.
Hence, the series 1 + 12√2 + 13√3 + 14√4 + 15√5 + ... is convergent.
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Anyone that can help me with this please? Will give brainliest
Answer:
It's (C) But if you do it like this you get 13/6
Step-by-step explanation:
NEEED HELPPP !!!!!!!!!!
Answer:
X + 7 + 2x + 19 = 35
Add like terms
3x + 26 = 35
-26 -26
3x = 9
/3 /3
X = 3
The price of a pair of shoes increases from $67 to $79. What is the percent increase to the nearest percent?
The percent increase is
19.
Answer: 17.9%
Step-by-step explanation:
Whats the solution X3=9
Answer:
x=2.080084
Step-by-step explanation: take cube root
Answer:
Forgive me if i am incorrect but i am pretty sure if i am not mistaken x=3*3=9
Step-by-step explanation:
When you look at it x is attach to the 3 thus making it multiplication but you would have to do the opposite. Which is division so 9 divide by 3 is 3.
Hope this help you
Find the area and circumference of a circle with diameter 7 feet use the value 3.14 for pi
Answer:
Circumfrance= 21.991
area= 38.48
Step-by-step explanation:
2piR
R=3.5
:)
The function below shows the cost of a large pizza with different numbers of toppings (t). f(t) = 10.25 +1.25t Before tax, Carla paid $19.00 for a large pizza. How many toppings were on Carla's pizza?
A) 6 toppings C) 8 toppings
B) 7 toppings D) 9 toppings
"The correct answer is B) 7 toppings." The Carla's pizza had 7 toppings.
To find out how many toppings were on Carla's pizza, we need to solve the equation by setting the cost of the pizza equal to the amount Carla paid.
The given function is f(t) = 10.25 + 1.25t, where t represents the number of toppings on the pizza.
Carla paid $19.00 for the pizza.Setting up the equation, we have:
10.25 + 1.25t = 19.00
Subtracting 10.25 from both sides:
1.25t = 8.75
Dividing both sides by 1.25:
t = 7.
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Polynomial Regression: Method of Least Squares My Solutions Problem Description: Read Chapter 15, "General Linear Least-Squares and Nonlinear Regression," from Chapra's textbook and watch/review Lecture 11. Using the same approach as was employed to derive Eqs. (14.15) and (14.16), derive the least-squares fit of the following model: y = a1*x + a2*x^2 That Is, determine the coefficients that result in the least-squares fit for a second-order polynomlal with a zero Intercept.
To derive the least-squares fit for the model y = a1x + a2x^2 with a zero intercept, we need to minimize the sum of squared residuals. Let's denote the observed data points as (xi, yi) for i = 1 to n.
The objective is to find the values of a1 and a2 that minimize the following sum of squared residuals:
SSR = ∑(yi - (a1xi + a2xi^2))^2
To find the minimum, we differentiate SSR with respect to a1 and a2 separately and set the derivatives equal to zero.
Partial derivative with respect to a1:
∂SSR/∂a1 = -2∑(yi - (a1xi + a2xi^2))*xi = 0
Partial derivative with respect to a2:
∂SSR/∂a2 = -2∑(yi - (a1xi + a2xi^2))*xi^2 = 0
Expanding the above equations:
∑(yixi) - a1∑(xi^2) - a2∑(xi^3) = 0 ------ (1)
∑(yixi^2) - a1∑(xi^3) - a2∑(xi^4) = 0 ------ (2)
Now, let's solve these equations to find the values of a1 and a2.
From equation (1):
a1∑(xi^2) + a2∑(xi^3) = ∑(yi*xi) ------ (3)
From equation (2):
a1∑(xi^3) + a2∑(xi^4) = ∑(yi*xi^2) ------ (4)
We can express equations (3) and (4) in matrix form as:
| ∑(xi^2) ∑(xi^3) | | a1 | = | ∑(yixi) |
| ∑(xi^3) ∑(xi^4) | | a2 | = | ∑(yixi^2) |
Solving this system of linear equations will give us the values of a1 and a2.
Once a1 and a2 are determined, we have the least-squares fit of the model y = a1x + a2x^2 with a zero intercept.
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The number of points in the first five games of the basketball season are listed below. What is the mean number of points scored? GAME 1 GAME 2 GAME 3 GAME 4 GAME 5 38 29 16 42 33
Answer:
Step-by-step explanation:
To find the mean just add the scores and divide the answer by however many scores there are (in this question there are 5 scores):
\(\text{mean}=\frac{38+29+16+42+33}{5}=\frac{158}{5} =31.6\)
The mean number of points scored is 31.6
Answer:31.0
Step-by-step explanation:
82+2=84
The cost of playing pool increases with the amount of time using the table. Identify the independent and dependent quantity I'm the situation
While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is
The equation's remaining constant is the answer if the variable term eventually equals zero and the equation can be said to be true.
By isolating the variable on one side of the equation, we can arrive at a numerical value that satisfies the equation. However, in rare circumstances, the variable term may become zero while the equation is being simplified.
When a common factor is eliminated or an expression containing the variable is simplified, this can take place. The equation has a solution, and that solution is the constant value left over if, after removing the variable element, we arrive at a true assertion.
This is due to the equation's ability to be simplified to a declaration of equality between two constants if the variable term is zero. The constant value is the answer to the equation if the aforementioned assertion is accurate.
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-5(-5v+y-6 i need to find the distributive property
Answer:
25v-5y+30
Step-by-step explanation:
-5 times -5 is +25, then you just add on the v so boom 25v
-5 times y, pretend there is an invisible 1 infront of the y, 1y times -5 is -5y
-5 times -6, two negative equal a positive and 5 times 6 is 30, so -5 times -6 is also 30
what is tangent left-parenthesis a right-parenthesis end tangent?answer options with 5 optionsa.startfraction 5 over 13 endfractionb.startfraction 5 over 12 endfractionc.startfraction 12 over 13 endfractiond.startfraction 12 over 5 endfractione.startfraction 13 over 5 endfraction
the expression "tangent (a)" represents the tangent of an angle "a" measured in radians. Without knowing the value of "a", we cannot determine the value of "tangent (a)" or the correct answer among the given options.
How to solve the question?
The tangent function is a mathematical function that relates the angle of a right triangle to the ratio of the length of its opposite side to the length of its adjacent side. The notation for the tangent function is "tan".
The expression "tan(a)" or "tangent (a)" represents the tangent of the angle "a" measured in radians. The value of tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side, where the angle is formed by the hypotenuse and adjacent side of a right-angled triangle.
So, "tan(a)" is given by the formula:
tan(a) = opposite/adjacent
Now, in the given expression "tangent (a)", the value of "a" is not specified. Therefore, we cannot determine the exact value of "tangent (a)" without knowing the value of "a".
In the answer options provided, all the options are in the form of "start fraction x over y end fraction". These are known as fractional expressions or fractions. The numerator "x" represents the top part of the fraction, while the denominator "y" represents the bottom part of the fraction.
To find the value of "tangent (a)", we need to know the value of "a". Without knowing the value of "a", we cannot determine which of the given options is the correct answer.
In summary, the expression "tangent (a)" represents the tangent of an angle "a" measured in radians. Without knowing the value of "a", we cannot determine the value of "tangent (a)" or the correct answer among the given options.
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a verbal statement that represents the expression h ÷ 8.
A verbal statement could be: The quotient of h and eight
if the pencils that are 3 of a foot long are laid end to end touching, 12 how far would the row extend? a. 3 ft b. 6 ft c. 8 ft d. 9 ft
If three pencils, each measuring one foot in length, are laid end to end touching, the total distance covered by the row would be 3 feet.
Since each pencil is 1 foot long, when three pencils are laid end to end, they form a row that is 3 feet long. The key information here is that the pencils are touching, which means there are no gaps between them. Therefore, the row would extend for a total distance of 3 feet.
In this scenario, the correct answer is option a, 3 ft. The row would not extend beyond 3 feet because there are only three pencils, each measuring one foot in length. If there were more pencils or if they were not touching end to end, the total distance covered by the row would be different. However, based on the given information, the row formed by the three one-foot-long pencils would have a length of 3 feet.
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If the annual interest rate is 10%, what is the approximate monthly interest rate?
A. 0.833%
B. 0.923%
C. 0.95%
D. 0.959%
Therefore, the approximate monthly interest rate is 0.833%. Hence, option A is correct.
We need to calculate the approximate monthly interest rate. The annual interest rate is 10%.Long answerTo calculate the approximate monthly interest rate, we can use the following formula;Monthly interest rate = (Annual interest rate / 12) * 100Let us put the values in the above formula.
Monthly interest rate = (10 / 12) * 100Monthly interest rate = 0.833 * 100Monthly interest rate = 0.833%
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two fair dice are rolled. what is the conditional probability that at least one lands on 6 given that the dice land on different numbers?
The probability is \(\frac{11}{30}\) .
What is the probability?
Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, Probability has been introduced in mathematics.
F= The probability that the dice land on different numbers.
F=(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)
F = \(\frac{30}{36}= \frac{5}{6}\)
E= The event that at least one lands on 6.
E=(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
E= \(\frac{11}{36}\)
What is the probability of E, when given that F has occurred?
P= \(\frac{P(EF)}{P(F)}\) = \(\frac{1-P(EF)}{P(F)}\)
=> P = \(\frac{\frac{11}{36} }{\frac{5}{6} }\) = \(\frac{11}{30}\)
Hence the Probability is \(\frac{11}{30}\) .
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Select the correct answer.
What is the fractional form of 0.02 ?
A.
2/99
B.
1/11
C.
2/100
D.
1/12
Answer:
c
Step-by-step explanation:
volume of a sphere that has a diameter of 8 inches PLEASE HELP
Answer: 268.08in³
Formula:
V=4 π r³
3
d= 2r
Solving for V:
V=1 π d³=1·π·83≈268.08257in³
6 6
(23 pts) Let X and Y have joint density f XY (x,y)=24xy f XY (x,y)=\ matrix 24xy&x>=0,y>=0,x+y<=1\\ 0&otherwise matrix
Find the marginal density of X / Y
(1)
To find the marginal density of X/Y, we need to integrate the joint density function fXY(x, y) over the range of Y. By performing the integration, we obtain the marginal density of X/Y as a function of X. The resulting marginal density provides information about the distribution of the ratio X/Y.
The marginal density of X/Y can be obtained by integrating the joint density function fXY(x, y) over the range of Y. In this case, the joint density function is given by:
fXY(x, y) =
24xy if x >= 0, y >= 0, and x + y <= 1
0 otherwise
To find the marginal density of X/Y, we integrate fXY(x, y) with respect to y, while keeping x as a constant. The integration limits for y can be determined based on the given conditions x >= 0, y >= 0, and x + y <= 1. Since y must be non-negative, the lower limit of integration is 0. The upper limit of integration can be determined by the constraint x + y <= 1, which implies y <= 1 - x.
Integrating fXY(x, y) over the range of y, we obtain the marginal density of X/Y as follows:
fX/Y(x) = ∫[0 to (1 - x)] 24xy dy
Evaluating the integral, we have:
fX/Y(x) = 24x * ∫[0 to (1 - x)] y dy
= 24x * [(y^2)/2] evaluated from 0 to (1 - x)
= 12x * (1 - x)^2
The resulting marginal density fX/Y(x) represents the distribution of the ratio X/Y. It provides information about the likelihood of different values of X/Y occurring. The shape of the distribution can be further analyzed to understand the characteristics of the random variable X/Y.
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Find the difference of 43.1 and 0.27.
O A. 40.4
O B. 42.83
O C. 26.1
O D. 0.404
Answer:
b. 42.83
Step-by-step explanation:
\(43.1 - .27 = 42.83\)
-21 – 5q = -6 what is q
Answer:
q = -3
Step-by-step explanation:
-21 - 5q = -6
add 21 to both sides
-5q = 15
divide both sides by -5
q = -3
hope this helps!
Please help me with this math problem
Answer:
B
Step-by-step explanation:
The inequality is 1.20$ x + 3.60 < 9.60, the amount of money in total that Rammy has. As said, for each pound of peaches it would cost 1 dollar and 20 cents (1.20) So for the gallon of milk if Rammy bought it he would have 6$ left to spend on the pounds of peaches. So you do 6$ (600) divided by 1.20$ (120) and you would get 5 pounds of peaches. Therefore, Rammy can buy 5 or more pounds of peaches.
14 boys and 21 girls will be equally divided into groups. Find the greatest number of groups that can be created if no one is left out.
Answer:
7
Step-by-step explanation:
GCF of 14 and 21 is 7
When a secant line intersects a circle in two points, it creates a chord. As you have already learned, a chord is a segment whose endpoints lie on the circle. How does a chord differ from a secant line?.
A secant line is a line that intersects a circle in two different points. On the other hand, a chord is a segment whose endpoints lie on the circle.
To further discuss how a chord differs from a secant line, let's delve a bit deeper.
A chord is a line segment with endpoints that lie on the circumference of a circle. As an example, if line AB is drawn inside circle O, then AB is a chord.
A chord can be the diameter of the circle if it passes through the center.
A secant line is a line that intersects a circle at two different points. For example, when the line.
AB is drawn outside of circle O, it intersects the circle in two distinct points, C and D.
As a result, AB is a secant line.
Based on this explanation, it can be concluded that the difference between a chord and a secant line is that a chord is a line segment that connects two points on the circumference of a circle.
A secant line, on the other hand, is a line that intersects a circle in two different points.
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Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers? Negative 140 divided by negative 7 = 20 Negative 140 divided by 6 = 23.ModifyingAbove 3 with bar Negative 135 divided by negative 7 = 22.5 Negative 135 divided by negative 5 = 27
Answer:
Negative 140 divided by negative 7 = 20
Step-by-step explanation:
Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers.
Using Compatible Numbers: we round up each negative number given to the nearest whole number.
Hence:
-137.56 = -140
-6.12 = -7
Hence:
-140/-7 = -20
Therefore, the best estimate using compatible numbers is Negative 140 divided by negative 7 = 20
Find the greatest common factor of the following monomialsgh^5 10g^5h^4
Let's factor both expressions and see which ones are repeated:
• For gh⁵
We can rewrite this expression as g×h×h×h×h×h
• For 10g⁵h⁴
We can rewrite this expression as 10×g⁴×g×h×h×h×h
As you can see, both expressions have the factor g×h×h×h×h, we can rewrite it as gh⁴.
Then, the greatest common factor of the monomials is gh⁴.
4 Round 17.37 to the nearest tenth.
Answer:
17.4
Step-by-step explanation:
The Hundredths place is above four so it has to be the next number up
Answer:17.40
Step-by-step explanation:
17.37 rounded to the nearest tenth is, 17.40, because when rounding, you see if the number is 5 or up ( that means you round it up.)