Answer:
the answer is 12x^2.
Step-by-step explanation:
you multiply -4 by -3
Find the distance between the points (-18, -20) and (8, -20).
Answer:
26.
Step-by-step explanation:
As the 2 y coordinates are the same the distance is
8 - (-18)
= 8 + 18
=26.
there are 100 sample bottles of cough medicine in the cupboard. if you give 25 bottles away, what percentage is left in the cupboard?
Answer: 75%
Step-by-step explanation:
common sense
The principal would like to assemble a committee of 8 students from the 12-member student council. How many different committees can be chosen?
Answer: 4 committees
Hope this helps! :)
I need brainliest please.
a political candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that supports him/her. if the candidate wants a 1% margin of error at a 95% confidence level, what size of sample is needed? be sure to round accordingly. the candidate would need to survey people in the community in order to be within a 1% margin of error at a 95% confidence level.
In order to be within a 1% margin of error at a 95% confidence level, the candidate would need to survey 9604 people in the community. The size of the sample is 9604.
We have a political candidate who wants a 1% margin of error at a 95% confidence level. To find the size of the sample, we use the formula given below;
n = [ Z (α/2) / E ]²
Where,
n = the sample size required
Z (α/2) = the value obtained from the standard normal distribution for the given level of confidence
E = the margin of error
Here, α = 1 - 0.95 = 0.05
Z (α/2) = Z (0.025), is the z-value corresponding to 0.025 in the normal distribution table. It is found to be 1.96.
Now, substituting the given values in the formula,
n = (1.96² * 0.5 * 0.5) / 0.01² ⇒ 9604
Hence, the sample size required for the poll is 9604.
However, this is not feasible, as it would be very expensive and time-consuming. Therefore, we will round the answer to the nearest whole number as we are looking for a practical solution. Thus, the candidate would need to survey 9604 people in the community (rounded to the nearest whole number).
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I NEED HELP ASAP I WILL MARK BRAINLIST
Answer:
The answer is A
Step-by-step explanation:
B was the closest but it's A
Determine the scale factor of the dilation, if OA = 7 and OA' = 21.
Answer:
i think its 3
Step-by-step explanation:
21/7=3
The second figure OA' divided by first figure OA = 21/7=3
evaluate when a=15:2(a-5)+2
Answer:
22
Step-by-step explanation:
if a=15
then, 2(a-5)+2= 2(15-5)+2 = 2(10)+2= 20+2=22
Is this correct?
Select the appropriate words to complete the following statements.
A. (Wider) (Narrower) (Stays the same)
(Up) (Down) (Stays the same)
B. (Wider) (Narrower) (Stays the same)
(Up) (Down) (Stays the same)
h(x) is wider than f(x) and translated 1 unit up.
g(x) is narrower than f(x) and translated 3 units down.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
a)
f(x) = x²
h(x) = 3x² + 1
This means,
f(x) is dilated with a scale factor of 3 and translated one unit up.
So,
h(x) will be wider than f(x).
b)
f(x) = x²
g(x) = (1/2)x² - 3
This means,
f(x) is dilated with a scale factor of 1/2 and translated to 3 units down.
So,
g(x) will be narrower than f(x).
Thus,
h(x) is wider than f(x) and translated 1 unit up.
g(x) is narrower than f(x) and translated 3 units down.
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answer this please :(
HELP PLEASE THIS IS DUE
Graph each equation.
6x + 3y = 6
Answer:
A
Step-by-step explanation:
y=−2x+2
someone please help me
Answer:
y=3/1x+7
Step-by-step explanation:
Hope this helps
evaluate the expression when c=4 and y=3 \(8 {x}^{2} + \frac{51}{y} \)simplify as much as possible
EXPLANATION:
The steps to follow to evaluate an expression are the following:
-We must first replace the values in the corresponding assigned variable.
-Then we must begin to perform the operations of higher degree in this case, first solve the fraction, as well as double the 4.
The exercise is as follows:
\(\begin{gathered} 8x^2+\frac{51}{y} \\ 8(4)^2+\frac{51}{3} \\ 8(16)+17 \\ 128+17 \\ 145 \\ \text{the answer is 145} \end{gathered}\)y=−16x ^2 +240x+115 ?
Answer:
Step-by-step explanation:
$y = -16x^2 + 240x + 115$
$= -16x^2 + 240x + 120 - 5$
$= -16x^2 + 240x + 120 - 5x - 5x$
$= -16x^2 + 240x + 120 - 10x - 5x$
$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2$
$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x$
$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x$
$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x + 3 - 3$
$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x + 0
We survey 100 retired baseball players and 20 of them indicate that they used steroids.
Obtain a 95% confidence interval to estimate the population proportion of retired baseball players who used steroids.
A 95% confidence interval to estimate the population proportion of retired baseball players who used steroids is: (1.9216, 0.2784)
How to find the confidence interval?The formula for confidence interval for proportion is:
CI = p ± z√(p(1 - p)/n)
where:
p is sample proportion
n is sample size
z is z-score at confidence level
n = 100
p = 20/100 = 0.2
z-score at 95% CL = 1.96
Thus:
CI = 0.2 ± 1.96√(0.2(1 - 0.2)/100)
CI = 0.2 ± 0.0784
CI = (1.9216, 0.2784)
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find the value of x and y pls help
Answer:
x = 50° and y = 80°
Step-by-step explanation:
x + 130° = 180° { being linear pair }
x = 180° - 130°
x = 50°
And we can see in the triangle two sides are equal so it is an isosceles triangle so the base angles are also equal.
Then
y + 50° + 50° = 180° { being sum of angles of triangle }
y + 100° = 180°
y = 180° - 100°
y = 80°
Hope it will help :)❤
NO LINKSSSSSSSSSSSS please help
Answer:
I know this aint no clever bro cmon that stuff is easy
Step-by-step explanation:
Marcus is selling lemonade and peanuts.Each cup of lemonade cost $0.75 and each bag of peanuts cost $0.35. On Saturday Marcus sold 5 more cups of lemonade than bags of of peanuts. He earned $7.05. How many cups of lemonade did Marcus sell on Saturday?
A closed rectangular box (top included) is to be constructed with a square base. The material for the top of the box costs $1 per square foot and the remaining sides are $2 per square foot. If the total cost of materials for one box is $36, find the dimensions of the box that will have the greatest volume.
The dimensions of the box that will have the greatest volume are:
Length and width of the base: 2√3 feet
Height: h = (36 - x^2) / 8x = (√3)/2 feet
Let the length and width of the base be x, and let the height be h.
The surface area of the top is x^2, and the surface area of the remaining four sides is \(2(xh + xh) = 4xh\).
The cost of the top is \(x^2\), and the cost of the remaining four sides is \(2(4xh) = 8xh\). Therefore, the total cost is:
\(C(x,h) = x^2 + 8xh\)
We know that the total cost is $36, so we have:
\(x^2 + 8xh = 36\)
Solving for h, we get:
\(h = (36 - x^2) / 8x\)
The volume of the box is given by:
\(V(x,h) = x^2h\)
Substituting h in terms of x, we get:
\(V(x) = x^2 ((36 - x^2) / 8x)\)
Simplifying, we get:
\(V(x) = (1/8) x (36x - x^3)\)
To find the dimensions of the box that will have the greatest volume, we need to find the value of x that maximizes V(x). We can do this by taking the derivative of V(x) with respect to x, setting it equal to 0, and solving for x:
\(V'(x) = (1/8) (36 - 3x^2) = 0\)
Solving for x, we get:
x = 2√3
Therefore, the dimensions of the box that will have the greatest volume are:
Length and width of the base: 2√3 feet
Height: \(h = (36 - x^2) / 8x\) = (√3)/2 feet
The volume of the box is:
\(V = x^2h\)= (2√3)^2 ((√3)/2) = 9√3 cubic feet
Note: To confirm that this value represents the maximum volume, we can check that V''(x) < 0, which indicates a maximum point. We have:
\(V''(x) = (1/8) (-6x) = -3x/4\)
At x = 2√3, V''(x) = -3(2√3)/4 = -3√3/2 < 0, so this is indeed a maximum point.
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∠2 = 4x-4 and ∠4 = x+50
The value for angle 2 = 4x-4 and ∠4 = x+50 is 68°.
How to calculate the value?It is important to note that vertical angles are equal.
It was stated that ∠2 = 4x-4 and ∠4 = x+50 are vertical angles. This will be represented as:
4x - 4 = x + 50
Collect like terms
4x - x = 50 + 4
3x = 54
Divide
x = 54 / 3
x = 18
Therefore, the angle will be:
= x + 50
= 18 + 50
= 68°
The complete details is written below.
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∠2 = 4x-4 and ∠4 = x+50 are vertical angles. Find the value of the angle.
for which value of c will the equation 2x - 5 = 2x - c have an infinite number of solutions? select all that appy
A 3
b 4
C 5
D 6
Answer:
d po
Step-by-step explanation:
i hope its help
carry on learning
a large national study finds that 10% of pregnant women deliver prematurely. a local obstetrician is seeing 20 pregnant women in the next week at their clinic. (round answers to 3 decimal places)
The probability that fewer than 3 women will deliver prematurely is 1/20.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. The total number of positive outcomes as well as the probability of any given event depend on each other. The probability is typically defined as the proportion of favorable outcomes to all outcomes in the sample space. Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).So, 10% of 20:
20/100 × 10 = 2 (Which is less than 3)Then, Premature delivery (Of fewer than 3 women) = 1Total events = 20P(E) = favourable/total events1/20Therefore, the probability that fewer than 3 women will deliver prematurely is 1/20.
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The correct question is given below:
A large national study finds that 10% of pregnant women deliver prematurely. a local obstetrician is seeing 20 pregnant women in the next week at their clinic. what is the probability that fewer than 3 of them will deliver prematurely?
Find an equation of the sphere with points \( P \) such that the distance from \( P \) to \( A(-2,5,2) \) is twice the distance from \( P \) to \( B(6,3,-3) \). Find its center and radius. \[ \text {
The equation of the sphere is (x + 4)² + (y - 1)² + (z - 1)² = 64/3. The center of the sphere is (-4, 1, 1) and the radius is √(64/3) = 4√(3/3) = 4.
Let's denote the center of the sphere as C(x, y, z) and the radius as r. We need to find the values of x, y, z, and r that satisfy the given condition.
The distance between a point P(x, y, z) and another point Q(x₁, y₁, z₁) can be calculated using the distance formula: d(PQ) = √[(x - x₁)² + (y - y₁)² + (z - z₁)²].
According to the given condition, the distance from P to A is twice the distance from P to B. Mathematically, this can be expressed as:
√[(x + 2)² + (y - 5)² + (z - 2)²] = 2√[(x - 6)² + (y - 3)² + (z + 3)²].
To simplify the equation, we square both sides:
(x + 2)² + (y - 5)² + (z - 2)² = 4[(x - 6)² + (y - 3)² + (z + 3)²].
Expanding and simplifying the equation yields:
x² + 4x + 4 + y² - 10y + 25 + z² - 4z + 4 = 4x² - 48x + 144 + 4y² - 24y + 36 + 4z² + 24z + 36.
Rearranging the terms and combining like terms:
3x² + 14x + 3y² - 34y + 3z² - 28z + 29 = 0.
Comparing this equation with the standard form of the sphere equation, (x - h)² + (y - k)² + (z - l)² = r², we can identify that the center of the sphere is C(-4, 1, 1) and the radius is r = √(29/3) = 4√(3/3) = 4.
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The complete question is
What is the equation of the sphere with points P, such that the distance from P to point A(-2, 5, 2) is twice the distance from P to point B(6, 3, -3)? Also, determine the center of the sphere in the form (x, y, z) and the radius of the sphere.
What are lim x→∞ g(x) and lim x→−∞g(x)? Briefly explain your answer.
Given the function:
\(g(x)=-3x^5+2x^4-5x^2+8\)Let's find the limit of the function as x approaches infinity and also as x approaches negative infinity.
We have:
\(\begin{gathered} \lim _{x\to\infty}-3x^5+2x^4-5x^2+8 \\ \\ \lim _{x\to\infty}g(x)=-\infty \end{gathered}\)The limit at infinity of a polynomial whose leading coefficient is negative is negative infinity.
• Also, the limit of the function at negative infinity:
\(\begin{gathered} g(x)=-3x^5+2x^4-5x^2+8 \\ \\ \lim _{x\to-\infty}g(x)=\infty \end{gathered}\)The limit at negtaive infinity of a polynomial whose leading coefficient is negative is infinity.
ANSWER:
\(\begin{gathered} \lim _{x\to\infty}g(x)=-\infty \\ \\ \lim _{x\to-\infty}g(x)=\infty \end{gathered}\)[70, 73) c− [67, 70) d [63, 67) d [0, 63) f is this grading function a one-to-one correspondence? prove or disprove.
Therefore, The grading function is not a one-to-one correspondence since two numerical ranges, [70, 73) and [67, 70), have the same grade assigned to them.
Explanation:
A one-to-one correspondence means that each input has a unique output and vice versa. In this case, the grading function assigns a grade to a numerical range.
To determine if it is a one-to-one correspondence, we need to check if any two numerical ranges have the same grade assigned to them.
Looking at the given ranges, we can see that there is an overlap between [70, 73) and [67, 70) since they share the grade. Therefore, this grading function is not a one-to-one correspondence.
Therefore, The grading function is not a one-to-one correspondence since two numerical ranges, [70, 73) and [67, 70), have the same grade assigned to them.
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A box plot is a representation of data in which we divide the data into 4 quarters. The five key features (five-number summary) are the minimum, lower
The five-number summary includes the minimum value, lower quartile (Q1), median, upper quartile (Q3), and maximum value. The interquartile range (IQR) is calculated as the difference between the third and first quartiles: IQR = Q3 - Q1.
A box plot is a graphical representation of numerical data that displays the five-number summary of a dataset, which includes the minimum and maximum values, the lower and upper quartiles, and the median. The box portion of the plot represents the middle 50% of the data, with the lower and upper edges of the box representing the first and third quartiles, respectively. The distance between the first and third quartiles is known as the interquartile range (IQR), which is a measure of the spread of the middle 50% of the data. The box plot is useful for identifying outliers and visualizing the overall distribution of the data.
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Complete question:
Box Plot laximum value A box plot is a representation of data in which we divide the data into 4 quarters. The five key features (fivenumber summary ) are the minimum, lower quartile, median, upper quartile and the maximum. The interquartile range (IQR ) is found by Q⁽³⁾ - Q⁽¹⁾.+
pls pls pls pLS help urgent
The length of QS is obtained as follows:
QS = 28.
How to obtain the length of QS?The length of QS is obtained applying the proportions in the context of the problem.
The ratio of the side lengths is given as follows:
PQ : QR : RS = 3 : 3 : 1.
The ratio of the side lengths can be simplified as follows:
PQ : QS = 3:4.
Which means that QS is equals to 4/(4 + 3) = 4/7 of the length of segment PS.
The segment PS has a length of 49 units, hence the length of segment PS is given as follows:
PS = 4/7 x 49
PS = 28 units.
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What value do we need to complete the equation?
Answer:
h/2
Step-by-step explanation:
Graph 3x−y=6.
Use the line tool and select two points on the line.
Answer:
Plot point -6 and 2 and just keep making the line straight off the graph I think this should help
Step-by-step explanation:
A government estimates the cost to design new radar technology over a period of $m$ months. The government estimates $840,000 for equipment, $15,000 for software, and $40,000 per month for wages. Use an algebraic expression to find the total cost the government estimates when the project takes 16 months to complete.
Answer:
$1,495,000
Step-by-step explanation:
From the above, we can infer that the first two costs for equipment and software are fixed cost, while wages is the cost that is influenced by the number of months (m).
The above implies that we would multiply number of months 'm' with $40,000.
= 840,000 + 15,000 + 40,000m
Where month (m) = 16
= 840,000 + 15,000 + 40,000(16)
= 840,000 + 15,000 + 640,000
= $1,495,000
Therefore, the total cost is $1,495,000
I need help solving this answer
Answer:
y=7
Step-by-step explanation:
you would divide each term by 8 to get y=7 (8/8 and 66/8) :) hope this helps!!