Answer:
1. 24.36
2. Do the same thing (follow the steps in the picture)
Step-by-step explanation:
Find the area of this rectangle
Answer:
5x(5x -4)
25x^2- 20x
Step-by-step explanation:
Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. Priya made a mistake: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the mean and median of the data set
Answer: The mean will increase and the median would not change
Step-by-step explanation:
Recorded data by Priya :
Data: 1,8,6,2,4
Mean of data = (1+8+6+2+4)/5
=21/5 = 4.2
Median of data = 1,2,4,6,8
Median = 4
Correct data: 1,18,6,2,4
Mean of data = (1+18+6+2+4)/5
=31/5 = 6.2
Median of data = 1,2,4,6,18
Median = 4
Therefore ; according to the evaluation above, the median will remain unchanged, but the mean increased from 4.20 to 6.20.
Could someone answer this please
The measures of the angles, and arcs and areas of the circles are;
9) m\(\widehat{KIG}\) = 260°
10) m∠SRT = 66°
11) 18.59
12) 557.36 m²
13) 56.55 inches
14) 113.1 cm
What is an arc of a circle?An arc is a part of the circumference of a circle.
9) The measure of the arc KIG, m\(\widehat{KIG}\) is the difference between the sum of the angles at a point and 100°, therefore;
m\(\widehat{KIG}\) = 360° - 100° = 260°
10), Angles ∠SRW and ∠SRT are linear pair angles, therefore;
m∠SRW + m∠SRT = 180°
m∠SRW = 114°
Therefore; m∠SRT = 180° - 114° = 66°
11) The length, l, of the shaded arc can be obtained as follows;
l = (71/360) × 2 × π × 15 m ≈ 18.59 m
12) The area of the shaded sector, A, can be obtained from the area of a sector as follows;
A = (221/360) × π × 17² ≈ 557.36 m²
13) The circumference of the circle can be found using the equation;
Circumference = 18 inches × π ≈ 56.55 inches
14) The area of the circle of radius 6 cm can be found as follows;
Area = π × (6 cm)² ≈ 113.1 cm²
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Plzzzzzzz help pppppppp
Answer:
c
A
D
Step-by-step explanation:
i hope this helps
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Insert each y value into the equation. If it equals -14, then it is a solution to the equation. The only one of these y values that is a solution is the last one, -2.
8 * (-2) = -16
-16 + 2 = -14
So y = -2 is a solution.
A residual is the difference between _______.
A residual is the difference between "the measured and predicted values of the quantity of interest".
What is residuals?In regression analysis, a residual would be the difference between an observable and anticipated value.
The formula is;
Residual = Observed value – Predicted value
Some key features regarding the residuals are-
The purpose of linear regression would be to quantify the relationship among one or so more predictor variables one and or more response variables. Linear regression selects the line that best "fits" the data, defined as least squares regression line, to do this. This line generates a prediction for every observation in the dataset, however it is improbable that the regression line's prediction would perfectly match its observed value.The residual is the discrepancy between the predicted and the observed value. The residuals for every observation would represent the vertical distance between both the observation as well as the regression line if we plotted the observed values then overlaid the fitted regression line.To know more about the residual, here
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Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
6 milk bottles, 1 banana peel, 3 newspapers, 4 soda cans, 6 apple cores
A.
35%
B.
65%
C.
13%
D.
100%
Answer:
recyclble materials include Milk bottles, news papaers and soda cans
the rest is compost
20 items is the total
13 are recycble
13/20 as a decimal is 0.65
multiply by 100
and answer is
B.65%Step-by-step explanation:
Answer:
B 65%
Step-by-step explanation:
What is the advantage of valence number?
Answer:
The presence of many unpaired electrons in the valence shell of an atom enables it to form multiple bonds with other atoms. The paired electrons present in the valence shell do not take participate in the formation of chemical bonds as per the valence bond theory.
What type of triangle has only two congruent sides?.
(5 bookmarks) flag find the equation of the tangent line to the curve y=2 x cosn at the point (π, -π). the equation of this tangent line can be written in the form y=mx b where
The equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π) is y = -2x + (2π + 2nπ sin(n) - π), where m = -2 - 2nπ sin(n) and b = 2π + 2nπ sin(n) - π.
To find the equation of the tangent line, we need to find the derivative of y with respect to x, and then evaluate it at the given point (π, -π) to find the slope of the tangent line. Then we can use the point-slope form of a line to find the equation of the tangent line in the form y = mx + b.
Taking the derivative of y with respect to x, we get:
dy/dx = 2cos(n) - 2n x sin(n)
Evaluating this derivative at x = π, we get:
dy/dx |x=π = 2cos(n) - 2n π sin(n)
Substituting x = π and y = -π into the original equation, we get:
-π = 2πcos(n)
cos(n) = -1/2
Since we want the equation of the tangent line at the point (π, -π), we can substitute x = π and y = -π into the point-slope form of a line:
y - (-π) = m(x - π)
Simplifying, we get:
y = m(x - π) - π
Substituting cos(n) = -1/2, we have:
dy/dx |x=π = 2cos(n) - 2n π sin(n) = -2 - 2nπ sin(n)
Setting this equal to the slope of the tangent line, we have:
m = -2 - 2nπ sin(n)
Substituting this value of m into the equation of the tangent line, we have:
y = (-2 - 2nπ sin(n))(x - π) - π
Therefore, the equation of the tangent line is:
y = -2x + (2π + 2nπ sin(n) - π)
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Complete question:
Find the equation of the tangent line to the curve y = 2x cos(n) at the point (π, -π). The equation of this tangent line can be written in the form y = mx + b, where m and b are constants. Find the values of m and b.
If f(x)=−3x2−5x+1 , what is f(3)?
Answer:
-41
Step-by-step explanation:
you put 3 in place of x. So where x is you put 3. Then simplify. Let me know if you need further explanation
I have a lot of algebra problems. Someone help me even with this one please!
X -Y =44 will represent the number of glasses of ice tea .
A fruit market must spend less than $225 for an order of apples and oranges. A pound of apples cost $0. 50 and a pound of oranges cost $0. 75. The market needs at least 50 more pounds of apples than oranges. What is the reasonable solution?
The reasonable solution for the linear inequalities is to order 200 pounds of apples and 150 pounds of oranges, which satisfies the requirement of having at least 50 more pounds of apples than oranges while keeping the cost under $225.
Let x be the number of pounds of apples and y be the number of pounds of oranges. We can then set up the following system of inequalities:
0.5x + 0.75y < 225 (the total cost of the order must be less than $225)
x > y + 50 (the market needs at least 50 more pounds of apples than oranges)
To find a reasonable solution, we can use trial and error or graph the inequalities to identify the feasible region. However, it is easier to solve the system of inequalities algebraically.
First, we can rewrite the second inequality as x - y > 50. Then, we can plot the boundary line x - y = 50, which is the line that satisfies x - y = 50 exactly.
Next, we can plot the boundary line 0.5x + 0.75y = 225, which is the line that satisfies the total cost of the order being exactly $225. To plot this line, we can solve for y:
0.5x + 0.75y = 225
0.75y = 225 - 0.5x
y = (225 - 0.5x)/0.75
y = 300 - 0.67x
Now we can plot the two boundary lines and shade the feasible region that satisfies both inequalities,
From the feasible region, we can see that the corner point (200, 150) yields the lowest cost, which is $162.50.
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What are the zeros of f(x) = (x - 2)(x + 7)? Select all that apply.
x= 7
O x=2
0
x= -2
Ox--7
Solve each set of parentheses so they equal 0:
(X-2) = 0 add 2 to both sides : x = 2
(X + 7) = 0 subtract 7 from both sides: x = -7
The zeros are 2 and -7
Answer:
Value of x could be = 2 or -7
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Solve the system of equation algebraically: y = 2x2 - 5x + 10 and y = 2x + 5.
In order to solve the system of equations, let's equate both values of y and solve for x using the quadratic formula:
\(\begin{gathered} 2x^2-5x+10=2x+5\\ \\ 2x^2-5x-2x+10-5=0\\ \\ 2x^2-7x+5=0\\ \\ a=2,b=-7,c=5\\ \\ x=\frac{-b±\sqrt{b^2-4ac}}{2a}\\ \\ x=\frac{7±\sqrt{49-40}}{4}\\ \\ x_1=\frac{7+3}{4}=\frac{10}{4}=\frac{5}{2}\\ \\ x_2=\frac{7-3}{4}=\frac{4}{4}=1 \end{gathered}\)Now, let's calculate the values of y for each value of x:
\(\begin{gathered} x=\frac{5}{2}:\\ \\ y=2x+5=5+5=10\\ \\ \\ \\ x=1:\\ \\ y=2x+5=2+5=7 \end{gathered}\)Therefore the solutions are (1, 7) and (5/2, 10).
Correct option: second one.
A group of kids containing 14 boys and 10 girls is lined up in random order - that is, each of the 24! permutations is assumed to be equally likely. What is the probability that the person in the 16-th position is a boy
Hi! I'd be pleased to assist you with your permutations, probability, and position-related query. If a set of 24 children—14 boys and 10 girls—were lined up in a random order, what is the likelihood that the child in the 16th spot is a boy?
Step 1: Compute all possible combinations for the 24 children.
There are 24 children, hence there are 24 possible permutations in all! (Factorial, 24).
Step 2: Determine how many permutations there are with a boy in the sixteenth place.
Consider that there are currently 23 seats available for the remaining 13 boys and 10 girls to do this. The remaining children can be set up in 23! (23 factorial) different ways as a result.
Step 3: Use a to divide the permutations.
Step 4: Calculate the probability.
Probability = (Permutations with a boy in the 16th position) / (Total permutations)
Probability = (14 * 23!) / (24!)
Now, to simplify this expression, we can divide both the numerator and the denominator by 23!:
Probability = (14 * 23!) / (24! * 23! / 23!)
Probability = 14 / 24
Step 5: Simplify the probability.
Probability = 7/12
So, the probability that the person in the 16th position is a boy is 7/12.
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To find the probability that the person in the 16th position is a boy, we need to first calculate the total number of possible permutations in which any person can be in the 16th position. This can be calculated using the formula for permutation, which is n!/(n-r)!, where n is the total number of people and r is the number of positions.
So, the total number of permutations for 24 people in random order is 24!/(24-1)! = 24!
Next, we need to find the number of permutations in which a boy is in the 16th position. Since there are 14 boys and 10 girls, we can choose one of the 14 boys for the 16th position and then arrange the remaining 23 people in any order. This can be calculated using the formula for combination, which is nCr = n!/(r!(n-r)!), where n is the total number of items and r is the number of items chosen.
So, the number of permutations with a boy in the 16th position is 14C1 * 23! = 14 * 23!
Therefore, the probability of a boy being in the 16th position is the number of permutations with a boy in the 16th position divided by the total number of permutations, which is:
(14 * 23!)/24! = 14/24 = 7/12
In conclusion, the probability that the person in the 16th position is a boy is 7/12.
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A manufacturer has a steady annual demand for 15,000 cases of sugar. It costs $10 to store 1 case for 1 year, $30 in set up cost to produce each batch, and $16 to produce each case. Find the number of cases per batch that should be produced to minimize cost.
The number of cases per batch that should be produced to minimize cost is: 300 units
How to find the economic order quantity?The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.
The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.
Thus:
Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)
Solving gives:
√((2 * 30 * 15000)/10)
= √90000
= 300 units
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A bag contains 37 coins consisting of only dimes and quarters. The total amount of money in the bag is $6.85. How many dimes are in the bag?
Answer:
Step-by-step explanation:
its 16
Dimes is the coin which is equal to the 0.10 dollar. The number of dimes in the bag is 16.
To find the number of dimes we need to know about dimes.
What is dimes and quarter?Dimes is the coin which is equal to the 0.10 dollar. Quarter is the coin which is equal to the 0.25 dollar.
Given information-
The total number of coins bag contains is 37.
The total amount of money in the bag is $6.85.
Let the number of Dimes in the bag is \(x\) and the number of quarter in the bag is \(y\).
As the the total number of coins bag contains is 37. Thus,
\(x+y=37\\\)
Solve the equation for y,
\(y=37-x\)
Let the above equation is equation number 1.
As total amount of money in the bag is $6.85. Thus,
\(0.10x+0.25y=6.85\)
Put the value of y in the above equation as,
\(\begin{aligned}\\0.10x+0.25(37-x)&=6.85\\0.10x+9.25-0.25x&=6.85\\0.15x&=6.85-9.25\\x&=\dfrac{2.4}{0.15} \\x&=16\\\end\)
Hence, the number of dimes in the bag is 16.
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The surface area of a cylinder is 28π m². the distance around the base of the cylinder is 7π meters and the diameter of a base of the cylinder is 4 meters. what is the height of the cylinder?
The height of the cylinder is 5 m.
The surface area of a cylinder is \(28 \pi m^{2}\).
The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.
Let's call the height of the cylinder "h". The surface area of a cylinder can be calculated as
\(2 \pi rh + 2 \pi r^{2}\)Where r is the radius of the base.
Since the diameter of the base is 4 meters, the radius is 4/2 = 2 meters.
We know the surface area of the cylinder is \(28 \pi m^{2}\), so we can use this information to find h:
⇒\(28 \pi = 2 \pi(2)h + 2 \pi(2)^{2}\)
Expanding and simplifying the equation:
⇒28π = 4πh + 8π
Subtracting 8π from both sides:
⇒20π = 4πh
Dividing both sides by 4π:
⇒h = 5
Therefore, the height of the cylinder is 5 meters.
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Find the value of x in this figure
Answer:
x = 18º
Step-by-step explanation:
These angles are corresponding and congruent
62 = 3x + 8
54 = 3x
18º = x
Please asap . jcjsjkdkskxkkskx
Answer:
Step-by-step explanation:
It is actually easier to ignore the left side for now, and work with the right side. The secant function can be represented in terms of cosine by putting a one over cosine. This relation below should be known:
\(sec(x)=\frac{1}{cos(x)}\)
So, if we replace the secants on the right with the above relation, you can make the right side in terms completely of cosine.
\(\frac{1-cos(x)}{1+cos(x)} =\frac{\frac{1}{cos(x)}-1 }{\frac{1}{cos(x)} +1}\)
I hope that's clear to see. Brainly equations are pretty small and blurry.
The next step is to get a common denominator for the right side. The term '1' is equivalent to cos(x)/cos(x). So we have the following:
\(\frac{1-cos(x)}{1+cos(x)} =\frac{\frac{1}{cos(x)}-\frac{cos(x)}{cos(x)} }{\frac{1}{cos(x)} +\frac{cos(x)}{cos(x)} }\)
Looks rather complex, but it simplifies everything by a lot. Combine it into one single fraction:
\(\frac{1-cos(x)}{1+cos(x)} =\frac{\frac{1-cos(x)}{cos(x)} }{\frac{1+cos(x)}{cos(x)} }\)
When you divide by a fraction, it is equivalent to multiplying by the reciprocal. This is an algebra 1 concept, so it should be familiar:
\(\frac{1-cos(x)}{1+cos(x)} =\frac{1-cos(x)}{cos(x)}*\frac{cos(x)}{1+cos(x)}\)
As you can see, the cos(x)'s will cancel, leaving:
\(\frac{1-cos(x)}{1+cos(x)} =\frac{1-cos(x)}{1+cos(x)}\)
QED
heres another im stuck on
im so bad at slopess
Answer:
1. e
2. d
3. b
4. c
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
The heights (in inches) of a sample of eight mother daughter pairs of subjects were measured. (i point Using a speeadsheet with the paired mother/daughter heights, the lincar correlation cocfficient is found to be 0.693. Find the critical valuc, assuming a 0.05 significance level Is there safficient evidence to support the claim that there is a lincar correlation between the heights of mothers and the heights of their daughters? Critical value 0.707, there is not sufficient evidence to support the claim of a linear correlation between beights of mothers and heights of their daughters Critical value 0.707, there is sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters O Critical value 0.666, there is sot sufficient evidence to support the claim of a linear cornelation between heights of mothers and heights of their daughters Critical value 0.666there is sufficient evidence to support the claim of a lincar correlation between heights of mothers and heights of their daughters.
Thus, the critical value is 0.707 and there is not enough evidence to support the claim that there is a linear correlation between the heights of mothers and their daughters.
Based on the information provided, the linear correlation coefficient between the heights of mothers and daughters is 0.693.
To determine if there is sufficient evidence to support the claim that there is a linear correlation between these heights, we need to find the critical value assuming a significance level of 0.05.Using a two-tailed test with 6 degrees of freedom (n-2=8-2=6), the critical value is 0.707. If the calculated correlation coefficient is greater than 0.707 or less than -0.707, then we can reject the null hypothesis that there is no linear correlation between the heights of mothers and daughters.In this case, the calculated correlation coefficient of 0.693 is less than the critical value of 0.707. Therefore, we fail to reject the null hypothesis and there is not sufficient evidence to support the claim of a linear correlation between the heights of mothers and their daughters.Know more about the linear correlation coefficient
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Rashaad leans a 22-foot ladder against a wall so that it forms an angle of 65° with the ground. How high up the wall does the ladder reach?
What’s the description of the ridged motions
What’s the description of the ridged motions
What is the relationship between angles 1 and 2? AB Is parallel to FG AND BC IS TO DE
Answer:
Angles 1 and 2 are supplementary.
Step-by-step explanation:
<BAC is equal to <FGE, because BC and DE are parallel. So <DGF would be 180° minus angle 1. So, they are supplementary.
Mark me brainliest if possible. Thank you.
Find the volume common to two circular cylinders, each with radius r, if the axes of the cylinders intersect at right angles. Note the equations of the two cylinders could be the following x2+y2=r2,y2+z2=r2 which their axes are at right angles to each other. To solve the volume we will be using the triple integrals formula in rectangular coordinates which is V=∫∫∫dzdydx
The total volume of the two circular cylinders intersecting perpendicularly is\(V=πr2+πr3=πr2(1+r)\).
The volume of the two circular cylinders intersecting perpendicularly can be calculated using the triple integral formula in rectangular coordinates. The triple integral formula is V=∫∫∫dzdydx.
We can separate the integral into three components. The x-component is ∫dx from \(-√r2-y2 to √r2-y2\). The y-component is ∫dy from -r to r. The z-component is ∫dz from 0 to r.
Substituting the components into the equation for the triple integral, we get \(V=∫-rrdr∫-√r2-y2√r2-y2dx∫0rdz\).
We can solve the integral by splitting the y-component into two pieces:
\(V=∫-rrdr∫-r0dx∫0rdz+∫-rrdr∫0√r2-y2dx∫0rdz\)
The first integral can be solved easily and yields V=πr2. The second integral can be solved using the substitution u=r2-y2 and yields V=πr3.
Hence, the total volume of the two circular cylinders intersecting perpendicularly is V=πr2+πr3=πr2(1+r).
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I will make you a brainllest I need help :)
Answer:
32
Step-by-step explanation:
Lets work it out.
First we combine the two equations to get 5x-10. That is equal to 70 so we get out x = 16 we put that into the equation 3x-10 and get 32
Bret Rockford bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan. At the end of 1 year he owes the bank $70,000. Since then interest rates have increased to 13%. The bank will renew the mortgage at this rate, or Bret can pay the bank $70,000. He decides to renew and will now pay $11.72 monthly per thousand on his loan. (You can ignore the small amount of principal paid during the year.)
The old monthly payment is $
.
The new monthly payment is $
.
The percent increase in her monthly payment (to the nearest tenth) is
%
The old monthly payment was = 10.67 x 70 = 746.9
The new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is =9.8406%
Given,
Sandra Williams bought a home with a 11.5% adjustable rate mortgage for 20 years. He paid $10.67 monthly per thousand on his original loan
According to the question:
So, per thousand value of $70,000 is 70000/1000 =70
Now, the old monthly payment was = 10.67 x 70 = 746.9
He decides to renew and will now pay $11.10 monthly per thousand on his loan.
So, the new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is= 11.72 /10.67 - 1 x 100
9.8406 % and to nearest tenth it is 9.8406%
Hence, the old monthly payment was = 10.67 x 70 = 746.9
the new monthly payment is = 11.72 x 70 = 820.4
The percent increase in his monthly payment is =9.8406%
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In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?
The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.
The population proportion who participated in voting is given as 63% of all registered voters.
This means that out of every 100 registered voters, 63 participated in voting.
In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.
Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .
Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.
It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.
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