Answer:
Step-by-step explanation:
47.86
-25.20
+52.75
-22.04
-8.50
+94.11
=39.46
Find the coordinates of P so that P partitions the segment AB in the ratio 3:1 if A(0,7) and B(−4,2) A. (-3, -10.75) B. (-3, 3.25) C. (-5, -4) D. (-3, -3.75)
Answer: B. (-3, 3.25)
Step-by-step explanation: Imagine that the line is divided into 4 segments. (3:1) Since A is at the upper right end of the line, go 3 segments down and left from A. That puts the x value at -3.
If you graph the line, it is evident that the y-value is at 3.25.
(It may be possible to use the Pythagorean Theorem to compute the lengths of line segments-- but this is a multiple-choice question!)
Answer:
B.) (-3, 3.25)
Step-by-step explanation:
I got it correct on founders edtell
Adding and Subtracting Integers : 5 -9
Answer:
-4
Step-by-step explanation:
5 - 9 = -4
hope this helps...
5. In Standing Bear Middle School, there are 270 total students split into two groups: A and
B. If 30 students move to Group B from Group A, then there will be twice as many
students in Group A as in Group B. What is the original number of students in Group B?
Using a system of equations, it is found that the original number of students in Group B was of 120.
What is a system of equations?A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable.
In the context of this problem, the variables are described as follows:
Variable x: number of students in group A.Variable y: number of students in group B.There are 270 total students, hence:
x + y = 270.
x = 270 - y. (as we want to find y).
If 30 students move to Group B from Group A, then there will be twice as many students in Group A as in Group B, hence:
x + 30 = 2(y - 30).
Replacing the relation of the first equation on the second, it is found that:
270 - y + 30 = 2y - 60
3y = 360
y = 360/3
y = 120.
The original number of students in Group B is of 120.
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Find an equation for the ellipse.
Focus at (-2, 0); vertices at (±7, 0)
The equation of the ellipse with focus at (-2,0) and vertices at (±7, 0) is given as follows:
x²/49 + y²/45 = 1.
How to obtain the equation of the ellipse?The equation of an ellipse of center (h,k) is given by the equation presented as follows:
(x - h)²/a² + (y - k)²/b² = 1.
The center of the ellipse is given by the mean of the coordinates of the vertices, as follows:
x = (-7 + 7)/2 = 0. -> h = 0y = (0 + 0)/2 = 0 -> k = 0.Hence:
x²/a² + y²/b² = 1.
The vertices are at x + a and x - a, hence the parameter a is given as follows:
a = 7.
Considering the focus at (-2,0), the parameter c is given as follows:
c = -2.
We need the parameter c to obtain parameter b as follows:
c² = a² - b²
b² = a² - c²
b² = 49 - 4
b² = 45.
Hence the equation is given as follows:
x²/49 + y²/45 = 1.
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according to statista, united airlines controlled 15% of the domestic market during a recent year. a random sample of 125 domestic passengers that year was selected. using the normal approximation to the binomial distribution, what is the probability that 10 or fewer passengers from this sample were on united airlines flights? group of answer choices 0.0485 0.0192 0.2877 0.4286
Answer:
Step-by-step explanation:
A 12-sided die is rolled. The set of equally likely outcomes is
3,4,5,6,7,8,9,10,11,12) Find the probability of rolling a number greater than 2.
The probability of rolling a number greater than 2 is 10/10 or 100%.
When rolling a 12-sided die with the set of equally likely outcomes {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, we want to find the probability of rolling a number greater than 2.
Since all the numbers in the given set are greater than 2, we can determine the probability by simply considering the ratio of the favorable outcomes to the total possible outcomes.
In this case, there are 10 favorable outcomes (3 to 12) and 10 total outcomes.
Thus, the probability of rolling a number greater than 2 is 10/10, which simplifies to 1, or 100%
. So, when rolling this specific 12-sided die, you have a 100% chance of rolling a number greater than 2.
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Jaylynn deposits 20% of the money she earns each week in a savings account. She earns
$85.00 each week. How much money will she deposit?
HINT: twenty percent OF $85.00 *
Answer:
She deposits $17.00 each week
Step-by-step explanation:
You multiply 85 times 0.2 which gives you 17.
if we are testing H0:σ1^2=σ2^2 against σ1^2≠σ2^2 and we develop a 1-α percent Cl σ1^2/σ2^2 . what number would be in the Cl if we failed to reject H0?
The confidence interval would include 1, and the number 1 would be in the confidence interval if we failed to reject H0.
If we failed to reject the null hypothesis H0: σ1² = σ2², we would conclude that there is not enough evidence to suggest that the variances of the two populations are significantly different.
In this case, the confidence interval for the ratio of the variances would contain 1, since a ratio of 1 would correspond to equal variances.
The confidence interval for the ratio of the variances can be calculated using the F-distribution, and can be expressed as:
[ F(α/2,n1-1,n2-1) , F(1-α/2,n1-1,n2-1) ]
where F(α/2,n1-1,n2-1) and F(1-α/2,n1-1,n2-1) are the values from the F-distribution corresponding to the lower and upper limits of the confidence interval, respectively.
If we failed to reject H0, then the calculated test statistic F would not be greater than the critical value F(1-α/2,n1-1,n2-1) or less than the critical value F(α/2,n1-1,n2-1).
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Molly bought a plasma TV for $2784.95 and a video recorder for $826.35.
About how much did Molly spend?
please do step by step process and if not it's ok you don't really have to answer thank u vey much
Answer:
1958.6
Step-by-step explanation:
2784.95−826.35
=2784.95−826.35
=2784.95+−826.35
=1958.6
Answer: 3,647.29
Step-by-step explanation:
You are going to put 2,784.95 on top of 826.35 on a piece of paper or put it into a calculator and add them together to get your total.
A sample of n = 4 scores has SS = 48. What is the estimated standard error for the sample mean?a. 1b. 2c. 4d. 16
The estimated standard error for the sample mean is option (b) 2..
The estimated standard error of the sample mean is the standard deviation of the sampling distribution of the mean.
In this case, we are given that the sample size is n = 4, and the sum of squares of the sample is SS = 48. To estimate the standard error, we need to calculate the sample standard deviation first.
The formula to calculate the sample standard deviation is:
s = √(SS / (n-1))
Substituting the given values, we get:
s = √(48 / (4-1)) = √(16) = 4
Now, we can use the formula for estimated standard error to get the answer:
SE = s / √n = 4 / √4 = 2
Hence the correct option is (b).
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what is the circumference area?
1. Find the area.
2.1 cm
3 cm
А
31.5 cm2
10.5 cm2
15 cm2
15.75 cm2
6.3 cm2
Answer:
See below.
Step-by-step explanation:
The answer would be either 15 or 15.75. I did the math and got 15.48.
-hope it helps
mr jones is deciding which package of cheese to buy. which package costs less per ounce?? how much less per ounce is it?
package 1 is 0.25 cents per ounce
package 2 is 0.23 cents per ounce
package 2 costs less by 0.02 cents
Step-by-step explanation:
there are 24 ounces in package 2. Divide cost by number of ounces to get the cost of 1 ounce.
When a number increased by 4 is doubled, the result is the same as whe the number is increased by 20. Find the number
You MUST answer all of the questions below to get full credit. Please take
• Show your setup (how would it look on a Balanced Scale?)
• What does X equal?
• Check:
Answer:
X = 12
Step-by-step explanation:
When a number increased by 4
Let that number = x
x + 4
is doubled...
2(x + 4)
the result is the same
=
when the number is increased by 20
x + 20
Find the number
2 (x + 4) = x + 20
2x + 8 = x + 20
2x - x = 20 - 8
x = 12
What does X equal? X equals 12
Check:
Insert the x = 12 into the equation;
2 (x + 4) = x + 20
2 (12 + 4) = 12 + 20
2 (16) = 12 + 20
32 = 32
Tell whether the two quantities vary directly. Explain your reasoning.
the number of correct answers on a test and the score on the test
Choose the correct answer below.
OA. No, they do not vary directly. When one quantity increases, the other quantity does not increase.
OB. No, they do not vary directly. When one quantity increases, the other quantity also increases.
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
OD. Yes, they vary directly. When one quantity increases, the other quantity does not increase.
The correct statement regarding the variation of the two measures is given as follows:
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
What are positive and negative association?Two variables have a positive association when the values of one variable increase as the values of the other variable increase, that is, the quantities vary directly.Two variables have a negative association when the values of one variable decrease as the values of the other variable increase, that is, the quantities vary inversely.For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.
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Nadia is a stockbroker. She earns 11% commission each week. Last week, she sold $5,400 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:
Step-by-step explanation:
C=0.11×5,400=594
Nadia made a total of $594 last week in commission sales
b). To express the total amount she made in 2011, we derive the formula below;
Total amount (2011)=Average weekly commission× number of weeks in 2011
where;
Average weekly commission=$594
number of weeks in 2011=52
replacing;
Total amount (2011)=(594×52)=30,888
The total amount Nadia in commission in 2011=$30,888
Work out the mean data for the set below : 5001, 5004 give your answer as a decimal
Answer:
\( \frac{5001 + 5004}{2} = \frac{10005}{2} = 5002.5\)
The mean data for the set is 5002.5.
What is a mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
For the given situation,
The data in the set are 5001 and 5004
The formula of mean is
\(Mean = \frac{sum of all data}{number of data}\)
⇒ \(Mean = \frac{5001+5004}{2}\)
⇒ \(Mean = \frac{10005}{2}\)
⇒ \(Mean = 5002.5\)
Hence we can conclude that the mean data for the set is 5002.5.
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assume two coins, one fair and the other is unfair. you pick one at random, flip it five times, and observe that it comes up as tails all five times. what is the probability that you are flipping the unfair coin?
The probability of flipping the unfair coin given that we observed five tails in a row is approximately 0.9048
Let's define
A: the event of picking the unfair coin
B: the event of getting five tails in a row
We want to find the conditional probability of picking the unfair coin given that we observed five tails in a row, or P(A|B).
Using Bayes' theorem, we have
P(A|B) = P(B|A) × P(A) / P(B)
P(B|A) is the probability of getting five tails in a row given that we are flipping the unfair coin. Since the unfair coin is not fair, we don't know its probability of coming up as tails, but let's assume it has a probability of 0.9 of coming up as tails. Thus, P(B|A) = 0.9^5 = 0.59049.
P(A) is the prior probability of picking the unfair coin, which is 0.5 since we picked one of two coins at random.
P(B) is the total probability of getting five tails in a row, which is the sum of the probabilities of getting five tails in a row with the fair coin and the unfair coin.
The probability of getting five tails in a row with the fair coin is 0.5^5 = 0.03125. The probability of picking the unfair coin and getting five tails in a row is P(B|A) × P(A) = 0.59049 × 0.5 = 0.295245. Thus, P(B) = 0.03125 + 0.295245 = 0.326495.
Now we can calculate P(A|B)
P(A|B) = P(B|A) × P(A) / P(B) = 0.59049 × 0.5 / 0.326495 = 0.9048
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If 120 increases to 168, what percentage increase is this
Answer:
\( \frac{168}{120} = \frac{21}{15} = \frac{7}{5} = 1.4\)
So the percent increase is 40%.
The percentage increase from 120 to 168 is 40%. This is calculated by finding the increase (48), dividing it by the original number (120), and multiplying the result by 100.
Explanation:The question asks for the percentage increase from 120 to 168. To find this, we first determine the increase in the number, which is 168 - 120 = 48. The percentage increase is then calculated by dividing this increase by the original number (120 in this case), and then multiplying the result by 100 to get the percentage. So, the calculation would be (48/120) * 100 = 40. Therefore, the percentage increase from 120 to 168 is 40%.
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Finally, add the areas of triangle A, rectangle B, and triangle C What is the total area of the polygon? Enter your answer in the box. The total area of the polygon is square inches.
Answer:
there is noo triangle for me to answer this quiestioon
Step-by-step explanation:
Answer:
no pic
Step-by-step explanation:
Hey can someone pleasse help
Answer:
73.6
Step-by-step explanation:
If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Volume = ___________ cubic centimeters.
The largest possible volume of the box, given the constraint of 1700 square centimeters of material, is approximately 18709.5437 cubic centimeters. This volume is achieved by making the base of the box with a side length of approximately 23.2379 centimeters.
To determine the largest possible volume of the box with a square base and an open top, we need to maximize the volume.
Let's assume that the length of each side of the square base is 's' centimeters, and the height of the box is 'h' centimeters.
The volume of a box with a square base is given by V = s² * h.
We have that the total surface area of the material available is 1700 square centimeters. The surface area of the box consists of the base and four sides, so we have:
Surface area = s²+ 4sh
Since the top is open, we don't need any material for it.
Now, we can rewrite the surface area equation as:
s² + 4sh = 1700
To maximize the volume, we can solve this equation for 'h' in terms of 's' and substitute it into the volume equation:
h = (1700 - s²) / (4s)
V = s² * [(1700 - s²) / (4s)
Simplifying further:
V = (1/4)(1700s - s³)
To determine the largest possible volume, we need to maximize this function. We can take the derivative of V with respect to s, set it to zero, and solve for 's'.
dV/ds = 1700/4 - (3/4)s²
Setting dV/ds = 0, we have:
1700/4 - (3/4)s² = 0
Simplifying further:
1700 = 3s²
s² = 1700/3
s ≈ 23.2379 cm
Substituting this value of 's' into the volume equation, we get:
V ≈ (1/4)(1700 * 23.2379 - (23.2379)^3)
V ≈ 18709.5437 cubic centimeters
Therefore, the largest possible volume of the box is approximately 18709.5437 cubic centimeters.
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IF YOU TELL ME HOW YOU GOT THE ANSWER FIRST YOU WILL GET A CROWN
Answer:
C
Step-by-step explanation:
basically see where each dot is and the number its beside and the number its above answer for example the first one is in between 20 and 30 so its 25 and its above 1 so it would 1, 25 u just do that for all the dots :)
The real exchange rate of Canada increased by 4.9% relative to US. Observing that Canada's inflation rate is 8.5% while the US inflation rate is 3.8%, what is the change in the nominal exchange rate (in Canada's perspective)? Round your answer to the nearest two decimal place. Write your answer in percentage terms so if your answer is 10%, write 10 .
The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.
Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.
Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada
= 4.9% Inflation of Canada
= 8.5% Inflation of US
= 3.8% Nominal Exchange Rate
= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate
= 4.9% x 1.085 / 1.038 Nominal Exchange Rate
= 5.3099 / 1.038 Nominal Exchange Rate
= 5.11 (rounded to two decimal places)
This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.
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Find the area of the figure. Round your answer to the nearst hundredth, if necessary.
Given:
The semicircle with dimeter 6 cm.
Required:
FInd the area.
Explanation:
We have figure of semicircle and area of semicircle
\(A=\frac{1}{2}\pi r^2\)Radius is half of diameter. That is radius equal 3cm.
find the slope m of the tangent to the curve y = 3/ x at the point where x = a > 0.
The slope m of the tangent to the curve will be m = -3/a^2.
Calculating the slope of the tangent line to the curve y = 3/x at a point where x = a > 0 is an important mathematical concept. To do this, we will first need to find the derivative of the curve y = 3/x.
Let's start by taking a look at the equation for the slope of a line: m = (y2-y1) / (x2-x1). We'll use this equation to find the slope of the tangent line at the point (a, 3/a).
To do this, we'll need to calculate the derivative of the given equation, which is y' = -3/x^2.
At the point (a, 3/a), the derivative is equal to -3/a^2. Therefore, the slope of the tangent line at the point (a, 3/a) is m = -3/a^2.
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find the total cost of a cylindrical block made of playing clay,which costs AED 0.50 per cubic centimeter,if the radius of the block is 1 cm and the length is 12 cm
Answer:
$18.84
Step-by-step explanation:
volume = πr²L = (3.14)(1²)(12) = 37.68 cm³
37.68 cm³ x 0.50 per cm³ = $18.84
For which system of equations is the graph below a solution?
A. y = x - 2
y = - x - 3
B. y = x + 2
y = - x - 3
C. y = x - 2
y = -x + 3
D. y = x + 2
y = -x + 3
Answer:
C
Step-by-step explanation:
Black line
slope = Δy / Δx = -3 / 3 = -1
Y intercept = 3
LINE equation ( y = slope times x + y intercept): y = -x +3
Blue line
slope = Δy / Δx = 2 / 2 = 1
Y intercept = -2
LINE equation ( y = slope times x + y intercept): y = x -2
Can someone please help me with proofs
2) AE is congruent to ED, BE is congruent to ED (a bisector splits a segment into two congruent parts)
3) Angle AEB is congruent to angle DEC (vertical angles are congruent)
4) Triangle ABE is congruent to triangle CDE (SAS)
What’s the answer for X + 132
X +72