Answer:
\( \sqrt{( - 5 - 10) ^{2} + (3 - ( - 5)) ^{2} } \)
Step-by-step explanation:
I don't know what is the difference between B and D.
But remember the formula of distance:
If M(x1, y1); N(x2, y2),
the distance=
\( \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \)
un banco tiene una tasa de interes anual de 17.5% ¿que cantidad de interes pagara un prestamo de 30,000 pesos en 3 años
Por lo tanto, la cantidad de interés que se pagará en el préstamo de 30,000 pesos durante 3 años con una tasa de interés anual del 17.5% es de 16,691.25 pesos.
para calcular la cantidad de interés que se pagará en un préstamo de 30,000 pesos con una tasa de interés anual del 17.5% durante 3 años, es necesario utilizar la fórmula de interés compuesto. Esta fórmula es: I = P * (1 + r)^n - P, donde I es el interés, P es el principal, r es la tasa de interés anual y n es el número de períodos.
En este caso, el principal es 30,000 pesos, la tasa de interés anual es del 17.5%, y el número de períodos es de 3 años. Entonces, podemos calcular el interés utilizando la fórmula:
I = 30,000 * (1 + 0.175)^3 - 30,000 = 16,691.25 pesos.
Es importante recordar que el interés compuesto aumenta con el tiempo, por lo que es importante considerar esto al planificar préstamos y financiamientos.
To learn more about : interés
https://brainly.com/question/25720319
#SPJ11
can you guys please help me on this?
x^2+xy-6y^2 by x^2-3xy+2y^2
Answer:
x=−y
Step-by-step explanation:
x
2
+y
2
+2xy=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x
2
+2yx+y
2
=0
This equation is in standard form: ax
2
+bx+c=0. Substitute 1 for a, 2y for b, and y
2
for c in the quadratic formula,
2a
−b±
b
2
−4ac
.
x=
2
−2y±
(2y)
2
−4y
2
Square 2y.
x=
2
−2y±
4y
2
−4y
2
Add 4y
2
to −4y
2
.
x=
2
−2y±
0
Take the square root of 0.
x=−
2
2y
Divide −2y by 2.
x=−y
If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means.
If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.
To test hypotheses about the difference between two populations means we deal with the following three cases.
1) both the populations are normal with known standard deviations.
2)both the populations are normal with unknown standard deviations.
3) both the populations are non normal in which case both the sample sizes are necessarily large.
So, If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means is normal if populations are non normal and the sample sizes are large.
To learn more about null hypothesis refer here
https://brainly.com/question/25263462
#SPJ4
the percentage of total variation in the dependent variable that is described by the independent variable is expressed by . question 22 options: a) coefficient of determination b) correlation coefficient c) coefficient of covariation d) regression coefficient e) none of these
The correlation coefficient measures the proportion of the dependent variable's overall fluctuation that the independent variable adequately captures.
The relationship between two parametric variables is represented by the correlation coefficient. It ranges from -1 to +-1. It means there is no correlation between the two variables when it is 0. When it is 1 or 1, there is a significant correlation between the variables.
Determinant coefficient: It shows how much of the variance in the dependent variable can be accounted for by the independent variable. It ranges from 0 to 1 and is represented by the symbol R2.
As a result: b) The coefficient of determination is the proportion of the dependent variable's variation that can be attributed to the independent variable.
Answers that are incorrect:
a) A linear regression is one that employs a regression formula with the form y=ax=b.
c) Correlation is a metric for determining how two variables are related.
d) The statistical technique of regression is used to build mathematical models that link two or more variables.
Option B is the proper response, thus.
To learn more about correlation coefficient, refer:-
https://brainly.com/question/27226153
#SPJ4
Use the Fundamental Theorem of Calculus to evaluate (if it exists) where If the integral does not exist, type "DNE" as your answer. 1(2) dz, if -n≤z≤0 f(2)={-6 sin(z) if 0
The solution for the integral using the Fundamental Theorem of Calculus is -6(cos(n)-1)+6n^2.
The given function is f(2) = {-6 sin(z) if 0 < z ≤ n, 4z if n < z ≤ 2n}.
The integral of the function is given by ∫f(z) dz which can be written as
∫f(z) dz = ∫(-6 sin(z))dz if 0 < z ≤ n.
And, ∫f(z) dz = ∫(4z)dz if n < z ≤ 2n
Now, we can evaluate the integral using the fundamental theorem of calculus as follows:
For ∫(-6 sin(z))dz if 0 < z ≤ n,
We have F(z) = -6 cos(z)`F(z) evaluated from 0 to n is -6 cos(n) - (-6 cos(0)) = -6(cos(n) - 1)
For ∫(4z)dz if n < z ≤ 2n,
We have F(z) = 2z^2`F(z) evaluated from n to 2n is 2(2n^2) - 2(n^2) = 6n^2
`Therefore, the value of `∫f(z) dz` is: `∫f(z) dz = F(z) evaluated from 0 to n + F(z) evaluated from n to 2n
= -6(cos(n) - 1) + 6n^2.
#SPJ11
Let us know more about Fundamental Theorem of Calculus : https://brainly.com/question/30761130.
Simplify the following if x = 3 & y = 4:
1. 2x + y =
2. 3x + 2y =
3. 3y + 2x =
4. 10x + 4y + 2x =
5. 6y + 5x =
6. 7x + 4y =
Just enter the information in x and y. For example,
As we know, x = 3 , y = 4
So....
1. 2 (3) + 4
6 + 4 = 10
2. 3 (3) + 2 (4)
9 + 8 = 17
Try to do the rest questions by yourself. It's easy! All the best.
If the model was built using a 1 -to -64 scale ,and the length of the model is 10.5 inches,What is the length of the actual tractor in feet ?
Answer:
56
Step-by-step explanation:
10.5*64=672
672 inches/12= 56 feet
An angle measures 56° more than the measure of its complementary angle. What is the measure of each angle?
° and °
Answer:
34 & 34
Step-by-step explanation:
The diameter of the Sun is 1.4 x 10⁶ km. The diameter of the planet mars is about 7000km. What is the approximate ratio of the diameter of the Sun to the diameter of Mars?
Answer:
200 : 1
Step-by-step explanation:
Given that,
The diameter of the Sun is 1.4 x 10⁶ km and the diameter of the planet mars is 7000 km.
We need to find the ratio of the diameter of the Sun to the diameter of Mars. Let the ratio is R. So,
\(R=\dfrac{\text{diameter of the Sun}}{\text{diameter of Mars}}\\\\R=\dfrac{1.4\times 10^6\ km}{7000\ km}\\\\R=\dfrac{200}{1}\)
Hence, the ratio is 200:1.
in a right triangle cos0=4/5. what is the exact value of cot(0)
In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.
In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.
First, let's use the Pythagorean Theorem to find the third side of the right triangle.
If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:
4² + b² = 5²
16 + b² = 25
b² = 9
b = 3
Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).
Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3
Therefore, the exact value of cot(0) is 4/3.
Learn more about Cotangent here: brainly.com/question/21626237
#SPJ11
Jo borrowed $1,900 for 8 months from a bank. The bank discounted the loan at 3. 5%.
a. How much interest did Jo pay the bank for the use of its money?
b. How much did he receive from the bank?
c. What was the actual rate of interest he paid?
Jo paid an actual rate of interest of approximately 2.19% on the loan.To calculate the interest paid by Jo to the bank for the loan, we can use the formula for simple interest:
Interest = Principal * Rate * Time
a. How much interest did Jo pay the bank for the use of its money?
Given:
Principal (P) = $1,900
Rate (R) = 3.5% = 0.035 (as a decimal)
Time (T) = 8 months
Using the formula for interest:
Interest = 1,900 * 0.035 * (8/12)
Interest = $33.07
Therefore, Jo paid $33.07 in interest to the bank for the use of its money.
b. How much did he receive from the bank?
To determine the amount Jo received from the bank, we need to subtract the interest from the principal:
Amount received = Principal - Interest
Amount received = $1,900 - $33.07
Amount received = $1,866.93
Therefore, Jo received $1,866.93 from the bank.
c. What was the actual rate of interest he paid?
To calculate the actual rate of interest Jo paid, we need to compare the interest paid to the principal:
Actual rate of interest = (Interest / Principal) * (12 / Time)
Actual rate of interest = ($33.07 / $1,900) * (12 / 8)
Actual rate of interest ≈ 0.0219 or 2.19% (rounded to two decimal places)
Therefore, Jo paid an actual rate of interest of approximately 2.19% on the loan.
Learn more about formula here: brainly.com/question/30539710
#SPJ11
much of the child maltreatment research is based upon:group of answer choiceslarge representative samples.clinical samples.randomly selected and small samples that nonetheless are representative samples.all of these answers.none of these answers.
The child maltreatment research is primarily based on large representative samples, as they provide a more accurate representation of the population under study.
The child maltreatment research is primarily based on large representative samples. This ensures that the findings and conclusions drawn from the research are generalizable to the larger population of children and families.
Large representative samples are considered crucial in child maltreatment research because they provide a more accurate representation of the population under study. By including a diverse range of participants from different backgrounds, demographics, and geographical locations, researchers can capture the complexity and variability of child maltreatment experiences. This increases the validity and reliability of the research findings.
While clinical samples and randomly selected small samples can also provide valuable insights, they may have limitations in terms of generalizability. Clinical samples, for example, may only include individuals who have sought help or are involved with child welfare systems, which may not be representative of the entire population. Randomly selected small samples can provide useful information, but their findings may not be applicable to the larger population without proper consideration of representativeness.
Learn more about population here:
https://brainly.com/question/31598322
#SPJ11
What is the probability that a subject would guess more than 20 correct in a series of 36 trials?
the probability that a subject would guess more than 20 correct in a series of 36 trials
p(X > 20.5)
= p(z > 0.83)
= 0.2033
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty. that an event will occur.
A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).
Learn more about probability here
https://brainly.com/question/251701
#SPJ4
3) (x-4)2 The pdf of a Gaussian random variable X is given by fx(x) = Ke Find the value of K, and determine the probability of X to be negative in terms of the Q-function. Show your work. =
To find the value of K, we need to integrate the pdf over all possible values of X and set the result equal to 1, since the pdf must sum to 1 over the entire domain. Integrating fx(x) from negative infinity to positive infinity, we get: 1 = ∫ (-∞ to ∞) Ke^(-x^2/2) dx Using the standard integral for the Gaussian function, we can simplify this to: 1 = K√(2π)
Therefore, K = 1/√(2π). Now, to determine the probability of X being negative, we need to integrate the pdf over all negative values of X and divide by the total probability (which is 1):
P(X < 0) = ∫ (-∞ to 0) fx(x) dx / ∫ (-∞ to ∞) fx(x) dx
Substituting in our value for K, this becomes:
P(X < 0) = ∫ (-∞ to 0) (1/√(2π))e^(-x^2/2) dx / ∫ (-∞ to ∞) (1/√(2π))e^(-x^2/2) dx
We can simplify this using the definition of the Q-function, which is defined as:
Q(x) = 1/√(2π) ∫ (x to ∞) e^(-t^2/2) dt Therefore: P(X < 0) = Q(∞) - Q(0) Since Q(∞) = 0 (the tail of the Gaussian function goes to zero as x approaches infinity), this simplifies to: P(X < 0) = 1 - Q(0)
We can evaluate Q(0) using the standard integral for the Gaussian function: Q(0) = 1/√(2π) ∫ (0 to ∞) e^(-t^2/2) dt
Making the substitution u = t^2/2, du/dt = t/√2, we get: Q(0) = 2/√(π) ∫ (0 to ∞) e^(-u) du
This is just the standard integral for the exponential function, so: Q(0) = 2/√(π) Substituting this back into our expression for P(X < 0),
we get: P(X < 0) = 1 - 2/√(π) Simplifying, this becomes: P(X < 0) = √(π)/√(π) - 2/√(π) P(X < 0) = (√(π) - 2)/√(π)
Therefore, the probability of X being negative in terms of the Q-function is (√(π) - 2)/√(π).
Learn more about probability,
https://brainly.com/question/25839839
#SPJ11
Each chart has which three components (choose three)?
A. Forecast of customer
B. A center line representing the average
C. An upper line representing last week's sample
D. A lower line representing last week's sample
E. An upper line representing the maximum acceptable variation upwards
F. A lower line representing the maximum acceptable variation downwards
G. A center line representing the maximum acceptable variation centrally
Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.
Each chart has the following three components:
1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.
2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.
3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.
These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.
In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.
Know more about control chart here,
https://brainly.com/question/32392066
#SPJ11
1. What's the product of 3 2/3 and 14 2/5?
Find the measure of x.
X
12
52°
x = [ ? ] Round to the nearest hundredth.
Triangle
The value of x from the given right triangle is 15.4 units.
From the given right triangle, the legs of right triangle are x units and 12 units.
Here, θ=52°
We know that, tanθ=Opposite/Adjacent
tan52°= x/12
1.2799= x/12
x=1.2799×12
x=15.3588
x≈15.4 units
Therefore, the value of x from the given right triangle is 15.4 units.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ1
What is the sum of -7 + 5? You may use the number line to help you figure out the answer -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 4 5 6 7 8 9 10 Drag and drop the sum into the box to match the expression
Answer:
-2
Step-by-step explanation:
The negative value out weighs the positive
Chase buys a bag of cookies that contains 6 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookies and 6 oatmeal cookies. What is the probability that Chase randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie
Answer:
0.0652173
Step-by-step explanation:
Given that :
6 chocolate chip cookies
6 peanut butter cookies
6 sugar cookies
6 oatmeal cookies
Total number of cookies purchased = (6+6+6+6) = 24
Probability, P= required outcome /total possible outcomes
This is a selection without replacement probability problem :
P(peanut butter cookies) = 6/24 = 1/4
Then ;
P(chocolate chip cookie) = 6/23
Hence,
P(peanut butter cookies then chocolate chip cookie) = 1/4 * 6/23 = 0.0652173
Smiths bike shop rents bikes for $10
plus $4 per hour. Anita paid $22 to
rent a bike. How many hours did
she rent the bike for? Write an
equation to represent this situation
and then solve.
What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?
Answer: 394.6 m^3
Step-by-step explanation:
-
Please help:) I really need help
Answer:
.translation(x, y) →(x+h, y+k)
reflection of (x,y)→(−x,y) on y-axis
reflection of (x,y)→(x,-y) on x-axis
Suppose you visit a restaurant with a salad bar containing the following choices: 10
dressings, 15 vegetables, 6 cheese toppings and 4 different crouton toppings. What is
the total number of possible salads you could create?
35
3600
150
900
Answer:
3600
Step-by-step explanation:
multiply all of the choices
10x15x6x4
The total number of possible salads you could create is 3600. so the correct option is B.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given the following choices: 10 dressings, 15 vegetables, 6 cheese toppings and 4 different crouton toppings.
Therefore, the total number of possible salads you could create;
Then multiply all of the choices
10 x 15 x 6 x 4
= 3600
Hence, The total number of possible salads you could create is 3600. so the correct option is B.
Learn more about multiplications, please visit the link given below;
https://brainly.com/question/14059007
#SPJ2
Which set of two variables is most likely to have a cause-and-effect relationship? A. The age of a teacher and the income of the teacher B. The height of a person and the weight of a person C. The weight of a box and the postage rate we have to pay to ship the box to California D. The make of a car and the mileage of the car
The set of variables that is most likely to have a cause-and-effect relationship is option C: the weight of a box and the postage rate we have to pay to ship the box to California.
Based on the given sets of variables, the set most likely to have a cause-and-effect relationship is:
B. The height of a person and the weight of a person
This is because there is a general correlation between a person's height and their weight, as taller individuals tend to have higher weights. While this is not an absolute rule, there is a stronger cause-and-effect relationship in this set compared to the other options.
This is because the weight of the box is a likely cause of the postage rate, as the heavier the box, the more postage we will have to pay to ship it. In options A and B, there may be a correlation between the variables, but it is less likely that there is a direct cause-and-effect relationship. In option D, the make of a car is not a likely cause of its mileage, as there are many other factors that can affect a car's mileage.
Learn more about Variable:
brainly.com/question/29583350
#SPJ11
Linda earned a total of D dollars last year. The government took out 6.2% for Social Security and 1.45% for
Medicare. Write an algebraic expression that represents what she paid to Social Security and Medicare
combined.
The algebraic expression is 0.0765d.
A book store was selling 5 books for 26.35
Answer:
oh that is not that bad though
Step-by-step explanation:
Which ratio is not equivalent to 15 : 18?
A. 60 : 72
B. 35 : 42
C. 25 : 30
D. 90 : 105
Can i get help on 1=1/4(2x+8)
The table shows the steps for solving the given inequality for x. −2(3−2x)
Answer:
3x = 4-x "hope this helps"
Step-by-step explanation: