Answers
Step-by-step explanation:
the construction of a right angle (2 lines at 90° interception angles).
Related Questions
Tara and Edward each painted their bedrooms. They finished in the same amount of time, even though Edward's bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part of the basement?
Answers
The students at a certain high school have an elective period, where each student chooses an elective from among four options. The following table shows the number of students who selected each elective for the 1,500 students at the high school.
Answers
If each student can only choose one elective, picking both is impossible, making the probability 0.
There is no chance of picking a single kid for music and art electives (0).
Information disclosed:
A high school's students are participating in electives.
Since each student is only allowed to choose one elective course from the options provided, they can either choose music or art as their elective.
Therefore, it is impossible to choose a student who has chosen to study art and music.
As a result, there is no chance of picking a student for whom both music and art are electives (0).
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The rectangle below has an area of x^2-7x+10x
2
−7x+10x, squared, minus, 7, x, plus, 10 square meters and a width of x-5x−5x, minus, 5 meters.
What expression represents the length of the rectangle?
Answers
By using the quadratic equation that can be written with the given information:
x² -7x + 10 = (x - 5)*(x - a)
We will see that the length is:
L = x - 2
How to get the length of the rectangle?Remember that for a rectangle of length L and width W, the area is given by the product:
A = L*W
Here we know that:
The area is: x² -7x + 10
The width is: x -5
The length will be another factor of the quadratic equation, and we know that it should be of the form:
(x - a)
Using the area formula, we will get:
x² -7x + 10 = (x - 5)*(x - a)
Expanding the right side we get:
x² -7x + 10 = x² -5x -ax + 5a
x² -7x + 10 = x² + (-5 - a)*x + 5a
Comparing like terms, we can see that:
-5 - a = -7
5a = 10
The solution of both of these is:
a = 7 - 5 = 2
a = 10/5 = 2
Then the length of the rectangle is:
L = (x - 2)
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Help me I don’t understand
Answers
Answer:
C (8,6) A (2,14)
Step-by-step explanation:
(2+m)/2 = 5
2(2+m)/2 = 5 x 2
2+m = 10
m = 10 - 2
m = 8
(-6+n)/2 = 0
2(-6+n)/2 = 2 x 0
-6 + n = 0
n = 6
(-8+x)/2 = -3
2(-8+x)/2 = -3 * 2
-8 + x = -6
x = -6 + 8
x = 2
(-2+y)/2 = 6
2(-2+y)/2 = 6 * 2
-2 + y = 12
y = 12 + 2
y = 14
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△ABC has the verticies at A(4,5) B(-3,6) and C(-1,8)
the following transformations have been done to the triangle in that order...
rotated 90 degrees
reflected across the line y=0
then translated according to the rule (x+3,y-3)
Once all transformations are complete what are the final points?
Answers
Answer:
o answer this question, we need to apply the transformations in the reverse order. So first, we need to apply the translation according to the rule (x+3,y-3). This means that the coordinates of the triangle will become A'(7,2), B'(0,3), and C'(2,5). Next, we need to reflect the triangle across the line y=0. This means that the y-coordinates of the triangle will become negative. So the coordinates of the triangle will become A''(7,-2), B''(0,-3), and C''(2,-5). Finally, we need to rotate the triangle 90 degrees. In a standard cartesian coordinate system, a rotation of 90 degrees counterclockwise is equivalent to the transformation (x, y) -> (-y, x). So the final coordinates of the triangle will be A'''(-2,7), B'''(-3,0), and C'''(-5,2).
Use algebra to show that the product of any two terms in the sequence is also a term in the
sequence.
I have already done A
Answers
(a) The first four terms of the geometric sequence are 3, 9, 27, 81.
(b) The product of any two terms of the sequence is present in the sequence.
What is geometric sequence?A geometric sequence is one where each phrase is obtained by multiplying the term before it by the same number.
Formula to find nth term of geometric sequence is aₙ = a₁ rⁿ⁻¹. The common ratio is expressed as the value r.
Given that,
The nth term of the geometric sequence uₙ = 3ⁿ.
(a)
The first term of the sequence u₁ = 3¹
Second term of the sequence u₂ = 3² = 9
Third term of the sequence u₃ = 3³ = 27
And the fourth term of the sequence u₄ = 3⁴ = 81
The four terms of the sequence are 3, 9, 27, 81.
(b)
To prove that product of two term is also present in the sequence.
Product of first two terms = 3 x 3² = 3 x 9 = 27
27 is present in the sequence.
Further, product of next two terms,
9 x 27 = 243 = 3⁵
3⁵ will also present in the sequence.
Therefore, product of any two terms is present in the sequence.
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Which of the following sets of numbers could not represent the three sides of a triangle?
Answers
in a test of hypothesis the p-value was 0.24 . if the level of significance is 10 % . what is the potential type of statistical error ?
Answers
If the level of significance is 10 %, then the potential type of statistical error is type II error.
What is statical error?
The term "error" (also known as "statistical error") refers to the discrepancy between a value obtained through a data gathering procedure and the population's "actual" value. The data are less representative of the population the higher the inaccuracy.
In the given test,
The p-value = 0.24
Level of significance (a) = 0.10
Here,
0.24 > 0.10
P-value > level of significance
Therefore, We failed to reject the null hypothesis that is actually false
This is type II error,
The type II error occurs when one fails to reject a null hypothesis that is actually false itself.
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if f(x) = 3x - 4 and g(x) = x^2, find the value of f(3) - g(2)
Answers
Answer:
[tex]\huge\boxed{\sf 1}[/tex]
Step-by-step explanation:
Given functions:f(x) = 3x - 4
Put x = 3
f(3) = 3(3) - 4
f(3) = 9 - 4
f(3) = 5 ------------------(1)Also,
g(x) = x²
Put x = 2
g(2) = (2)²
g(2) = 4 --------------(2)Subtract Eq. (2) from Eq. (1)
f(3) - g(2):= 5 - 4
= 1[tex]\rule[225]{225}{2}[/tex]
Answer:
F(3) -g(2) = 1
Step-by-step explanation:
F(3)= 3(3) -4= 5
g(2)= [tex]2^{2}[/tex] = 4
f(3) -g(2)= 5-4 =1
Which pair of triangles can be proven congruent using the hypotenuse-leg theorem?.
Answers
Answer: hypotenuse and leg of one right triangle
Step-by-step explanation:
The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Brian opens a new savings account, with an annual interest rate of 3. 5%. If his initial deposit is gbp 3000, write an expression for his savings, s, after t years.
Answers
The expression for savings after t years, based on the principle amount and annual interest rate is 3000 + 105t.
The formula to be used for computation of savings is -
Interest = (Principal × Rate of interest × Time)/100
Keep the values in formula -
Interest = (3000 × 3.5 × t)/100
Performing division and multiplication
Interest = 10,500t/100
Performing division on Right Hand Side of the equation to find the interest
Interest = 105t
Now, savings will be sum of amount and the interest earned
Savings = 3000 + 105t
Thus, the savings will be 3000 + 105t.
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Find the solutions to x² = 28.
Answers
Answer:
[tex]2 \sqrt[]{7} , and -2\sqrt[]{7}[/tex]
Step-by-step explanation:
or:
x=5.29150262…,−5.29150262
our data analytics team often surveys clients to get their feedback. if you were on the team, how would you ensure the sample is representative of the population as a whole?
Answers
To ensure the sample is representative of the population as a whole, try to use some random samples.
What do you mean by sample?A sample refers to a small quantity that is examined to get the knowledge of how the whole product/population will be.
Now, we need feedback from our clients. To ensure that our sample is representative of the population as a whole, we should include clients with different attributes.
Like, choosing 10 clients all living in the same place, same gender, and same age group will be the worse sample.
The best way to do this is to select samples randomly, ensuring that our sample includes people with different ages, gender, height, disabilities(if any) and statuses, etc.
So, A randomized sample is the best for ensuring that the sample is representative of the population as a whole.
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the function y=2^x+4 is shifted left 10 units what is the new equation of the new function?
Answers
The new equation of the function y = 2^x + 4 shifted 10 units to the left is y = 2^(x-10) + 4
What is translation?translation moves a shape left, right, up, or down but does not turn. The translated shapes (or the image) appear to be the same size as the original shape, indicating that they are congruent.
Since the function is shifted 10 units to the left, it means the x coordinate of the function is reduced by 10. making the exponent (x) to become (x - 10)
So the function's new equation is y = 2^(x-10) + 4
In conclusion, the new equation is y = 2^(x-10) + 4
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a recent report indicated that 90 percent of adults in a certain region actively try to include vegetables in their diet. a simulation was conducted that consisted of 50 trials with a population parameter of 0.9. each trial consisted of a sample size of 10. the number of successes out of 10 was recorded, where success represented an adult trying to include vegetables in the diet. five possible simulation results are shown. which simulation is the best match to the one described?
Answers
In repeated sampling, the method produces intervals that include the population mean approximately 95 percent of the time.
By simulation, what do you mean?A simulation is a model that replicates how a current or proposed system functions, offering evidence for decision-making by allowing the testing of various scenarios or process improvements. A more immersive experience can be had by combining this with virtual reality technology.
What accomplishes the simulation?The fundamental goal of simulation is to illuminate the underlying processes that regulate a system's behavior. A system's future behavior can be predicted (forecasted) using simulation, and you can use it to figure out how to influence that behavior in the future.
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one assumption underlying linear regression is that the x values are normally distributed. true false
Answers
One assumption underlying linear regression is that the x values are normally distributed.
This above statement is true.
Linear regression:Linear regression is a linear approach for modeling the relationship between a scalar response and one or more explanatory variables (also called dependent and independent variables). When there is one explanatory variable, it is called simple linear regression. If there are more than one, the process is called multiple linear regression. This concept differs from multivariate linear regression, which predicts multiple correlated dependent variables instead of a single scalar variable.
In linear regression, relationships are modeled using a linear predictor function in which the unknown model parameters are estimated from the data. Such models are called linear models. Most commonly, the conditional mean of the response is assumed to be an affine function of the values of the explanatory variables (or predictors) given those values. In rare cases, a conditional median or another quantile is used. Like all forms of regression analysis, linear regression focuses on the conditional probability distribution of the response variable given the values of the predictor variables, rather than the joint probability distribution of all variables, which is the domain of multivariate analysis.
Assumption:1. Weekly Exogeneous:
It means that we can treat the predictor variable x as a fixed value rather than as a random variable. This means, for example, that the predictor variables are assumed to be error-free, ie not contaminated with measurement error. This assumption is not realistic in many situations, but omitting it makes the within-variable error model much more difficult.
2. Linearity:
This means that the mean response variable is a linear combination of the parameters (regression coefficients) and the predictor variables. . The predictor variables themselves can be arbitrarily transformed. In fact, we can add multiple copies of the same underlying predictor variable, each transformed differently.
3. Constant variance or Homogeneity:
This means that the error variance does not depend on the values of the predictor variables. Therefore, for any given fixed value of the predictor, the variability of the response is the same no matter how large or small the response is. This is often not the case because variables with large mean values usually have more variance than variables with small mean values.
4. Independence from:
This assumes that the response errors are uncorrelated. (True statistical independence is a stronger condition than just lack of correlation and is often unnecessary, but can be exploited when it is known to hold.) Generalized least squares, etc. Some methods in can handle correlated errors, but this usually requires significantly more data unless some kind of regularization is used to bias the model to accept uncorrelated errors Bayesian linear regression is a popular method for handling this problem.
5. Lack of Multicollinearity:
Predictors are not fully multicollinear. For the standard least-squares estimation method, the design matrix X must have perfect column rank p. Otherwise, the predictors are perfectly multicollinear, meaning there is a linear relationship between two or more predictors. This can be caused by erroneously duplicating variables in the data, using linear transformations of the variables together with the original variables, or using multiple variables in the model. It can be caused by inserting a linear combination. as their average. It is also possible that too little data is available relative to the number of estimated parameters.
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evaluate the expression for the given value of the variable. 56 + 1/6r r= 1/2
Answers
Answer:
337 = 3
Step-by-step explanation:
Multiply by LCM
337 = 3
and the sides are not equal so I guess there is no answer but
337 = 3
Find the demand function for the marginal revenue function. recall that if no items are sold, the revenue is 0. R′(x)=0.06x2−0.05x+138
Answers
The revenue function for the given marginal revenue function
R'(x) = 0.06x² - 0.05x + 138 be
R(x) = 0.02x³ - 0.025x² + 138x
Given, a marginal revenue function,
R'(x) = 0.06x² - 0.05x + 138
we have to find the demand function
as, we know that the demand function can be find by integrating the marginal revenue function with respect to the variable x.
So, as the marginal revenue function is given,
R'(x) = 0.06x² - 0.05x + 138
On integrating with respect to x, we get
R(x) = 0.06x³/3 - 0.05x²/2 + 138x + C
where C is an arbitrary constant.
Also, it is given that
R(0) = 0
So, R(0) = 0.06(0) - 0.05(0) + 138(0) + C
0 = C
R(x) = 0.06x³/3 - 0.05x²/2 + 138x + 0
R(x) = 0.02x³ - 0.025x² + 138x
So, the revenue function be R(x) = 0.02x³ - 0.025x² + 138x
Hence, the revenue function be R(x) = 0.02x³ - 0.025x² + 138x
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x²+10x+x+10 what is the answer using grouping
Answers
Answer:
Step-by-step explanation:
?
the buses at the zoo express bus company depart as scheduled 80% of the time. the buses depart and arrive as scheduled 68% of the time. what is the probability that a zoomy express bus arrives as scheduled if it departs as scheduled?
Answers
The probability that a zoomy express bus arrives as schedule if it departs as schedule is 0.85.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the event's impossibility and 1 indicates certainty. An event's likelihood of occurring increases with its probability.
now , let D = depart on time and A = arrives on time
given that ,
P(D) = 80% = 0.80
P(A∩D) = 68% = 0.68
P(A/D) = [tex]\frac{0.68}{0.80}[/tex]
= [tex]\frac{68}{80}[/tex]
= [tex]\frac{17}{20}[/tex]
= 0.85
Hence , the probability is 0.85.
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An airplane make a 10° angle of elevation from the runway when it take off. The airplane hown i 2,000 feet along the ground from it take-off point
Answers
Therefore, by using trigonometry and ratios of trigonometry the height of the airplane is 426 feet.
What is trigonometry?Trigonometry is the study of angles and the angular relationships of planar and three-dimensional figures. Trigonometric functions (also known as circular functions) include the cosecant, cosine, cotangent, secant, sine, and tangent.
With this drawing, we can see that this is a right triangle, which can be solved using some trigonometry. To solve the height, we must use the tangent:
for the diagram see the image.
[tex]tanA = \frac{opposite}{adjecent} \\tan (12) = \frac{opposite}{adjecent} \\\frac{0.213}{1} = \frac{height}{2000}\\height = 2000(0.213)\\\\[/tex]
height = 426 feet
Therefore, the height of the airplane is 426 feet.
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factorise fully the following 3x^3 - 9x
Answers
Determine the slope of the line that contains the points (15,7) and (6, 13).
Answers
Answer: -0.66667
Step-by-step explanation:
call a 33-digit number geometric if it has 33 distinct digits which, when read from left to right, form a geometric sequence. find the difference between the largest and smallest geometric numbers.
Answers
The difference between the largest and smallest geometric numbers is 840.
Assume that the largest geometric number starts with a 9.
We know that the common ratio must be a rational of the form k/3 for some integer k, because a whole number should be attained for the 3rd term as well. When k = 1, the number is 931.
When k = 2, the number is 964. When k = 3, we get 999, but the integers must be distinct.
By the same logic, the smallest geometric number is 124.
The largest geometric number is 964 and the smallest is 124. Thus the difference is 964 - 124 = 840.
Hence, the difference between the largest and smallest geometric numbers is 840.
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find the slope:(-8,-3) and (-2,1)
Answers
Answer:
2/3
Step-by-step explanation:
To find slope, we have:
change in y /(over) change in x
1-(-3) = 4, and -2-(-8) = 6, so 4/6 = 2/3, which is our answer.
Solve.
(3√3)^−x+1 =1/3⋅27^x−5
Answers
The required simplified value of the given expression is x = 0.67.
Given that,
To determine the simplified solution of the expression, [tex]\left(3\sqrt{3}\right)^{-x}+1=\frac{1}{3}\left[27^x-5\right][/tex]
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
In order to simplify the given expression, we have to transpose the number across the equal sign as exponents numbers tobe either side and constant on the other side.
[tex]=\left(3\sqrt{3}\right)^{-x}+1=\frac{1}{3}\left[27^x-5\right]\\=\left(\left(3\sqrt{3}\right)^x\right)^{-1}+1=\frac{1}{3}\left[\left(\left(3\sqrt{3}\right)^x\right)^2-5\right]\\= 2 / 3\\= 0.67[/tex]
Thus, the required simplified value of the given expression is x = 0.67.
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Lincoln bought a sweatshirt for $45.00. He had a 25% coupon to use to buy his sweatshirt. How much was the total cost?
Answers
Answer: 11.25
Step-by-step explanation: you just find out what is 25% of 45.00
Answer:
11.25
Step-by-step explanation:
turn 25 into a decimal and then multiply 45
5. Two more than a certain number is 15 less than the product of
8
a. Equation:
and the number.
b. Solution:
help?? :,)
Answers
Answer:
x = -136
Step-by-step explanation:
x + 2 = 7/8 x -15 Multiply all the way through by 8
8x + 16 = 7x -120 Subtract 7x from both sides
x + 16 = -120 Subtract 16 from both sides
x = -136
A horse galloped along seven and three sevenths miles of trail. There were hurdles spaced evenly throughout the trail every four sevenths of a mile. How many hurdles did the horse jump?
Answers
Answer:
13 Hurdles
Step-by-step explanation:
If a horse galloped along seven and three sevenths miles of trail and hurdles spaced evenly throughout the trail every four sevenths of a mile then there are 13 such hurdles after solving all the fractions.
Given that a horse galloped along seven and three sevenths miles of trail and hurdles spaced evenly throughout the trail every four sevenths of a mile.
We are required to find the number of hurdles. All the values are given in fractions.
Ability of horse to gallop=7+3/7
=(49+3)/7
=52/7
Distance between two hurdles=4/7
Number of hurdles=52/7/4/7
=52*7/4*7
=52/4
=13 hurdles
Hence if a horse galloped along seven and three sevenths miles of trail and hurdles spaced evenly throughout the trail every four sevenths of a mile then there are 13 such hurdles after solving all the fractions.
What is the value of n when 3/5
of n equals 45? Enter the answer in the box.
Answers
At n = 75 the value of 3/5 * n will be 45
What is Fraction?
A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction denotes the number of components of a specific size.
Solution:
Since we are given that 3/5 of n is 45
We can for an equation as 3/5 * n = 45
and to solve this we neeed to use cross multiplication method for the same
Cross Multiplication
n = 45*5/3
n = 15*5
n = 75
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