The slope of a linear function is calculated as the change in y divided by the change in x, instead of the change in x divided by the change in y, as the student did, hence the correct slope is given as follows:
1/2 = 0.5.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.From the graph, when x increases by 2, y increases by 1, hence the slope m of the linear function is given as follows:
m = 1/2
m = 0.5.
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HELP!!! Find the inverse of the matrix..
Answer:
The matrix does not have an inverse (D)
Step-by-step explanation:
The matrix is singular, therefore doesn't have an inverse
How is this proportional?
Answer:
you are subtracting 1.40 everytime to get the number at the bottom
Step-by-step explanation:
2 - 1.40 = 1.40
3 - 1.40 = 2.40
6 - 1.40 = 5.40
7 - 1.40 = 6.40
19) Find the ratio between number faces and number of edges in the below rectangular prism.
Answer:
1 : 2
Step-by-step explanation:
Rectangular prism
Faces = 6
Up and bottom ; right and left ; front and back . So total 6 faces.
Edges: Two faces meet at an edge.
Edges = 12
Face :Edges = 6 : 12
= 6÷6 : 12÷6
= 1 : 2
Fred and Matt are playing basketball. If x represents the points Matt ended with, and 3x represents the points Fred ended with, what does that tell you about the relationship between Matt and Fred’s points?
It tells you that Fred has three times the score more than Matt.
This is because Matt has x points, Fred tops Matt by 3x points.
Find the area. PLEASE HELP!!!!
Answer:
623 mm²
Step-by-step explanation:
I am going to split this shape into a 15mm x 19mm rectangle and a 26mm x 13mm rectangle. (the 19mm comes from 32mm at the bottom minus 13mm at the top to find how long the first rectangle is)
Rectangle 1: 15mm • 19mm = 285mm²
Rectangle 2: 26mm • 13mm = 338mm²
Total Area: 285mm² + 338mm² = 623mm²
All of the following are examples of joint hypotheses on multiple regression coefficients, with the exception of:
(A)H0: 3/2 = 1 and 4 = 0
(B) H0:1 + 2 = 1.
(C) H0: 1 = −2 and 1 + 2 = 1.
(D) H0: 2 = 0 and 3 = 0.
The correct answer of joint hypotheses on multiple regression coefficients ption (D) is the exception in this case.
In multiple regression analysis, joint hypotheses involve the null hypothesis of equality or inequality between two or more regression coefficients.
Option (A) H0: 3/2 = 1 and 4 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two regression coefficients.
Where the coefficients are 3/2 and 1, and another null hypothesis of inequality between a coefficient and zero, where the coefficient is 4.
Option (C) H0: 1 = −2 and 1 + 2 = 1 is an example of a joint hypothesis that involves the null hypothesis of equality between a coefficient and a negative value.
Where the coefficient is 1, and another null hypothesis of equality between the sum of two coefficients and a value, where the coefficients are 1 and 2.
Option (D) H0: 2 = 0 and 3 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two coefficients and zero, where the coefficients are 2 and 3.
However,
Option (B) H0:1 + 2 = 1 is not a joint hypothesis involving regression coefficients.
It is simply an equation involving two constants, 1 and 2, and the null hypothesis states that their sum is equal to 1.
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put it in standard form. 4x² + 3x³ - 6x
Answer:
3x^3+4x^2-6x
Step-by-step explanation:
There were 120 students at the creative shop writing workshop last year. This year there are 138 students. What is the percent of increase in the number pf students at the workshop?
Answer:
258
Step-by-step explanation:
What is an equation that models each translation?
b. y=2 sin x, π/4 units to the right
the required equation for the translation y = 2sin x, π/4 units to the right is; y = 2sin (x-π/4)
The given function is y = 2sin x. π/4 units to the right can be considered as a translation. To write an equation for the given translation, the formula to be used is f(x-a)
For translating the function y = 2 sin x, π/4 units to the right, the following steps can be followed: The general formula is; f(x-a) For the given function, a = π/4 (as the function needs to be translated π/4 units to the right).
The equation becomes; y = 2 sin (x-π/4) Therefore, the required equation for the translation y = 2sin x, π/4 units to the right is; y = 2sin (x-π/4). For the given function, a = π/4 (as the function needs to be translated π/4 units to the right).
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(!!!!!VERY URGENT!!!!!!) find the area of the composite figure
si 33 es multiplo 11 setiene que 11 es divisor de 33
Answer:
ABOOMABALACACA VETE ALA VERGA
Step-by-step explanation:
CITA TIEMPOS
Can you solve 17+4x<9
Answer:
x<-2
Step-by-step explanation:
17+4x<9
4x<-8
x<-2
The solution is:
↬ x < -2Work/explanation:
Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).
Make sure that all constants are on the right:
\(\bf{4x < 9-17}\)
\(\bf{4x < -8}\)
Divide each side by 4:
\(\bf{x < -2}\)
Hence, x < -2Pls help me in my math assignment
Dividing Decimals up to 2 decimal places
show that a (AUB) CƏA U OB
To show that (A U B) C ⊆ A U B, we need to prove that every element in the set (A U B) C is also in the set A U B. In other words, if an element belongs to the complement of (A U B), it must also belong to A U B.
Let's assume that x is an arbitrary element in (A U B) C. This means that x is not in the set A U B, which implies that x does not belong to A and x does not belong to B.
Since x is not in A U B, it must be in the complement of A U B. By definition, the complement of A U B contains all elements that are not in A U B. Hence, x belongs to the complement of A U B.
Now, we know that x belongs to the complement of A U B, and we also know that x does not belong to A U B. Therefore, x must belong to the complement of A U B but not to A U B itself.
This implies that x belongs to the complement of (A U B), which means x is an element of (A U B) C. Hence, we can conclude that if x belongs to (A U B) C, then x also belongs to A U B.
Since x was chosen arbitrarily, this conclusion holds for all elements in (A U B) C. Therefore, we have shown that (A U B) C ⊆ A U B.
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Write an expression for the calculation 47 minus 3times the difference of 15 2
Answer:
(47 - 3) * (51-2)
Step-by-step explanation:
Use a maclaurin series in this table to obtain the maclaurin series for the given function. F(x) = x cos(5x)
By using a maclaurin series to obtain the maclaurin series for the given function is F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)
To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)
Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)
\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)
We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)
\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)
\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)
This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.
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the standard iq test has a mean of 101 and a standard deviation of 16. determine the required sample size if we want to estimate the population mean with 98% confidence to within 4 iq points of the true mean.
we need to randomly sample 145 individuals from the population and calculate their mean IQ.
To determine the required sample size for estimating the population mean with 98% confidence to within 4 IQ points of the true mean, we can use the formula:
n = \((Z\alpha /2 × σ / E)^{2}\)
Where: n = sample size
Zα/2 = the Z-score for the desired confidence level (98% confidence corresponds to Zα/2 = 2.33)
σ = the population standard deviation (given as 16 IQ points)
E = the desired margin of error (4 IQ points)
Plugging in these values, we get:
n = \((2.33 × 16 / 4)^{2}\)
n = 144.49
Rounding up to the nearest whole number, we get a required sample size of n = 145.
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find all real solutions to the following equations using factoring (not the quadratic formula). if you are unable to solve by factoring, briefly explain why you cannot solve by factoring. (1) x 2 3x − 40
To find the real solutions of the equation x^2 - 3x - 40 = 0 using factoring, we need to factor the quadratic expression into two binomials and set each binomial equal to zero.the real solutions to the equation x^2 - 3x - 40 = 0 are x = 8 and x = -5
To factor the quadratic expression x^2 - 3x - 40, we look for two numbers whose product is -40 and whose sum is -3. After some trial and error, we find that the numbers are -8 and 5.
Thus, we can rewrite the quadratic expression as (x - 8)(x + 5) = 0.
Setting each binomial equal to zero gives us two equations to solve:
x - 8 = 0 and x + 5 = 0.
Solving the first equation, we find x = 8. Solving the second equation, we find x = -5.
Therefore, the real solutions to the equation x^2 - 3x - 40 = 0 are x = 8 and x = -5.
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I NEED HELP ASAP!!! MIGHT MARK BRAINLIEST
Answer:
the temp now is 0 degrees
-12+12=0
Step-by-step explanation:
hope i helped
brainliest pls!
-Zylynn
Solve the equation using the quadratic formula. 3y^2 - 6y = 1
we have the equation
3y^2 - 6y = 1
equate to zero
3y^2 - 6y - 1=0
a=3
b=-6
c=-1
substitute the given values in the formula
\(y=\frac{-(-6)\pm\sqrt[]{-6^2-4(3)(-1)}}{2(3)}\)\(y=\frac{6\pm\sqrt[]{48}}{6}\)simplify
\(y=\frac{6\pm4\sqrt[]{3}}{6}\)the solutions for y are
\(y=1+\frac{2\sqrt[]{3}}{3}\)and
\(y=1-\frac{2\sqrt[]{3}}{3}\)A 95% confidence interval for a certain population proportion was calculated to be between
0.731 and 0.84. Calculate the margin of error (by-hand)
suppose x is a normal random variable with exam image and exam image find p(3.6 < x < 53.5). a) exam image b) exam image c) exam image d) exam image e) exam image f) none of the above.
After using the test statistic z, P(3.6<X<53.5) = 0.967.
In the given question, suppose X is a normal random variable with mean 35 and sdev 10.
We have to find P(3.6<X<53.5).
Fro the given question,
Mean x = 35
sdev s = 10
Z = X - mu / sd
P(3.6<X<53.5) = P ( 3.6-35/10 < Z < 53.5-35/10 )
P(3.6<X<53.5) = P ( -31.4/10 < Z < 18.5/10 )
P(3.6<X<53.5) = P ( -3.14 < Z < 1.85 )
P(3.6<X<53.5) = P ( Z < 1.85) - P ( Z < -3.14)
left tail of both
P(3.6<X<53.5) = 0.9678 - 0.0008
P(3.6<X<53.5) = 0.967
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The right answer is:
Suppose X is a normal random variable with mean 35 and sdev 10. Find P(3.6<X<53.5)
5)Trevon's school is selling tickets to the annual dance competition. On the first day of ticket sales
the school sold 5 senior citizen tickets and 8 student tickets for a total of $94. The school took in
$164 on the second day by selling 10 senior citizen tickets and 13 student tickets. Find the price
of a senior citizen ticket and the price of a student ticket
Answer:
$8 for student tickets and $4.40 for senior tickets
Step-by-step explanation:
10 (5x +8y=94)
5 (10x +13y=164)
50x+80y=940
- 50x +65y=820
80y-65y= 940-820
15y= 120/15
y=8
(y is the cost of student tickets)
5x+8y=94
5x+8(9)=94
5x+72=94-72
5x=22/5
x= 4.4
the covariance of two variables has been calculated to be −150. what does the statistic tell you about the two variables?
The statistic, which is the covariance of two variables, being calculated as -150 indicates that there is a negative linear relationship between the two variables.
Covariance measures the direction and strength of the linear relationship between two variables. A positive covariance indicates a positive linear relationship, while a negative covariance indicates a negative linear relationship. The magnitude of the covariance indicates the strength of the relationship. In this case, a covariance of -150 suggests a moderately strong negative linear relationship between the variables.
A negative covariance implies that as one variable increases, the other variable tends to decrease. In other words, the variables move in opposite directions. The magnitude of the covariance (-150) suggests that the relationship between the variables is relatively strong.
However, it is important to note that covariance alone does not provide information about the exact nature or strength of the relationship. Further analysis and interpretation, such as calculating the correlation coefficient, are needed to fully understand the relationship between the two variables.
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Use the information to answer the question.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 275 inches? Enter the answer in the box.
meters
0
Answer:
7 m
Step-by-step explanation:
We are told that;
100 cm = 1 m
Thus; 2.54 cm = 2.54 × 1/100 = 0.0254 m
This means that;
1 inch = 0.0254 m
Thus; 275 inches will give; 275 × 0.0254/1 = 6.985 m
Approximating to the nearest metre gives 7 m
Suppose that shares of Walmart rose rapidly in price from $45 to $100 as a result of a doubling of corporate profits. Later, they fell to $60 at which point some investors will buy, figuring it must be a bargain (relative to the recent $100). Such investors are displaying which bias? a) Recency b) Anchoring c) Representativeness d) Confirmation Previous Page Next Page Page 3 of 6
The bias displayed by investors who consider the $60 price a bargain relative to the recent $100 price is: b) Anchoring
Anchoring bias refers to the tendency to rely heavily on the first piece of information encountered (the anchor) when making decisions or judgments. In this case, the initial anchor is the high price of $100, and investors are using that as a reference point to evaluate the $60 price as a bargain. They are "anchored" to the previous high price and are influenced by it when assessing the current value.
Anchoring bias is a cognitive bias that affects decision-making processes by giving disproportionate weight to the initial information or reference point. Once an anchor is established, subsequent judgments or decisions are made by adjusting away from that anchor, rather than starting from scratch or considering other relevant factors independently.
In the given scenario, the initial anchor is the high price of $100 per share for Walmart. When the price falls to $60 per share, some investors consider it a bargain relative to the previous high price. They are influenced by the anchor of $100 and perceive the $60 price as a significant discount or opportunity to buy.
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Peter cycles at 15 km/h. How long will it take to cycle 56-km? with steps
Answer:
3.7 hrs
Step-by-step explanation:
Speed = 15km/ 1 h
Distance = 56 km
Time = x
15/1 = 56/x
x= 56 / 15 ~ 3.7 hrs
I hope im right!!
13. Is the sum of the areas of two
squares equal to the area of a large square
if the side lengths of the squares are 8 feet,
5 feet, and 3 feet? Note that the area of
a square is s2 where s is the side length explain
Answer:
multiply ata gagawin dyan Ewan
Dance club has a $20 start up fee and a $5 monthly fee
M=
B=
Y=
9514 1404 393
Answer:
y = 5x +20
Step-by-step explanation:
We assume you want the total cost (y) of x months of membership at the dance club.
This will be the sum of the start-up fee (20) and the product of the monthly fee (5) and the number of months (x).
y = 5x +20
Comparing this to the slope-intercept form of the equation of a line, we see ...
y = mx + b
m = 5
b = 20
what is the first step in hypothetical-deductive reasoning?
The first step in hypothetical-deductive reasoning is to formulate a hypothesis. A hypothesis is an educated guess or prediction based on observations and previous knowledge. It is a statement that can be tested and possibly falsified through further observations and experiments. Once a hypothesis is formulated, the next step is to design an experiment or observation to test it. This involves identifying variables that can be manipulated or measured and determining the methods for manipulating or measuring them. After the experiment or observation is conducted, the data are analyzed and conclusions are drawn based on the results. The conclusions may confirm or reject the hypothesis, leading to further refinement of the hypothesis or the development of a new hypothesis.
The first step in hypothetical-deductive reasoning is the formulation of a hypothesis.
Hypothetical-deductive reasoning starts with the formulation of a hypothesis, which serves as a tentative explanation or prediction for a given phenomenon or problem. In this process, an individual or researcher uses their knowledge, observations, and previous information to generate a possible solution or explanation.
The formulation of a hypothesis involves considering the available evidence, conducting research, and analyzing the existing data. It requires critical thinking and creativity to develop a logical and testable statement that can be further investigated. The hypothesis should be specific, clear, and based on logical reasoning.
Once a hypothesis is formulated, it serves as a starting point for the deductive phase of reasoning. Deductive reasoning involves making specific predictions or deriving logical consequences based on the hypothesis. These predictions can then be tested through empirical research or experiments to evaluate the validity of the hypothesis and gather further evidence.
Overall, the first step in hypothetical-deductive reasoning is the formulation of a hypothesis, providing a framework for subsequent investigation and the generation of testable predictions.
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