Answer:
\(\mathsf {g(x) = \frac{1}{2} f(x)}\)
Step-by-step explanation:
\(\textsf {Given :}\)
\(\implies\textsf {f(x) = x}\\\implies \textsf {Graph of g(x)}\)
\(\textsf {Now we see from the equation and the graph}\\ \textsf {that both of them passes through the origin,} \\\textsf {hence they have both the x and y intercepts as 0.}\)
\(\textsf {Take any 2 points on g(x), like (0,0) and (2, 1) and find the slope.}\)
\(\implies \mathsf {m = 1 - 0 / 2 - 0}\)
\(\implies \mathsf {m = 1/2}\)
\(\textsf {Hence, equation of g(x) :}\)
\(\implies \mathsf {g(x) = 1/2x}\)
∴ \(\mathsf {But, f(x) = x}\)
\(\textsf {Therefore, g(x) in terms of f(x) is :}\)
\(\implies \mathsf{g(x) = \frac{1}{2} f(x)}\)
Parent function.
y=xNow
for y=x
Find f(2)
It's 1The scale factor
1/2Now final equation
g(x)=1/2xg(x)=1/2f(x).
Calculate the truth value of the following:
(0 = ~1) = (10)
?
0
1
The truth value of the given proposition is "false".
The truth value of the given proposition can be evaluated using the following steps:
Convert the binary representation of the numbers to decimal:
0 = 0
~1 = -1 (invert the bits of 1 to get -2 in two's complement representation and add 1)
10 = 2
Apply the comparison operator "=" between the left and right sides of the equation:
(0 = -1) = 2
Evaluate the left side of the equation, which is false, because 0 is not equal to -1.
Evaluate the right side of the equation, which is true, because 2 is a nonzero value.
Apply the comparison operator "=" between the results of step 3 and step 4, which yields:
false = true
Therefore, the truth value of the given proposition is "false".
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-2 5/10 - ( - 5 4/15 )
NO LINKS!! Can someone please help? I'll give 25 points because I'm feeling nice. Thanks! Answer will also be marked Brainliest!
Answer:
D. - 2Step-by-step explanation:
5(4 +2x) = -(x - 5) - 720 + 10x = -x + 5 -710x + x = -2 - 2011x = - 22x = -22/11x = -2Correct choice is D
X^2- 4x- 21 as a product of binominal factors
Answer:
( x-7) (x+3)
Step-by-step explanation:
X^2- 4x- 21
What two numbers multiply to -21 and add to -4
-7 * 3 = -21
-7+3 = -4
( x-7) (x+3)
Compare these fractions by filling in the blank with the appropriate sign. 5/11 _____ 4/9
Answer:
5/11 > 4/9
Step-by-step explanation:
5/11 = 0.45454545....
4/9 = 0.44444444....
El triángulo ABC es equilátero y L, M y N son los puntos medios de BC, AB y CA respectivamente. Si MN = 3, ¿cuál es el valor de ML?
The value of ML = 3, using the mid-point theorem of triangles.
According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."
In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.
Thus, by the midpoint theorem, we can say that:
MN || BC, and MN = (1/2)BC,ML || AC, and ML = (1/2)AC, andNL || AB, and NL = (1/2)AB.Assuming AB = BC = AC = x units, we get:
MN = (1/2)BC = x/2,ML = (1/2)AC = x/2, andNL = (1/2)AB = x/2.
Thus, the triangle LMN is an equilateral triangle.
Thus, MN = ML = NL.
Given MN = 3, we can write the value of ML = 3.
Thus, the value of ML = 3, using the mid-point theorem of triangles.
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The given question is in Spanish. The question in English is:
"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"
a+5a=2a+9?Identity or no solution show steps
Answer:
a+ 5a = 2a + 9
<=> 6a -2a = 9
<=> 4a = 9
<=> a = 9/4
=> have one solution
Step-by-step explanation:
Answer:
Neither, a has a solution of 9/4
Step-by-step explanation:
a+5a=2a+9
Combine like terms
6a = 2a -9
Subtract 2a from each side
6a -2a = 2a -9 -2a
4a = 9
Divide each side by 4
4a/4 = 9/4
a = 9/4
Neither, a has a solution of 9/4
Suppose that a simple linear regression model is appropriate for describing the relationship between y = house price (in dollars) and x = house size (in square feet) for houses in a large city. The population regression line is y = 22,500 + 46x and σe = 5,000.
(a) What is the average change in price associated with one extra sq. ft of space?
$ ________
What is the average change in price associated with an additional 100 sq. ft of space?
$ ________
(b) Approximately what proportion of 2,000 sq ft homes would be priced over $120,000? ________ (You may need to use a table. Round your answer to four decimal places.)
Approximately what proportion of 2,000 sq ft homes would be priced under $110,000? _________ (You may need to use a table. Round your answer to four decimal places.)
(a) The average change in price associated with one extra sq. ft of space can be calculated by taking the coefficient of x in the population regression line, which is 46. Therefore, for each additional square foot of space, the average change in price would be $46.
To calculate the average change in price associated with an additional 100 sq. ft of space, we can simply multiply the coefficient by the number of square feet. Therefore, the average change in price associated with an additional 100 sq. ft of space would be $4,600.
(b) To determine the proportion of 2,000 sq ft homes priced over $120,000, we need to first calculate the predicted value of y for x=2,000 using the population regression line.
y = 22,500 + 46(2,000) = $95,500
Next, we need to standardize the predicted value of y by dividing it by the standard error of the estimate (σe).
z = (120,000 - 95,500) / 5,000 = 4.90
Using a standard normal distribution table, we can find that the proportion of homes priced over $120,000 is approximately 0.00003 or 0.003%.
To determine the proportion of 2,000 sq ft homes priced under $110,000, we can follow the same steps but with a different predicted value of y.
y = 22,500 + 46(2,000) = $95,500
z = (110,000 - 95,500) / 5,000 = 2.90
Using the standard normal distribution table again, we can find that the proportion of homes priced under $110,000 is approximately 0.0021 or 0.21%.
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Jonathan is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Jonathan’s height in centimeters?
Answer:
187.96
Step-by-step explanation:
yeah
Some help please? I’m lost
Answer:
1/2
Step-by-step explanation:
When you find the sine of an angle, it is the opposite side / hypotenuse. This means that the hypotenuse of this triangle is 2 and the side opposite to 60° is √3. This means that the side adjacent to 60° is 1 (Pythagorean Theorem). When you find the cosine of an angle, it is the adjacent side / hypotenuse, which in this case will be 1 / 2. Hope this helps!
Answer:
1/2.
Step-by-step explanation:
Sine = opposite side / hypotenuse.
The side opposite 60 degrees has length√3 and the hypotenuse = 2.
By Pythagoras the side adjacent to the angle 60 = √( 2^2 - 3)
= 1 unit.
So cos 60 = adjacent / hypotenuse = 1/2.
Darrien has 60 actors in his theater class. He concludes that 8 out of 15 actors have previous acting
experience. What is the sample size?
answer choices
60
8
15
53
The sample size of the actors is the number of actors Darrien selected
The sample size is 15
How to determine the sample size?From the question, we understand that:
Darrien has 60 actors
This represents the population of the experiment.
Then he selected 15 of the actors, and 8 of them have previous acting experience.
The 15 actors he selected represents the sample of the experiment
Hence, the sample size is 15
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Complete the point-slope equation of the line through (1,3)(1,3)left parenthesis, 1, comma, 3, right parenthesis and (5,1)(5,1)left parenthesis, 5, comma, 1, right parenthesis.
Answer: dang that's tough but like look it up
Step-by-step explanation: give brainlyiest
17 is what percent of 54?
Answer:
3.17647059%
Step-by-step explanation:
54 divided by 17
SOMEONE PLEASE HELP MEEE!!!
Answer: 1080
Step-by-step explanation:
Heres why:
SA is L*W*H as the same formula as volume.
T/F the proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the .
The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the coefficient of determination.
What is coefficient of determination?
The effectiveness of a statistical model in forecasting a result is shown by the coefficient of determination (R²). The dependent variable in the model is a representation of the result.
R² can have a value of 0 or 1, with 1 being the maximum achievable. Simply said, a model's R² will be closer to 1 the more accurate its predictions are.
R² is a more precise measure of goodness of fit. The amount of volatility in the dependent variable that the model can account for.
You can typically tell whether your linear regression data's R² is high or low by graphing it. The graphs below, for instance, display two sets of simulated data:
Dots represent the observations.
The line of best fit, or predictions of the model, is displayed as a black line.
Purple lines represent the deviations (the residuals) between the data and their expected values.
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An obtuse triangle has two angles that measure 28° and 102°, what is the measure of the third side?
Answer:
50 degrees
Step-by-step explanation:
Well, all triangle's angles should add up to 180, so
102+28=130
180-130=50
what are the first 100000000000000000000 digits of pie
Answer:
The first 10 digits of pi (π) are 3.1415926535. The first million digits of pi (π) are below, got a good memory? Then recite as many digits as you can in 30 ...
Step-by-step explanation:
A vending machine containing jellybeans will only dispense one jellybean at a time. Inside the container is a mixture of 24 jellybeans: 12 red, 8 yellow, and 4 green. The yellow jellybeans have a rotten egg flavor. Write each answer as a decimal rounded to the nearest thousandth and as a percent rounded to the nearest whole percentage point. Part A: What is the probability of getting a red jellybean on the first draw? Decimal: P(1 st Red )= Percent: P(1 st Red )= Part B: Let's say you did get a red jellybean on the first draw. What is the probability that you will then get a green on the second draw? Decimal: P(2 nd Green | 1st Red )= Percent: P(2 nd Green | 1st Red )= Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different? Part D: What is the conditional probability of the dependent event "red then green?" Decimal: P(1st Red and 2 nd Green )= Percent: P(1 st Red and 2 nd Green )=
Part A:What is the probability of getting a red jellybean on the first draw?
Given information: Red jellybeans = 12 Yellow jellybeans = 8 Green jellybeans = 4 Total jellybeans = 24 The probability of getting a red jellybean on the first draw is:
Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5
Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%
Part B: Let's say you did get a red jellybean on the first draw.
What is the probability that you will then get a green on the second draw?
Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%
Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?
Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:
Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174
Thus, the answer would be the same as Part B.
Part D: What is the conditional probability of the dependent event "red then green?"
Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2
Probability of the second jellybean being green given that the first jellybean is red is 4/23
Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23 Decimal: P(1st Red and 2nd Green )=2/23 Percent: P(1st Red and 2nd Green )=8.70%
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18 this sign was in a doctor's waiting room.
115 appointments were missed last month.
these missed appointments were a total of 25.3 hours.
work out the mean length of time for each missed appointment.
give your answer in minutes.
The average length of time for each missed appointment was 22 minutes, calculated by dividing the total of 25.3 hours of missed appointments by the 115 missed appointments.
25.3 hours / 115
= 0.21945652173913043
hours per missed appointment. 0.21945652173913043 hours per missed appointment x 60 minutes per hour
= 13.167
minutes per missed appointment. 13.167 minutes per missed appointment rounded up to the nearest minute is 22 minutes per missed appointment.The total of 25.3 hours of missed appointments from last month was divided by the 115 missed appointments to calculate the average length of time for each missed appointment. This calculation came to 0.21945652173913043 hours per missed appointment. To convert this figure to minutes, it was multiplied by 60 minutes per hour. This gave the result of 13.167 minutes per missed appointment. As 13.167 minutes was not a whole number, it was rounded up to the nearest minute, giving a total of 22 minutes per missed appointment.
1. 25.3 hours / 115 missed appointments
= 0.21945652173913043 hours per missed appointment
2. 0.21945652173913043 hours per missed appointment x 60 minutes per hour
= 13.167 minutes per missed appointment
3. 13.167 minutes per missed appointment rounded up to the nearest minute is 22 minutes per missed appointment
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Question is in the images
Not all need to be used!
The two column proof is completed by
Statement Justification
1. DE || KL 1. Given
2. < DFE ≅ < LF-K 2. Vertical Angles Theorem
3. < DEF ≅ < LKF 3. Alternate Interior Angles Theorem
4. Δ FDE ≅ Δ FLK 4. AAS postulate
What is AAS postulate?According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.
In the given problem the side is non included and the angels are congruent and hence completes the proof
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the figure shows triangle ABC and some of its transformed images on the coordinate grid. witch of the four triangles was formed by a translation of triangle ABC ?
A _ is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable. random variable binomial experiment probability distribution binomial probability distribution
A probability distribution is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.
A probability distribution is a mathematical function that assigns probabilities to all possible outcomes of a random variable. It describes the likelihood of each possible value or range of values occurring.
For a discrete random variable, which takes on distinct values, the probability distribution assigns probabilities to each possible value. It specifies the probability of observing each value of the random variable.
For a continuous random variable, which takes on a range of values, the probability distribution assigns probabilities to intervals or ranges of values. Since there are infinitely many possible values within a range, the probability of observing a specific value is usually zero. Instead, the probability distribution provides probabilities for intervals of values, indicating the likelihood of the random variable falling within those intervals.
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PLEASE HELP 100 POINTS BRAINLIEST
Answer:
1044cm²
Step-by-step explanation:
first split the polygon into two shapes
46-21=25
so the length of a shape is 25
so 30x25=750
then 21*14=294
then 750+294=1044cm²
Answer:
1044 cm²
Step-by-step explanation:
Subdivide the polygon into two rectangles by drawing a vertical line from the interior vertex of the L-shape.
Area of a rectangle = width x length
⇒ area of largest rectangle (left) = (46 - 21) x 30 = 750 cm²
⇒ area of smallest rectangle (right) = 14 x 21 = 294 cm²
Total area of shape = 750 + 294 = 1044 cm²
SOMEONE HELP ME PLEASE
9514 1404 393
Answer:
XY = 11
Step-by-step explanation:
XY = YZ
3x +2 = x +8
2x = 6 . . . . . . . . . subtract x+2
x = 3
XY = 3 +8 . . . . . . . . x +8 is the same as 3x+2
XY = 11
Answer:
\(\boxed {\boxed {\sf XY= 11}}\)
Step-by-step explanation:
We are asked to find the value of XY.
We know that Y is the midpoint of XZ. The midpoint of a line bisects the line or divides it into 2 equal parts. The point Y divides the line XZ into 2 parts : XY and YZ. Since Y is the midpoint, XY and YZ are equal.
\(XY= YZ\)
We know that XY is equal to 3x+2 and YZ is equal to x+8.
\(3x+2=x+8\)
Now we can solve for x by isolating the variable. Move all the terms with variables to one side and the constants to the other side. Subtract x from both sides of the equation.
\((3x-x) +2 = (x-x)+8\)
\(2x+2=8\)
Subtract 2 from both sides of the equation.
\(2x+(2-2)= (8-2)\)
\(2x=6\)
Divide both sides of the equation by 2.
\(2x/2= 6/2\)
\(x= 6/2 \\x=3\)
Now we know that x is equal to 3 and we can substitute it back into 3x+2 to solve for XY.
\(XY= 3x+2 \\XY=3(3) +2\\XY=9+2 \\XY=11\)
Angeline would like to make 8 identical bowls for a gift to her family. Each bowl required 34 lbs. of clay. The clay is sold in 5 lb. blocks. How many 5 lb. blocks will she need to buy?
Answer:
it would take 7 packs for one so she will need 56 bags
Step-by-step explanation:
8x34=272
7x8 =56
A pie chart uses 360 degrees to represent 45 people. How many people are represented by an angle of 152 degrees
Answer: 19 people will be represented by an angle 152 degrees.
Step-by-step explanation:
Set up a proportional relationship to solve for this
\(\frac{360}{152} = \frac{45}{y}\) Cross multiply
360y = 6840 Divide both sides by 360
y = 19
The variable in the term 7m⁴ is raised to the power of
Answer:
Raised to the power of 4
Step-by-step explanation:
Hooppee heelps
4x+14=-3x? how does this work? I got -4.25x but i don't think that's right.
Answer:
-2
Hope you could understand.
If you have any query, feel free to ask.
Step-by-step explanation:
\(4x + 14 =- 3x\)
\(4x + 3x = - 14\)
7\(x = - 14\)
x=-2
Which statement about this table of values is true?
A.Because the rate of change is constant, the function is linear
B.Because the rate of change is constant, the function is nonlinear
C.Because the rate of change is not constant, the function is linear
D.Because the rate of change is not constant the function is nonlinear
Answer:
D
Step-by-step explanation:
If something is not constant we know it is non-linear. We know this is not constant because when graphed, the line is not straight.
Answer:
D.
Step-by-step explanation:
Here the rate of change is not constant. For example:
10-5 / 20-17 = 5/3
13-10/23-20 = 3/3 = 1
an algebraic expression, where "a number" is the letter x. You do not need to simplify.
{7 is subtracted from the cube of a number.}
7 is subtracted from the cube of a number.
Answer:
x^3-7
Step-by-step explanation:
The cube of a number means that it is to the power of 3 and 7 is subtracted is just the number cubed and then minus 7.