Answer:
2
Step-by-step explanation:
When you plug in 3 for the value of x you get the equation: 4(3)-2/5 (being divided by 5)
Now we solve the top and the bottom of the fraction.
4×3=12
12-2=10
10/5= 2
Hope this helps! :)
What do the coordinates of an undefined slope have in common?
The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.
pls help!!
6cm, 5cm, 9cm
Three circles with radii of 4, 5, and 6 cm, respectively, are tangent to each other externally. Find the angles of the triangle whose vertexes are the centers of the circles.
Note that the angles of the triangle whose vertexes are the centers of the circles are 50.48°, 58.99°, 70.53°.
How is this so?Three circles with radii 4, 5, and 6 from a triangle whose sides are the sum of their radii in pairs.
Thus, the sides of the triangle are
4 + 5, 4 + 6, and 5+6.
⇒ 9,, 10, 11.
To find the interior angles
CosC = a² + b² + c²/ 2ab
Cost C = (9² + 10² -11²) / (2 x9x10)
= 81 + 100 -121/180
= 60/180
= 1/3
C = 70.53°
Similar
Cos A = (10² + 11² - 9²) / (2 x10x11)
= 100 + 12181 + /180
= 140/220
= 7/11
A = 50.48°
Cos B = 9² + 11² - 10²/ 2x 9 x 11
= 102/198
B = 58.99°
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
1. Calculate Q3 of the following data:
4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4
Answer:
4.75
Step-by-step explanation:
How do you convert raw score to LSAT?
Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.
Here's a general overview of the process of converting a raw score to a scaled LSAT score:
- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.
- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.
- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.
It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.
Step-by-step explanation:
Fill in the missing number
7x3=(__x3)+(4x3)
Answer:3
Step-by-step explanation:
7x3=21 4x3=12 21÷12=9 3x3=9
Answer:
3Step-by-step explanation:
7 × 3 = (x × 3) + (4 × 3)21 = 3x + 123x = 21 - 123x = 9x = 9/3x = 37 × 3 = (3 × 3) + (4 × 3)
ab sorumu silmeyin be aga
Answer:
ab don't delete my question aga
Step-by-step explanation:
alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. how many calories are in one cookie?
Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.
A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.
Let x = calories in cookies.
y = calories in carrots.
Now, according to the question:
5x + 2y = 590 --------------------------------------- (1)
3x + 4y = 410 -------------------------------------- (2)
Multiplying equation(1) by 3 and equation(2) by 5:
15x + 6y = 1770 ---------------------------(3)
15x + 20y = 2050 ---------------------------(4)
Solving we get:
y = 280/14
or, y = 20 units.
Putting the value of y = 20 in equation (2)
3x + 4y = 410
⇒ 3x + 4 × 20 = 410
⇒ 3x = 410 - 80
⇒ x = 330/3
⇒ x = 110 Units
Therefore, the calories of cookies is 110 units .
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A rectangular garden will be fenced using 400 feet of fencing material. One side of the garden is partly covered by the barn and that part will not be fenced. If the barn is 50 feet long, what are the dimensions that will maximize the area of the garden? what is the largest possible area?.
The dimensions that will maximize the area of the garden are 112.5 feet and 112.5 feet and the largest possible area is 12656.25 unit².
How to calculate the area?From the information given, the perimeter of the rectangle will be:
x + x + y + (y - 50)
= 2x + 2y - 50
The perimeter of given as 400. This will be:
2x + 2y - 50 = 400
Collect like terms
2x + 2y = 450
Divide through by 2.
x + y = 225
y = 225 - x
The area will be:
Area = Length × Width
Area = x × y
Area = x(225 - x)
Area = 225x - x²
But differentiating with respect to x, x = 112.5
y will be: = 225 - x = 225 - 112.5 = 112.5
Therefore, the maximum area will be:
= 112.5 × 11.25
= 12656.25 unit²
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PLZZZZZZZZZZZZZZZZZZ HEEELLLLLPPPPPPP
WIIILLLL GIIVE BRAIINLIESTTT
Answer:
2⁶
Step-by-step explanation:
Rule of exponents, if you multiply number with the same base, you add the exponents
- Gage Millar, Algebra 2 tutor
3) In recent years, a growing array of entertainment options competes for consumer time. By 2004 , cable television and radio surpassed broadcast television, recorded music, and the daily newspaper to become the two entertainment media with the greatest usage (The Wall Street Journal, January 26, 2004). Researchers used a sample of 10 individuals and collected data on the hours per week spent watching cable television and hours per week spent listening to the radio. Use a .05 level of significance and test for a difference between the population mean usage for cable television and radio.
A study conducted in 2004 examined the usage of cable television and radio among 10 individuals to determine if there was a significant difference in the average hours spent on each medium. Using a significance level of 0.05, statistical analysis was performed to test for a disparity between the population mean usage of cable television and radio.
The researchers collected data on the number of hours per week spent watching cable television and listening to the radio from a sample of 10 individuals. The objective was to determine if there was a significant difference in the average usage between cable television and radio, considering the increasing competition among various entertainment options.
To test for a difference between the population mean usage for cable television and radio, a statistical hypothesis test was conducted. The significance level (α) of 0.05 was chosen, which means that the results would be considered statistically significant if the probability of obtaining such extreme results by chance alone was less than 5%.
The test compared the means of the two samples, namely the average hours spent watching cable television and listening to the radio. By analyzing the data using appropriate statistical techniques, such as a two-sample t-test, the researchers determined whether the observed difference in means was statistically significant or could be attributed to random variation.
After conducting the hypothesis test, if the p-value associated with the test statistic was less than 0.05, it would indicate that there was a significant difference between the population mean usage of cable television and radio. Conversely, if the p-value was greater than 0.05, there would be insufficient evidence to conclude a significant disparity.
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Writé the equation for a parabola with x-intercepts of 1 and -3 and passes through
(-9,28).
Answer:
\(\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)\)
Step-by-step explanation:
Equation of the Parabola
The general form of the equation of the parabola is:
\(f(x)=ax^2+bx+c\)
We can try to find the values of a,b, and c by using the three given points (1,0),(-3,0),(-9,28).
However, we'll use an easier method. There is another form of the parabola in case we know its roots, also called zeros or x-intercepts. If p and q are the roots of f, then f can be expressed as:
\(f(x)=a(x-p)(x-q)\)
We already know the values of p=1 and q=-3, thus replacing them into the equation, we have:
\(f(x)=a(x-1)(x+3)\)
We only need to find the value of a. We do that by using the point (-9,28):
\(28=a(-9-1)(-9+3)\)
Operating:
\(28=a(-10)(-6)=60a\)
Solving for a:
\(\displaystyle a=\frac{28}{60}=\frac{7}{15}\)
Thus, the equation of the parabola is:
\(\boxed{\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)}\)
Find the mass of the solid bounded by the planes x+z=1,x−z=−1,y=0, and the surface y=√z.
The density of the solid is 6y+12. The mass of the solid is (Type an integer or a simplified fraction.)
The mass of the solid bounded by planes x+z=1,x−z=−1,y=0, and the surface y=√z is 0.
To find the mass of the solid, we need to calculate the volume of the solid and multiply it by the density. First, let's determine the limits of integration.
From the given information, we have the following constraints:
1. Plane 1: x + z = 1
2. Plane 2: x - z = -1
3. Plane 3: y = 0
4. Surface: y = √z
To find the limits of integration, we need to determine the intersection points of these planes and surfaces.
From plane 1 and plane 2, we can find x = 0 and z = 1.
From plane 3, we have y = 0.
From the surface equation, we have y = √z. Since y = 0, we can conclude that z = 0.
Therefore, the limits of integration are:
x: 0 to 0
y: 0 to 0
z: 0 to 1
Now, we can set up the triple integral to calculate the volume of the solid:
V = ∫∫∫ (6y + 12) dV
Integrating over the given limits, we get:
V = ∫[0 to 1]∫[0 to 0]∫[0 to 1] (6y + 12) dzdydx
Simplifying the integral, we get:
V = ∫[0 to 1]∫[0 to 0] [(6y + 12)z] dzdydx
= ∫[0 to 1]∫[0 to 0] (12z) dzdydx
= ∫[0 to 1]∫[0 to 0] 0 dzdydx
= 0
Therefore, the volume of the solid is 0. Since the mass of the solid is calculated by multiplying the volume by the density, the mass of the solid is also 0.
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The population mean for a college Introduction to Biology quiz is 15 points. A sample of 45 high school seniors earns an average of 18.54 points. A 90% confidence interval for the true mean of high school seniors is [15.87, 21.20]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.1
Answer:
C) Reject null, because 15 is not in the interval.
Step-by-step explanation:
I need help immediately pls
Answer:
Triangle MBT
Step-by-step explanation:
Congruent basically means an identical triangle in this situation, so the congruent triangle to VET would be MBT
Answer:
triangle mbt is congruent to triangle vet by sas
Step-by-step explanation:
sas stands for side angle side.
angle t is congruent for both triangles
the lines show that line mt and vt are congruent, and line et and bt are too.
since angle t is between both lines that are congruent, it would be through sas
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the system using an augmented matrix. Show all work. {
−x−3y=−17
2x−6y=−26
Previous question
The solution to the system of equations is x = 2 and y = 5
Solving the system using an augmented matrix.From the question, we have the following parameters that can be used in our computation:
-x - 3y = -17
2x - 6y = -26
Express as matrix
So, we have
\(\left[\begin{array}{cc|c}-1&-3&-17\\2&-6&-26\end{array}\right]\)
Divide the second row by 2
So, we have
\(\left[\begin{array}{cc|c}-1&-3&-17\\1&-3&-13\end{array}\right]\)
Let the second row be
R₂ = R₁ + R₂
So, we have
\(\left[\begin{array}{cc|c}-1&-3&-17\\0&-6&-30\end{array}\right]\)
Divide the second row by -6
\(\left[\begin{array}{cc|c}-1&-3&-17\\0&1&5\end{array}\right]\)
Divide the first row by -1
So, we have
\(\left[\begin{array}{cc|c}1&3&17\\0&1&5\end{array}\right]\)
Let the first row be
R₁ = R₁ - 3R₂
So, we have
\(\left[\begin{array}{cc|c}1&0&2\\0&1&5\end{array}\right]\)
From the above, we have
x = 2 and y = 5
Hence, the solution to the system is x = 2 and y = 5
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what is 5x^2 + 6x - 10 subtracted from 7x2 -9x - 3
The result of subtracting 5x² + 6x - 10 from 7x² - 9x - 3 is 2x² - 3x - 13.
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
When subtracting two polynomials, we need to subtract their corresponding terms. In this case, we have:
(7x² - 9x - 3) - (5x² + 6x - 10)
To simplify this expression, we can distribute the negative sign to the terms inside the parentheses:
7x² - 9x - 3 - 5x² - 6x + 10
Next, we can combine like terms. Starting with the x² terms, we have:
(7x² - 5x²) - 9x - 3 - 6x + 10
Simplifying the x² terms gives us:
2x² - 9x - 3 - 6x + 10
Next, we can simplify the x terms:
2x² - (9x - 6x) - 3 + 10
The parentheses around (9x - 6x) are used to emphasize that we are subtracting the quantity 6x from 9x. This simplifies to:
2x² - 3x - 13
So, the result of subtracting 5x² + 6x - 10 from 7x² - 9x - 3 is 2x² - 3x - 13.
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Subtract 5x²+2x-11 from 3x²+8x-7. Express the result as a trinomial
Answer:
\( \sf \: -2x² + 6x + 4 \)
Step-by-step explanation:
Given problem,
→ (3x² + 8x - 7) - (5x² + 2x - 11)
Let's solve the problem,
→ (3x² + 8x - 7) - (5x² + 2x - 11)
→ 3x² + 8x - 7 - 5x² - 2x + 11
→ (3x² - 5x²) + (8x - 2x) + (-7 + 11)
→ (3 - 5)x² + (8 - 2)x + 4
→ -2x² + 6x + 4
Hence, answer is -2x² + 6x + 4.
Please select a b c or d
Answer:
a
Step-by-step explanation:
Based on some data from some states of the United States, the regression line of y= violent crime rate and x= poverty, the prediction equation is y^=209.9+25.5x. a. Interpret the slope of the equation. b. Find the predicted violent crime rate and the residual for NJ for which had x=10.7 and y=805. c. What is the sign of the correlation between these variables? Why?
a) The slope of the equation= 25.5, b) the predicted violent crime rate for NJ is approximately 483.75. c) The sign of the correlation between these variables is expected to be negative.
a. The slope of the equation, 25.5, represents the estimated change in the violent crime rate (y) for each unit increase in the poverty rate (x). Therefore, for every unit increase in the poverty rate, the predicted violent crime rate is expected to increase by 25.5.
b. To find the predicted violent crime rate for NJ, we substitute the given x value of 10.7 into the prediction equation: y^ = 209.9 + 25.5 * 10.7 = 209.9 + 273.85 = 483.75. Therefore, the predicted violent crime rate for NJ is approximately 483.75. The residual for NJ can be calculated as the difference between the actual y value (805) and the predicted y value (483.75): Residual = 805 - 483.75 = 321.25.
c. The sign of the correlation between these variables is expected to be negative. This is because the regression equation predicts that as the poverty rate (x) increases, the violent crime rate (y) also increases. Therefore, there is a positive relationship between poverty and violent crime, indicating a higher correlation between the two variables. The positive slope in the regression equation further supports this interpretation, suggesting a positive correlation between poverty and the violent crime rate.
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There are 16 cups in a gallon. The equation g = 1/16c gives the number of gallons in terms of the
16
number of cups. Write another equation for this situation, giving the number of cups in terms of
the number of gallons:
C =
Answer:
c = 16g
Step-by-step explanation:
g = 1/16 c
Multiply both sides by 16.
16g = c
c = 16g
Plz help with question 16
Answer:
1
Step-by-step explanation:
if you use a level of significance in a two-tail hypothesis test, what decision will you make if zstat?
If the z-statistic falls within the critical region, you reject the null hypothesis. If it falls within the acceptance region, you fail to reject the null hypothesis. The final decision is based on comparing the calculated test statistic to the critical value(s) and considering the level of significance and p-value.
How does the level of significance affect the decision-making process in a two-tail hypothesis test?
The level of significance determines the critical value(s) for the test statistic. If the calculated test statistic falls within the critical region (beyond the critical value(s)), the null hypothesis is rejected. If it falls within the acceptance region, the null hypothesis is not rejected. The decision is based on comparing the calculated test statistic to the critical value(s) determined by the level of significance. Additionally, the p-value is considered, where a smaller p-value strengthens the evidence against the null hypothesis.
To make a decision in a two-tail hypothesis test using a level of significance, you compare the calculated test statistic (such as z-statistic) to the critical value(s) based on the level of significance.
If the calculated test statistic falls within the critical region (i.e., it is beyond the critical value(s)), you reject the null hypothesis. This means that the observed result is statistically significant and provides evidence to support the alternative hypothesis.
On the other hand, if the calculated test statistic falls outside the critical region (i.e., it is within the acceptance region), you fail to reject the null hypothesis. In this case, there is insufficient evidence to support the alternative hypothesis, and you do not conclude that the observed result is statistically significant.
It's important to note that the decision-making process also depends on the p-value associated with the test statistic. If the p-value is smaller than the chosen level of significance, it strengthens the evidence against the null hypothesis and supports the rejection or non-rejection decision.
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The box plot show the lengths of the songs on two digital music players in minutes .Which statement is best supported by the information in the box plots ?
Solution :
In the figure, the box plot represents the lengths of the songs of the two digital music players that is in minutes.
From the figure, we can see that for the music player Y, the interquartile range of the data is small.
And the interquartile range of data is more for the music player X.
So, we can conclude that the interquartile range of data is greater for Music player X than the interquartile range data of music player Y.
jojo is twice as Old as esi who in turn is five years older than kweku . if their total age is 47,how is each of them
Answer:
jojo is 26
esi is 13
and kweku is 8 years old.
Step-by-step explanation:
Let esi's age be x then jojo's age is 2x.
Also kweku's age is x - 5. as esi is 5 years older than kweku.
So x + 2x + x - 5 = 47
4x = 47 + 5 = 52
x = 13.
So jojo's age is 2*13 = 26 and kweku's age is 13 - 5 = 8.
You can infer causality from a correlational result, but only when the r value is greater than ?A. 0B. 5C. 1
You can infer causality from a correlational result, but only when the r value is greater than:
C. 1
Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.
However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.
In addition, there are other factors that need to be considered when assessing causality from a correlational result.
For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.
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Please help!
Give detailed answer
Answer:
Q = 12 units
Step-by-step explanation:
Pythagoras’ Theorem
a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 5 unitsb = Qc = 13 unitsSubstitute given values into the formula and solve for Q:
⇒ a² + b² = c²
⇒ 5² + Q² = 13²
⇒ 25 + Q² = 169
⇒ Q² = 169 - 25
⇒ Q² = 144
⇒ Q = √144
⇒ Q = 12 units
Answer:
Q = 12 units
Step-by-step explanation:
Given is a right angled triangle and Q is the measure of one of its legs.Other leg = 5 unitsHypotenuse = 13 unitsBy Pythagoras Theorem:\( Q^2 + 5^2 = 13^2\)\( Q^2 + 25 = 169\)\( Q^2 = 169-25\)\( Q^2 = 144\)\( Q = \pm\sqrt{144}\)\( Q = \pm 12\)Q can not be negative\( \implies Q = 12\:units\)When will a puppy catch a kitten if it moves at 30 mph and and the kitten moves 24 seconds and the kitten moves first, and the distance between them is 200 miles?
Can someone help me with this ASAP please I’m being timed !
Answer:
i think the answer is Function 4 i dont know for sure
Electricity consumption. An economist studying the relation between household electricity consumption (Y) and number of rooms in the home (X) employed linear regression model (2.1) and obtained the following residuals: Plot the residuals e _i against X _i. What problem appears to be present here? Might a transformation alleviate this problem?
A linear regression model of the form Y = β0 + β1X + ε can be written as:
Yi = β0 + β1Xi + ei .
A linear regression model of the form Y = β0 + β1X + ε can be written as:
Yi = β0 + β1Xi + ei
Where ei is the residual for observation i. The plot of ei against Xi is known as a residual plot. The purpose of a residual plot is to check for non-linearity, unequal error variances, and outliers.
In this case, it appears that there is non-linearity present in the data. There appears to be a curved pattern in the residuals, suggesting that a linear regression model may not be the best approach to analyzing the relationship between Y and X. A transformation of the data, such as taking a logarithm of the variables, could potentially alleviate the non-linearity in the data. This could potentially improve the fit of the linear regression model.
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