For the equation 2x-y=4, the x-intercept is (2,0) and the y-intercept is (0, -4) and the graph of the equation is shown below.
To find the intercepts and plot the graph, follow these steps:
The x-intercept is the point at which the value of y=0 and the y-intercept is the point at which the value of x=0.Putting x = 0, we get 2(0) - y = 4⇒ y = -4. Therefore, the y-intercept is (0, -4).Putting y = 0, we get: 2x - (0) = 4⇒ x = 2Therefore, the x-intercept is (2, 0).The graph of the equation can be plotted by joining the two points of intercepts. So, the graph of the equation is shown below.Learn more about intercept:
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A bag of raisins contains 20 oz. If you want to give 25 people equal servings how many ounces should you
give each person? (It says leave your answer as a mixed number) I don’t understand how to do that.
__________ typically are used to display continuous measures.
The histograms typically are used to display continuous measures.
Charts TypesThere are different types of charts: histogram, line chart, pie chart, and others.
The histogram is a type of chart used as a tool that provides a way to assess the distribution of data. From this type of chart, a set of data are previously tabulated and divided into classes. In the other words, the histogram is applied to summarize discrete or continuous measures, so it becomes more easily the understand the used data. There are many websites and software that allow the plot of this type of chart.
From the explanation, it is possible to identify the histograms typically are used to display continuous measures.
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Evaluate the expression below if m=-4, n= 3, and p=12
Answer:
26
Step-by-step explanation:
m=-4
n=3
p=12
m^2n+9p/√np
-4^2*3+9*12/√3*12
16*3+108/√36
48+108/√36
156/6
=26
A study is designed to test the effects of location (island vs. mainland) and squirrels (present or absent) on the cone sizes of lodgepole pines. Which of the following interaction plots is consistent with this combination of main effects and interactions? A main effect of location is present. A main effect of squirrels is present. An interaction between squirrels and location is present.
The interaction plot consistent with the combination of main effects and interactions described is Plot D, which shows an interaction between squirrels and location.
An interaction occurs when the effect of one independent variable (in this case, squirrels) on the dependent variable (cone sizes) depends on the level of another independent variable (location).
Based on the given information, we have the following main effects and interactions:
1. Main effect of location: This means that the location (island vs. mainland) has an independent effect on cone sizes. It suggests that there is a difference in cone sizes between the two locations.
2. Main effect of squirrels: This means that the presence or absence of squirrels has an independent effect on cone sizes. It suggests that the presence of squirrels may influence cone sizes.
3. Interaction between squirrels and location: This means that the effect of squirrels on cone sizes depends on the location. In other words, the presence or absence of squirrels may have a different impact on cone sizes depending on whether the trees are on an island or the mainland.
Among the given interaction plots, Plot D is consistent with these main effects and interactions. It shows that the effect of squirrels on cone sizes differs between the island and mainland locations, indicating an interaction between squirrels and location.
Therefore, Plot D is the interaction plot that aligns with the combination of main effects and interactions described in the question.
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const erit to miguel be dibiv art sis IW You deposit $3,000 in a
savings account at 6% interest. If the interest is compounded:
001 = dipnel .02 = thbiW ISVenA Yearly: Answer: $5,372.54
After one year of compounding at a 6% interest rate, you would have approximately $3,180 in your savings account.
To calculate the amount of money you will have in the savings account after one year with compound interest, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the annual interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the number of years
Let's solve it step by step:
Given:
P = $3,000 (principal amount)
r = 6% = 0.06 (annual interest rate as a decimal)
n = 1 (compounded annually)
t = 1 (one year)
Using the formula:
A = 3000 * (1 + 0.06/1)^(1*1)
A = 3000 * (1 + 0.06)^1
A = 3000 * (1.06)^1
A ≈ $3180
So, after one year of compounding at a 6% interest rate, you would have approximately $3,180 in your savings account.
It seems there was a discrepancy in the answer provided. Based on the given information, the correct calculation yields $3,180, not $5,372.54.
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Write equations for the horizontal and vertical lines passing through the point (5,2).
The required equation of the vertical line is x=5 and the horizontal line is y=2 when passing through the point (5,2).
What is equation?A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept. A linear equation has the algebraic form y=mx+b, where m and b are constants, x is the independent variable, and y is the dependent variable. A linear equation is stated in statistical terms as y=a+bx, where a and b are constants. The equation of a two-dimensional line is ax+by=c; it is fair to predict that the equation of a three-dimensional line is ax+by+cz=d; reasonable, but incorrect—it turns out that this is the equation of a plane.
Here,
As the coordinate is (5,2),
The vertical line is x=5
The horizontal line is y=2
When passing through the point (5,2), the vertical line's required equation is x=5, and the horizontal line's required equation is y=2.
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Use identities to express the following in terms of sine and cose and then simplify your answer.
tan/sec
\(\cfrac{tan(\theta )}{sec(\theta )}\implies \cfrac{~~ \frac{sin(\theta ) }{cos(\theta ) } ~~}{\frac{1}{cos(\theta )}}\implies \cfrac{sin(\theta ) }{~~\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1}\implies sin(\theta )\)
25
A classrom contain children, out of which bare
girls, what percentage of the class are
boy
Answer:
76%
Step-by-step explanation:
number of girls is 6
number of boys is 25-6=19
percentage of boys = number of boys ÷ total no of students * 100
so... (19÷25)*100=76%
In Problems 1 through 16, transform the given differential equation or system into an equivalent system of first-order differential equations.x(3)−2x′′+x′=1+tet.
The equivalent system of first-order differential equations for the given problem is: 1. dv1/dt = v2 2. dv2/dt = v3 3. dv3/dt = 2v2 - v1 + 1 + t*e ^t
Given differential equation: x''' - 2x'' + x' = 1 + t*e ^t
Step 1: Define new variables.
Let's introduce new variables:
v1 = x'
v2 = v1'
v3 = v2'
Now we have:
v1 = x'
v2 = v1'
v3 = v2'
Step 2: Rewrite the given equation using new variables.
Substitute the new variables into the given differential equation:
v3 - 2v2 + v1 = 1 + t*e ^t
Step 3: Write the equivalent system of first-order differential equations.
Now we have the following equivalent system of first-order differential equations:
dv1/dt = v2
dv2/dt = v3
dv3/dt = 2v2 - v1 + 1 + t*e ^t
So, the equivalent system of first-order differential equations for the given problem is:
1. dv1/dt = v2
2. dv2/dt = v3
3. dv3/dt = 2v2 - v1 + 1 + t*e ^t
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While on vcacation, kevin and his family visit mount rushmore in south dakota. They watcha movie in the vistor center for 1/2 of an hour. This accounta for 1/4 og the toatl time the spend at mount rushmore. What equation can you use to find the total amount of time t kevin's family spends at mount rushmore
Answer:
t = 1/2 ÷ 1/4
t = 2 hours
Step-by-step explanation:
Time spent watching movies = 1/2 of an hour
This accounts for 1/4 of the total time thei spend at mount rushmore.
1/2 = 1/4t
Where t = total time they spent at mount rushmore (hours)
1/2 = 1/4t
Determine the equation to find t
t = 1/2 ÷ 1/4
= 1/2 × 4/1
= 4 / 2
= 2
t = 2 hours
Please I need help quick my homework is due in 20 mins thanks!!
R, S, T and U are points on the circumference of a circle, centre O.
The angle RUS is 46° and the angle URT is 36°
R
36%
46°
U
Calculate the angle RTS.
(1 mark)
T
The angle RST of the arc will be equal to 46°.
What is an arc of the circle?A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be drawn by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.
Given that the angle RUS is 46 and the angle URT is 36.
The angle RST has the same arc that is made by the angle RUS. From that theorem, we can conclude that the angle RUS will be equal to the angle RST.
∠RUS = ∠RST
∠RST = 46°
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Find the missing length indicated.
Answer:
I think the answer is 8 you should search it up to make sure
Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that is approximately normal, with mean μ = 7500 and estimated standard deviation σ = 1750. A test result of x < 3500 is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection. (a) What is the probability that, on a single test, x is less than 3500? (b) Suppose a doctor uses the average x(sample mean) for two tests taken about a week apart. What can we say about the probability distribution of x(sample mean)? What is the probability distribution of x(sample mean) < 3500? (c) Repeat part (b) for n = 3 tests taken a week apart. (d) Compare your answers to parts (a), (b), and (c). How did the probabilities change as n increased? The probabilities increased as n increased. If a person had x ( sample mean)< 3500 based on three tests, what conclusion would draw as a doctor or nurse?
The sample size increases, the probability of obtaining a sample mean less than 3500 decreases. The mean of the sample mean distribution is equal to the population mean, which is 7500.
a) The probability that, on a single test, x is less than 3500 can be calculated using the standard normal distribution. We need to standardize the value using the z-score formula: z = (x - μ) / σ. Substituting the given values, we get z = (3500 - 7500) / 1750 ≈ -2.286.
Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -2.286. The probability is approximately 0.0116, or 1.16%. Therefore, there is a 1.16% chance that a single test result will be less than 3500, indicating leukopenia.
(b) When the doctor uses the average x (sample mean) for two tests taken about a week apart, the probability distribution of x (sample mean) follows a normal distribution. The mean of the sample mean distribution is equal to the population mean, which is 7500. The standard deviation of the sample mean distribution is equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 2.
The probability distribution of x (sample mean) < 3500 can be calculated by standardizing the value using the z-score formula and then finding the corresponding probability from the standard normal distribution table or a calculator. With two tests, the probability distribution will be narrower compared to a single test. The exact probability depends on the specific value of the sample mean and the standard deviation of the sample mean distribution.
(c) When considering three tests taken a week apart, the process is similar to part (b). The mean of the sample mean distribution remains the same at 7500, but the standard deviation of the sample mean distribution is now divided by the square root of 3, since the sample size is 3. As the sample size increases, the standard deviation of the sample mean distribution decreases, resulting in a narrower distribution.
The probability distribution of x (sample mean) < 3500 can be calculated using the z-score formula and finding the corresponding probability from the standard normal distribution table or a calculator. With three tests, the probability distribution will be even narrower compared to two tests.
In summary, as the sample size increases, the probability of obtaining a sample mean less than 3500 decreases. With more tests, we can have greater confidence in the accuracy of the sample mean and draw stronger conclusions about the individual's condition. If a person had a sample mean less than 3500 based on three tests, it would indicate a higher level of certainty about the presence of leukopenia, potentially leading to further investigation or treatment options.
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What is the function of the “whiskers” in a box and whisker plot?
A
They represent the interquartile range.
B
They link the interquartile range to the minimum and maximum.
C
They compare the lower quartile to the upper quartile.
D
They compare the median to the interquartile range.
Answer:
the answer should be c
Step-by-step explanation:
A Box and Whisker Plot (or Box Plot) is a convenient way of visually displaying the data distribution through their quartiles. The lines extending parallel from the boxes are known as the “whiskers”, which are used to indicate variability outside the upper and lower quartiles
Whiskers function in a box and whisker plot represent the interquartile range. Therefore, option A is the correct answer.
What is a box-and-whisker plot?A special kind of graph called a box and whisker plot is used to display the distribution of groupings of numerical data. It displays the median—the average value of the numbers in your data—as well as the lowest and greatest values as well as the quartiles, which divide the data into four equally-sized groups.
The whiskers are the two lines that extend outside the box and run from the minimum to the lower quartile (the box's beginning) and from the higher quartile (the box's end) to the maximum value.
Therefore, option A is the correct answer.
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What is the sum? nine-fourths + left-parenthesis negative one-fifth right-parenthesis A. start fraction 41 over 20 end fraction B. –start fraction 41 over 20 end fraction C. –one-third D. Start Fraction 8 over 20 End Fraction
5f+2h=100
Solve for F
Solving for the variable gives f = 100 - 2h/5
What is subject of formula?Subject of formula can be defined as the variable that is expressed in terms of other variables in a given expression, function of equation.
It is the variable worked out in an equation and left to stand on its own on one side of the equality sign
Given the equation;
5f+2h = 100
To make 'f' the subject of formula, we take the following steps;
Take '2' over the equality sign
5f = 100 - 2h
Now, let's make 'f' the subject by dividing both sides by its coefficient which is 5
We have;
5f/5 = 100 - 2h/5
Divide through
f = 100 - 2h/5
Thus, solving for the variable gives f = 100 - 2h/5
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Slope is - 1/2 and (-3, 2) is on the line.
Answer:
y= -1/2x + 1/2
Step-by-step explanation:
First, use the point-slope formula: y-y1 = m(x-x1)
y-2 = -1/2(x-(-3))
y-2= -1/2x + -1.5
(subtract 2 from both sides)
y = -1/2x + 1/2
Can Some one help PLEASEE
The variable x is 9 and the two adjacent angles have measures of 117° and 63°, respectively.
How to find the variable associated to the measure of two angles in a parallelogram
Parallelograms are quadrilaterals with two pairs of parallel sides of equal length. According to Euclidean geometry, the measures of two adjacent angles in a parallelogram are supplementary. Thus,
13 · x + 7 · x = 180°
Now we clear the variable x:
20 · x = 180°
x = 9
And the missing angles are:
13 · 9 = 117°
7 · 9 = 63°
The value of the variable x is 9 and the measures of the two adjacent angles are 117° and 63°, respectively.
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A is directly proportional to B when A = 12, B = 3 a) find a formula for A in terms of B b) find the value of A when B = 5 c) find the value of B when A = 36
Answer:
a) A = kB
b) 20
c) 9
Step-by-step explanation:
A is directly proportional to B when A = 12, B = 3
a) find a formula for A in terms of B
A ∝ B
A = kB
Where k is constant of proportionality
when A = 12, B = 3
12 = 3k
k = 12/3
k = 4
b) find the value of A when B = 5
A = kB
k = 4
A = 4 × 5
A = 20
c) find the value of B when A = 36
k = 4
A = kB
B = A/k
B = 36/4
B = 9
Using a cutoff value of 0.5 to classify a profile observation as interested or not, construct the confusion matrix for this 40-observation training set.
Since the training set consists of 40 observations, you would need to fill in the counts for each category based on the actual classifications made by the model using the 0.5 cutoff value.
To construct the confusion matrix for a 40-observation training set, we need to use a cutoff value of 0.5 to classify each profile observation as either interested or not interested. The confusion matrix is a tool that shows the performance of a classification model.
Let's denote the four possible outcomes as follows:
- True Positive (TP): The model correctly classified an observation as interested.
- True Negative (TN): The model correctly classified an observation as not interested.
- False Positive (FP): The model incorrectly classified an observation as interested when it was actually not interested.
- False Negative (FN): The model incorrectly classified an observation as not interested when it was actually interested.
Since we have a cutoff value of 0.5, any observation with a prediction score above or equal to 0.5 will be classified as interested, while any observation with a prediction score below 0.5 will be classified as not interested.
Based on this information, we can construct the confusion matrix:
Predicted Interested Predicted Not Interested
Actually Interested TP FN
Actually Not Interested FP TN
Note that the values TP, TN, FP, and FN are counts of observations falling into each category.
In your case, since the training set consists of 40 observations, you would need to fill in the counts for each category based on the actual classifications made by the model using the 0.5 cutoff value.
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Katy and her sister started watching a cartoon movie at 11:00 A.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 1 hour and 45 minutes. What time was it when Katy and her sister finished playing soccer?
Reward:Brainliest
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answer:
15:00 PM and 3:00 PM ,they mean the same exact thing
Step-by-step explanation:
Stacy spent £12 on ingredients for bread.
She made 18 loaves and sold them for £1.10 each.
Calculate her percentage profit.
Answer:
39.4 or 40 % depending on which place you round it to
Step-by-step explanation:
18 * 1.10= 19.8
(19.8 - 12) / 19.8 = 0.39393939...
so 39.4 or 40 % depending on which place you round it to
PLZzzz helllpppp!!!
The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 72 miles due north of the warehouse.
Coordinate grid shown from negative 54 to positive 54 on x axis at intervals of 9 and negative 54 to positive 54 on y axis at intervals of 9. A straight line is shown between the points labeled Airport and Warehouse. Airport is the ordered pair negative 27, 36, and Warehouse is the ordered pair 27 and negative 36. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph.
A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled? (5 points)
54 miles
72 miles
144 miles
162 miles
Answer:
144 miles
Step-by-step explanation:
What is the surface area of the shape?
Math problem. If answered correct will give brainliest
Please answer :)
Answer:
Step-by-step explanation:
45n = (9 x 25) + 4 + (2x4)
45n = 225 + 4 + 8
45n/45 = 237/45
n = 5.26666...7
exactly 5.26666...7 buses would be needed.
realistically 6 buses are needed, as you cannot have part of a bus operating like a normal one
the exact answer can be classified as a rational number as it can represent a fraction.
It is given that A⃗ −B⃗ =(−51.4m)x^,C⃗ =(62.2m)x^, and A⃗ +B⃗ +C⃗ =(13.8m)x^.
Find the vector A⃗ . Find the vector B⃗ .
The vector A is (49.9m) x and vector B is (1.5m) x.
In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.
Find the vector A. Find the vector B.
We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).
A − B = −51.4.............................(1)
C = 62.2.............................(2)
A + B + C = 13.8.............................(3)
Now putting the value of C from Equation (2) in Equation (3)
A + B + C = 13.8
A + B + 62.2 = 13.8
Subtract 62.2 on both side, we get
A + B = 13.8 - 62.2
A + B = - 48.4.....................(4)
Adding the equation (1) and (4), we get
2A = - 99.8
Divide by 2 on both side, we get
A = - 49.9
Now subtracting the equation (1) and (4), we get
2B = -48.4 - ( -51.4)
2B = 3
Divide by 2 on both side, we get
B = 1.5
Since all of the calculations are done in terms of the unit vector x.
So the answer is vector B = (1.5m) x and vector A = (49.9m) x.
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450000000000 in standard form
Answer:
4.5 * 107
Step-by-step explanation:
Plz I need help with this question
Gary had a 40% discount for new tires. The sale price of a tire was $96.25. What was the original price of the tire? Round to the nearest cent
Answer:
Step-by-step explanation:
If the price after the discount is subtracted is $96.25 then this is what you do
u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75
but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25
The original price of the tire that Gary would have paid had it not been for the discount is $160.42
Gary spent $96.25 on a new tire but this tire had been discounted by 40%.
This means that $96.25 is the result of the original price being reduced by 40%. Assuming that original price is x, the relevant expression would be:
x - (x × 40%) = 96.25
x - 0.4x = 96.25
0.6x = 96.25
x = 96.25 / 0.6
x = $160.42
In conclusion, the original price was $160.42.
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