Answer:
obtuse angle
allied angles
acute angle
allied angle
corresponding angles
this morning james had half as much money as his brother and 27 dollars less than his sister. then his brother paid james and his sister each 12 dollars to wash his car. after the payoff, james's sister has twice as much money as james's brother. how much money does james have now?
James has $37.67 now after all his expenses
James had $x, his brother had $y, and his sister had $z when the morning began.
By using algebra,
James's sibling had twice as much money as James.
Now, x =y/2..... (i)
James had $27 fewer dollars than his sister did.
So, x = z - 27 ........ (ii)
⇒ {From equation (1)}
⇒ y/2 = z -27
⇒ y = 2z - 54
⇒ 2z - y =54 ..........(3)
Now, James and his sister each received $12 from his brother.
James now has $(x + 12), his brother now has $(y -24), and his sister now has $(z + 12).
Given that James' sister has twice as much money as James' brother after payoff,
So, z+12/2 = y-24
⇒ z + 12 = 2y - 48
⇒ 2y - z = 50 ......... (4)
The result of resolving equations (3) and (4) is
3y = 54 + 100 = 154
⇒ y = 51.33.
The result of equation (3) is now z = 52.67.
And from equation (1), x = 51.3/2= 25.67
So, now, James has (25.67 + 12) = $37.67
Hence, James has $37.67 now after all his expenses
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You and two friends are splitting a pizza. You take`\frac{1}{3}`of the pizza. How much of the pizza is left?
Answer:
2/3 pizza is left!
Step-by-step explanation:
You take 1/3 from a whole pizza (3/3), leaving 2/3 for ur 2 buddies :D
Three dice are thrown simultaneously, the probability that sum being 3 is * (2 Points) \( 3 / 215 \) \( -12^{2} \)
The probability of getting 3 is P(A) = 1/216. The probability that sum being 3 is 1 / 216.
When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. A dice can show a minimum of one and a maximum of six dots, for a total of six sides, giving it a total of 6 * 6 * 6 = 216 possible outcomes.
:When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. The probability can be calculated as follows:
Let A be the event that the sum is 3. The number of ways to get 3 is 1, i.e., (1, 1, 1). The total number of possible outcomes is 6³,
since each die can have 6 possible outcomes.
Therefore, the probability of getting 3 is P(A) = 1/216.
In conclusion, the probability that sum being 3 is 1 / 216.
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4(3 to the third power-7)divided by 10
Answer:27
Step-by-step explanation:i really don't know i just want points
Jason's square bedroom has an area of 112 square feet. The length of one
of his room is between what two whole numbers?
Multiplying Radicals.
Using your knowledge of the Triangle inequality theorem, find the value for x
write the equation of the line that is parallel to Y=2/3 X -7 and passes through the point (-3,1)
Answer:
y=2/3x+3
Step-by-step explanation:
parallel means it stays the same so its still 2/3
now use the equation y=mx+b
plug in the slope which is 2/3
so we get y=2/3x+b
then plug in the 2 points
1= 2/3(−3)+b
1=-6/3+b
1=-2+b
add 2 to 1 and -2
3=b
so we get y=2/3x+3
Can you help me with this?
16. The equatiοn οf the line in slοpe-intercept fοrm that passes thrοugh the pοint (-6, 5) and is parallel tο x + 2y = 14 is y = (-1/2)x + 2.
What is equatiοn οf line?The equatiοn οf a straight line is y = mx + c, y = m x + c m is the gradient and c is the height at which the line crοsses the y -axis, alsο knοwn as the y -intercept.
16. Tο write the equatiοn οf a line in slοpe-intercept fοrm, we need tο find the slοpe and the y-intercept οf the line.
Tο find the slοpe οf the line, we can rewrite the equatiοn x + 2y = 14 in slοpe-intercept fοrm y = mx + b by sοlving fοr y:
x + 2y = 14
2y = -x + 14
y = (-1/2)x + 7
The slοpe οf the line is -1/2.
Since the line we want tο find is parallel tο this line, it will have the same slοpe οf -1/2.
Nοw we can use the pοint-slοpe fοrm οf the equatiοn οf a line tο find the equatiοn οf the line that passes thrοugh the pοint (-6, 5) with a slοpe οf -1/2:
y - y1 = m(x - x1)
where (x1, y1) is the pοint (-6, 5), and m is the slοpe, -1/2.
y - 5 = (-1/2)(x - (-6))
y - 5 = (-1/2)x - 3
y = (-1/2)x + 2
17. The equation perpendicular to y = -(2/3)x + 4, passing through (-4, 6)
perpendicular equations slope would be negative reciprocal to the current line.
The slope in y = -(2/3)x + 4, is m = -(2/3),
The negative reciprocal of -(2/3) is 3/2
Now, applying the x and y values in pοint-slοpe fοrm
y - 6 = 3/2(x - (-4))
y = 3/2(x+4) + 6
y = (3/2)x + 6 + 6
y = (3/2)x + 12
18. Since the line we want tο find is parallel tο this line, it will have the same slοpe.
Lets find the slope using slope formula
\(\rm m = \dfrac{y_2 - y_1}{x_2 - x_1}\)
\(\rm m = \dfrac{0 - (-1)}{2 - (-1)}\)
\(\rm m = \dfrac{1}{3}\)
Now, using the point slope form
y - 1 = 1/3(x - 3)
y = 1/3(x - 3) + 1
y = (1/3)x - 1 + 1
y = (1/3)x
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not every linearly independent set in set of real numbers r superscript ℝn is an orthogonal set. T/F?
The given statement is true.
Consider linearly independent vectors of \(R_{n}\)
Where n = 2
\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)
\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)
Now product of these vectors
UV = 4x5 + 2x6
= 32
Hence these vectors are not orthogonal.
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Solve each compound inequality -10-2v<6and6v+12<-6
Answer:
v>-8 ; v<−3
Step-by-step explanation:
−10−2v<6
Step 1: Simplify both sides of the inequality.
−2v−10<6
Step 2: Add 10 to both sides.
−2v−10+10<6+10
−2v<16
Step 3: Divide both sides by -2.
−2v/−2 < 16/−2
v>−8
6v+12<−6
Step 1: Subtract 12 from both sides.
6v+12−12<−6−12
6v<−18
Step 2: Divide both sides by 6.
6v
6
<
−18
6
v<−3
The first picture I sent ( the one which is from -8 to 14) is for −10−2v<6 and the second one (that has -3 to -9) is for 6v+12<−6
I hope this helped :)
A colony of spiders has a population of 350. The population is decreasing at a rate of 3% per year. Write an exponential decay function for the quarterly decay rate. What does the y-intercept of its graph mean in this context? Round values to the nearest thousandth. function:__________
The y-intercept is the_________
at time________
Step-by-step explanation:
350 decreasing at 3% per year
the function is
y = mx + c
m is the gradiant (change)
c is the y-intercept (when x = 0)
first m
it is decreasing by 3 %
3% as a decimal = 0.03
m = -0.03
c is
at the start
we start with 350
c = 350
put back into the equation
y = ?x + ?
put answer in comments i will mark
please mark brainest
HELPPPPPPPP PLEASEEEEEEE!!!!!!!
Answer:
false
Step-by-step explanation:
it's false negative
a scoop of ice cream has a -centimeter radius and is served in a cone of the same radius. the scoop of ice cream is a sphere. how tall does the cone need to be in order to contain all of the ice cream if it completely melts?
The height of the cone needs to be 4 times the radius in order to contain all of the melted ice creams.
The volume of a sphere with a radius of r is given by the formula:
V = (4/3) × π × r^3
The volume of a cone with height h and base radius r is given by the formula:
V = (1/3) × π × r^2 × h
Since the scoop of ice cream has the same radius as the cone, we can set the two volumes equal to each other and solve for h:
(4/3) × π × r^3 = (1/3) × π × r^2 × h
Multiplying both sides by (3/4) gives:
π × r^3 = (1/4) × π × r^2 × h
Dividing both sides by π × r^2 gives:
r = (1/4) × h
So, the height of the cone needs to be 4 times the radius in order to contain all of the melted ice creams.
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Determine whether the function is even, odd, or neither even nor odd. f(x)=5x^(3)-2x^(5) Find f(-x) f(-x)
The function f(x) = 5x^3 - 2x^5 is an odd function because f(-x) = -5x^3 + 2x^5, and it exhibits symmetry with respect to the origin.
To determine whether the function is even, odd, or neither, we need to evaluate f(-x) and compare it to the original function f(x).
Let's calculate f(-x) by substituting -x into the function:
f(-x) = 5(-x)^3 - 2(-x)^5
= -5x^3 - 2(-x)^5
= -5x^3 - 2(-x^5)
= -5x^3 + 2x^5
Comparing f(-x) = -5x^3 + 2x^5 to f(x) = 5x^3 - 2x^5, we can see that the signs of the terms are opposite. This indicates that the function f(x) is an odd function.
An odd function is symmetric with respect to the origin, which means that its graph is unchanged when reflected across the y-axis. In other words, if (x, y) is a point on the graph of an odd function, then (-x, -y) is also a point on the graph.
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give me the most DETAILED explanation.
6 + 6 - 6 x 6 ÷ 6 = ?
In Mrs. Elliot's garden, one eighths of the flowers are red, one fourth of them are purple, and one fifth of the remaining flowers are pink. If there are 128 flowers, how many flours are pink?
Therefore , the solution of the given problem of unitary comes out to be Mrs. Elliot's garden has 16 pink flowers.
What is an unitary technique?The task can be completed by applying whatever was learned, utilising this variable method, and combining all pertinent information from two people who used a specific tactic. That is, if the desired expression result materialises, either the entity stated in the formulation will also be found, or both essential processes will genuinely disregard the colour. For fifty pens, a refundable charge of Rupees ($1.21) might be required.
Here,
We're trying to determine what percentage of them are not pink.
=> 1 - 1/5 = 4/5 is the percentage of blossoms that are not pink.
As a result,
=> 1/8 + 1/4 = 3/8 of flowers are either scarlet or purple.
To determine how many flowers are either red or purple, we can set up a proportion:
=> (3/8) * 128 = 48
There are thus 48 flowers, each of which is either scarlet or purple. That means there are 80 possible pink flowers, or 128 - 48 = 80 blossoms that are neither red nor purple.
Finally, we can calculate the quantity of pink flowers by using the fact that one-fifth of the remaining flowers are pink:
=> (1/5) * 80 = 16
Therefore, Mrs. Elliot's garden has 16 pink flowers.
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PLEASE HELP 20 POINTS !! WELL WRITTEN ANSWERS ONLY!!!
Below is a dot plot of the sample mean body temperature for 100 different random samples of size 10 from a population where the mean temperature is 98.6 degrees.
3. How many of the samples had sample means that were greater than 98.5 degrees and less than 98.7 degrees?
4. Based on the dot plot above, if you were to take a different random sample from the population, would you be surprised if you got a sample mean of 98.8 or greater? Explain why or why not.
The number of samples that were greater than 98.5 degrees and less than 98.7 degrees is 25.
We have,
3.
The number of samples that were greater than 98.5 degrees and less than 98.7 degrees.
= 25
We add up all the dots above the numbers between 98.5 and 98.7.
We will not include the dots above 98.5 and 98.7.
4.
The dot plot of the sample mean body temperature for 100 different random samples of size 10 from a population with a mean temperature of 98.6 degrees shows that the majority of the sample means are close to 98.6, and there are very few samples means that exceed 98.6, then it would be surprising to obtain a sample mean of 98.8 or greater from a different random sample.
Thus,
The number of samples that were greater than 98.5 degrees and less than 98.7 degrees is 25.
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pls answer this ( both parts)
Answer:
Yes, It is
Step-by-step explanation:
0.005
Divide the numerator by the denominator, to find the answer
a sample survey interviews an srs of 209 college women. suppose that 69% of all college women have been on a diet within the last 12 months. what is the probability that 72% or more of the women in the sample have been on a diet? report your answer using 4 decimal places.
The probability that 72% or more of the women in the sample have been on a diet is, 0.1736.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
As given a sample survey interviews an SRS of 209 college women. suppose that 69% of all college women have been on a diet within the last 12 months.
p = 0.69
1 - p = 0.31
n = 209
μp = p = 0.69
σp = √(p(1-p))/n = √(0.69*0.31)/209 = 0.03199
= 1 - p(p < 0.72)
= 1 - p((p - μp) / σp < (0.72 - 0.69) / 0.03199)
= 1 - p(z < 0.94)
= 1 - 0.8264
= 0.1736
Hence, the probability is 0.1736.
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Using the following diagram, select a pair of angles that are vertical angles.
Answer:
angles 5 and 8
Step-by-step explanation:
They are across from each other while sharing the same end point. I hope this helps!
Translate the sentence into an equation.
Two more than the quotient of a number and 9 is equal to 8.
Answer:
it would be (9/n )+ 2 = 8
Step-by-step explanation:
I hope this is right :)))
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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Suppose a floating point number: 010000001100000000… What is its decimal value? (don't enter fractions; enter decimal values. E.g., for 1/4 type .25) Question 7 Suppose a floating point number: 010000010110100000… What is its decimal value? (don't enter fractions; encer clecimal walues. E.g., for 1 and 1/4 type 1.25) Question 8 Convert the following float to decimal: 110000001111110…….…
The decimal value of the floating-point number 110000001111110... is approximately -0.000000015935.
A 32-bit binary number is the floating-point number 010000010110100000... We must interpret its components in accordance with the IEEE 754 standard for single-precision floating-point representation before we can convert it to decimal.
The number's sign is represented by the first bit, which is 0. The number is positive because it is zero.
The exponent is represented by the next eight bits, 10000010 The bias value, which is 127 for single-precision, needs to be subtracted in order to determine the exponent's decimal value. As a result, the value of the exponent is -25: 10000010 - 127.
The binary fractional part is represented by the remaining 23 bits, which are 110100000... Summing the series of 2(-i) for each bit I that is set to 1, we convert the fractional part to a decimal fraction for the purpose of determining its decimal value. The series is as follows, starting with the leftmost bit:
The decimal value of the floating-point number is then calculated as follows: 1/2 + 1/8 + 1/16 + 1/32 = 0.53125.
The floating-point number 010000010110100000... has a decimal value of approximately 0.0000000938776, which is equal to (-1)0 * 1.53125 * 2(-25).
8th Question: The 32-bit binary number 110000001111110... is a floating-point number. Using the same procedure as before:
The number's sign is represented by the first bit, which is 1. The number is negative because it is 1.
The exponent is represented by the next eight bits, 10000011 We get the exponent value of 10000011 - 127 = -24 when we subtract the bias value of 127.
In binary, the fractional part of the number is represented by the remaining 23 bits, which are 111110... Switching it over completely to a decimal division gives us the series:
1/2 plus 1/4 plus 1/8 plus 1/16 plus 1/32 equals 0.96875, so the floating-point number's decimal value is as follows:
The floating-point number 110000001111110... has a decimal value of (-1)1 x 1.96875 x 2 (-24), which is approximately -0.000000015935003662109375.
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Find matrix M such that M × [3 -2 , 6 -8 ] = [-2 16]
The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]
Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16]. We know that the product of two matrices is equal to the sum of the products of their corresponding elements. We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.
a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...
(4)Simplifying equations (1) to (4), we get:
3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)
Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.
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pls help it's due in an hour
Answer: A or B is your best choice
Step-by-step explanation: the last 2 are not correct because they were not real numbers stated in the question it's talking about negative numbers for X.
Answer:
Step-by-step explanation:
Let's see. The last two options don't make a whole lot of sense. The range of the graph is not all real numbers because you don't see y coordinates of the graph that are negative. The domain and range are not the same because the domain is mostly negative numbers whereas the range is just mostly positive numbers. The first option, The range of the graph is all real numbers less than or equal to 0, does not make sense because if it was less than zero, values like -5 or -100 would exist for the y coordinates. However, in this case, you can see that all of the y coordinates are positive.
Therefore, the answer is "The domain of the graph is all real numbers less than or equal to 0" or the second option.
Explain why if a symmetric matrix is diagonalizable then we can find an eigenbasis consisting entirely of orthonormal vectors.
If a symmetric matrix can be inverted into a diagonal matrix using another matrix, then it is diagonalizable. Accordingly, it may be said that there is a matrix P that can be inverted such that P-1 * A * P = D, where D is a diagonal matrix and A is the symmetric matrix. The diagonal entries of D are the appropriate eigenvalues, while the columns of P are the eigenvectors of A.
The matrix P is the foundation of the vector space because its columns are linearly independent and it is invertible. The inner product of any two different eigenvectors is 0, as A's eigenvectors are orthogonal to one another due to its symmetry.
We can divide each eigenvector by its norm to get an orthonormal basis from this collection of eigenvectors. As a result, a group of eigenvectors that are orthonormal to one another and serve as the vector space's orthonormal basis are produced.
Therefore, A symmetric matrix is diagonalizable and has an orthonormal eigen basis consisting of orthonormal eigenvectors, which can be obtained by dividing each eigenvector by its norm.
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answer plz?!?! and explanation plz!?!?
Answer:
98.1747704in^3
Step-by-step explanation:
See my comment below:
is the following a probability model? what do we call the outcome "red"?
The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.
A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).
Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.
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What is the area of the triangle?
2 m
4 m
3 m
square meters
first
Semi perimeter (S)=(2+4+3)/2
=9/2=4.5
now
area=
\( \sqrt{4.5(4.5 \times 2)(4.5 \times 4)(4.5 \times 3)} \)
\( \sqrt{s( s- a)( s-b )( s- c)} \)
which is equal to
99.20
What is the fractional equivalent of the repeating decimal n = 0.1515... ? answer the questions to find out. 1. how many repeating digits does the number represented by n have? (2 points)
The fractional equivalent of the repeating decimal would be 15/99 and 0.1515 ... is a repeating decimal so it does n't end , but in the shown number is 4 digits .
The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions. For instance, since 2/4 and 3/6 both equal the 12, they are identical fractions. An element of a whole is a fraction.
Multiply a fraction's numerator and denominator by the same number of digits. You won't alter the value of the fraction and will produce an identical fraction if you multiply the top and bottom of the fraction by the same number.
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