Answer:
Let's verify is the corresponding sides have same ratio:
ΔABC, sides: 6, 9, 11ΔXYZ, sides: 21, 31.5, 38.5Ratios:
6/21 = 2/7 (divide by 3)9/31.5 = 2/ 7 (divide by 4.5)11/38.5 = 2/7 (divide by 5.5)The ratios are same, so the triangles are similar
Yes, the sides are all proportionalThe scale factor (ΔABC to ΔXYZ) is 2/7 (or ΔXYZ to ΔABC is 7/2 = 3.5)
a correlation score of 0.75 between two variables such as symptoms of anxiety and symptoms of depression indicates what kind of relationship between these variables?
A correlation score of 0.75 between two variables such as symptoms of anxiety and symptoms of depression indicates a strong positive relationship between these variables.
This means that as the level of symptoms of anxiety increase, there is a high likelihood that the level of symptoms of depression will also increase. Conversely, as the level of symptoms of anxiety decreases, the level of symptoms of depression is likely to decrease as well.
It's important to note that correlation does not imply causation, meaning that just because there is a strong positive correlation between two variables, it doesn't necessarily mean that one variable causes the other. Further research would be needed to establish any causal relationship between symptoms of anxiety and symptoms of depression.
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8 - 1/3x = 16 ??
help
Answer:
x = -24
Step-by-step explanation:
Calculated Steps in IMAGE Attached
Answer:
-24
Step-by-step explanation:
Write the expression in standard form a+bi: (8-i)/(2+i)
Answer:
The expression (8-i)/(2+i) in standard form is, 3 - 2i
Step-by-step explanation:
The expression is,
(8-i)/(2+i)
writing in standard form,
\((8-i)/(2+i)\\\)
Multiplying and dividing by 2+i,
\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)
Hence we get, in standard form, 3 - 2i
The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).
To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.
The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:
(8-i)/(2+i) * (2-i)/(2-i)
Using the distributive property, we can expand the numerator and denominator:
(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))
Simplifying further:
(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)
Since i^2 is equal to -1, we can substitute -1 for i^2:
(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))
Combining like terms:
(15 - 10i) / (3 + 4i)
Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).
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Bob's Gift Shop sold 400 cards for Mother's Day. One salesman, Jai, sold 10% of the cards sold for Mother's Day. How many cards did Jai sell?
Answer:
Jai sold 40 cards on mother's day
Eli is now one quarter of his father’s age. In 5 years’ time his age will be one third of
his father’s age. How old is Eli now?
Answer:
10
Step-by-step explanation:
This is because 10×4=40
10+5=15
40+5=45
45/15=3
Answer:
Step-by-step explanation:
Let E and F represent Eli and his Father's current ages.
We are told that E = (1/4)F. ["Eli is now one quarter of his father’s age"]
But in 5 years, that will be:
(E+5) = (1/3)(F+5) ["In 5 years’ time his age will be one third of
his father’s age"]
-------------
We have two equations and two unknowns. Find a way to eliminate one of the two variables and then solve for the remaining variable.
E = (1/4)F
(E+5) = (1/3)(F+5)
It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:
(E+5) = (1/3)(F+5)
((1/4)F+5) = (1/3)(F+5)
(1/4)F - (1/3)F = (1/3)*5 - 5
F - (4/3)F = (4/3)*5 - 20
-(1/3)F = (20/3) - (60/3)
-(1/3)F = (-40/3)
F = (120/3)
F = 40 years
E = 10 years (based on E = (1/4)F)
====
In five years: F is 45 and E is 15, which would make Eli 1/3 of his father's age in 5 years.
Select the expression that is equivalent to x + x + y × y × y. Question options: 2x + 3y x2 + 3y x2 + y3 2x + y3
Answer:
D) 2x + y³---------------------
Adding same values results in multiplication.
Multiplication of same values results in exponents.
Find the equivalent expression with the given:
x + x + y × y × y = 2x + y³This is same as the last answer choice.
Collect Data from Our Solar System
Fill in the table. To obtain each planet's distance from the sun
Answer:
jupiter, Saturn, Uranus, neptune are all distance from sun
Step-by-step explanation:
Answer:
AU:
Merc-0.39
Venus-0.72
Earth- 1
Mars- 1.52
Jupiter - 5.20
Uranus - 19.1
Neptune - 30
Years:
Merc-0.24
Venus-0.61
Earth- 1
Mars- 1.88
Uranus - 84?(maybe)
Neptune - 165
Step-by-step explanation:
Edge
Somebody please help with these multi-step equation(s)
Answer:
h = -1
Step-by-step explanation:
-( 4+h) = 3h
Distribute the minus sign
-4 -h = 3h
Add 4 to each side
-4-h+h = 3h+h
-4 = 4h
Divide each side by 4
-4/4 = 4h/4
-1 = h
What is the surface area 1mm 5mm 6mm
Answer:
82 mm²
Step-by-step explanation:
You want to know the surface area of a rectangular prism with dimensions 1 mm, 5 mm, and 6 mm.
AreaThe surface area can be found using the formula ...
A = 2(LW +H(L +W))
A = 2(5·6 + 1(5 +6)) = 2(30 +11) = 82 . . . . . square mm
The surface area is 82 square millimeters.
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What's the answer please help me!
Answer:
0.62
Step-by-step explanation:
10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:
1st move: 620 -> 62.0
2nd move: 62.0 -> 6.20
3rd move: 6.20 -> 0.62
3.) Light travels at a speed of 1.25 x 107 miles per minute. Pluto's average distance from the
Sun is about 3,550,000,000 miles. On average, how long does it take sunlight to reach Pluto?
I have no idea whether those numbers are correct, and I'm not gonna bother looking them up.
But you gave us a speed and a distance, and you asked for a time.
We can just go ahead and use the formula: Time = (distance) / (speed) .
IF your numbers are true, then
Time = (distance) / (speed)
Time = (3.55 x 10⁹ mi) / (1.25 x 10⁷ mi/min)
Time = (3.55 x 10⁹ / 1.25 x 10⁷) minutes
Time = 2.84 x 10² minutes
Time = 284 minutes
Time = 4 hours 44 minutes
Can someone help me with this please?
Answer:
1548.66 feet
Step-by-step explanation:
We can draw a straight line down the middle to form two right triangles
This will split the 70 degree angle into two 35 degree angles
We now have two 90-35-55 right triangles
Now we can use cos(55) * the hypotenuse on both sides to get the distance across the lake
Thus we have:
1200cos(55 = 688.29
1500cos(55 = 860.36
Best of luck
The larger of two numbers is one more than four times the smaller number. If the sum of the numbers is 106, find the numbers.
a
32,56
b
32,74
c
21,85
d
52,54
Answer:
c. 21, 85
Step-by-step explanation:
Define the variables:
Let the two numbers be x and y, where x > y.
Given information:
The larger of two numbers is one more than four times the smaller number.The sum of the number is 106.Create two equations from the given information and defined variables:
\(\begin{cases}x = 4y + 1\\x + y = 106\end{cases}\)
Substitute Equation 1 into Equation 2 and solve for y:
\(\implies (4y+1)+y=106\)
\(\implies 4y+1+y=106\)
\(\implies 5y+1=106\)
\(\implies 5y+1-1=106-1\)
\(\implies 5y=105\)
\(\implies \dfrac{5y}{5}=\dfrac{105}{5}\)
\(\implies y=21\)
Substitute the found value of y into the second equation and solve for x:
\(\implies x+21=106\)
\(\implies x+21-21=106-21\)
\(\implies x=85\)
Therefore, the two numbers are 21 and 85.
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OMG I Hate math im so fing stressed rn if you understand any of the questions i asked can you please help me... ill give 100 points to anyone who will actually help me..
Answer:
dude where is the question???
Step-by-step explanation:
Answer:
What are the questions? I can try
Step-by-step explanation:
what is the answer ..........
Answer:
9
Step-by-step explanation:
area of a right angled triangle is half×base×height
Answer:
Area = 9
Step-by-step explanation:
The area of a triangle is 1/2 the base times the height:
A = 1/2bh
To solve, simply substitute the numbers:
A = 1/2(3)(6)
A = 1/2(18)
A = 9
write an equation for a function that has vertical asymptotes at x=3 & x=-10
Answer:
\( \frac{5}{ {x}^{2} + 7x - 30} \)
Step-by-step explanation:
We can write a rational function.
We need to make sure our denominator both have zeroes at 3 and 10.
Set an equation equal to zero to find the function
\(0 - x = 3\)
\(0 - x = - 10\)
\(0 - ( - 3) = = 3\)
\(0 - 10 = 10\)
So we would represent that's as
\(x - 3\)
and
\(x + 10\)
Multiply the two binomial together.
\((x - 3)(x + 10) = {x}^{2} + 7x - 30\)
Let our numbetator be any interger.
Use any equation as long as the quadratic is the denominator and the interger is the numerator.
\( \frac{5}{ {x}^{2} + 7x - 30 } \)
there are between 24-40 students in a class
the ratio of boys to girls are 4:7
how many students are in the class?
Answer:
33
Step-by-step explanation:
the ratio "parts" (4&7) total to 11 so the number of students must be a multiple of 11. 33 is the only multiple of 11 that falls between 24 and 40.
HOPE THIS HELPS!!!
The point (7,7) is a point on the terminal side of theta. What is the exact value of csc theta in simplest form?
\((\stackrel{a}{7}~~,~~\stackrel{b}{7})\qquad \impliedby \textit{let's find its \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{7^2+7^2}\implies c=\sqrt{7^2(1+1)}\implies c=\sqrt{7^2(2)}\implies c=7\sqrt{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{7\sqrt{2}}}{\underset{opposite}{7}}\implies csc(\theta )=\sqrt{2}\)
A -10 nC charge is located at (x, y) = (1.2 cm , 0 cm).
What is the x-component of the electric field at the position (x, y) = (−4.1cm, 0 cm)?Express your answer to two significant figures and include the appropriate units.
We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:
E = k * Q / r^2
where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.
In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).
To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.
So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:
E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)
where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.
Substituting the given values, we get:
E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2
E_x ≈ -30,566.04 N/C
Rounding this to two significant figures and including the appropriate units, we get:
The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).
Three students calculated the volume of a cylinder. Each used a different strategy.
Jada said, "I used the formula V = Bh."
Andre said, "I found the area of a circular cross section and multiplied it by the cylinder's height."
Han said, "I used the formula V = πr²h."
For each student, decide if you agree with their strategy. Explain your reasoning.
Answer:
All students are correct.
Step-by-step explanation:
The volume of a cylinder is the area of the base multiplied by the height.
First student:
V = Bh,
where B = area of the base
and h = height
This is a correct calculation of the volume.
Second student:
area of a circular cross section multiplied by the cylinder's height
Since the base has the same area as a circular cross section, this is correct.
Third student:
V = πr²h
πr² is the area of the base
This is also correct.
All students are correct.
what is the probability that in a particular crossing, there are total 10 pedestrian and they are all crossing from left to right?
The probability of having exactly 10 pedestrians crossing from left to right during a 2-minute period is extremely low, at approximately 0.00118%.
We can approach this problem by using the Poisson distribution, which describes the probability of a certain number of events occurring within a given time period, given a known rate of occurrence.
Let X be the number of pedestrians crossing from left to right during a 2-minute period. Since the arrival processes from the left and right sides are independent Poisson processes with rates λL and λR, respectively, we can model X as a Poisson random variable with rate λ = λL + λR = 6.
Therefore, the probability of having exactly k pedestrians crossing from left to right during a 2-minute period is given by the Poisson distribution:
P(X = k) = (e^(-λ) * λ^k) / k!
Now we want to find the probability that in a particular crossing, there are a total of 10 pedestrians crossing from left to right. Let Y be the total number of pedestrians crossing in both directions during a 2-minute period.
Since the arrival processes from the left and right sides are independent, we can model Y as a Poisson random variable with rate 2λ = 12.
Since we know that there are 10 pedestrians crossing from left to right, there must be a total of 10 pedestrians crossing in both directions. Therefore, we want to find the probability that out of the 10 pedestrians, exactly 10 of them are crossing from left to right.
We can use the binomial distribution to calculate this probability. Let Z be the number of pedestrians crossing from left to right out of the 10 pedestrians. Since each pedestrian has an independent probability of crossing from left to right of 1/2, we have:
P(Z = 10) = (10 choose 10) * (1/2)^10
= 1/1024
Therefore, the probability that in a particular crossing, there are a total of 10 pedestrians and they are all crossing from left to right is:
P(X = 10, Y = 10) = P(X = 10) * P(Z = 10)
= (e^(-6) * 6^10 / 10!) * (1/1024)
≈ 0.0000118
Writing this probability in percentage gives = 0.0000118 x 100% = 0.00118%
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Complete question is:
Pedestrians approach a crossing from the left and right sides following independent Poisson processes with average arrival rates of λL = 5 and λR = 1 arrivals per minute. Each pedestrian then waits until a light is flashed, at which time all waiting pedestrians must cross to the opposite side (either from left to right or from right to left). Assume that the left and right arrival processes are independent, that the light flashes every T = 2 minutes, and that crossing takes zero time – it is instantaneous.
1. What is the probability that in a particular crossing, there are total 10 pedestrian and they are all crossing from left to right?
A bag has 6 red marbles, 5 blue
marbles, 7 green marbles, 2 white
marbles, and 5 yellow marbles. What
is the probability in fraction form of
choosing green marble?
Answer:
7/25
Step-by-step explanation:
becuase the toatal amount of marbles is 25 and there are 7 green marbles.
(5)(2)(-6) you must simplify
Answer:
-60 wdym simplify
Step-by-step explanation:
what is the interpretation of r-square?87% of the movement in unleaded gas price can be explained by the changes in crude oil price.87% of the movement in crude oil price can be explained by the changes in unleaded gas price.87% of the time this forecasting model will correctly predict the price of unleaded gas.the sum of squared errors is close to 87%.
The interpretation of R-square in this simple regression model is that 87% of the variation in the dollar price of unleaded gas can be explained by the variation in the dollar price of crude oil, which is option A.
R-square is a measure of how much of the variability in the dependent variable (dollar price of unleaded gas) is explained by the independent variable (dollar price of crude oil).
An R-square of 0.87 means that 87% of the variation in the dependent variable can be explained by the independent variable. Therefore, option A correctly interprets the meaning of R-square in this regression model.
Option B is incorrect as it suggests the opposite relationship, and option C is incorrect as it refers to the sum of squared errors, not the R-square. Option D is also incorrect as R-square does not measure the accuracy of the forecasting model.
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--The given question is incomplete, the complete question is given
" Consider the following results of a simple regression model of dollar price of unleaded gas (dependent variable) and dollar price of crude oil independent variable): If the Table Does not display, this is the data: Coefficient T Stats Intercept Crude Oil 0.56 0.0457 28.27 73.34 Icoefficient Ilt-statistics Intercept 10.56 28.27 Crude Oil 0.0457 73.34 R-square - 0.87 What is the interpretation of R-square? O a. 87% of the movement in crude oil price can be explained by the changes in unleaded gas price. 6.87% of the movement in unleaded gas price can be explained by the changes in crude oil price O c. the sum of squared errors is close to 8796. O d.87% of the time this forecasting model will correctly predict the price of unleaded gas."--
a regular sheet of letter (printing) paper measrues 8.5 inches by 11 inches. you want to cut out squares from each corner that it may be folded up to produce an open - top box. What are the dimensions of the square cut outs that will result in a box of maximum volume
Answer:
The dimensions of the square, that will result in a box of maximum volume is a square with side length of approximately 1.585 inches
Step-by-step explanation:
The given dimension of the steel sheet are;
The width = 8.5 inches
The length = 11 inches
Let 'x' represent the side length of the squares cut out, we have;
The length of the box formed, l = 11 - 2·x
The width of the box formed, w = 8.5 - 2·x
The height of the box, h = x
The volume of the box, V = (11 - 2·x) × (8.5 - 2·x) × (x) = 4·x³ - 39·x² + 93.5·x
The maximum or minimum volume is found from dV/dx = 0 at max. or min.
dV/dx = d(4·x³ - 39·x² + 93.5·x)/dx = 12·x² - 78·x + 93.5 = 0
Which gives;
x = (78 ± √((-78)² - 4×12×93.5))/(2 ×12)
x = 4.915 or 1.585
When x = 4.915, V = 4 × 4.915³ - 39 × 4.915² + 93.5 × 4.915 = -7.65
When x = 1.585, V = 4 × 1.585³ - 39 × 1.585² + 93.5 × 1.585 = 66.15
Therefore, the local maximum occurs at x ≈ 1.585
Therefore, the dimensions of the square, 'x' that will result in a box of maximum volume is x ≈ 1.585 inches.
The number of students in a school club increased from 32 to 40. By what percent did the number of students in the club change?
Please answer before 10:45
Will mark Branliest if first correct answer in the time limit
Answer:
It increased by 25%. Or multiplied by 1.25!
Step-by-step explanation:
The number was increased by 8, and 8 is a quarter of 32. We can prove this to be the answer by increasing 32 by 25%, or multiplying by 1.25 to get 40.
write the equation of the line that passes through the point (-2,7) and is perpendicular to a line that passes through the points (-6,1) and (0,4)
Answer:
Math
Step-by-step explanation:
I hope ican help sorry
describe how changing one score influences the mean and standard deviation. changing one score changes the mean, but the standard deviation remains unchanged. changing one score changes both the mean and the standard deviation. changing one score does not change the mean, but the standard deviation changes.
In conclusion, changing one score can have an impact on both the mean and the standard deviation of a set of data. The extent of the influence depends on the deviation of the changed score from the original mean.
Changing one score can have an impact on both the mean and the standard deviation of a set of data. The mean is the average of all the scores, so if one score changes, it can affect the overall mean. The standard deviation, on the other hand, measures the deviation of each score from the mean. If one score changes, it can also affect the standard deviation, as the deviation of that score from the mean will be different.
For example, let's say we have a set of scores: 2, 4, 6, 8, 10. The mean of these scores is 6, and the standard deviation is 2.86. If we change the score of 2 to a 12, the new set of scores will be 12, 4, 6, 8, 10. The new mean will be 8, and the new standard deviation will be 2.94. As you can see, changing one score influenced both the mean and the standard deviation.
In conclusion, changing one score can have an impact on both the mean and the standard deviation of a set of data. The extent of the influence depends on the deviation of the changed score from the original mean.
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4.21 game of dreidel. a dreidel is a four-sided spinning top with the hebrew letters nun, gimel, hei, and shin, one on each side. each side is equally likely to come up in a single spin of the dreidel. suppose you spin a dreidel three times. calculate the probability of getting
The probability of getting at least one nun in three spins of a dreidel is approximately 0.578
The probability is the ratio of number of favorable outcomes to the total number of outcomes
The probability of getting no nuns in a single spin is 3/4, since there are three non-nun letters (Gimel, Hei, Shin) and four total letters.
The probability of getting no nuns in three spins is then (3/4)^3, since the spins are independent and we can multiply probabilities of independent events.
So the probability of getting at least one nun in three spins is
= 1 - (3/4)^3
= 1 - 0.421875
= 0.578125
Therefore, the probability of getting at least one nun is 0.578
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The given question is incomplete, the complete question is:
A dreidel is a four-sided spinning top with the Hebrew letters nun, gimel, hei, and shin, one on each side. Each side is equally likely to come up in a single spin of the dreidel. Suppose you spin a dreidel three times. Calculate the probability of getting (a) at least one nun?
someone help. find the value of a and b
whoever solves this with explanation gets brainliest
dont scam