9514 1404 393
Answer:
vector: <4, -1>(x, y) ⇒ (x +4, y -1)Step-by-step explanation:
Note where A' is in relation to A. You see it is right 4 units and down 1 unit. Expressed as a vector, that is ...
AA' = <4, -1>
In coordinate notation, the vector is added to (x, y):
(x, y) ⇒ (x +4, y -1)
Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at three that ends at the open point 2, 3, a closed point at 2, 1, and another horizontal line starting at the open point 2, -2. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x.. Does not exist; does not exist 1; 1 -2; 3 3; -2
solve nt+6-xt=s for t
Answer:
\(t=\frac{s-6}{n-x}\)
Step-by-step explanation:
\(nt+6-xt=s\)
\(\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\)
\(nt+6-xt-6=s-6\)
\(Simplify\)
\(nt-xt=s-6\)
\(nt-xt\)
\(=t\left(n-x\right)\)
\(t\left(n-x\right)=s-6\)
\(\frac{t\left(n-x\right)}{n-x}=\frac{s}{n-x}-\frac{6}{n-x};\quad \:x\ne \:n\)
\(t=\frac{s-6}{n-x}\)
Therefor the value of t after arrangement is t = (s-6)/(n-x)
What is Mathematical function ?
Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.
In other words the function represents the graph between x and y that is for each value of x there exist one value of y but here there is no restriction in values of y that is y can have infinity values.
Given equation is nt+6-xt=s
Now solving for t by separately variables and constant :
nt+6-xt=s
t(n-x) = s-6
t = (s-6)/(n-x)
Therefor the value of t after arrangement is t = (s-6)/(n-x)
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1. What's the probability that a respondent was a boy AND in year 8?
Answer:
8/18?
Step-by-step explanation:
5. Find the perimeter and area
*Triangle- based prism*
Step-by-step explanation:
for the perimeter you have to say two brackets live plus height plus with plastic
The series [infinity]Σn=1 5n^5+ 3/ 4n^5+1 is divergent. Select one: True O False
the statement "The series\(Σn=1 ∞ 5n^5+ 3/4n^5+1\)is divergent" is true.
The statement "The series
Σn=1 ∞ 5n^5+ 3/4n^5+1
is divergent" is true. Explanation: The series is given as follows;
\(Σn=1 ∞ 5n^5+ 3/4n^5+1\)
In order to determine the convergence of this series, let us apply the nth term test to the series.Taking the limit as n approaches infinity of the nth term of the series we obtain;
\(lim n→∞〖(5n^5+3)/(4n^5+1)〗\)
= lim n→∞(5+3/n^5)/(4+1/n^5)
= 5/4
As the limit is not equal to zero, the nth term test fails. Hence, we cannot establish the convergence of the series through the nth term test, and therefore we can conclude that the series
Σn=1 ∞ 5n^5+ 3/4n^5+1 is divergent.
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tell me something?????????????
Today, the waves are crashing onto the beach every 4.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.5 seconds. Round to 4 decimal places where possible.
The probability that wave will crash onto the beach exactly 0.6 seconds after the person arrives is P(x = 0.6) =
The probability that the wave will crash onto the beach between 1.5 and 2.3 seconds after the person arrives is P(1.5 < x < 2.3) =
The probability that it will take longer than 1 seconds for the wave to crash onto the beach after the person arrives is P(x > 1) =
Suppose that the person has already been standing at the shoreline for 1 seconds without a wave crashing in. Find the probability that it will take between 1.3 and 2 seconds for the wave to crash onto the shoreline.
94% of the time a person will wait at least how long before the wave crashes in? seconds.
Find the minimum for the upper quartile. seconds.
(a) The probability that a wave will crash onto the beach exactly 0.6 seconds after the person arrives is: P(X = 0.6) = 0. b) P(1.5 < X < 2.3) = 0.511 c) P(X > 1) = 0.7778.
What is probability density function?A probability density function (PDF) expresses the likelihood at which a continuous random variable will take on a particular value. The integral of f(x) across a range is used to determine the likelihood that a continuous random variable X will fall within that range when the PDF f(x) is specified for that variable. Namely, the likelihood that X falls inside of the range [a,b].
The probability density function of random variable X in the interval [a, b] is given as:
f(x) = 1/(b-a), for a ≤ x ≤ b
and its cumulative distribution function is given by:
F(x) = (x-a)/(b-a), for a ≤ x ≤ b
(a) The probability that a wave will crash onto the beach exactly 0.6 seconds after the person arrives is:
P(X = 0.6) = 0, since the Uniform distribution is a continuous distribution and the probability of a specific value is always zero.
(b) For 1.5 and 2.3 seconds after the person arrives is:
P(1.5 < X < 2.3) = F(2.3) - F(1.5)
= (2.3 - 0)/(4.5 - 0) - (1.5 - 0)/(4.5 - 0)
= 0.5111
c) It will take longer than 1 second:
P(X > 1) = 1 - F(1)
= 1 - (1 - 0)/(4.5 - 0)
= 0.7778
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A recipe for pasta dough say's use 150 grams of flour per large egg how much flour is needed if 6 larg eggs are used ???
Lunch break: In a recent survey of 638 working Americans ages 25-34, the average weekly amount spent on lunch as $43.20 with standard deviation $2.78. The weekly amounts are approximately bell -shaped.
In the recent survey of 638 working Americans ages 25-34, the average weekly amount spent on lunch was found to be $43.20, with a standard deviation of $2.78.
The distribution of the weekly amounts spent on lunch is approximately bell-shaped, indicating a normal distribution. The average of $43.20 represents the central tendency of the data, suggesting that it is the typical or average amount spent on lunch by individuals in this age group. The standard deviation of $2.78 measures the variability or spread of the data around the mean. A smaller standard deviation indicates that the data points are closer to the mean, indicating less variability in the amounts spent on lunch.
The bell-shaped distribution implies that a majority of individuals in the survey spend amounts close to the average, with fewer individuals spending significantly higher or lower amounts on lunch.
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Reasoning How could you write, as a percent
without dividing?
20) a rescarcher wishes to estimate the number of households with two cars. how large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 5%? a previous study indicates that the proportion of households with d). 264 two cars is 22%. a) 4 c) 186 b) 339
In this problem, a researcher wants to estimate the number of households with two cars with 95% confidence and a margin of error of 5%. The researcher also knows that a previous study showed that 22% of households had two cars. The possible answers are 4, 339, and 186.
To answer this question, we need to use the formula for sample size calculation: n = (Z^2 * p * q) / E^2, where n is the sample size, Z is the Z-score for the desired level of confidence (in this case, 1.96 for 95% confidence), p is the estimated proportion of the population with the characteristic of interest (in this case, 0.22), q is the complement of p (q = 1 - p), and E is the desired margin of error (in this case, 0.05). Plugging in these values gives us n = (1.96^2 * 0.22 * 0.78) / 0.05^2, which simplifies to n = 186.
Therefore, the correct answer is (c) 186. This means that the researcher needs to survey 186 households to estimate the number of households with two cars with 95% confidence and a margin of error of 5%.
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A certain type of cereal costs $3.79 for 19.5 ounces. What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
Step-by-step explanation:
$3.79 ÷ 19.5 = .194
answer = $.19 per oz
Answer:
0.19
Step-by-step explanation:
I took the test and passed
The equation of a function changed from y=x+6 to y = -x+6which statement best describes the change in the graph of the function
Answer:
6+
Step-by-step explanation:
help Write an equation for a line perpendicular to y=-4x+4 and passing through the point (-12,-8)
Answer: \(y=\frac{1}{4} x-5\)
Step-by-step explanation:
Lines perpendicular to another line have inversely proportional slopes. We are given that the slope of the line is -4, so the slope of the perpendicular line will be positive 1/4. Now we have a starting point for this line:
\(y=\frac{1}{4} x+b\\-8=\frac{1}{4} (-12)+b\\-8=-3+b\\b=-5\)
Notice how I plugged in the points given.
When she adds 2 to both sides, the equation 4x = 3x results. Which solution will best illustrate what happens to x ?
i need thiss like noww
Step-by-step explanation:
4x=3x
2+4x=3x+2
4x-3x=2-2
1x=0
x=1/0
X=0
(i think the question given was incomplete but this waht i could do with the given statement)
Answer:
The equation has one solution: x = 0.
Step-by-step explanation:
i just did it
Patricia bought 4 apples and 9 bananas for $12. 70. Jose bought 8 apples and 11 bananas for $17. 70 at the same grocery store.
What is the cost of one apple?
The cost of one apple is $0.70.
Let's assume that the cost of one apple is "a" dollars and the cost of one banana is "b" dollars. We can create two equations based on the information given:
4a + 9b = 12.70 ...(1)
8a + 11b = 17.70 ...(2)
To solve for "a", we can use elimination method by multiplying equation (1) by 8 and equation (2) by -4, so that the coefficients of "a" in both equations will be equal and opposite:
32a + 72b = 101.60
-32a - 44b = -70.80
Adding these two equations, we get:
28b = 30.80
Simplifying and solving for "b", we get:
b = 1.10
Now, we can substitute the value of "b" in equation (1) and solve for "a":
4a + 9(1.10) = 12.70
4a + 9.90 = 12.70
4a = 2.80
a = 0.70
Therefore, the cost of one apple is $0.70.
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Can someone PLEASE help me ASAP?
Part a.)
The probability model is:
P(R) = 1/5
P(B) = 3/25
P(G) = 4/25
P(Y) = 4/25
P(P) = 1/5
P(W) = 4/25
part b.)
all possible outcomes are included in the probability model.
part c.)
The probability model is non-uniform.
How do we calculate?For part a
Let R =the event of selecting a red balloon,
Let B = the event of selecting a blue balloon,
G = the event of selecting a green balloon,
Y = the event of selecting a yellow balloon,
P = the event of selecting a purple balloon,
W = the event of selecting a white balloon.
We can write the probability model as:
P(R) = 5/25 = 1/5
P(B) = 3/25
P(G) = 4/25
P(Y) = 4/25
P(P) = 5/25 = 1/5
P(W) = 4/25
Part B: we check that the sum of the probabilities of all possible outcomes is equal to 1 in order to verify.
We have:
P(R) + P(B) + P(G) + P(Y) + P(P) + P(W) = (1/5) + (3/25) + (4/25) + (4/25) + (1/5) + (4/25) = 1
All possible outcomes are included in the probability model.
Part C: The probability model is non-uniform because the probabilities of selecting each color of balloon are not equal.
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Which measurement statement is correct?
There are 2 cups in a pint.
There are 2 pints in a cup.
There are 4 quarts in a pint.
There are 4 pints in a quart
Answer:
There are two pints in a cup
Answer:
There are 2 pints in a cup
Step-by-step explanation:
A pint is equal to 2 cups. When measuring many cups of liquid all put together we might want to use quarts. A quart (qt) is the same thing as 4 cups or 2 pints.
Hope this helps! :D
A random sample of 200 adults was given an IQ test. It was found that 98 of them scored higher than 100. Based on this, compute a 90% confidence interval for the proportion of all adults whose IQ score is greater than 100. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. (If necessary, consult a list of formulas.) Lower limit: Il ? X 5 Upper limit
The 90% confidence interval for the proportion of all adults whose IQ score is greater than 100 is 0.443 to 0.537. The lower limit is 0.443 and the upper limit is 0.537.
To calculate the confidence interval, we can use the formula for the standard error of the proportion:
SE = sqrt((p * (1 - p)) / n)
where p is the sample proportion (98/200) and n is the sample size (200).
Plugging in the values, we get:
SE = sqrt((98/200 * (1 - 98/200)) / 200) ≈ 0.030
Next, we need to find the critical value corresponding to a 90% confidence level. Since we are dealing with proportions, we can use the normal distribution approximation. The critical value can be obtained from the standard normal distribution table or using a statistical calculator. For a 90% confidence level, the critical value is approximately 1.645.
The margin of error (E) is given by:
E = critical value * SE
E ≈ 1.645 * 0.030 ≈ 0.049
Finally, we can calculate the lower and upper limits of the confidence interval:
Lower limit = p - E
Upper limit = p + E
Lower limit ≈ 98/200 - 0.049 ≈ 0.443
Upper limit ≈ 98/200 + 0.049 ≈ 0.537
Therefore, the 90% confidence interval for the proportion of all adults whose IQ score is greater than 100 is approximately 0.443 to 0.537.
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What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?
Answer:
center: (-5,6)
Radius: 7
Step-by-step explanation:
Answer I need help plsssssssssssssss??
Answer:
1. -1/2
2. Graph attached below:
Step-by-step explanation:
1) To find to slope of the line with two points would be the following equation:
\(y_{2} - y_{1} / x_{2} - x_{1}\)
So let’s assume our variables and subsitute them to see that the Carma’s Working out is an error.
Form: \((x_{2}, y_{2}), (x_{1}, y_{1})\)
\(y_{2} = 3\)
\(y_{1} = 1\)
\(x_{2} = 7\)
\(x_{1} = 11\)
\(3 - 1 / 7 - 11 = -1/2\)
1. Error one: The point values of the slope aren‘t correctly labeled and are not the same form as in the formula.
2. Error two: The slope output is not correct, it is 2 but the slope is -1/2.
Now let’s get on the graph of Carma’s workout, I can spot that the point (-4, 5) is not plotted correctly. Instead it is plotted (4, -5). To understand clearly I will label these points on a graph, image attached below:
3. Error three: The point (-4, 5) is not plotted correctly, x should be negative and y should be positive.
4. Error four: The slope is not correct, instead the slope of the graph is negative but we need a positive slope.
Now it is time to fix Carma’s mistakes:
1) Slope: -1/2
2) Graph attached below
hello brainly team I need help
Answer:
5)
x=13.856
y=8
6)
u=4
v=3.464
Step-by-step explanation:
5)
y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)
y = 16*sin(30)/sin(90)
y=8
x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)
x=16*sin(60)/sin(90)
x=13.856
6)
sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)
sin(90)/u= sin(30)/2
u *sin(30) = 2* sin(90)
u *sin(30) = 2
u=2/sin(30)
u=2/0.5
u=4
sin(60)/v= sin(30)/2
v *sin(30) = 2* sin(60)
v *sin(30) = 2 * 0.866
v * sin(30) = 1.73
v = 1.73/sin(30)
v = 3.464
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[5] x = 8 and y = 13.856
[6] v = 4 and u = 3.464
≤ Step-by-step explanation ≥-------------------------------------------------------------------------------------------------------------
[5]
sin60° = x/16 = 1/2
x = 16/2 = 8
cos60° = y/16 = √3/2
y = 16√3/2 = 8√3
Can also be : 8√3 = 13.856
-------------------------------------------------------------------------------------------------------------
[6]
sin30° = 2/u = 1/2
u = 2 x 2 = 4
tan30° = 2/v = √3
v = 2√3
can also be: 2√3= 3.464
-------------------------------------------------------------------------------------------------------------
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~lenvy~
Pls help me:
1) 3/5 ÷ 3=
2 )2÷ 2/5=
Check the image below
Which of the following two characteristics are typical features of a less-developed country? high percentage of employed population high percentage of the population engaged in agricultural activity lower life expectancy due to limited access to healthcare high literacy rate due to funds available for higher education high gross domestic product per capita
Answer:
two characteristics are typical features of a less-developed country are:-
2- High percentage of the population engaged in agricultural activity
3- Lower life expectancy due to limited access to healthcare
Step-by-step explanation:
1 -false
2- true
3- true
4- false
5- false
~Kandy~
hope this helped!
Brainliest please!
y + x + 2y = 8y + 3 << im supposed to solve this and i have no idea what it is.. please help!
Answer:
x=5y and y=x/5
Step-by-step explanation:
Simplify m7m−4.
please please helpppp
Answer:
\(m^8-4\)
Step-by-step explanation:
\(Rule: a^b\cdot \:a^c=a^{b+c}\\=m^7m=m^{7+1}\\=m^{7+1}-4\\=m^8-4\)
1. What shape is this figure
2. What is the volume formula for this figure
3. Find the approximate volume
Answer: The shape is a cylander. The volume formula is πr2h. The approximte volume is 1000.6.
Step-by-step explanation:
The formula is πr2h so do the math ad you get 1000.6
What is the point slope form of the line with slope 25 that passes through the point (−4, −7)?
(A) y+7=25(x+4)
(B) y+4=25(x+7)
(C) y−7=25(x−4)
(D) y−4=25(x−7)
Answer:
Option A: \(y+7 = 25(x+4)\) is the correct answer.
Step-by-step explanation:
The point-slope form of an equation of a line is given by:
\(y-y_1 = m(x-x_1)\)
Here:
m is the slope of the line
\((x_1,y_1)\) are the coordinates of the point from which the line passes.
Now looking at the given question:
\(m = 25\\(x_1,y_1) = (-4,-7)\)
Putting the values in the general form of point-slope form of equation of line
\(y-(-7) = 25\{x-(-4)\}\\y+7 = 25(x+4)\)
Hence, the point-slope form of given line is:
\(y+7 = 25(x+4)\)
Observing the option given, it can be concluded that Option A: \(y+7 = 25(x+4)\) is the correct answer.
The quality control manager at a computer manufacturing company believes that the mean life of a computer is 80 months, with a variance of 6464. If he is correct, what is the probability that the mean of a sample of 7777 computers would be less than 82.5982.59 months
The probability that the mean of a sample of 7777 computers would be less than 82.59 months is 100%, or close to 1.
The probability that the mean of a sample of 7777 computers would be less than 82.5982.59 months, assuming a mean life of 80 months and a variance of 6464, can be calculated using the central limit theorem and the standard normal distribution.
First, we calculate the standard error of the mean using the formula:
standard error of the mean = σ/√n
where σ is the population standard deviation, n is the sample size.
Here, σ² = 6464, so σ = √6464 = 80.3
n = 7777
standard error of the mean = 80.3/√7777 ≈ 0.907
Next, we calculate the z-score using the formula:
z = (\(\bar{x}\) - μ) / (σ/√n)
where \(\bar{x}\) is the sample mean, μ is the population mean, σ is the population standard deviation, n is the sample size.
Here, \(\bar{x}\) = 82.59, μ = 80, σ = 80.3, n = 7777
z = (82.59 - 80) / (80.3/√7777) ≈ 8.6
We find that the probability of z being less than 8.6 is very close to 1, or 100%.
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Two adjacent angles that have a sum of exactly 180° are called:________
Two adjacent angles that have a sum of exactly 180° are called supplementary angles.
This means that the two angles are adjacent, meaning they share a common side and vertex, and their measures add up to exactly 180 degrees. Supplementary angles can be found in a variety of geometric shapes, such as triangles, quadrilaterals, and polygons.
One common example of supplementary angles is a linear pair, which consists of two adjacent angles that form a straight line, such as the angles formed by two sides of a square or rectangle. Knowing that two angles are supplementary can be helpful in solving problems related to angles and geometry.
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