Answer: X=-6
Step-by-step explanation:
Answer:
B. -6
Step-by-step explanation:
3(x+4)=6x solve for x
Answer:
x = 4
Step-by-step explanation:
(First write the equation down)
3 ( x + 4 ) = 6x
(Then use the disstributive property)
3 times x and 3 times 4
3x + 12 = 6x
(Now subtract the same values aka 3x from both sides)
3x - 3x cancels out aka is 0
6x - 3x is 3x
(You now have...)
12 = 3x
(Now you divide both sides by 3)
12/ 3 = 3x/3
12 divided by 3 is 4
the two 3s cancel out leaving you with x
(You now have your answer)
4 = x
(Write it in proper format)
x = 4
All done, hope this helps! :)
PLZZ HELP ASAP ON 1 AND 2.a. AND 2.b.
a diver was collecting water samples from a lake. he collected a sample at every 3m, starting at 5m below water surface. the final sample was collected at a depth of 35m.how many sample did he collected
The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.
We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.
The total depth range is:
35 m - 5 m = 30 m
The distance between each sample is 3 m, so the number of samples is:
(30 m) / (3 m/sample) + 1 = 10 + 1 = 11
Therefore, the diver collected a total of 11 water samples.
According to a survey done at your school, about 42% of all the female students participate in 2 sport seasons. You randomly ask 5 female students at your school how many sport seasons they participate in a. Draw a histogram of the Binomial distribution for this survey below. b. What is the most likely outcome to this survey? c. What is the probability that at least 3 of the female students surveyed participate in 2 sport seasons?
The probability that at least 3 of the female students surveyed participate in 2 sport seasons is 0.578, or 57.8%.
a. I cannot draw a histogram here, but I can help you understand the binomial distribution for this survey. In this case, the binomial distribution represents the number of successes (female students participating in 2 sports seasons) in 5 trials (asking 5 female students).
b. The most likely outcome can be calculated using the binomial formula:
P(x) = (n! / (x! * (n - x)!)) * (p^x) * ((1 - p)^(n - x))
where:
P(x) = probability of x successes
n = number of trials (5)
x = number of successes (0 to 5)
p = probability of success (0.42)
Calculate P(x) for each x (0 to 5) and find the highest probability, which corresponds to the most likely outcome.
c. To find the probability that at least 3 of the female students surveyed participate in 2 sports seasons, you need to calculate P(3), P(4), and P(5) using the binomial formula above, and then sum the probabilities:
P(at least 3) = P(3) + P(4) + P(5)
Compute the probabilities and sum them to get the final probability.
a. The histogram of the Binomial distribution for this survey would have 6 bars, labeled 0 through 5, with the height of each bar representing the probability of getting that many female students who participate in 2 sport seasons out of 5 randomly surveyed. The shape of the histogram would be skewed to the right.
b. The most likely outcome of this survey would be 2 female students participating in 2 sport seasons, since 42% of all female students participate in 2 sport seasons and 5 female students were randomly surveyed.
c. To calculate the probability that at least 3 of the female students surveyed participate in 2 sport seasons, we need to calculate the probability of getting 3, 4, or 5 female students who participate in 2 sport seasons. Using the Binomial distribution formula, the probability of getting exactly k successes out of n trials, with probability p of success on each trial, is:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
In this case, n=5, k=3,4,5, and p=0.42. So:
P(X>=3) = P(X=3) + P(X=4) + P(X=5)
= [(5 choose 3) * 0.42³ * 0.58²] + [(5 choose 4) * 0.42^4 * 0.58^1] + [(5 choose 5) * 0.42⁵ * 0.58⁰]
= 0.315 + 0.221 + 0.042
= 0.578
Therefore, the probability that at least 3 of the female students surveyed participate in 2 sport seasons is 0.578, or 57.8%.
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Factor completely: 5x^2-11x+6
What is the area of the shaded region?
Answer: 7\(x^{2}\)+13x-7
Step-by-step explanation: (3x + 7)(3x - 1) = 9\(x^{2} \\\) + 18x - 7. (2x + 5)x = 2\(x^{2}\)+5x. 9\(x^{2} \\\) + 18x - 7 - (2\(x^{2}\)+5x) = 7\(x^{2}\)+13x-7
When studying the effect of variable x on variable y, we observed a very strong correlation (r−0.37) between the furo variatses What can we conclude about them? Select one: a. y is strongly associated with x and there may be no need for a second independent variable: b. Regardiess of the range of data, further changes in x will lead to no changes in y C. x has causedy d Y is not associaled with X. There may be another variable required to define the observed changes in y. e. y has caused x
Based on the very strong negative correlation (r = -0.37) observed between variables x and y, we can conclude that y is strongly associated with x. However, there may be a need for a second independent variable to fully explain the observed changes in y.
The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient is -0.37, indicating a strong negative correlation between variables x and y.
Option a, "y is strongly associated with x and there may be no need for a second independent variable," is not the correct conclusion because a strong correlation does not necessarily imply that no other independent variable is needed. It only suggests a strong relationship between x and y.
Option b, "Regardless of the range of data, further changes in x will lead to no changes in y," is not accurate since a strong correlation indicates that changes in x will likely result in changes in y.
Option c, "x has caused y," is not an appropriate conclusion because correlation does not imply causation. It suggests a relationship between x and y but does not establish a cause-and-effect relationship.
Option d, "Y is not associated with X. There may be another variable required to define the observed changes in y," is also incorrect because the observed strong correlation indicates an association between x and y. However, it acknowledges the possibility of another variable contributing to the observed changes in y.
Therefore, the correct conclusion is that y is strongly associated with x, but there may be a need for a second independent variable to fully explain the observed changes in y.
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1.Discuss the population scenario of Dhaka City.? (3 point)
2.How do you want to restructure the population of Dhaka City to mitigate the present traffic jam situation?
The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth.
1. The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth. These factors have led to numerous challenges, including increased traffic congestion, inadequate infrastructure, and strain on public services. The city's population is growing at a rapid pace, resulting in overcrowding, housing shortages, and environmental concerns.
2. To mitigate the present traffic jam situation in Dhaka City, a restructuring of the population can be pursued through various strategies. One approach is to promote decentralization by developing satellite towns or encouraging businesses and industries to establish themselves in other regions. This would help reduce the concentration of population and economic activities in the city center. Additionally, improving public transportation systems, including expanding the metro rail network, introducing dedicated bus lanes, and enhancing cycling and pedestrian infrastructure, can provide viable alternatives to private vehicles. Encouraging telecommuting and flexible work arrangements can also help reduce the number of daily commuters. Moreover, urban planning should focus on creating mixed-use neighborhoods with residential, commercial, and recreational spaces to minimize the need for long-distance travel.
By implementing these measures, the population of Dhaka City can be restructured in a way that reduces the strain on transportation systems, alleviates traffic congestion, and creates a more sustainable and livable urban environment.
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Solve for xxx.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4x+4\leq9x+84x+4≤9x+8
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8
84x ≤ 4
x ≤ 1/21
x ≤ 0.05
Thus,
The value of x is less than or equal to 0.05.
x ≤ 0.05
What is inequality?
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8
Adding the like terms.
4x + 4 ≤ 93x + 4 ≤ 9x + 8
Subtracting 4 on all sides.
4x ≤ 93x ≤ 9x + 4
Subtracting 4x on all sides.
0 ≤ 93x - 4x ≤ 5x + 4
We can write it as,
89x ≤ 5x + 4
89x - 5x ≤ 4
84x ≤ 4
x ≤ 4/84
x ≤ 1/21
x ≤ 0.05
Thus,
The value of x is less than or equal to 0.05.
x ≤ 0.05
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write the equation in general form
Step-by-step explanation:
here is your answer hope you will enjoy and mark me as brainlist
thank you
Select all of the trips that would take 2 hours.
A. Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles
apart.
B. Walk 3 miles per hour to school, which is 1.5 miles away.
C. Take a train going 80 miles per hour from Albany to New York City, which are 160
miles apart
a and c bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbyyyyyyy
Cindy is 6 years older than half her
mother's age. Cindy's mom is 70 years old.
How old is Cindy?
Answer:
cindy is 51
Step-by-step explanation:
70 divided by 2 is 45
45+ 6 is 51
stagg high school has a rectangular swiming pool the area of the water in the pool is 1,800 meters squared the length is twice the width what is the perimeter of the pool find the length and width. SHOW WORK
Step-by-step explanation:
L*b=1800m^2
L=2b
2b*b=1800
2b^2=1800
b^2=900
b=30m
L=2*30
=60m
Perimeter=2(l+b)
=2(60+30)
=2*90
=180m
What is the result of applying the power rule to (A^x)^y?
The result of applying the power rule to \((A^{x} )^{y}\) is \(A^{xy}\).
The power rule of exponentiation states that when a base is raised to a power, and that power is then raised to another power, we can simply multiply the exponents. In other words, \((A^{m} )^{n}\) = \(A^{mn}\).
Therefore, when we apply the power rule to \((A^{x} )^{y}\), we can simply multiply the exponents. This gives us the result of \((A^{x} )^{y}\) = \(A^{xy}\).
To understand this, let's take an example. Suppose A=2, x=3, and y=4. So we have \((2^{3} )^{4}\). By applying the power rule, we can simplify this as \((2^{3} )^{4}\)=\(2^{12}\).
In essence, what the power rule does is it allows us to simplify complex expressions involving exponents into simpler forms. This is particularly useful when dealing with algebraic expressions or mathematical formulas that involve multiple exponentiations.
In summary, the result of applying the power rule to \((A^{x} )^{y}\) is\(A^{xy}\), which represents the simplified form of the expression.
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NEED HELP, show your work plzzzzz!!
Thx
6131 divided by 7 is a non-terminating decimal, meaning it doesn't end, and the numbers do not repeat.
the set of points ( 2et , t ), where t is a real number, is the graph of y =
The set of points (2et, t), where t is a real number, is the graph of y = t.
The set of points (2et, t) represents a parametric equation in the form of (x, y), where x = 2et and y = t. In this case, the value of x is determined by the exponential function 2et, while y takes on the value of t directly.
When we eliminate the parameter t, we obtain the equation y = t, which represents a linear relationship between the variables x and y. This means that for every value of t, the corresponding point on the graph will have the same y-coordinate as the value of t itself. Hence, the equation of the graph is y = t.
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Write and algebraic expression:
The tens digit of a number is b and the units digit is twice as big. What is the value of the number in terms of b if the digits are reversed?
Answer:
21b
Step-by-step explanation:
Determine the degree of the following polynomial: -7xy^3z^2
Answer:
The given expression is -7xy^3z^2
The degree of x is 1
The degree of -7 is 0
The degree of y^3 is 3
The degree of z^2 is 2
The degree of a polynomial is the highest exponent of its variables. In the case of the polynomial -7xy^3z^2, the degree is the highest exponent among x, y, and z.
The highest exponent is 3, which is the exponent of y. So the degree of the polynomial -7xy^3z^2 is 3.
It's worth noting that the coefficient -7 has no effect on the degree of the polynomial. The degree of a polynomial is determined by the exponents of its variables, not its coefficients.
How much does 4 miles =
Answer:
6.44 km
21120 feet
7040 yard
253440 in
Step-by-step explanation:
Answer:
4 miles =21, 120 ft
4 miles =253,440 inches
4 miles = 7040 miles
Step-by-step explanation:
Hope this helped!!!!
Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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Multiply and simplify. 11 18 × − 4 11
A) − 7 27
B) − 2 9
C) 5 9
D) 11 27
Answer:
B) − 2/9
Explanation:
\(\hookrightarrow \sf \dfrac{11}{18} * -\dfrac{4}{11}\)
join both fractions
\(\hookrightarrow \sf \dfrac{11*-4}{18*11}\)
simplify by multiplying
\(\hookrightarrow \sf \dfrac{-44}{198}\)
simplify the following
\(\hookrightarrow \sf -\dfrac{2}{9}\)
\(\bold{Heya!}\)
→ Answer :-B) \(\sf{-\frac{2}{9}\)→ EXPLANATION :\(\sf{\frac{11}{18}(-\frac{4}{11})\)
Apply rule : \(\sf{a(-b) = -ab}\)
\(\sf{\frac{11}{18}(-\frac{4}{11}) = -\frac{11}{18}\) × \(\sf{\frac{4}{11}\)
\(\sf{= -\frac{11}{18}\) × \(\sf{\frac{4}{11}\)
Cross - cancel common factor: \(\sf{11}\)
\(\sf{= -\frac{4}{18}\)
Factor the number: \(\sf{4 = 2}\) × \(\sf{2}\)
\(\sf{= -\frac{2 \: x \: 2}{18}\)
Factor the number: \(\sf{ 18 = 2 \: x \: 9}\)
\(\sf{= - \frac{2 \: x \: 2}{2 \: x \: 9}\)
Cancel common factor: \(\sf{2}\)
\(\sf{-\frac{2}{9}\)
Hopefully This Helps ! ~
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\(\underline{Answer :}\)
Jaceysan ~
HELP!!! WILL GIVE BRAINLIEST
How many solutions does
6 - 3x = 4 - x - 3 - 2x have?
A. Two solutions
B. Infinitely many solutions
C. One solution
D. No solutions
Answer:
remember to give me brainliest :p
one solution
Step-by-step explanation:
:)
Answer:
No solutions
Step-by-step explanation:
6 - 3x = 4 - x - 3 - 2x
6 - 3x = 1 - 3x
6 = 1
No solutions (6 does not equal 1)
Help please this is due at 2:00 :(
Answer: your independent variable will be the group that receives the placebo. the dependent variable would be the group that received serum B, and your experimental group are the agents from both groups. I say that because both groups received the experimental serum, whereas the first group got a placebo. not sure if your teacher only wants one answer for each questions, but this is what I believe to be correct.
Step-by-step explanation:
You pick a card at random. 5 6 7 What is P(less than 7)? Write your answer as a fraction or whole number.
The probability of picking a card less than 7 from a standard deck of cards is 2/13.
To find the probability (P) of picking a card less than 7, we need to determine the number of favorable outcomes (cards less than 7) and divide it by the total number of possible outcomes.
In this case, the favorable outcomes are the cards with values less than 7, which are 5 and 6. The total number of possible outcomes is the total number of cards in the deck, which depends on the specific deck being used.
Assuming a standard deck of 52 cards, there are four 5s and four 6s, making a total of eight favorable outcomes.
Therefore, P(less than 7) = favorable outcomes / total outcomes = 8 / 52.
Simplifying the fraction, we find that P(less than 7) = 2 / 13.
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The divergence test applied to the series 3n 2n +1 tells us that the series the series converges. the series converges the series diverges. further testing is needed.
The limit of the sequence of terms of a series is zero, this test alone does not prove that the series converges, and further testing is needed to determine convergence or divergence.
The divergence test is a test used to determine if a series converges or diverges. It states that if the limit of the sequence of terms of a series is not zero, then the series diverges.
The series 3n/(2n + 1) can be simplified to
=3/2 - 3/4n + 3/4n+1.
As n approaches infinity, the terms in the series approach 3/4n, which approaches infinity as n approaches infinity.
Therefore, the limit of the sequence of terms of this series is not zero, and so the series diverges. Thus, the answer to the question is the series diverges.
A more general form of the divergence test states that if the limit of the sequence of terms of a series is not zero, then the series diverges. However, if the limit of the sequence of terms of a series is zero, this test alone does not prove that the series converges, and further testing is needed to determine convergence or divergence.
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The diameter of a pearl is about 4 x 10-3cm and the diameter of an atom is about10-11m. How much larger than an atom is a pearl?Show your work.
a)14x 10∧-14times b) 4 x 10 ∧-14timesc) 14x 10∧-11times d) 4 x 10∧6times
Answer:
D. 4 × 10⁶ timesStep-by-step explanation:
The diameter of a pearl is
4 × 10⁻³cm = 4 × 10⁻⁵ mThe diameter of an atom is
10⁻¹¹mHow much larger than an atom is a pearl?
4 × 10⁻⁵ ÷ 10⁻¹¹ = 4 × 10⁻⁵⁺¹¹ = 4 × 10⁶ timesCorrect option is D
The _________ measures how.consistent the slope of the regression equation would be if several sets of samples from the population were selected and the regression equation were derived for each of them a. coefficient of determination b. standard error of the slope c. correlation coefficient d. standard error of the estimate
The answer is (d) Standard Error of the Estimate. This measures how far the observed values are from the predicted values in a regression model.
It provides an estimate of the variability around the regression line. The lower the standard error of the estimate, the better the regression equation fits the data.
The coefficient of determination (a) measures the proportion of the variance in the dependent variable that is explained by the independent variable(s) in the regression model. The correlation coefficient (c) measures the strength and direction of the linear relationship between two variables. The standard error of the slope (b) measures the precision of the estimated slope coefficient in a regression model.
In summary, the standard error of the estimate measures the variability around the regression line, and provides an estimate of how consistent the slope of the regression equation would be if multiple samples were selected from the population. It is an important measure of the goodness of fit of the regression model, and can be used to assess the accuracy and reliability of the predictions made by the model.
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Use the specified row transformation to change the matrix. 2 times row 1 added to row 2 What is the transformed matrix? 16 000 EXXE 16 5 -23-1 47 0
The transformed matrix after performing the specified row operation (2 times row 1 added to row 2) is:
\(\left[\begin{array}{ccc}2 & 12 & 10\\0&15&9\\4&7&0\end{array}\right]\)
Here, we have to transform the matrix using the specified row operation (2 times row 1 added to row 2), follow these steps:
Here, given that the Matrix:
\(\left[\begin{array}{ccc}1 & 6 & 5\\-2&3&-1\\4&7&0\end{array}\right]\)
Multiply the first row by 2:
\(\left[\begin{array}{ccc}2 & 12 & 10\\-2&3&-1\\4&7&0\end{array}\right]\)
Add the result of the multiplication to the second row:
\(\left[\begin{array}{ccc}2 & 12 & 10\\0&15&9\\4&7&0\end{array}\right]\)
So, the transformed matrix after performing the specified row operation (2 times row 1 added to row 2) is:
\(\left[\begin{array}{ccc}2 & 12 & 10\\0&15&9\\4&7&0\end{array}\right]\)
The specified row operation involves multiplying row 1 by 2 and then adding the result to row 2.
This operation affects the second row while leaving the other rows unchanged.
Each element in the second row is modified as follows:
New value of element (2nd row, 1st column): 2 * 1 + 0 = 2
New value of element (2nd row, 2nd column): 2 * 6 + 0 = 12
New value of element (2nd row, 3rd column): 2 * 5 + (-1) = 9
This results in the transformed matrix provided above.
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A triangle has three angles with the measures of (2x), (2x + 14), and (6x + 6)".
What is the measure of the smallest angle in the triangle?
Answer:
Option c : 32 degree.
Step-by-step explanation:
2x + 2x + 14 + 6x + 6 = 180 degrees
10x = 160
x = 16
2x = 16 *2 = 32 degrees
Answer:
Step-by-step explanation:
Angles in a triangle add up to 180°
You take 2x+2x+14+6x+6=180°
Collect like term and add 2x+2x+6x+14+4=180°
10x+20=180°
10x=180°-20
10x=160÷10
x=16
16*2=32
16*2+14=46
16*6+6=100
Smallest angle is 32
please help me i am confused