Order the mass measurements in order from least to greatest.
3.2 kilograms, 3.2 centimeters, 3.2 decimeters

Answer:

42,504

Step-by-step explanation:

When order matters, it is a permutation problem, and the answer is a bigger number.

When order does not matter, it is a combination problem, and the answer is a smaller number.

Since order does not matter, you need to calculate 24C5.

nCr = (n!)/[(n - r)!r!]

24C5 = (24!)/[(24 - 5)! × 5!]

24C5 = (24 × 23 × 22 × 21 × 20)/(5 × 4 × 3 × 2 × 1)

24C5 = 42,504

The number of the solution of the equation is one. The equation has a unique solution. Then the correct option is A.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The two streamlined expressions by Isaac were not equivalent to one another. Additionally, the variable's coefficient varied in each equation. If the expression is made to be equal to one another.

Let the variable be x and the coefficients are 'a' and 'b'. Then the equation will be

ax = bx

Simplify the equation, then we have

ax - bx = 0

x(a - b) = 0

x = 0

The number of the solution of the equation is one. Then the equation has a unique solution. Then the correct option is A.

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Given the fraction 3 7/9 + 4 10/12

Add the numbers first

3 + 4 = 7

Then the fractions

7/9 + 10/12

The lowest common multiple of 12 and 9 ( the denominators) is 36

Divide the denominators by 36 and multiply the result with the numerators

(7*4 + 10 * 3)/36

= (28 + 30)/36

= 58/36

= 29/18

= 1 11/18

Add this to the sum of the wholes munbers done earlier

= 7 + 1 11/18

=8 11/18

Answer:

D) Causation

Step-by-step explanation:

Taking medicine appears to enable the patient to recover faster. Clearly a causation situation since taking medicine causes faster recovery; not taking medicine slows recovery

There is no correlation between the two patients

9514 1404 393

Answer:

  7

Step-by-step explanation:

A number with its most significant digit in the ten-millions place will have 7 as the exponent of 10 when it is written in scientific notation.

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Line with slope\($\mathrm{m}=\frac{3}{2}$\) and passing through \($(13,-8): \quad y=\frac{3}{2} x-\frac{55}{2}$\).

What is Line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" may also be used to describe a line segment in daily life that contains two locations that serve as its endpoints.

Compute the line equation\($\mathbf{y}=\mathbf{m x}+\mathbf{b}$\) for slope \($m=\frac{3}{2}$\) and passing through (13,-8)

Compute the y intercept:\($\quad b=-\frac{55}{2}$\)

Construct the line equation y=m x+b where \(m=\frac{3}{2}$ and $b=-\frac{55}{2}$\)

\(y=\frac{3}{2} x-\frac{55}{2}$$\)

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Answer:

Sure, here is a more casual and friendly way to explain how to calculate the weighted dollar amount of the savings account:

"Hey there! To find out the weighted dollar amount of the savings account, you just need to do a little math. First, multiply the amount invested in the savings account by the return on investment (ROR). Then, divide that number by the total ROR for all investments.

So, if you have $2,700 invested in the savings account and it has an ROR of 3.6%, the weighted dollar amount of the savings account would be:

($2,700 * 3.6%) / (3.6% + 1.8% + 13.6% - 1.2%) = $104.04

Easy peasy! Let me know if you have any other questions!

The value of the given expression 3+4% of 6/2+5 is 8.04

In the above question a mathematical expression is given as follows :

3+4% of 6/2+5

The acronym PEDMAS, which stands for Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction, is sometimes used to refer to the BODMAS. The BODMAS rule states that the brackets must be solved first, then powers or roots (i.e. of), followed by Division, Multiplication, Addition, and finally Subtraction.

We need to solve it using the BODMAS rule, which says first we'll solve the percentage then division, multiplication and then addition

3+4% of 6/2+5?

= 3 + \(\frac{4}{100}\) x \(\frac{6}{2}\) + 5

= 3 + \(\frac{3}{25}\) + 5

= \(\frac{25 . 3 + 1 + 5 .25}{25}\)

= \(\frac{75 + 1 + 125}{25}\)

= \(\frac{201}{25}\)

= 8.04

Hence, the value of the given mathematical expression 3+4% of 6/2+5 is 8.04

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Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer:

x=2

Step-by-step explanation:

Add

6

and

3

.

4

x

+

9

=

17

Move all terms not containing

x

4

x

=

8

Divide each term by

4

and simplify.

x

=

2

Answer:

2

Step-by-step explanation:

4X + 6 + 3 = 17

add all the whole numbers together

6+3=9

going back to the problem, it'll look like this

4X + 9 = 17

subract 9 from itself and 17

4X + 9 = 17

     - 9    -9

------------------

4x         = 8

----           ---          divide 4 from both sides

4              4

X = 2

Answer:

-21.4286% increase

or

= 21.4286% decrease

Step-by-step explanation:

How to Calculate Percentage Increase

Subtract final value minus starting value

Divide that amount by the absolute value of the starting value

Multiply by 100 to get a percent increase

If the percentage is negative, it means there was a decrease and not an increase.

Percentage Increase Formula

You can use the percentage increase formula for any percent increase calculation:

Percentage Increase=Final Value−Starting Value|Starting Value|×100

Example Problem: Percentage Increase

Last year your favorite jeans cost $36 per pair. This year they cost $45 per pair. What is the percentage increase in the price of these jeans from last year to this year?

Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100

45 - 36 = 9

9 / 36 = 0.25

0.25 × 100 = 25%

So the price of your favorite jeans increased by 25% from last year to this year.

Answer:

21.4%

Step-by-step explanation:

percent of change = (new value - original value) ÷ original value

= \(\frac{(55-70)}{70} \)

= -15/70

= -21.4% or a decrease of 21.4%

Answer: 60 ft

Separate into 2 rectangles and add their areas together!

Vertical rectangle area: 10 x 3 = 30 ft

Horizontal rectangle area: 10 x 3 = 30 ft

Area of entire thing: 30 + 30 = 60 ft

Answer:

The answer is 457,900 because the number in the tenths place is higher than 5 therefore You round it up.

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Answer:

i think its 12xy but im not for sure

Step-by-step explanation:

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

Step-by-step explanation:

Let X denote the dimension of the part after grinding

X has normal distribution with standard deviation \(\sigma=0.002 in\)

Let the mean of X be denoted by \(\mu\)

there is an upper specification of 3.150 in. on a dimension of a certain part after grinding.

We desire to have no more than 3% of the parts fail to meet specifications.

We have to find the maximum \(\mu\) such that can be used if this 3% requirement is to be meet

\(\Rightarrow P(\frac{X- \mu}{\sigma} <\frac{3.15- \mu}{\sigma} )\leq 0.03\\\\ \Rightarrow P(Z <\frac{3.15- \mu}{\sigma} )\leq 0.03\\\\ \Rightarrow P(Z <\frac{3.15- \mu}{0.002} )\leq 0.03\)

We know from the Standard normal tables that

\(P(Z\leq -1.87)=0.0307\\\\P(Z\leq -1.88)=0.0300\\\\P(Z\leq -1.89)=0.0293\)

So, the value of Z consistent with the required condition is approximately -1.88

Thus we have

\(\frac{3.15- \mu}{0.002} =-1.88\\\\\Rrightarrow \mu =1.88\times0.002+3.15\\\\=3.15\)

Answer:

1:2

Step-by-step explanation:

Answer: p-value ≈ 0.08

Step-by-step explanation:

The approximate p-value of the test is 0.0136 as per the data given in question.

The p value is a number calculated from a statistical test that describes the likelihood of finding a specific set of observations if the null hypothesis is true.

To find the approximate p-value of the test, we need to compare the sample proportion p^ to the hypothesized proportion p0 = 10% under the null hypothesis H0:p=10% vs. Ha:p>10%.

Since the sample size n is large (n = 150) and the null hypothesis assumes a normal distribution.

We can use the normal approximation to the binomial distribution. Under the null hypothesis, the test statistic z is given by:

z = (p^ - p0) / sqrt(p0 * (1 - p0) / n)

Plugging in the values, we get:

z = (0.14 - 0.1) / sqrt(0.1 * 0.9 / 150)

z = 2.22

The approximate p-value for this one-tailed test can be found by looking up the area to the right of z = 2.22 under the standard normal distribution.

Using a standard normal distribution table or calculator, we find that the area to the right of z = 2.22 is approximately 0.0136.

Therefore, the approximate p-value of the test is 0.0136. This means that if the true proportion of left-handed art students at the university is 10%, there is approximately a 1.36% chance of getting a sample proportion of 14% or higher by random chance alone.

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Not the Answer:

A: -6

D: -10

Step-by-step explanation:

Cant really see the negative sign that well so sorry if I got the number wrong. but these answers are less or equal to -5, so choose anything but these answers

On solving the provided question we can say that - correlation coefficient of the question is r = \(\frac{S_{xy} }{\sqrt{S_{xx} S_{yy} } }\) =  -0.91

The Pearson's correlation coefficient, also known as the Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply correlation coefficient, is a statistical indicator of the linear relationship between two sets of data.

\(S_{xx} =\)∑\(x^2\) - (∑x\()^2\) /n = 19300- ((420)^2 /10)= 1660

\(S_{yy} =\) ∑\(y^2\) (∑y\()^2\)/n = 7454- ((270)^2 /10) = 164

\(S_{xy} =\)∑\((xy)^2\)/n -475

The correlation coefficient is:

r = \(\frac{S_{xy} }{\sqrt{S_{xx} S_{yy} } }\) =  -0.91

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The market economy is determine principaly by the people so the answer is a) the consumers

Answer:

The answer is A

Step-by-step explanation:

Answer:

the awnser is b hope this helps

Step-by-step explanation:

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

The given function is x/16 + y/320 - 29 = 0.

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Now, the LCM of denominators 16 and 320 is 320.

So, 20x/320 + y/320 - 9,280/320 = 0

⇒20x+y-9280=0

⇒y=9280-20x

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

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Answer:

Find the 40th term for the arithmetic sequence in which

a8=60 and a12=48 .

Substitute 60 for a8 and 48 for a12 in the formula

an=a1+(n−1)d  to obtain a system of linear equations in terms of a1 and d .

a8=a1+(8−1)d→60=a1+7da12=a1+(12−1)d→48=a1+11d

Subtract the second equation from the first equation and solve for d .

12=−4d−3=d

Then 60=a1+7(−3) .  Solve for a .

60=a1−2181=a1

Now use the formula to find a40 .

a40=81+39(−3)=81−117=−36 .  

Step-by-step explanation:

The rule for the nth term of the given arithmetic sequence is given by aₙ = 41-7n

An arithmetic sequence is a list of numbers with a definite pattern.

Given is the 8th and 17th term of an arithmetic sequence, which are -15 and -78

We know that, nth term of an arithmetic sequence, is given by =

aₙ = a₁ + (n-1)d

Where n is the number of terms and d is the common difference,

Therefore,

a₈ = a₁ + (8-1)d

-15 = a₁+7d

a₁ = -7d-15...(i)

a₁₇ = a₁ + (17-1)d

-78 = a₁+16d

a₁ = -78-16d...(ii)

Solving equations 1 and 2,

-78-16d = -7d-15

9d = -63

d = -7

a₁ = = -78-16(-7)

a₁ = 34

Therefore, nth term =

aₙ = a₁ + (n-1)d

aₙ = 34+(n-1)(-7)

aₙ = 34-7n+7

aₙ = 41-7n

Hence, the rule for the nth term of the given arithmetic sequence is given by aₙ = 41-7n

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