2/3÷2 1/3= dividing fractions

Answer:

7+x

Step-by-step explanation:

X will be the unknown

The form that most quickly reveals the y intercept is

The y intercept is (0, 21/2)

The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.

In the form,  f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept

hence we can easily say that the y intercept is (0, 21/2)

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Answer:

a) \(6c^2\)

b) 216 cm^2

Step-by-step explanation:

A) the area of one face of the cube, is the side length x the side length. As it is a cube, all sides are the same length, so we do c x c = \(c^2\)

There are 6 faces in a cube so we have to times one face by 6 to get  \(6c^2\)

B) c = 6

substituting this into the equation we made:

6 x (6)^2

6 x 36

216

So the surface area is 216 cm^2.

Hope this helps, let me know if you have any questions :)

Answer:

81.74% probability that the sum of the 95 wait times you observed is between 670 and 796

Step-by-step explanation:

To solve this question, the uniform probability distribution and the normal probability distribution must be understood.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The distribution has two bounds, a and b.

Its mean is given by:

\(M = \frac{b - a}{2}\)

Its standard deviation is given by:

\(S = \sqrt{\frac{(b-a)^2}{12}}\)

Normal distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of the uniform distribution can be approximated to the normal with \(\mu = nM\), \(\sigma = S\sqrt{n}\)

Uniformly distributed over the interval [0,15].

This means that:

\(M = \frac{15 - 0}{2} = 7.5\)

\(S = \sqrt{\frac{(15-0)^2}{12}} = 4.33\)

95 trains

\(n = 95\), so:

\(\mu = 95M = 95*7.5 = 712.5\)

\(\sigma = S\sqrt{n} = 4.33\sqrt{95} = 42.2\)

What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between 670 and 796?

This is the pvalue of Z when X = 796 subtracted by the pvalue of Z when X = 670. So

X = 796

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{796 - 712.5}{42.2}\)

\(Z = 1.98\)

\(Z = 1.98\) has a pvalue of 0.9761

X = 670

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{670 - 712.5}{42.2}\)

\(Z = -1\)

\(Z = -1\) has a pvalue of 0.1587

0.9761 - 0.1587 = 0.8174

81.74% probability that the sum of the 95 wait times you observed is between 670 and 796

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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Answer:

x ≥ 4

Step-by-step explanation:

Well to find the inequality we need to single out x,

4x - 1 ≥ 15

+1 to both sides

4x ≥ 16

Divide 4 by both sides

x ≥ 4

Thus,

x is greater than or equal to 4.

Hope this helps :)

The absolute minimum of the function is f ( -10 ) = -1

Given data ,

Let the function be represented as f ( x )

Now , the function f ( x ) is plotted on the graph

where the minimum of a function is the smallest value that the function takes on over its entire domain.

It is the point on the graph of the function that is the lowest possible point

So , the function has the minimum value of - 1 at the point x = -10

Hence , the minimum of function is f ( -10 ) = -1

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If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.

A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.

The number of dots plotted on each number line shows the frequency of the data group.

Height    Frequency   Cumulative Frequency

56¹/₂             2                               2

57                 2                               4

57¹/₂             2                               6

58                2                               8

58¹/₂             1                               9

Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.

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Answer:

Answer: 2 ml

Step-by-step explanation:

1 litre is equal to 1,000 ml, and therefore the best solution is 2 ml.

We can say that after answering the offered question Therefore, the proportionality constant of proportionality in this scenario is 11.25.

Proportionate relationships are those that have the same ratio every time. For example, the average number of apples per tree defines how many trees are in an orchard and how many apples are in an apple harvest. Proportional refers to a linear relationship between two numbers or variables in mathematics. When the first quantity doubles, the second quantity doubles as well. When one of the variables decreases to 1/100th of its previous value, the other falls as well. When two quantities are proportional, it means that when one rises, the other rises as well, and the ratio between the two remains constant at all values. The diameter and circumference of a circle serve as an example.

In this case, we may use the following formula to calculate the proportionality constant:

proportionality constant = output/input

where the output is John's pay and the input is the number of hours he worked.

As a result, the proportionality constant is:

Paycheck/hours worked = proportionality constant

proportionality constant = 450/40

proportionality constant = 11.25

As a result, the proportionality constant in this scenario is 11.25.

In this case, we may use the following formula to calculate the proportionality constant:

proportionality constant = output/input

where the output is John's pay and the input is the number of hours he worked.

As a result, the proportionality constant is:

Paycheck/hours worked = proportionality constant

proportionality constant = 450/40

proportionality constant = 11.25

Therefore, the constant of proportionality in this scenario is 11.25.

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The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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Answer:

f(x) is a function such that if p(y)

Step-by-step explanation:

A specific X-value for the solution ,-4 is not equal to -3/2.

The x-value of the solution to the system of equations, we need to solve the given equation and the line represented by the data in the table. Let's begin by examining the first equation, 2x + 4y = 0.

We can rewrite this equation in terms of y:

4y = -2x

y = (-2/4)x

y = (-1/2)x

Now, let's use the data from the table to create a system of equations:

For the first data point (-1, 8):

y = (-1/2)x

8 = (-1/2)(-1)

8 = 1/2

Since 8 is not equal to 1/2, the first data point does not satisfy the equation.

For the second data point (3, -4):

y = (-1/2)x

-4 = (-1/2)(3)

-4 = -3/2

Again, -4 is not equal to -3/2, so the second data point does not satisfy the equation.

We can continue this process for the remaining data points, but from the information given, it seems that none of the data points satisfy the equation. Therefore, there is no solution to the system of equations.

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Answer:

168cm²

Step-by-step explanation:

Base area of rectangular box

= 1680cm³ ÷ 10cm

= 168cm²

Area covered by rectangular box on the table

= 168cm²

Answer:

a.\(y+1=0\)

b.\(2x+4y=1\)

Step-by-step explanation:

We are given that

\((x^2+y^2)^2=3x^2y-y^3\)

a.(0,-1)

Differentiate w.r.t x

\(2(x^2+y^2)(2x+2yy')=6xy+3x^2y'-3y^2y'\).....(1)

Substitute x=0 and y=-1 in equation (1)

\(2(0+1)(-2y')=-3y'\)

\(-4y'+3y'=0\)

\(-y'=0\)

\(y'=0\)

\(m=y'=0\)

Point-slope form:

\(y-y_0=m(x-x_0)\)

Using the formula

\(y+1=0\)

This is required equation of tangent line to the given curve at point (0,-1).

b.(-1/2,1/2)

Substitute the value in equation (1)

\(2(1/4+1/4)(-1+y')=6(-1/2)(1/2)+3(1/4)y'-3(1/4)y'\)

\(2(2/4)(-1+y')=-3/2+3/4y'-3/4y'\)

\(-1+y'=-3/2\)

\(y'=-3/2+1=\frac{-3+2}{2}=-\frac{1}{2}\)

\(m=y'=-1/2\)

Again using point-slope formula

\(y-1/2=-1/2(x+1/2)\)

\(\frac{2y-1}{2}=-\frac{1}{4}(2x+1)\)

\(2y-1=-\frac{1}{2}(2x+1)\)

\(4y-2=-2x-1\)

\(2x+4y=2-1\)

\(2x+4y=1\)

Answer:

Multiply by √36 / √36

Step-by-step explanation:

It will cancel out the √36 on the bottom to make it radical, just make sure to put it on the top too.

For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

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The new equation is y=-1/2x+5.  An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

Our first line in this equation is y=2x-1. By applying the equation y=mx+b, where "m" stands for the slope, we can see that our "m" in this instance is 2. then negate 2. It turns into -2.

Change the denominator and numerator after that. Since -2 is actually -2/1, let's change it to -1/2. The perpendicular line's slope is that.

We must now make it pass through (-2,6). We just have a line like this to work with at the moment: y=-1/2x

Plugging in the x-coordinate of our target location, -2, yields y=-1/2(-2), or 1. But hold on, because the y-coordinate we were given is 6, shouldn't y be equal to 6 as well? Yes! The only thing left to do is to add 5 to get from 1 to 6!

The complete question  is,

Write an equation for a line perpendicular to y = 2 x − 1 and passing through the point (-2,6)

Write an equation for a line perpendicular to y=2x−1 and passing through the point (-2,6)

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let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly

\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)

Answer:

5/6, 0.83 or 83%

Step-by-step explanation:

Answer:

Probabilities

Decimal: \(0.91\)

Fraction: \(\frac{91}{100}\)

Percentage: \(91\)%

Step-by-step explanation:

Writing out information

2 comedy CDs

3 science-fiction CDs

7 adventure CDs

10 random CDs

22 total CDs

The chosen CD is not a comedy.

Solving probability for each

Decimals rounded to nearest 100th

Comedy:

\(2:22\\0.09\\\frac{2}{22}\)

Science-fiction:

\(3:22\\0.14\\\frac{3}{22}\)

Adventure:

\(7:22\\0.32\\\frac{7}{22}\)

Random:

\(10:22\\0.45\\\frac{10}{22}\)

Finding the total of the non-comedy

\(0.14+0.32+0.45=0.91\)

\(0.91=91\)%

Conclusion

Probabilities

Decimal: \(0.91\)

Fraction: \(\frac{91}{100}\)

Percentage: \(91\)%

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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Answer: To find A and B such that g(x) = f(x) is bijective, we need to ensure that g(x) satisfies the conditions for a bijective function, namely, that it is both injective and surjective.

To show that g(x) is injective, we need to show that for any distinct x1, x2 in A, g(x1) ≠ g(x2). We can do this by assuming that g(x1) = g(x2) and then showing that it leads to a contradiction.

So, let's assume that g(x1) = g(x2). Then, we have:

f(x1) = f(x2)

x1(x1-1) = x2(x2-1)

x1^2 - x1 = x2^2 - x2

x1^2 - x2^2 - x1 + x2 = 0

(x1 - x2)(x1 + x2 - 1) = 0

Since x1 and x2 are distinct, we must have x1 + x2 = 1.

But this is impossible, since x1 and x2 are both real numbers, and the sum of two real numbers cannot equal 1 unless one of them is complex. Therefore, our assumption that g(x1) = g(x2) must be false, and g(x) is injective.

To show that g(x) is surjective, we need to show that for any y in B, there exists at least one x in A such that g(x) = y. In other words, we need to find an expression for x in terms of y.

So, let's solve the equation f(x) = y for x:

x(x-1) = y

x^2 - x - y = 0

Using the quadratic formula, we get:

x = (1 ± √(1 + 4y))/2

Since we want to define g(x) on R, we need to ensure that the expression under the square root is non-negative. This means that 1 + 4y ≥ 0, or y ≥ -1/4.

Therefore, we can define A = [-1/4, ∞) and B = [0, ∞), and g(x) = f(x) is a bijective function from A to B.

Answer:

I did not know your answer sorry please

Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

The surface area of the figure shown is,

⇒ 204 cm²

We have o given that;

Upper cube has side = 3 cm

And, Lower cube has side = 5 cm

We know that;

Surface area of cube = 6a²

Hence,

The surface area of the figure shown is,

⇒ 6 × 3² + 6× 5²

⇒ 6 × 9 + 6 × 25

⇒ 54 + 150

⇒ 204 cm²

Thus, The surface area of the figure shown is,

⇒ 204 cm²

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Answer:

\(\large \boxed{\sf A) \ 12}\)

Step-by-step explanation:

Frequency of a specific data value at an interval is the number of times the data value repeats in that interval.

Cumulative frequency is found by adding each frequency to the frequency that came before it.

cStep-by-step explanation:

Step-by-step explanation:

given,

\( log_{7}(4) = 0.712 \\ log_{7}(12) = 1.277 \\ to \: find \: log_{7}( \frac{1}{3} ) \\ log_{7}( \frac{1}{3} ) = log_{7}( \frac{4}{12} ) \\ by \: logarithmic \: result \: log( \frac{a}{b} ) = log(a) - log(b) \\ implies \\ log_{7}( \frac{1}{3} ) \: = log_{7}(4) - log_{7}(12) \\ = 0.712 - 1.277 \\ = −0.565\)

I hope this is the answer.

pls mrk me brainliest, i rly worked hard on this i need to get the next rank

Answer:

a)This is a large enough sample to provide an accurate estimate of the American public's opinion on the issue.

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

Option D is the correct answer.

A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.

We have,

The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.

However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.

Thus,

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

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