What is 5. 35 as a decimal in simplest form

Answer:

24.5%

Step-by-step explanation:

Given

P(Off-Campus) = 0.30

P(Part-Time Job | Off-Campus) = 0.62

P(Part-Time Job | On-Campus) = 0.65

Inferred

P(On-Campus) = 0.70

P(No Part-Time Job | Off-Campus) = 0.38

P(No Part-Time Job | On-Campus) = 0.35

Calculation

P(No Part-Time Job | On-Campus) = P(No Part-Time Job ∩ On-Campus)/P(On-Campus)

0.35 = P(No Part-Time Job ∩ On-Campus)/0.70

0.245 = P(No Part-Time Job ∩ On-Campus)

Therefore, 24.5% of students that live on campus do not have a part-time job.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.

Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.

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Answer:

-.5

Step-by-step explanation:

Answer:

B=0.5 or 1/2

its correct please give brainliest!!!

Answer:

\(\frac{16}{10000}\)

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

the sum of the values of a and b such that f(x) = \(2ax^2 + bx + 3\) has a relative extremum at the point (-1,2) is 2.5.

If the function f(x) = \(2ax^2 + bx + 3\) has a relative extremum at the point (-1,2), then the derivative of the function must be zero at x = -1. This is because at a relative extremum, the slope of the tangent line is zero.

So, we need to find the derivative of f(x) and set it equal to zero at x = -1:

f'(x) = 4ax + b

f'(-1) = 4a(-1) + b = -4a + b = 0

Solving for b, we get:

b = 4a

Now, to find the sum of a and b, we just need to substitute b = 4a into the expression for f(x) and use the fact that f(-1) = 2:

f(x) = \(2ax^2 + bx + 3\)

f(-1) = \(2a(-1)^2 + b(-1) + 3 = 2\)

Substituting b = 4a, we get:

2a(1) - 4a + 3 = 2

2a - 4a + 3 = 2

-2a = -1

a = 1/2

Then, using b = 4a, we get:

b = 4(1/2) = 2

So, the sum of a and b is:

a + b = 1/2 + 2 = 2.5

Therefore, the sum of the values of a and b such that f(x) = \(2ax^2 + bx + 3\)has a relative extremum at the point (-1,2) is 2.5.

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Answer:

12

Step-by-step explanation:

G(2)= 2^2 +4(2)

Solve via order of operations

G(2)=4 +8

G(2)=12

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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Given,

Let

where, x,a and b are numbers.

The statement means that when x is multiplied by itself a times, the answer is b.

So, x^0 means that x is multiplied by itself zero times. Multiplying by zero times implies that no factors are multiplied together.

In mathematics, multiplying a number by nothing is the same as multipying the number by 1. Therefore,

A. 1 and 7 and

2 and 8 alternate exteriora

Answer:

∠1 and ∠7, ∠2 and ∠8

Step-by-step explanation:

Alternate exterior angles are on the exterior of the lines and on opposite sides of the transversal.

Answer: 65

Step-by-step explanation:

65 divided by 13 or 13 x 5

Answer:

c is the right answer

Step-by-step explanation:

okk how are u ?

The statement (C) "While long-term bonds have more risks associated with them, they have the potential to bring in higher returns for the initial investment" is correct.

Long-term bonds keep an investor's money locked up for a longer period than a short-term bond, giving the bond's price more time to be impacted by changes in interest rates and inflation.

As we know,

The fact that short-term bonds offer lower interest rates than long-term bonds is a drawback.

Long-term bonds have a larger chance of receiving higher rates since there is a bigger likelihood that interest rates will rise over time.

Bonds with a long term are often those that investors hold for almost ten years.

Thus, the statement (C) "While long-term bonds have more risks associated with them, they have the potential to bring in higher returns for the initial investment" is correct.

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Answer:

Step-by-step explanation:

The time taken for Maria to do the job by herself is 3/4 of a hour which is 45 minutes.

It should be noted that it was stated that Maria and her little sister Anita used 1/2 of an hour to shovel the snow off of the sidewalks on their street and that this is 2/3 of the time it takes Maria to do the same job by herself.

Therefore, the time taken for Maria to do the job will be represented by x

Therefore, 2/3x = 1/2

Divide

x = 1/2 ÷ 2/3

x = 1/2 × 3/2

x = 3/4

Therefore, the time taken for Maria to do the job by herself is 3/4 of a hour which is 45 minutes.

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Answer:

ubeovgtnwjggswgtepibvqyytkhfhduygvtqyaccjvgvdbbetedgtdgyegghjgdbecdkbfbgdhebhjegeckgbkhbeiubuvvsakvhfe

Step-by-step explanation:

hrtrrrrrrrrrrrrrrrrhhhhhhrhhhhhhhhhhhhhhhhhhhhhhhhhhhhrhhrhhrrhhhrhhhhh

Answer:

the equation y=mx+b

The y intercept is the point on a line that passes through the y line.

To solve the y intercept, solve y=mx+b.

m being slope

y being a y point

x being a x point

and b being y intercept.

Step-by-step explanation:

Answer:

Step-by-step explanation:

o prove the first associative law of set theory, we need to show that for any sets A, B, and C:

A ∪ (B ∪ C) = (A ∪ B) ∪ C

To do this, we need to show that any element that is in the left-hand side of the equation is also in the right-hand side, and vice versa.

First, let's consider an arbitrary element x.

If x ∈ A ∪ (B ∪ C), then x must be in A, or in B, or in C (or in two or more of these sets).

If x ∈ A, then x ∈ A ∪ B, and so x ∈ (A ∪ B) ∪ C.

If x ∈ B, then x ∈ B ∪ C, and so x ∈ A ∪ (B ∪ C), which means that x ∈ (A ∪ B) ∪ C.

If x ∈ C, then x ∈ B ∪ C, and so x ∈ A ∪ (B ∪ C), which means that x ∈ (A ∪ B) ∪ C.

Therefore, we have shown that if x ∈ A ∪ (B ∪ C), then x ∈ (A ∪ B) ∪ C.

Next, let's consider an arbitrary element y.

If y ∈ (A ∪ B) ∪ C, then y must be in A, or in B, or in C (or in two or more of these sets).

If y ∈ A, then y ∈ A ∪ (B ∪ C), and so y ∈ (A ∪ B) ∪ C.

If y ∈ B, then y ∈ A ∪ B, and so y ∈ A ∪ (B ∪ C), which means that y ∈ (A ∪ B) ∪ C.

If y ∈ C, then y ∈ (A ∪ B) ∪ C.

Therefore, we have shown that if y ∈ (A ∪ B) ∪ C, then y ∈ A ∪ (B ∪ C).

Since we have shown that any element that is in the left-hand side of the equation is also in the right-hand side, and vice versa, we can conclude that:

A ∪ (B ∪ C) = (A ∪ B) ∪ C

This proves the first associative law of set theory.

Answer:

Step-by-step explanation:

Total Installment Price:

The total installment price is the sum of all monthly payments made over the duration of the loan.

Total Installment Price = Monthly Payment * Number of Months

Total Installment Price = $558.16 * 48

Total Installment Price = $26,766.88

Finance Charge:

The finance charge is the total amount paid for borrowing the money, excluding the principal amount.

Finance Charge = Total Installment Price - Loan Amount

Finance Charge = $26,766.88 - $24,000

Finance Charge = $2,766.88

Finance Charge per $100 financed:

To calculate the finance charge per $100 financed, we divide the finance charge by the loan amount and then multiply it by 100.

Finance Charge per $100 financed = (Finance Charge / Loan Amount) * 100

Finance Charge per $100 financed = ($2,766.88 / $24,000) * 100

Finance Charge per $100 financed = 11.53

APR (Annual Percentage Rate):

The APR represents the annualized cost of borrowing, including both the interest rate and any other fees or charges.

To calculate the APR, we need to use the formula for APR and solve for the interest rate (r).

APR = (2 * (r/12) * (Total Installment Price - Loan Amount)) / (Loan Amount + Total Installment Price)

Let's solve for r:

APR = (2 * (r/12) * ($26,766.88 - $24,000)) / ($24,000 + $26,766.88)

APR = (2 * (r/12) * $2,766.88) / $50,766.88

Simplifying the equation further:

APR = (r * $2,766.88) / $50,766.88

We can solve for r by multiplying both sides by ($50,766.88 / $2,766.88):

APR * ($50,766.88 / $2,766.88) = r

APR * 18.36 = r

Hence, the APR is equal to the interest rate (r) multiplied by 18.36.

Please provide the APR rate to calculate the value of r.

Step-by-step explanation:

(y-(-5))/(x-2) = 4

(y+5)/(x-2) = 4

y+5 = 4x - 8

y = 4x - 13

The ratio of two polynomial functions with a non-zero denominator is known as a rational function. R(x) = P(x)/Q(x), where P(x) and Q(x) are polynomial functions, is the typical way to describe it. We studied the idea of the rational number in previous grades. It is the ratio or product of two integers with a non-zero denominator. As a result, the word ratio is where the name rational comes from.

a. A rational function with a hole at x = 1 and a vertical asymptote at x = -3 can be written as:

(x-1)/(x+3)

b. A rational function with a vertical asymptote at x = -2 and a horizontal asymptote at y = 3 can be written as:

(x+2)/(x+2) = 3

c. A rational function with an oblique asymptote y = x+1 but no vertical asymptote can be written as:

(x-1)/(x-1) = x+1

d. A rational function with a vertical asymptote at x = 3 and f(x) > 0 can be written as:

(x-3)/(x-3) > 0

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Answer:

(x + 1)^2 + (y + 5)^2 = 169

Step-by-step explanation:

The equation of a circle centered at (h,k) with radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

To find the equation of the circle, we first need to find the center and the radius.

Given that the circle is centered at (-1,-5), h = -1 and k = -5.

Next, we need to find the radius. To do this, we use the point (0,-18) that lies on the circle and use the distance formula:

r = sqrt[ (0-(-1))^2 + (-18-(-5))^2 ] = sqrt[ 1^2 + (13)^2 ] = sqrt[1 + 169] = sqrt[170] = 13

So, the equation of the circle is:

(x + 1)^2 + (y + 5)^2 = 13^2

Therefore, the equation of the circle centered at (-1,-5) that passes through (0,-18) is:

(x + 1)^2 + (y + 5)^2 = 169

Answer:

The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.

Answer:

For example, 8f + 4g is one of the most used expression

Another example is 4 (2f + g), is correct too

Answer:

\(\sf g = 13.18 \ units\)

explanation:

the "g" refers to the opposite side of angle G

First solve for angle E:

E + 60° + 45° = 180°

E = 180° - 105°

E = 75°

Then using sine rule:

\(\sf \dfrac{a}{sin(A)} = \dfrac{b}{sin(B)}\)

\(\rightarrow \sf \dfrac{18}{sin(75)} = \dfrac{g}{sin(45)}\)

\(\rightarrow \sf \dfrac{18*sin(45)}{sin(75)} = g\)

\(\rightarrow \sf g = 13.18 \ units\)

The reflection of the point (–4, 6) across both axes is (b) (4, -6)

From the question, we have the following parameters that can be used in our computation:

Point = (-4, 6)

The rule of reflections across both axes is

(x, y) = (-x, -y)

Using the above as a guide, we have the following:

Image = (4, -6)

Hence, the reflection of the point (–4, 6) across both axes is (b) (4, -6)

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Answer:

y=1/2x-21/2

Step-by-step explanation:

f(x) contains (3, -9) and (-1, -11)

slope : (-9-(-11)))/(3-(-1))

2/4=1/2

slope : 1/2

y=1/2x+b

-9=3/2+b

b=-21/2

y=1/2x-21/2

Dividing the profit ratio after two years into equal portions for A and B is 9:2.

Ratios frequently appear in daily life and, by putting numbers into perspective, help to systematize many of our interactions. By making quantities easier to comprehend, ratios enable us to measure as well as express quantities.

One of the most typical ways to write a ratio with a colon as a the whole comparison, like in the example above with the children and adults. Ratios can also be expressed as a fraction because they are straightforward division problems.

Given data:

Investments by A = 90,000

Investments by B = 20,000

ratio of profit after 2 years:

profit of A /  profit of B = Investments by A / Investments by B

profit of A /  profit of B =  90,000 / 20,000

profit of A /  profit of B = 9/2

Thus, dividing the profit after two years into equal portions for A and B is 9:2.

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Complete question:

A and B started a business investing Rs. 90,000 and Rs 20,000

respectively. In what ratio the profit earned after 2 years be divided

between A and B respectively?

Answer:

Step-by-step explanation:

120 +-20 =(100 ; 140) -> X±k*σ= 100 =>k=1

According to Chebyshev, approximately 66.67% of the data lie within one standard deviation of the mean

->66.67%*560 = 373 products in (100;140)

Answer:

\(KL = \boxed{31.78}\)

Step-by-step explanation:

\( \boxed {IJ=9, \: JK=11 \: and \: IL \: is \: 26 } \\then \to \\ \boxed{ K = \frac{11}{J} \: and \: L = \frac{26}{I} \: and \: I = \frac{9}{J}} \\ hence \to \\ \boxed{KL = \frac{11(26)}{J(I)} = \frac{286}{J \frac{9}{J} } } = \frac{286}{9} = \boxed{31.78}\)