If the area of a rectangle is 100, then the length is 25 and the width is 4

Answer:

1/3

Step-by-step explanation:

13/39 = 1/3

Answer:

It is 1/3

Step-by-step explanation:

because 13/39=1/3

The correct statement is:

The t-statistic or t-ratio is used to test the statistical significance of each β_i in a regression model.

The t-statistic is calculated by dividing the difference between the sample mean and the hypothesized population mean by the standard error of the sample mean.

The formula for the t-statistic is as follows:

t = (sample mean - hypothesized population mean) / (standard error of the sample mean)

The t-statistic or t-ratio is used to test the statistical significance of each β_i (regression coefficient) in a regression model. It measures the ratio of the estimated coefficient to its standard error and is used to determine if the coefficient is significantly different from zero.

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Answer:

-4

Explanation:

Given any quadratic function of the form:

Its discriminant is obtained by using the formula:

Comparing our given equation with the form of a quadratic above, we have:

Therefore, the discriminant will be:

The value of the discriminant for the given quadratic is -4.

Answer:

12.8

Step-by-step explanation:

tan(theta) = opposite/adjacent

in this question, theta should be 59 deg, opposite is EF which is x, and adjacent is DE which is 7.7

So plug in these data

tan(59deg) = x/7.7 ==> x = 7.7 * tan(59deg) ~~12.8

Answer:

66

Step-by-step explanation:

Step-by-step explanation:

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Answer:

  PEMDAS or BIDMAS

Step-by-step explanation:

You want to know how to remember the order of operations.

Commonly used acronyms for the Order of Operations are ...

  PEMDAS

  BIDMAS

The letters of these stand for ...

  P, B — parentheses or brackets

  E, I — exponents or indices

  M, D — multiplication and division

  A, S — addition and subtraction

Expressions enclosed in grouping symbols (parentheses or brackets) have the highest precedence. They are evaluated first, according to the order of operations.

Exponents (indices) are evaluated next. A sequence of exponent operations, such as a^b^c is evaluated right to left, as a^(b^c), unless parentheses modify the order.

Because exponents and indices have a higher precedence than other arithmetic operations, something like 2^3x is evaluated as (2^3)x, not 2^(3x), and √2p is (√2)p, not √(2p). It is fairly common to see a square root erroneously written as 3^1/2 = (3^1)/2 = 3/2 when 3^(1/2) = √3 is intended.

Multiplication and division have the same precedence. Even though M precedes D (or D precedes M, depending on which acronym you use), they are evaluated in order of appearance left to right. As with exponents, a common error is forgetting to put parentheses around numerators and denominators. For example, 3/2π is different from 3/(2π).

Similarly, addition and subtraction have the same precedence and are evaluated in order of appearance, left to right.

The composition (ring) operator (∘) is used to signify a sequence of functional or transformation operations. For example (f∘g)(x) is the composition of functions f and g. The functions or transformations in a composition are evaluated right to left:

  (f∘g)(x) = f(g(x))

Operations performed on functions can be written in confusing ways. For example, ...

  \(y = f^{-1}(x)\qquad\text{means }x=f(y),\text{ not }y=\dfrac{1}{f(x)}\)

The notation using a positive exponent stands in contrast:

  \(\sin^4(x)\qquad\text{usually means }(\sin(x))^4,\text{ not }\sin(\sin(\sin(\sin(x))))\)

On the other hand, an exponent applied to a function name can mean recursive application of the function, as in sin²( ) = sin(sin(...)). It can also mean an n-th derivative. Context is important in such situations.

(a) the expected value of the amount you win 2/9 , (b) the variance of the amount you win 5/18 , c) The expected value of the amount you win is -$0.0667 and d)The variance of the amount you win is 1.2898.

Let's calculate the expected value and variance of the amount you win step by step:

a) Calculate the probability of drawing two marbles of the same color.

First, calculate the probability of drawing two red marbles:

P(RR) = (5/10) * (4/9) = 20/90 = 2/9

Similarly, calculate the probability of drawing two blue marbles:

P(BB) = (5/10) * (4/9) = 20/90 = 2/9

b) Calculate the probability of drawing two marbles of different colors.

P(RB) = (5/10) * (5/9) = 25/90 = 5/18

P(BR) = (5/10) * (5/9) = 25/90 = 5/18

c) Calculate the expected value.

The expected value (EV) is calculated by multiplying each outcome by its probability and summing them up.

EV = (P(RR) * $1.10) + (P(RB) * -$1.00) + (P(BR) * -$1.00) + (P(BB) * $1.10)

= (2/9 * $1.10) + (5/18 * -$1.00) + (5/18 * -$1.00) + (2/9 * $1.10)

= $0.2444 - $0.2778 - $0.2778 + $0.2444

= -$0.0667

Therefore, the expected value of the amount you win is -$0.0667.

d) Calculate the variance.

The variance is a measure of the dispersion of the outcomes around the expected value. It is calculated as the sum of the squared differences between each outcome and the expected value, weighted by their probabilities.

Variance = (P(RR) * ($1.10 - EV)²) + (P(RB) * (-$1.00 - EV)²) + (P(BR) * (-$1.00 - EV)²) + (P(BB) * ($1.10 - EV)²)

Variance = (2/9 * ($1.10 - (-$0.0667))²) + (5/18 * (-$1.00 - (-$0.0667))²) + (5/18 * (-$1.00 - (-$0.0667))²) + (2/9 * ($1.10 - (-$0.0667))²)

= (2/9 * $1.1667²) + (5/18 * -$0.9333²) + (5/18 * -$0.9333²) + (2/9 * $1.1667²)

= 1.2898

Therefore, the variance of the amount you win is 1.2898.

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Answer:the percent change in the puppy's weight= 275%

Step-by-step explanation:

Jillian's puppy Weight  at 2 months  =16 pounds

Jillian's puppy Weight  at 8 months  =60 pounds

percent change in the puppy's weight= change in weight / Old weight  x 100

(60 pounds -16pounds ) / 16  x 100

44/16 x 100  = 275%

In a rhombus, all sides are equal and the diagonals intersect each other at a 90 degree angle and bisect each other.  

Diagonal of a rhombus bisects the angles of the rhombus at the vertex.

So as m∠MNL is 120°,

∠MNO = ∠LNO = 120/2 = 60°

The diagonals intersect each other at a 90 degree angle, therefore

m∠MON = 90°

Considering ΔMNO, right angled at O.

cos(∠MNO) = NO/ MN

cos(60) = NO/ 8

NO = 0.5×8 = 4

NP = NO + OP

NP = 2NO

NP = 2×4

NP = 8 in

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Answer:

13 inches

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

16 student volunteers and 5 faculty volunteers will make up the four-person student-faculty government committee. the probability of the likelihood that the following members will be on the committee:

A) All academic staff

Probability is equal to 5C4 / 21C4 or 5/5985.

The likelihood that the committee will be made up of only academics is 0.000835.

b) Two pupils and two professors equal (16C2 x 5C2) / 21C4.

There is a 0.40100 chance that the committee will be made up of two students and two faculty members.

b) All pupils = 16C4 / 21C4 = 1820 / 5985

The likelihood that every student will be represented on the committee is 0.30409

d) Three students and one professor equal 5c1 * 16c3 / 21c4 or 5 * 560 / 5985.

There is a 0.46783 percent chance that the committee will be made up of one professor member and three students.

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Answer:

The total answer is $14.16 because the tip would be $2.16 so add it with 12 and you get $14.16.

The median of the trapezoid is = 17

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It has parallel sides which are known as the bases.

The base of the trapezoid(B1) =14

The base of the trapezoid (B2) = 20

To calculate the median = half the sum of the base of the trapezoid given.

Therefore,

14+20/2

34/2= 17

Therefore, the median of the trapezoid is = 17

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Answer:

rational

Step-by-step explanation:

If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.       hope that helped

I don't say you have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....

Answer:

c = 0

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*(2*c)-((62)*c)=0

Step by step solution :

STEP

1:

Solving a Single Variable Equation:

1.1      Solve  :    -50c = 0

Multiply both sides of the equation by (-1) :  50c = 0

Divide both sides of the equation by 50:

                    c = 0

Answer:

Step-by-step explanation:

6x(2xc)=(6x2)xc

Keep in mind that the dot is a multiplcation sign too if you don't know that.

6(2xc)=(6x2)c

12c=12c

c=1

Answer:

Your answers are correct; decreases by 31.50

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

The area of the rectangle should be written as 0.682 m². To determine the area of a rectangle, you multiply its length by its width. The length of the rectangle is 1.125 m, and the width is 0.606 m.

Area of rectangle = length x widthA = 1.125 m x 0.606 mA = 0.68175 m²Now, rounding the answer to the correct number of significant figures, which is 3. The digit after the third significant figure is 7 which is greater than 5, therefore the third digit should be rounded up. So the final answer will be 0.682 m².

Thus, the long answer to this question is: After multiplying the length and width of a rectangle of dimensions 1.125 m and 0.606 m respectively, the product obtained from the calculator is 0.68175. To find the area of the rectangle, we use the formula A = l × w, which gives A = 1.125 m × 0.606 m = 0.68175 m². Rounding this answer to 3 significant figures, we find that the third digit is 1 which is greater than 5. Therefore, we must round the third digit up to get the final answer of 0.682 m².

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Answer:

(in degrees)

x = 15.09478709

Step-by-step explanation:

sin(x) = 25/96

The equation relating the total charge C to the number of  miles driven M is: C = 20.75 + 0.75M

To find the equation relating the total charge C (in dollars) to the number of miles driven M, we need to add the standard charge S and the insurance charge I.

The standard charge S is given by the function S = 14.95 + 0.60M.

The insurance charge I is given by the function I = 5.80 + 0.15M.

To obtain the total charge C, we add S and I:

C = S + I

C = (14.95 + 0.60M) + (5.80 + 0.15M)

Simplifying the expression, we combine like terms:

C = 14.95 + 0.60M + 5.80 + 0.15M

C = (14.95 + 5.80) + (0.60M + 0.15M)

C = 20.75 + 0.75M

Therefore, the equation relating the total charge C to the number of  miles driven M is: C = 20.75 + 0.75M

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The value of sin 2θ is 120/169, for the given value of cosine θ = 5/13, which is obtained using the Pythagorean-identity.

We know that :sin²θ + cos²θ = 1.

Using this identity, we can solve for sin θ as follows:

cos θ = 5/13

sin²θ + cos²θ = 1

We are to calculate trigonometric ratio sine 2θ.

We know that sin 2θ = 2 sin θ cos θ.

To calculate sin θ, we will use the Pythagorean identity,

sin²θ + cos²θ = 1

Since  trigonometric ratio cos θ = 5/13,

sin θ = √(1 - cos²θ)

        = √(1 - 25/169)

        = √(144/169)

         = 12/13

Therefore,sin 2θ = 2 sin θ cos θ

                           = 2 × (12/13) × (5/13)

                            = 120/169

Therefore, the value of sin 2θ is 120/169.

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Answer:

4.32

Step-by-step explanation:

Call the unknown number = x

We have: 1000x = 4320

=> x = \(\frac{4320}{1000}\) = 4.32

=> The number we need to find is 4.32

Answer:

4.32

Step-by-step explanation:

Step-by-step explanation:

uhm how do i help?

Answer:

umm the answer is actually 43...

8/5 = 1 3/5

(5 x 1 = 5 + 3 = 8, to get 8/5)

13/12 = 1 1/12 (12 x 1 = 12 + 1 = 13, to get 13/12)

Hope this helped! :D

Answer:

y=3x-12

Step-by-step explanation:

We can simply apply the formula;

\(y = y1 = m(x - x1)\)

When x1 and y1 are points on the line and m is the gradiant

Hence,

\(y - ( - 3) = 3(x - 3)\)

\(y + 3 = 3x - 9\)

Hence when arranging to yields:

\(y = 3x - 12\)

Hopefully this helps!! :)

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The ROI per unit for Jaymes Corporation's rotors is $200.

To calculate the ROI per unit, we need to divide the total return on investment by the number of units produced. In this case, the company has invested $6,000,000 to produce 30,000 rotors.

ROI per unit = Total ROI / Number of units produced

Total ROI = $6,000,000

Number of units produced = 30,000

ROI per unit = $6,000,000 / 30,000 = $200

Therefore, the ROI per unit for Jaymes Corporation's rotors is $200. This means that for every rotor produced, the company expects to generate a return of $200.

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Relying solely on statistics on real GDP during World War II may give a misleading indication of prosperity. It is crucial to consider a broader range of indicators and factors, such as living standards, employment conditions, social well-being, and the overall human experience, to assess the true impact of the war on the economy and society.

Statistics on real GDP during World War II may give a misleading indication of whether it was a period of prosperity because GDP measures the total value of goods and services produced within a country's borders, but it does not capture the full picture of economic well-being and quality of life.

During World War II, the increased production of military goods and services significantly boosted GDP. The war effort led to a surge in government spending, mobilization of resources, and expansion of industries related to defense production. This contributed to a substantial increase in GDP figures, creating the appearance of economic growth and prosperity.

However, it is essential to consider the context and the underlying factors that influenced these GDP numbers. World War II was a time of conflict and immense human suffering. The war resulted in widespread destruction, loss of life, displacement, and significant social and economic disruptions. Resources were redirected towards war production, which often came at the expense of civilian consumption and investment.

Furthermore, GDP does not account for the distribution of wealth and income. While some sectors of the economy thrived during the war, others faced hardships and scarcity. Rationing and resource allocation measures were implemented, which limited the availability of consumer goods for the general population. Additionally, the impact of inflation and wartime price controls can distort the true economic conditions experienced by individuals and households.

Moreover, the human cost of war cannot be captured by GDP alone. The loss of lives, physical and emotional trauma, and long-term social and economic consequences cannot be adequately reflected in GDP figures.

Therefore, relying solely on statistics on real GDP during World War II may give a misleading indication of prosperity. It is crucial to consider a broader range of indicators and factors, such as living standards, employment conditions, social well-being, and the overall human experience, to assess the true impact of the war on the economy and society.

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The solution to the exponential functions are

a) The function f ( x ) = 300 ( 0.87 )ˣ

b) The function g ( x ) = 100 ( 1.13 )ˣ

c) The value of x = 6

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the function be represented as f ( x ) and g ( x )

So , the function f ( x ) is decreasing at a rate of 13 %

Substituting the values in the equation , we get

f ( x ) = 300 ( 1 - 0.13 )ˣ

On simplifying the equation , we get

f ( x ) = 300 ( 0.87 )ˣ

And , the function g ( x ) is increasing at a rate of 13 %

Substituting the values in the equation , we get

g ( x ) = 100 ( 1 + 0.13 )ˣ

On simplifying the equation , we get

g ( x ) = 100 ( 1.13 )ˣ

And , the approximate value when f ( x ) = g ( x ) is

300 ( 0.87 )ˣ = 100 ( 1.13 )ˣ

On further simplification , we get

3 ( 0.87 )ˣ = ( 1.13 )ˣ

Taking logarithm on both sides of the equation , we get

ln ( 5 ) + x ln ( 0.87 ) = x ln ( 1.13 )

And , x [ ln ( 1.13 ) - ln ( 0.87 ) ] = ln ( 5 )

On further simplification , we get

x = ln ( 5 ) / [ ln ( 1.13 ) - ln ( 0.87 ) ]

x = 6.15

x = 6

Hence , the exponential equations are solved

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