given tu ij find the length of hj

The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.

Given that:

\(l = 2w\)

Divide both sides by 2

\(w = 0.5l\)

Equation of f(l)

The sum of the length and the width is represented as: f(l).

So, we have:

\(f(l) = l + w\)

Substitute \(w = 0.5l\)

\(f(l) = l + 0.5l\)

\(f(l) = 1.5l\)

See attachment for the graph of f(l)

The desired dimension

From the question, we understand that the total length is 12m.

This means that:

\(f(l) = 12\)

So, we have:

\(1.5l = 12\)

Divide both sides by 1.5

\(l = 8\)

Recall that:

\(w = 0.5l\)

\(w = 0.5 \times 8\)

\(w = 4\)

Hence, the desired length and width are 8m and 4m, respectively.

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Answer:

The error she made was multiplyng by 7. This would affect her calculations as 7 in percentage form is represented as 700%. The 700% interest would basically mean she owes 7 times the amount she borrowed. The correct number would be 0.07 because 0.07 represents 7% which is the interest. Another error that was made was multiplying 2 to the entire equation. The only thing that needs to be doubled is the interest as every year the interest takes 7%. The correct way would be to put 0.07*2 in paranthesis. The correct equation is

I = 600(0.07*2)

Answer:

40 ounces

Step-by-step explanation:

One foot = 12 inches

3 inches is 1/4 of a foot

Divide 10 pounds by 4 to get 2.5 pounds

Convert to ounces

Answer:

A) Yes, Rolle's Theorem can be applied!

Step-by-step explanation:

Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.

Here, for our continuous function \(f(x)=-x^2+2x\) over the closed interval \([0,2]\), we can tell that the function is clearly differentiable over the interval \((0,2)\) as \(f'(x)=-2x+2\), so we'll need to check if \(f(0)=f(2)\):

\(f(0)=-0^2+2(0)=0\\f(2)=-(2)^2+2(2)=-4+4=0\)

Next, we'll need to check if f'(x) = 0 for some x within the closed interval:

\(f'(x)=-2x+2=0\\-2x+2=0\\-2x=-2\\x=1\)

As x=1 is contained in [0,2] and the previous conditions were met, Rolle's Theorem can be applied!

Answer:

a) \(f(x) = 6x\)

if x = input

then the function of the input is to  "multiply the input by 6"

b)  \(f(x) = 2x - 3\)

the function of the input = two multiply by the input minus six

c) \(h(t) = t^3 - 5\)

the function of the input = the cube of the input minus five

Step-by-step explanation:

Given that:

a) \(f(x) = 6x\)

b) \(f(x) = 2x - 3\)

c) \(h(t) = t^3 - 5\)

The objective is to state in words the rule defined by each of the functions

We are being given the first question as a sample that:

a) \(f(x) = 6x\)

if x = input

then the function of the input is to  "multiply the input by 6"

b)  \(f(x) = 2x - 3\)

the function of the input = two multiply by the input minus six

c) \(h(t) = t^3 - 5\)

the function of the input = the cube of the input minus five

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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ok let me check

_______________________

Permutation

the order is important (in this case there are 4 captains in 4 positions)

P = n !

P= 4 *3 *2* 1 = 24

______________

Answer

choice c= 24

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Answer:

7 times

Step-by-step explanation:

In order to find the answer to this question you have to remember that when dealing with exponents you need to multiply the number to itself as many times as the exponent. In this case we have 2^3 we then need to multiply two by itself three times because three is it's exponent.

\(2^3 \times2^4\)

\(2^3=2\times2\times2\)

\(2^4=2\times2\times2\times2\)

\(2\times2\times2\times2\times2\times2\times2=\)

\(3+4=7\)

\(=7\)

Hope this helps.

Answer:

A)The required linear demand equation ( q ) = -4500p + 41500

B) $4.61

   $95680.55

C) No it would not have been possible by charging a suitable price

Step-by-step explanation:

A)  find the linear demand equation

given two points ; ( 3, 28000 ) and ( 5, 19000 )

slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )

                 = ( 19000 - 28000 ) / ( 5 - 3 )  = -4500

slope intercept is represented as ; y = mx + b

where y( 28000) = -4500(3) + b

  hence b = 41500  

hence ; y = -4500x + 41500

The required linear demand equation ( q ) = -4500p + 41500   ----- ( 1 )

p = price per ride

B ) Determine the price the company should charge to maximize revenue from ridership  and corresponding daily revenue

Total revenue ( R ) = qp

                               = p ( -4500p + 41500 )

  hence R = -4500p^2 + 41500p  ------ ( 2 )

To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p  to a quadratic equation R(p) = ap^2 + bp + c

where a = -4500 ,  b = 41500 , c = 0

hence p = \(-\frac{b}{2a}\)  = \(- \frac{41500}{2(-4500)}\) =  4.61

$4.61 is the price the company should charge to maximize revenue from ridership

corresponding daily revenue = R = -4500p^2 + 41500 p

where p = $4.61

hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55

C) No it would not have been possible by charging a suitable price

Answer:

38363

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the birdhouse is a cube that is 2 ft on each edge, the surface area is 6×2² = 24 ft². That's a pretty large birdhouse, and it will need about ¾ of a pint of paint.

Answer:You should check the proposed solution in the original equation.

Step-by-step explanation:

The radical is the symbol that is used to represent the root in the expression n√x. The correct option is C.

The radical is the symbol that is used to represent the root in the expression n√x.

You have solved a radical equation. Now, to check whether your proposed solution is​ correct You should check the proposed solution in the original equation.

Hence, the correct option is C.

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The probability value for the normal distribution is between 0 and 1 that is 0<Pr<0.3413

First, we need to get the z-value for both x-values

The formula for calculating the z-score is expressed as:

\(z=\frac{x-\mu}{\sigma}\)

If x = 36.3

\(z=\frac{36.3-36.3}{0.5}\\z=\frac{0}{0.5}\\z=0\)

Similarly, if x = 36.8

\(z=\frac{36.8-36.3}{0.5}\\z=\frac{0.5}{0.5}\\z=1.0\)

This shows that the z-value for the normal distribution is between 0 and 1 that is 0<z<1

The probability value for the normal distribution is between 0 and 1 that is 0<Pr<0.3413

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Answer:

Q1. Answer: According to the guidelines, the ratio of the rise (height) to the run (length) of a wheelchair ramp should be no greater than 1:12.

Option A: A ramp with a length of 30 feet and a height of 3 feet. The ratio of the rise to the run is 3/30 = 1/10, which is less than 1:12, so this ramp follows the guidelines.

Option B: A ramp with a length of 20 meters and a height of 0.5 meters. The ratio of the rise to the run is 0.5/20 = 1/40, which is less than 1:12, so this ramp follows the guidelines.

Option C: A ramp with a length of 384 inches and a height of 32 inches. The ratio of the rise to the run is 32/384 = 8/96 = 2/24, which is less than 1:12, so this ramp follows the guidelines.

Option D: A ramp with a length of 1 feet and a height of 12 feet. The ratio of the rise to the run is 12/1 = 12, which is not less than 1:12, so this ramp does not follow the guidelines.

Therefore, the ramps that follow the guidelines are options A, B, and C.

Q2. Answer: The guidelines for a wheelchair ramp suggest that the ratio of the rise (height) to the run (length) of the ramp should be no greater than 1:12. In this case, the rise is 2.5 feet and the run is the length of the ramp (x feet). The ratio of the rise to the run is 2.5/x.

To follow the guidelines, the ratio of the rise to the run should be no greater than 1:12, or 1/12. Therefore, the length of the ramp (x) should be greater than or equal to 2.5/1/12 = 30 feet.

Therefore, the correct answer is C: X ≥ 30.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since, ΔBCM ≅ ΔZYR,

∠B ≅ ∠Z

∠C ≅ ∠Y

∠M ≅ ∠R

And BC ≅ ZY

CM ≅ YR

BM ≅ ZR

a). CM = YR = 11 m

b). BM = RZ = 15 m

c). YZ = BC = 8 m

d). m∠B = m∠Z = 45°

e). m∠M = 180° - [m(∠B) + m(∠C)]

             = 180° - (45 + 103)°

             = 180° - 148°

             = 32°

f). m∠Y = m∠C = 103°

The side lengths are as follows: YZ is 8, BM is 15, and CM is 11. and angle B has a measure of 45 degrees. The angle C is 103 and the angle m is 32.

Congruent triangles are two triangles that are the same size and shape. They remain congruent if we flip, turn, or rotate one of two congruent triangles. If the sides of two triangles are the same, they must have the same angles and thus be congruent.

Congruent triangles have equal corresponding sides and angles

The measure of the side lengths are: YZ = 8,BM = 15 and CM = 11

The measure of the angles is angle B = 45. angle C = 103 and  angle m  =32

The given parameter is:

Tri angle BCM = Triangle ZYR

This means that triangles BCM and ZYR are congruent.

So, we have the following congruent sides

YZ = CB

BM = ZR

CM = YR

so, the measure of the side lengths are:

YZ = 8

BM = 15

CM = 11

Also, we have the following congruent angles

angle B = angle Z

angle C =  angle Y

angle M =  angle R

the measure of the angles are

angle B = 45

angle Y = 103

The measure of angle M is calculated using:

∠M + ∠C + ∠B = 180

∠M = 32

Therefore, The measure of the side lengths is: YZ is 8, BM is 15 and CM is 11. and The measure of the angles is angle B is 45. angle C is 103 and angle m  is 32.

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Based on the null hypotheses, the type of error is Decrease the significance level to decrease the probability of Type I error.

According to the given question, the null hypothesis is that the new diagnostic tool is not effective in detecting the condition.

Here the more consequential error described is that the diagnostic tool is not effective, but the significance test indicated that it is effective. This is a type I error.

And in Hypothesis testing, a type I error involves rejecting the null hypothesis and accepting the alternative hypothesis when in reality, the null hypothesis is true.

Therefore, it involves saying there is significant evidence to show that the new diagnostic tool is effective in detecting the condition when in reality, it isn't.

When the level of significance (α) of a hypothesis test directly gives the probability of a type I error. So, by setting it lower, we reduce the chances of a type I error.

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Step-by-step explanation:

d is my correct answer ..

On solving the provided question,  3√ 63 and 400% , so the answer is   \(3\sqrt{63} = 23.81\) is greater

This week, comparison questions—which require analysing similarities or differences across sets—are the sort of topic being discussed. Unknown difference: Estimating how much one set exceeds another is one form of comparison challenge.

Mathematicians refer to the process or method of comparing numbers as the use of their values to determine whether one number is less than, larger than, or equal to another. "," which means "less than," and "," which indicates "greater than," are the symbols used to compare numbers. "=" stands for "same."

here,

\(3\sqrt{63} = 23.81\)

and 400% =4

so \(3\sqrt{63} = 23.81\) is greater

\(3\sqrt{63} = 23.81\) > 400 %

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Answer:

6

Step-by-step explanation:

look

it up

Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

Jane has 6 - 14 - 12 = -20 boxes of beads left.

Jane initially had 6 boxes of beads.

She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.

To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.

First, let's calculate the total number of boxes used and given away:

Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister

Total boxes used and given away = 14 + 12

Total boxes used and given away = 26

Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:

Boxes left = Initial number of boxes - Total boxes used and given away

Boxes left = 6 - 26

Boxes left = -20

The result is -20, which implies that Jane has a deficit of 20 boxes of beads.

This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.

It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.

If the result were positive, it would represent the number of boxes remaining.

However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.

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a) The smallest number of tiles needed to make a square is 3.

b) The smallest number of tiles needed to make a square is 11.

a) To make a square using rectangular tiles that are 12 cm long and 4 cm wide, we need to find the side length of the square that is divisible by both 12 and 4. The smallest common multiple of 12 and 4 is 12, so a square with a side length of 12 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 12 cm ÷ 4 cm = 3.

Therefore, the smallest number of tiles needed to make a square is 3.

b) To make a square using rectangular tiles that are 11 cm long and 3 cm wide, we need to find the side length of the square that is divisible by both 11 and 3. The smallest common multiple of 11 and 3 is 33, so a square with a side length of 33 cm can be made.

To calculate the number of tiles needed, we divide the side length of the square by the length of each tile. In this case, 33 cm ÷ 3 cm = 11.

Therefore, the smallest number of tiles needed to make a square is 11.

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9514 1404 393

Answer:

  B)  K′ = (–2,2), L′ = (1,2), M′ = (1,–1), N′ = (–2,–1)

Step-by-step explanation:

Translation 2 units right adds 2 to the x-coordinate.

Translation 4 units upward adds 4 to the y-coordinate.

The translation can be represented by the relation ...

  (x, y) ⇒ (x +2, y +4)

__

You can choose the correct answer by looking at the translation of K.

  K(-4, -2) ⇒ K'(-4+2, -2+4) = K'(-2, 2) . . . . . matches choice B

The solutions to the questions are

The probability density function is given as:

f(x)= xe^ -x for x>0

The probability is represented as:

\(P(x) = \int\limits^a_b {f(x) \, dx\)

So, we have:

\(P(2 < x < 4) = \int\limits^4_2 {xe^{-x} \, dx\)

Using an integral calculator, we have:

\(P(2 < x < 4) =-(x + 1)e^{-x} |\limits^4_2\)

Expand the expression

\(P(2 < x < 4) =-(4 + 1)e^{-4} +(2 + 1)e^{-2}\)

Evaluate the expressions

P(2 < x < 4) =-0.092 +0.406

Evaluate the sum

P(2 < x < 4) = 0.314

Hence, the probability that X is between 2 and 4 is 0.314

This is represented as:

\(P(x > 3) = \int\limits^{\infty}_3 {xe^{-x} \, dx\)

Using an integral calculator, we have:

\(P(x > 3) =-(x + 1)e^{-x} |\limits^{\infty}_3\)

Expand the expression

\(P(x > 3) =-(\infty + 1)e^{-\infty}+(3+ 1)e^{-3}\)

Evaluate the expressions

P(x > 3) =0 + 0.199

Evaluate the sum

P(x > 3) = 0.199

Hence, the probability that X exceeds 3 is 0.199

This is calculated as:

\(E(x) = \int\limits^a_b {x * f(x) \, dx\)

So, we have:

\(E(x) = \int\limits^{\infty}_0 {x * xe^{-x} \, dx\)

This gives

\(E(x) = \int\limits^{\infty}_0 {x^2e^{-x} \, dx\)

Using an integral calculator, we have:

\(E(x) = -(x^2+2x+2)e^{-x}|\limits^{\infty}_0\)

Expand the expression

\(E(x) = -(\infty^2+2(\infty)+2)e^{-\infty} +(0^2+2(0)+2)e^{0}\)

Evaluate the expressions

E(x) = 0 + 2

Evaluate

E(x) = 2

Hence, the expected value of X is 2

This is calculated as:

V(x) = E(x^2) - (E(x))^2

Where:

\(E(x^2) = \int\limits^{\infty}_0 {x^2 * xe^{-x} \, dx\)

This gives

\(E(x^2) = \int\limits^{\infty}_0 {x^3e^{-x} \, dx\)

Using an integral calculator, we have:

\(E(x^2) = -(x^3+3x^2 +6x+6)e^{-x}|\limits^{\infty}_0\)

Expand the expression

\(E(x^2) = -((\infty)^3+3(\infty)^2 +6(\infty)+6)e^{-\infty} +((0)^3+3(0)^2 +6(0)+6)e^{0}\)

Evaluate the expressions

E(x^2) = -0 + 6

This gives

E(x^2) = 6

Recall that:

V(x) = E(x^2) - (E(x))^2

So, we have:

V(x) = 6 - 2^2

Evaluate

V(x) = 2

Hence, the variance of X is 2

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Answer:

no

Step-by-step explanation:

2:4 is 1:2, 6:16 is not one half

Answer:

No

Step-by-step explanation:

4/2=2

16/6=2.666666667

Answer:

$223,787

Step-by-step explanation:

r = 0.02

C = 191,000

t = 8

S = 191,000 (1 + 0.02)⁸

Follow order of operations (PEMDAS).

S = 191,000 (1.02)⁸

S = 191,000 (1.171659381)

S = 223,786.9

(We want to round to the nearest dollar, which is the ones place, so ignore all digits after the tenths place.)

Rounding, S = 223,787

Answer:

The answer is below

Step-by-step explanation:

Given that mean (μ) = 266 days, standard deviation (σ) = 16 days, sample size (n) = 16 women.

a) The mean of the sampling distribution of Xbar (\(\mu_x\)) is given as:

\(\mu_x=\mu=266\ days\)

The standard deviation of the sampling distribution of Xbar (\(\sigma_x\)) is given as:

\(\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{16}{\sqrt{16} }=4\)

b) The z score is a measure in statistics used to determine by how much the raw score is above or below the mean. It is given by:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} }\)

For x > 270 days:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{270-266}{\frac{16}{\sqrt{4} } }=1\)

The probability the average pregnancy length exceed 270 days = P(x > 270) = P(z > 1) = 1 - P(z < 1) = 1 - 0.8413 = 0.1587 = 15.87%

Answer:

B) Jet ski rental costs $20 initially plus $15 for each hour.

Step-by-step explanation:

The equation of a line has the following format:

\(y = mx+b\)

In which m is the slope, which having two points on the line, is given by the change in y divided by the change in x, and b is the y-intercept, which is the value of y when \(x = 0\).

Passes through point Y (0, 20):

This means that \(b = 20\). So

\(y = mx+20\)

Slope:

Through points (0,20) and (4,80). So

Change in y: 80 - 20 = 60

Change in x: 4 - 0 = 4

Slope: 60/4 = 15

So

\(y = 15x+20\)

Situation:

We want a situation in which we have a fixed fee of 20, and then for each unit of time or of the product, and increase of 15. So the correct option is B