SOLVE THIS PROBLEM ASAP PLS

Conversion factor is the term that is to be multiplied to a variable when converting between units. The conversion factor is: \(2.20lbs /kg\)

Given that:

\(54kg \to x\ lbs\)

From standard unit of conversion:

\(1kg = 2.20lbs\)

So, we have:

\(54kg \to x\ lbs\)

\(1kg = 2.20lbs\)

Cross multiply

\(54kg \times 2.20lbs = xlbs \times 1kg\)

Divide both sides by 1kg

\(54kg \times 2.20lbs /kg= xlbs\)

Rewrite as:

\(x = 54kg \times 2.20lbs /kg\)

Hence, the conversion factor is: \(2.20lbs /kg\)

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Answer:

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

Step-by-step explanation:

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

this set represent a function because there is one input (x) for the output(y)

(no repetition for x)

Answer:

linear

Step-by-step explanation:

We can write this  in the form

y = mx+b

where m is the .75 per mile and b is the 39 dollars

y = .75x + 39

The length of the equilateral triangle = 4.8m

Given that,

The area of the equilateral triangle = 10.2 m²

The formula for the area of an equilateral triangle = \(\sqrt{3} /4 a^{2}\)

Therefore,  

\(\sqrt{3} /4 a^{2}\) = 10.2

\(a^{2}\) = 10.2 × \(4/\sqrt{3}\)

\(a^{2}\) = 10.2 × 4/ 1.732

\(a\) = 4.85

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To find the coordinates of the centroid for the region bounded by the curves y=16x, y=9/x, y=0, and x=10, we need to calculate the x-coordinate and y-coordinate of the centroid separately. First, let's find the x-coordinate of the centroid.

We can use the formula: x-bar = (1/A) ∫[a,b] xf(x) dx, where A is the area of the region. The intersection points of the curves y=16x and y=9/x can be found by setting the equations equal to each other: 16x=9/x.

Solving this equation, we get x=±√(9/16)=±3/4. Since the region is bounded by x=10, we take the positive value x=3/4. To find the area A, we integrate the difference between the curves: A=∫[3/4,10] (16x-9/x) dx. Evaluating this integral, we find A=400-9ln(10).

Now we can calculate the x-coordinate of the centroid: x-bar=(1/A) ∫[3/4,10] x(16x-9/x) dx. Simplifying the integral and evaluating it, we get x-bar=(8160-36ln(10))/(400-9ln(10)). Next, let's find the y-coordinate of the centroid.

Since the region is symmetric about the x-axis, the y-coordinate of the centroid will be y-bar=0. Therefore, the exact coordinates of the centroid for the given region are: (x-bar, y-bar)=((8160-36ln(10))/(400-9ln(10)), 0).

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Answer: 5:1

Step-by-step explanation:

25:5

Divide by 5 both sides

5:1

To calculate the p-value, we have to follow the following steps:

To calculate the p-value, we need

p = sample proportion

p' = assumed population proportion in the null hypothesis

n = sample size

Example

Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.

σₓ = σ/ √n

σₓ = 32.17 / √40

    = 5.0865

Now, by applying the test static formula, we get

t = (105.37 – 120) / 5.0865

t = -2.8762

Using the table, we find the value of P(t>-2.8762)

From the table, we get

P (t<-2.8762) = P(t>2.8762) = 0.003

If P(t>-2.8762) = 1- 0.003 = 0.997

P- value = 0.997 > 0.05

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Answer:

x = 67.5 degrees

Step-by-step explanation:

this is an octagon which has 8 sides

the sum of all interior angles can be found by taking the number of sides, reducing it by 2, and then multiplying by 180

(8-2)*180 = 6(180) = 1080

the 1080° must be split equally among all 8 angles because it is a 'regular' polygon

1080/8 = 135

however, 'x' represents half of each regular angle so it is 67.5 degrees

Answer:

-5

Step-by-step explanation:

Answer:

-5 is the answer

Step-by-step explanation:

-5 is the answer

The unit vector in the same direction as v = 5i - 12j is (5i - 12j)/13 and the magnitude of this new unit vector is 1 is verified.

To find the unit vector in the same direction as a given vector, we first need to find the magnitude of the vector. The magnitude of a vector is the square root of the sum of the squares of its components. For the given vector v = 5i - 12j, the magnitude is:

|v| = √(5² + (-12)²) = √(25 + 144) = √169 = 13

To find the unit vector in the same direction as v, we divide v by its magnitude:

u = v/|v| = (5i - 12j)/13

This gives us the unit vector in the same direction as v. To verify that the magnitude of this new unit vector is 1, we need to find its magnitude:

|u| = √[(5/13)² + (-12/13)²] = √(25/169 + 144/169) = √(169/169) = 1

Therefore, the magnitude of the new unit vector is indeed 1, which confirms that it is a unit vector in the same direction as v.

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The length of the line segment NO would be 15 inches.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A triangle JKL having side lengths JK = 20 inches, KL = 25 inches, and JL = 32 inches.

Now, A new triangle JNO is formed by dilating triangle JKL by a scale factor of (3/5).

Therefore, The length of NO will be equal to (3/5)×25 inches,

= 15 inches.

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Answer:

\(s \geqslant 150\)

Step-by-step explanation:

mark brainliest

Answer:

Its the 4th one!

Step-by-step explanation:

Theres not really an explanation, ill try my best. AT least means that 150 will be the smallest number. So, the one with the line under it is right. and obviously speed can be greater than 150 because its atleast 150. hope this helps

Answer:

me puedes ayudar este deber

Special Product are the result of binomials being multiplied, or simplified further, and can be solved with ease using the First Last Inner Outer method. this product is not a special product.

Special Product (a+b) (a+b) = aa + ab + ab + bb = \(a^{2} + 2ab + b^{2}\).

we can use this formula anytime we are multiplying a binomial of the form a + b.

Factor as a Difference of Squares

factoring:  \(81a^{2} b^{4} - c^{6}\) = \((3^{4}a^{2} . b^{4}) - c^{6}\)

A difference of two perfect squares, \(A^{2} - B^{2}\) can be factored into

\((A+B)(A-B)\\A^{2} - AB + BA - B^{2}\\ A^{2} - AB + AB -B^{2}\\ A^{2} -B^{2}\)

AB = BA is he commutative property of multiplication from the expression.

-AB+BA equal zero and is therefore eliminated from the expression.

81 is the square of 9

\(a^{2}\) is the square of \(a^{1}\)

\(b^{4}\) is the square of \(b^{2}\)

\(c^{6}\) is the square of \(c^{3}\)

Factorization is \((9ab^{2}+c^{3}) . (9ab^{2}-c^{3} )\)

Factoring: \((9ab^{2}+c^{3})\)

A sum of perfect cubes, \(a^{3} + b^{3}\) can be factored into :\((a+b).(a^{2}-ab+b^{2})\\a^{3}-a^{2}b+ab^{2}-b^{2}a+b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)+b^{3}\\ a^{3}+b^{3}\)

9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)

Factoring: \((9ab^{2}-c^{3} )\)

A difference of two perfect cubes, \(a^{3} - b^{3}\) can be factored into

\((a-b).(a^{2}+ab+b^{2})\\a^{3}+a^{2}b+ab^{2}-ba^{2}-b^{2}a-b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)-b^{3}\\ a^{3}-b^{3}\)

9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)

Hence, 81a2b4 - c6 this solution deals with factoring binomials as the sum or difference of cubes.

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Answer:

1st Option

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

ab + c = d

Step 2: Solve for b

Answer:

B = (d-c)/a

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(7 > 2x+9\\\\\mathrm{Switch\:sides}\\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\2x+9-9<7-9\\\\2x<-2\\\\\frac{2x}{2}<\frac{-2}{2}\\\\x<-1\)

Answer:

It's 64 degrees

Step-by-step explanation:

multiply the temperature in degrees Celsius by 2 then add 30 to get the estimated temperature

Answer:

your gonna need to start from the point 5 and move up

Step-by-step explanation:

Answer:

\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\)

\( \sqrt{2 \times 2 } \\ = \sqrt{4} \\ = 2\)

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\( \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)

\( \huge \frak \red{question}\)

square root of 2 times 2

\( \huge \frak \green{answer}\)

→\( \sqrt{2 \times 2} \)

→\( \sqrt{4} \)

→ 2

The square root of 2 times 2 is "2"

Answer:

Quantity of fuel is 24 L, based on the model S=2400/Q when S=100

Step-by-step explanation:

If the output power of the car remains constant, the speed would reduce as the masses increase, which is the shown in the observed data.

Hence S does NOT vary directly with the mass and quantity, but varies INVERSELY with the mass and fuel (which has a mass).

Many models are possible to fit the results.  Product models with a single constant k

S(m,q) = kmq  and S(m,q) = k/mq  

do not fit both observation, hence rejected.

A possible  model with two constants is shown below

S(m,q) = k1/m + k2/q..................(1)

1.  m=220, q=30 =>  80 = k1/220 + k2/30 ..........(2)

2. m=300, q=40 =>  60 = k1/300 + k2/40 ..........(3)

Solve system (2) and (3) gives k1=0, k2 = 2400.

So it appears that the speed is independent of the mass (m) [unlikely], but inversely proportional to the quantity (q) of fuel, giving

S(q) = 2400/q

When speed = 100 km/h, and mass = 250 kg,  substitute

100 = 2400/q => q=2400/100 = 24

a.  The probability that a randomly selected adult female has a pulse rate less than 82 beats per minute is 0.7123.

b. The probability that 25 randomly selected adult females have a pulse rate with a mean less than 82 beats per minute is 0.9974.

c. The normal distribution can be used in part (b), even though the sample size does not exceed 30 as Option D: Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

a. Using the z-score formula, z = (x - μ) / σ, where x = 82, μ = 75, and σ = 12.5, we get -

z = (82 - 75) / 12.5

z = 0.56

Using a standard normal distribution table or calculator, we can find the probability that z is less than 0.56 is 0.7123.

Therefore, the probability value is obtained as 0.7123.

b. The central limit theorem states that as the sample size increases, the distribution of sample means becomes approximately normal, regardless of the shape of the original population distribution.

Therefore, we can use a normal distribution to approximate the sampling distribution of the sample mean, even if the sample size is less than 30.

The mean of the sampling distribution of the sample mean is the same as the mean of the original population, which is 75.

The standard deviation of the sampling distribution of the sample mean, also known as the standard error, can be calculated as σ / sqrt(n), where n = 25 is the sample size.

standard error = 12.5 / √(25) = 2.5

Using the z-score formula again, we can find the z-score for a sample mean of x' = 82 -

z = (x' - μ) / (σ / √(n))

z = (82 - 75) / (2.5)

z = 2.8

Using a standard normal distribution table or calculator, we can find the probability that z is less than 2.8 is 0.9974.

Therefore, the probability value is obtained as 0.9974.

c. The correct answer is the central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the original population distribution.

The requirement of a sample size greater than 30 applies to using a normal distribution to approximate the population distribution, not the sampling distribution of the sample mean.

Therefore, the correct option is D.

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Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below.

a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute.

The probability is ___.

b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute.

The probability is ___.

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.

B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.

C. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.

D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

a) The values solve the inequality because they are real values.

b) The solution to the inequality is of: all real values.

The number line is given by the image at the end of the answer.

The compound inequality is defined as follows:

0.5(x + 4) ≤ 5 or -2(x - 4) ≤ 14.

These inequalities have the or operation, meaning that the solution of the compound inequality is given by the union of the solution of each inequality.

The solution to the first inequality is obtained as follows:

0.5(x + 4) ≤ 0.5

x + 4 ≤ 10

x ≤ 6.

The solution to the second inequality is obtained as follows:

-2(x - 4) ≤ 14.

x - 4 ≥ -7

x ≥ -3.

Hence the solution is:

x ≥ -3 or x ≤ 6

Which simplify, with the or operation, to all real values.

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Answer:

25.1 cm

Step-by-step explanation:

the other person answered first but have a great day!

Answer:

x = 100

Step-by-step explanation:

This problem can be solved if you ignore line DC.

We know that angle FED + angle DEB = angle FEB = 100

Now, if you ignore line DC, you realize that FEB and AEG are vertical angles(opposite angles of 2 intersecting lines). This means that FEB is actually congruent to AEG.

So therefore:

x = AEG = FEB = 100

Answer:

£1,330.46

Hope this helps, mate!

Step-by-step explanation:

Hope this helps, mate! :)

Answer:

x = 1

y = 2

Step-by-step explanation:

Solve by substitution

1) Solve for x in 7x + 8y = 23

x = 28 - 8y/7

2) Substitute x = 23-8y/7 into 8x - 4y = 0

8(23-8y)/7 - 4y = 0

3) Solve for y in 8(23-8y)/7 - 4y = 0

y = 2

4) Substitute y = 2 into x = 23-8y/7

x = 1

5) Therefore,

x = 1

y = 2

\(7x+8y -23=0 ~~~\\\\8x-4y+0 =0\\\\\text{Using cross multiplication method,}\\\\\\\dfrac{x}{8(0)- (-23)(-4)} = \dfrac{y}{8(-23) -7(0)} = \dfrac 1{7(-4) - (8)(8)}}\\\\\\\implies \dfrac x{0-92} = \dfrac y{-184-0} =\dfrac 1{-28 -64}\\\\\\\implies -\dfrac x{92} = -\dfrac{y}{184} = - \dfrac 1{92}\\\\\\\implies \dfrac{x}{92} = \dfrac y{184} = \dfrac 1{92}\\\\\text{Hence,}\\\\x= \dfrac{92}{92} = 1\\\\y= \dfrac{184}{92} = 2\)

The key point in the equation log base 13 X = Y is that it represents the logarithmic relationship between the base 13 logarithm of X and the variable Y. The asymptote in this equation is the line Y = 0, which represents the limit or boundary as Y approaches negative or positive infinity.

To find the key point, we need to rearrange the equation to isolate X. Taking the exponentiation of both sides with base 13, we get X = 13^Y. This means that for any given value of Y, X is equal to 13 raised to the power of Y.

To find the asymptote, we can consider the behavior of the equation as Y approaches negative or positive infinity.

As Y approaches negative infinity, the value of X will approach zero, since 13 raised to a very large negative power becomes very small.

As Y approaches positive infinity, the value of X will increase without bound, as 13 raised to a very large positive power becomes very large.

In summary, the key point in the equation log base 13 X = Y is that X is equal to 13 raised to the power of Y. The asymptote is the line Y = 0, representing the limit or boundary as Y approaches negative or positive infinity.

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The remaining side is 16.9 and remaining angles are 83.1 and 34.9.

The cosine formula to find the side of the triangle is given by:

c = √[a² + b² – 2ab cos C] Where a,b and c are the sides of the triangle.

Given:

m∠B = 62°, a = 11, and c = 19

Now, b² = a² + c² - 2ac cos B.

b = √ a² + c² - 2ac cos B

b = √ 11² + 19² - 2x 11  x 19 cos 62

b= 16.9

Now. a/ sin A = b/ sin B= c/ sin C

So, <C = arc sin ( c sin B /b)

<C = arc sin ( 19 sin 62 /16.9)

<C = 83.1

and, <A = arc sin ( a sin B /b)

<A = arc sin ( 11 sin 62 /16.9)

<A = 34.9

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