800 time 40 divided by 6 equals

Answer:

The third set of ordered pairs

Step-by-step explanation:

one x is paired with one y

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

You can easily read the point (2, 0).

Let's try each equation with point (2, 0).

A.

y = √x + 2

y = √2 + 2

y = 2.41

This is point (2, 2.41), not (2, 0), so this equation is not it.

B.

y = √(x - 2)

y = √(2 - 2)

y = 0

This is point (2, 0), so this equation may be it.

C.

y = √x - 2

y = √2 - 2

y = -0.586

This is point (2, -0.586), not (2, 0), so this equation is not it.

Answer: B.

Answer:

1) The engine torque is approximately 134.33 N·m

2) The speed of the engine  is approximately 4,469.15 revolutions per minute

Step-by-step explanation:

1) The drag coefficient, \(c_d\), is given by the formula;

\(c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}\)

Where;

\(c_d\) = 0.28

\(F_d\) = The drag force

ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³

u = The object's flow speed = 130 mi/h = 58.1152 m/s

A = The frontal area = 19.8 ft² = 1.83948 m²

\(F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}\)

∴ \(F_d\) = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N

We have;

\(F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}\)

Where;

\(M_e\) = The engine torque

ε₀ = The overall gear reduction ratio = 2.5

\(\eta _d\) = The drivetrain efficiency = 0.88

r = The wheel radius = 12.6 inches = 0.32004 meters

\(\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}\)

\(\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m\)

The engine torque = \(M_e\) ≈ 134.33 N·m

The engine torque ≈ 134.33 N·m

2) The speed of the engine, \(n_e\), is obtained from the following formula;

\(v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}\)

Where;

v = The vehicle's speed = 130 mi/h = 58.1152 m/s

r = The wheel radius = 12.6 inches = 0.32004 meters

i = The drive axle slippage = 3% = 3/100 = 0.03

ε₀ = The overall gear reduction ratio = 2.5

\(\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second\)

The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute

The speed of the engine  ≈ 4,469.15 revolutions per minute.

Answer:

If f(x) is parallel to the line y=3/4x+b ,it would have to have the same slope.  

In this equation:

y=mx+b

m= is the slope of the line.

A line parallel to the line y=3/4x +2/5 must have the same slope; that it is to say, the slope would be m=3/4

Examples:

y=3/4 x+ 50000

y=3/4 x -51/36

y=3/4 x -√2

These functions could be parallels to the line y=3/4 x +2/5

Answer:

see below.

Step-by-step explanation:

The key to this question is the factor 3/4. So anything that is going to make the coefficient in front of x = to 3/4 is a possible answer.

y = 3/4x + b  where b is anything but 2/5 is one answer. Disguised but still likely is

4y = 3x + b        Where you could divide everything by 4

y = 3/4x + b/4

Even something like

-4y = - 3x + b  is possible because when you divide by -4, you get

y = -3x/-4 + b/-4

y = 3x/4 - b/4      

The value of length of AC is,

⇒ AC = 8.25

We have to given that;

CD = 6.6 cm, DE = 3.4 cm, CE = 4.2 cm, and BC = 5.25 cm

Now, We can formulate;

BC / AC = EC / CD

Substitute the values we get;

5.25 / AC = 4.2 / 6.6

Solve for AC;

5.25 x 6.6 / 4.2 = AC

AC = 8.25

Thus, The value of length of AC is,

⇒ AC = 8.25

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Answer:

In trigonometry, the value of tan 0 is 0. The word 'Trigonometry' is derived from the Greek word and the subject is developed to solve geometric problems involving triangles. It is used to measure the sides of a triangle.

Answer:

→ 0 (zero)

Step-by-step explanation:

The value of tan 0 is 0.

\( \Large \pink{\tt \dfrac{35}{36}}\)

\( \tt \dfrac{3}{4} + \dfrac{2}{9}\)

By taking LCM = 4 × 9 = 36

\( \tt = \dfrac{3 \times 9}{4 \times 9} + \dfrac{2 \times 4}{9 \times 4}\)

\( \tt = \dfrac{27}{36} + \dfrac{8}{36}\)

\( \tt = \dfrac{27 + 8}{36}\)

\( \tt = \dfrac{35}{36}\)

\( \pink{\tt \therefore \: Answer \: is \: \dfrac{35}{36}}\)

Answer:

The car is going 45 mph

Step-by-step explanation:

Since the speed limit is 35 mph and the car is 10 mph over the speed, we can add them to find out how fast the car is going. We can solve 35+10 which will give us 45. So it is not a sum of 0 but instead a sum of 45.

(hope this helped)

Answer:

35+10 =45

Step-by-step explanation:

add 10 to 35 then divide by 2

The expected value of the random variable XY is E[XY] = 7/3, and the expected value of the random variable X is E[X] = 5/3.

To calculate the expected value of XY, we need to find the sum of the product of XY and their respective probabilities for all possible values of X and Y. Using the provided joint probability mass function, we have:

E[XY] = ΣΣ (XY) * P(X=x, Y=y)

To simplify the calculation, we can consider the possible values of X and Y. The given range is x = 1, 2, 3 and y = 1, 2. Evaluating each term:

E[XY] = (1*1) * P(X=1, Y=1) + (1*2) * P(X=1, Y=2) +

       (2*1) * P(X=2, Y=1) + (2*2) * P(X=2, Y=2) +

       (3*1) * P(X=3, Y=1) + (3*2) * P(X=3, Y=2)

Substituting the joint probability mass function P(X=x, Y=y) = 2/(x+y), we can calculate each term and simplify:

E[XY] = (1*1) * 2/2 + (1*2) * 2/3 +

       (2*1) * 2/3 + (2*2) * 2/4 +

       (3*1) * 2/4 + (3*2) * 2/5

E[XY] = 7/3

To find E[X], we need to calculate the expected value of X. We can sum the product of X and its respective probability for each value of X:

E[X] = Σ (X) * P(X=x)

E[X] = (1) * P(X=1) + (2) * P(X=2) + (3) * P(X=3)

Substituting the joint probability mass function P(X=x, Y=y) = 2/(x+y), we can calculate each term and simplify:

E[X] = (1) * (2/2 + 2/3 + 2/4) + (2) * (2/3 + 2/4 + 2/5) + (3) * (2/4 + 2/5)

E[X] = 5/3

Therefore, the expected value of XY is E[XY] = 7/3, and the expected value of X is E[X] = 5/3.

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The recursive formula which correctly represents the given formula; g ( n ) = g ( n − 1 ) + 5.

It follows from the task content that the expression which represents the recursive formula.

By observation, the common difference, d of the arithmetic progression is; 5.

On this note, the recursive formula can be written as follows;

g ( n ) = g ( n − 1 ) + 5.

Consequently, the required recursive formula for the given arithmetic progression is; g ( n ) = g ( n − 1 ) + 5.

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Answer:

C. 4 times x squared plus 6 times x minus 3 minus 12 over the quantity 2 times x plus 1

Step-by-step explanation:

f(x) = 8x^3 + 16x^2 − 15

g(x) = 2x + 1.

f(x) / g(x) = (8x^3 + 16x^2 − 15) / (2x + 1)

Using long division

Answer:

4 times x squared plus 6 times x minus 3 minus 12 over the quantity 2 times x plus 1

Step-by-step explanation:

i did the test

Assume that the number is x

The opposite of 3 is -3

Since the sum of the number and the opposite of 3 equals 4

Therefore:

Remember (+)(-) = (-), so

To find x we need to move 3 to the other side by adding 3 to both sides

Since x represents the number, so

The number is 7

Let us check the answer

7 + -3 = 4

The answer is correct

Answer:

Option (1)

Step-by-step explanation:

The given triangle JKL is an equilateral triangle.

Therefore, all three sides of this triangle will be equal in measure.

Side JK = JL = KL = 48 units

Perpendicular LM drawn to the base JK bisects the base in two equal parts JM and MK.

By applying tangent rule in ΔJML,

tan(∠KJL) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

                = \(\frac{\text{LM}}{\text{JM}}\)

                = \(\frac{\text{LM}}{24}\)

Since, Sin(K) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

Sin(60)° = \(\frac{\text{LM}}{48}\)

\(\frac{\sqrt{3}}{2}=\frac{\text{LM}}{48}\)

LM = 24√3

Now, tan(∠KJL) = \(\frac{\text{LM}}{24}\)

                          = \(\frac{24\sqrt{3} }{24}\)

Therefore, Option (1) will be the answer.

The integral in cylindrical coordinates, but we are not required to evaluate it.

To convert the integral into cylindrical coordinates, we need to express the limits of integration and the volume element in terms of cylindrical coordinates.

In cylindrical coordinates, the region E is defined as:

0 ≤ θ ≤ π/2 (first octant)

0 ≤ r ≤ √(6cosθ + 3sin²θ) (intersection of cone and paraboloid)

0 ≤ z ≤ 6 - r²cos²θ - r²sin²θ (above xz-plane and inside cone and paraboloid)

The volume element in cylindrical coordinates is given by:

dV = r dz dr dθ

To see why, note that a small change in r, dr, results in a cylindrical shell of thickness dr, height dz, and radius r. The volume of this shell is given by 2πr dz dr, which is equal to r dz dr dθ after integrating over θ.

Substituting these expressions into the given integral, we get:

∫∫∫ E (x² + y²)^(1/2) dV

= ∫₀^(π/2) ∫₀^(√(6cosθ + 3sin²θ)) ∫₀^(6 - r²cos²θ - r²sin²θ) r (r²cos²θ + r²sin²θ)^(1/2) dz dr dθ

= ∫₀^(π/2) ∫₀^(√(6cosθ + 3sin²θ)) r (r²cos²θ + r²sin²θ)^(1/2) (6 - r²cos²θ - r²sin²θ) dr dθ

This is the integral in cylindrical coordinates, but we are not required to evaluate it.

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Answer:

-84

Step-by-step explanation:

Answer:

6,008.3

Step-by-step explanation:

\(V=\pi r^{2} h\\V=\pi 7.5^{2} 34\)

Answer:

2nd one is the nearest tenth

Step-by-step explanation:

V=πr²h

Solving it

V=22/7×7.5×7.5×34

V=6010.714286 cm ³

Answer:

Step-by-step explanation:

Step by step solution of a set of 2, 3 or 4 Linear Equations using the Substitution Method x-5y+4z=27,4x-3y-z=23,3x+3y-6z=-9 Tiger Algebra Solver.

Answer:

25000000 should be the answer

Step-by-step explanation:

...

Answer:

387 is rounded to 400

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

0-49 = round down

50-99 = round up

Since 718 is between 0-49, we would round to 700

Since 331 is between 0-49, we would round to 300

700 - 300 = 400

Answer:

F=M*H

Step-by-step explanation:

The answer is 64.  To find the number of homozygous dominant individuals in the population.

We need to use the Hardy-Weinberg equation:

p^2 + 2pq + q^2 = 1

Where:
p = frequency of dominant allele
q = frequency of recessive allele

Since the dominant allele frequency is 0.8, we can assume that the recessive allele frequency is 0.2 (since p + q = 1).

To find the frequency of homozygous dominant individuals (p^2), we simply square the frequency of the dominant allele:

p^2 = (0.8)^2 = 0.64

To find the number of homozygous dominant individuals, we multiply the frequency by the total population size:

0.64 x 100 = 64

Therefore, there are 64 homozygous dominant individuals in the population.

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Answer:

Step-by-step explanation:

Given:

n= Total number of random sample of people taken=400

x= Number of people who provided yes responses= 124

P= The point of estimate of the sample of the population portion taken=?

Now,

P=x/n

P=124/400

P= 124/4×100

P= 32/100

P= 0.32 or 32%

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0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses

Estimate of Proportion: If we divide the random variable, the mean, and the standard deviation by n, we get a normal distribution of proportions with P′, called the estimated proportion, as the random variable. (Recall that a proportion as the number of successes divided by n.)

a simple random sample of 400 individuals provides 124 yes responses

The point estimate of individuals that would provide yes responses is the sample proportion.

n= Total number of random sample of people taken=400

x= Number of people who provided yes responses= 124

P= The point of estimate of the sample of the population portion taken

The sample proportion is calculated by dividing number of yes responses by sample size

p = x/n = 124/400= 0.31 or 31%

0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses

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According to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.

Descarte's Rule of Signs determines the number of real zeros in polynomial functions.

This indicates that -

The number of positive real zeros in the polynomial function f(x) is less than or equal to an even number depending on the sign change of the coefficients.

The number of negative real zeros in f(x) is an even number equal to or less than the number of sign changes of the coefficients of f(-x) terms.

Here, the polynomial function is given as -

\(P(x)=x^{3}-x^{2} -x-5\) ----- (1)

We have to find out the number of positive and negative real zeros that  the given polynomial can have.

The given polynomial already has its variables in the descending powers. So, we can easily determine the number of sign changes in the coefficients of P(x).

So, the coefficients of the variables in P(x) are -

1, -1, -1, -5

From above, we see that -

There is a sign change in the first and second variable coefficients

There is no sign change in the second and third variable coefficients

There is no sign change in the third and fourth variable coefficients

According to Descartes' Rule of Signs, there can be exactly three positive real zeros or less than three but an odd number of zeros.

So, we can determine that the number of positive real zeroes of the given polynomial can be 1.

To find out the negative real zeroes of the given polynomial, we have to find out P(-x) and determine the sign changes in the variable coefficients of P(-x).

From equation (1), we can write P(-x) as -

\(P(x)=x^{3}-x^{2} -x-5\\= > P(-x)=(-x)^{3}-(-x)^{2} -(-x)-5\\= > P(-x)=-x^{3}-x^{2} +x-5\)----- (2)

So, the coefficients of the variables in P(-x) are -

-1, -1, +1, -5

From above, we see that -

There is no sign change in the first and second variable coefficients

There is a sign change in the second and third variable coefficients

There is a sign change in the third and fourth variable coefficients

According to Descartes' Rule of Signs, since there are two sign changes of the coefficient variables, there can be two negative real zeros or less than two but an even number of zeros.

So, we can determine that the number of negative real zeroes of the given polynomial can be 2 or 0.

Thus, according to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.

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Rich will incur interest totaling $1,525.095 throughout the course of the 4.5-year non-payment period.

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Given that he is aware that he has the option to start loan payback in 4.5 years at the current interest rate of 4.29% on a $7,900 loan, the following will apply:

4.29% of 7900 after the first year

\(4.29/100*7900\)

=338.91

So, after the tenure of 4.5 years, to find total interest, the interest will be multiplied by 4.5:

=338.91*4.5

=1525.095

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Answer:(A) Show your work.

Step-by-step explanation:(A) Show your work.

Answer: holy math sucks but check the explanation i gotchu

Step-by-step explanation: A) -2x^6 + 3x^5 - 2x^4 - 15x^3 + 4x^2 -20x - 20

B) No, the product is not equal to (x^3-3x-4)*(-2x^3+x-5). This is because the order of the terms in the product is different than the order of the terms in the expression. The product takes the form of -2x^6 + 3x^5 - 2x^4 - 15x^3 + 4x^2 -20x - 20, whereas the expression has the form of (-2x^3+x-5)*(x^3-3x-4).

Answer:

x = 3.5

Step-by-step explanation:

4(6x - 9.5) = 46 ← divide both sides by 4

6x - 9.5 = 11.5 ← add 9.5 to both sides

6x = 21 ← divide both sides by 6

x = 3.5

Answer:

I think it's a

I'm not that sure tho

The trinomial expression of (x−3)(2x−5) is 2\(x^{2}\) − 11x + 15.

To express the product of two binomials (x−3) and (2x−5) as a trinomial, we can use the FOIL method or distributive property.

FOIL stands for First, Outer, Inner, Last. We multiply the First terms in each binomial, then the Outer terms, then the Inner terms, and finally the Last terms. We then add these four products together to get our trinomial.

Using the distributive property, we can multiply each term in the first binomial by each term in the second binomial. This gives us four terms, which we can then simplify by combining like terms to obtain the trinomial.

So, using either method, we get:

(x−3)(2x−5) = x(2x) + x(-5) - 3(2x) - 3(-5)

                  = 2\(x^{2}\) -5x -6x + 15

                  = 2\(x^{2}\) − 11x + 15

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