Please select the best answer from choices provided.
A
B
C
D​

a.  A statistical test used to help answer the question of whether an observed difference is real or just due to chance error- true

The statistical test referred to in the question is known as a hypothesis test. It is used to determine the probability that the observed difference between two groups or variables is not due to chance but rather represents a true difference. The test involves setting up a null hypothesis, which assumes that there is no difference between the groups or variables, and an alternative hypothesis, which assumes that there is a real difference.

The test calculates a p-value, which represents the probability of obtaining the observed difference by chance if the null hypothesis is true.

If the p-value is below a predetermined level of significance (usually 0.05), then the null hypothesis is rejected and the alternative hypothesis is accepted.

This means that the observed difference is considered real and not just due to chance error.

Hence, If the p-value is below a certain level of significance, the null hypothesis is rejected and the alternative hypothesis is accepted, indicating that the observed difference is real.

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Answer:

150 = 0.50y + 1.00x

Step-by-step explanation:

The equation representing the normal cost (x), for an individual, is 6(x - 3) = 54, so option A is correct.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

Costs $54 for 6 people of the package, and $3 less per person than the normal cost for an individual.

The individual cost = 54 / 6 = $9, so the normal cost will be = 9 + 3 = $12

Apply the hit and trial method in the option,

(2)

3(x - 6) = 54

x - 6 = 54 / 6

x = 9 + 6 = 15

(1)

6(x - 3) = 54

x - 3 = 54 / 6

x = 9 + 3 = 12

Therefore, the equation representing the normal cost (x), for an individual is 6(x - 3) = 54.

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Based on the given scatterplot, the trend appears to be a negative association between age and GPA. As age increases, GPA tends to decrease.

In a scatterplot, the trend represents the general pattern or direction of the relationship between two variables. In this case, the variables are age and GPA. The scatterplot shows that as age increases, there is a general tendency for GPA to decrease. This suggests a negative association between the two variables.

There could be several reasons for this negative association. It could be that older students have more responsibilities and less time to devote to their studies, leading to lower GPAs. Alternatively, it could be that older students are more likely to have completed more difficult courses earlier in their college careers, leading to lower GPAs in subsequent courses.

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1.  √7 × √7  = √[7×7] = √[7²] = 7

2. √18 × √2  = √[18×2] = √36 = √[6²] = 6

3. √45  = √[9×5] = √9 × √5 = √[3²] × √5 = 3√5

4. \(\dfrac{\sqrt{50}}{5}=\dfrac{\sqrt{25\cdot2}}{5}=\dfrac{\sqrt{25}\cdot\sqrt2}{5}=\dfrac{5\cdot\sqrt2}{5}=\bold{\sqrt2}\)

5. 2√2 × 4√5  = (2×4) × (√2×√5) = 8×√[2×5] = 8√10

6. √48 - √12  = √[16×3] - √[4×3] = √16×√3 - √4×√3 = 4√3 - 2√3 = 2√3

7. (2 - √3)(1 + √3) = 2×1 + 2×√3 + (-√3)×1 + (-√3)×√3 =

                                     = 2 + 2√3 - √3 - √[3×3] = 2 + √3 - 3 = √3 - 1

Answer:

Option (B)

Step-by-step explanation:

Length of the rope Mr Hernandez has = 41 feet

He wants to enclose an area in the shape of a pentagon.

Therefore, minimum length of the rope required = perimeter of the pen

Perimeter of the pentagonal pen = Sum of the measures of all five sides of the pen

Perimeter = x + (7 - 5x) + (3x - 2) + (3x + 4) + (5 - 3x)

                = (-x + 14)

Now the length of the rope should be more than and equal to the perimeter of the pen to cover.

41 ≥ (-x + 14)

Or

-x + 14 ≤ 41

Therefore, Option (B) will be the answer.

The determined value of the number of nickels and the number of dimes that Grayson has is

This is further explained below.

Generally, The following phrase represents Jayden's complete financial worth:

Nickels are worth $0.05 each.

The dime value is equal to $0.10

The total value is equal to the sum of the values of the nickels and dimes.

where;

\(1.20= (0.05*2 x) +(0.1*x)\)

0.1 x+0.1 x=1.2

0.2 x=1.2

\(x=\frac{1.2}{0.2}\)

x=6

y=2

In conclusion, the Total number of dimes=6

Total number of nickels=12

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Answer:

\(5 \frac{1}{16}\)

Step-by-step explanation:

I did this before. Also sometimes once I look at the question I just find out the answer without steps.

The theoretical probability for the 1 horned, 1 eyed,  flying, people eater purple is found to be 1/120.

Experimental Probability: Based on actual results rather than mathematical calculations, the experimental probability of an occurrence is the likelihood that the event will actually occur.

Theoretical Probability: Considering that the event is ideal, the theoretical chance that it will occur is the theoretically ideal probability of a specific result. The flaws in the system are not taken into consideration by theoretical probability.

Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.

The given probability are;

Let P(E)  be the theoretical probability  1 horned, 1 eyed,  flying, people eater purple.

Then,

P(E) =  3/4 * 1/5* 2/3* 3/8* 1/2

P(E) =  1/120

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95 and 50 are the measures of those two angles.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

given, One angle of a triangle measures 35°. The other two angles are in a ratio of 10:19.

Let second angle of the triangle is "x"

Thus, third angle of triangle will be = 10/19x

Since, sum of the three angles of triangle is 180 degrees

35 + x + 10/19x = 180

29x/19 = 145

x = 5 *19

x = 95

So, Second angle of triangle = x = 95

Third angle of triangle = 10/19x = 50

therefore, the measures of those two angles are 95 and 50.

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Answer:

One solution

Step-by-step explanation:

Integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

Given that,

Analyze the integral to see if it is convergent or divergent. convergent integrals should be evaluated.

\(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

We have to simplify the equation.

Finding the area of the curve's undersurface is the process of integration. To do this, draw as many little rectangles as necessary, then add up their areas.

We know that,

I= \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

Let p = x²then xdx= dp/2

Then

I= \(\int\limits^\infty_\infty {3/2e^{-p} } \, dp\)

I= 3/2(\(e^{-p}\))infinity to minus infinity

I= 3/2 (\(e^{-x^{2} }\))infinity to minus infinity

I=0

Therefore, integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

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Answer:

3 I think it's answer.............

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

The mean is lower than the median which is lower than the mode.

Step-by-step explanation:

Answer:

\(y = - \frac{1}{3} x + 4\)

Step-by-step explanation:

hope thai HELPS!

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Step-by-step explanation:

Notice the vertex and focus have the same y coordinate so this means we will have sideways parabola.

Equation of a sideways parabola is

\((y - k) {}^{2} = 4p(x - h)\)

Since the vertex is (0,0), we can get rid of h and k.

\( {y}^{2} = 4px\)

Next Section: Value of P:

The value of P is the displacement between the focus and vertex.

So we do

\(p = x _{focus} - x _{vertex}\)

\( p = - 6 - 0\)

\(p = - 6\)

\( {y}^{2} = 4( - 6)x\)

\( {y}^{2} = - 24x\)

or

\( - \frac{ {y}^{2} }{24} = x\)

The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.

To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.

The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).

In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.

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Answer:

I think it is D, but I am not sure.

Step-by-step explanation:

Have a nice day!

Answer:

8$/lb

Step-by-step explanation:

because 8 x 5 is 40 there for each pound would be 8$ if there are 5 pounds

After 6 days, the population size was 10 members, calculated using the equation \(Nt = N0 * e^{(r*t})\)

The population of protozoa grows according to a constant relative growth rate of 0.7507 per member per day. On day 0, the population size is 6 members. After 6 days, the population size can be calculated using the equation\(Nt = N0 * e^{(r*t)}\) where Nt is the population size after t days, N0 is the initial population size, and r is the growth rate.

Plugging in the values, we get \(N6 = 6 * e^{(0.7507*6)}\)

Using a calculator, we find that \(N6 = 10.22\), rounded to the nearest whole number 10.

Therefore, the population size of protozoa after 6 days is 10 members.

To summarize, the population of protozoa develops with a constant relative growth rate of 0.7507 per member per day. On day zero, the population size was 6 members. After 6 days, the population size was 10 members, calculated using the equation \(Nt = N0 * e^{(r*t})\)

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Answer:

9 small boxes and 15 large boxes

Step-by-step explanation:

x = small box

y = large box

x + y = 24

9x + 24y = 441

-9x - 9y = -216

15y = 225

y = 15

x + 15 = 24

x = 9

Answer:

Let x be the small boxes

Let y be the large boxes

x+y=24

9x+24y=441

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula we need for this is

4(4 + x) = 5(5 + 3) and

16 + 4x = 5(8) and

16 + 4x = 40 and

4x = 24 so

x = 6, choice C.

Answer:

3z-38

Step-by-step explanation:

Put an addition sign between the two equations and combine like terms. Write in order from highest degree to lowest (standard form). X's cancel out.

The total length between the two fences is 136 ft, and the total cost is 164.56 dollars.

We have a square garden with a perimeter of 60ft. Then if the sidelength of the square is S, we have that:

60ft = 4*S

S = 60ft/4 = 15ft

We know that the first fence is around the perimeter of the garden, so the length of the first fence is exactly 60ft.

Now, the other fence is 2ft away from the first fence, so it forms a square of sidelength of:

15ft + 2*2ft = 19ft

Then the perimeter of this square is:

P = 4*19ft = 76ft

This means that the length of the second fence is 76 ft.

So the total length of fence is 76ft + 60ft = 136ft

And the cost is $1.21 per ft, then the total cost for the fence is:

C = 136*$1.21 = $164.56

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