Finding probabilities for the t-distribution Question 5: Find P(X<2.262) where X follows a t-distribution with 9 df. Question 6: Find P(X> -2.262) where X follows a t-distribution with 9 df. Question 7: Find P(Y<-1.325) where Y follows a t-distribution with 20 df. Question 8: What Excel command/formula can be used to find P(2.179

In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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There can be several possibilities and causes

y>2x-1

y<2x-1

y≤2x-1

y≥2x-1

y=2x-1

Credit: Mister Brainly

There can be several possibilities and causes:

y>2x-1

Then line will be dashed and solution region to be shaded.

y<2x-1

Same like before

y≤2x-1

Solid line should be done and shading the solution region

y≥2x-1

Same like before

y=2x-1

A straight line and no shading

Step-by-step explanation:

3:1 boys

x:4 boys (when there are 4 girls)

x = 3×4 = 12

there are 12 boys in the class.

Answer:

C.    16.9

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

0.1414... in a fraction is 14/99

Step-by-step explanation:

Given the number 0.1414...

we have to represent the above in terms of fraction

Let x=0.1414....  →  (1)

Multiplying by 100 on both sides

100x=14.1414....     → (2)

Subtract (1) from (2), we get

99x=14

x=14/99

hence, 0.1414... in a fraction is 14/99

Answer:

Step-by-step explanation:

Ok since they haven't specifically told use what the four consecutive numbers is we gotta use

X, x+1, x+2, x+3

Then you collect the like terms and sum them up

x+x+x+x+ 1 + 2 + 3 =278

4x+6=278

4x=272

Then you simplify

4x/4= 272/4

x=68

Now that you know what x is then the four consecutive numbers are 68, 69, 70, 71.

Adiosss

But the way I think I know do you have exams tomorrow??

let me know if this is wrong

(a) The four names used to refer to lift coefficient (CL) as a function of drag coefficient (CD) are as follows:drag polar-lift/drag polar equilibrium polar polar diagram

(b) The following are the shapes of the lift coefficient curve as a function of the drag coefficient:Figure: Typical lift coefficient curve as a function of the drag coefficient.The flap setting affects the lift coefficient as well as the drag coefficient. Flaps improve the efficiency of the wing by increasing its lift. The curve is shifted to the right by an increase in the flap angle of attack αf. Because the total angle of attack is equal to the sum of the flap angle and the main wing angle of attack α, the increased lift coefficient leads to a lower main wing angle of attack α. It results in a lower drag coefficient.

(c) When the flow is steady, the angle of attack α is the sole parameter that determines the lift and drag coefficients. At an angle of attack α0, the lift coefficient reaches its maximum value, after which it begins to drop. As a result, the angle of attack α0 is referred to as the angle of attack for maximum lift. At α=α0, there is no ambiguity in determining the lift coefficient CL and drag coefficient CD.

(d) The equation for maximum climbing rate (CR) is given by:CR = (CL / CD) * (1 / V) * [(T / W) - CD]where T is the available thrust, W is the weight of the aircraft, and V is the velocity.The equation for maximum gliding ratio (GR) is given by:GR = (1 / CD) * sqrt (2 * (CL / CD) * (W / S))where S is the wing surface area.  The above equations are based on the parabolic approximation to the lift coefficient and are only valid for a particular flight altitude and configuration.

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The correct answer is option c i.e. (0, 2)

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

Here, The solution to this Linear System is already shown by the graph. This is also called the Graph Method. The Solution of this Linear System is this common point in this case, (0,2).

Since each equation is represented by a line. So We have  g(x) for the red line, and f(x) for the blue one. Each line is a set of points, We know that from the Euclidean Geometry and its common point (0,2) solves this system.

Thus, the correct answer is option c i.e. (0, 2)

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Answer:

0,2

Step-by-step explanation:

Answer:

75.6 ounces

Step-by-step explanation:

Step one.

Given data

we are told that the original quantity of food is 63 ounces

and the increase is in food is by 20%

Step two:

let us find the increase in ounces

=20/100*63

=0.2*63

=12.6 ounces

Hence the amount of food in the bag now is

=12.6+63

=75.6 ounces

Answer:

V = 19329.14 cubic inches

Step-by-step explanation:

Volume of cylinder

\(V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h\)

r ... radius of circle
h ... height of cylinder

Given information:

r = 18 in

h = 19 in

Now let's substitute the values in formula.

\(V = \pi r^2 \times h \\V = \pi (18)^2 \times 19\\V = 6156\pi\\V = 6156 \times 3.14\\V = 19329.84 \text{ in}^2\)

the dimensions of the box that will use the minimum amount of material are 10 cm × 10 cm × 1 cm.

A box with a square base is required to package 100 cm³ of powdered milk. We must determine the dimensions of the box that will use the minimum amount of material.

To minimize the amount of material required to construct the box, we must minimize the surface area of the box. The surface area of a box with a square base can be expressed as follows:

SA = x² + 4xywhere S is the surface area, x is the length of one side of the base, and y is the height of the box. Since the box's volume is 100 cm³, the following equation can be used to solve for y:x²y = 100y = 100/x²Substituting this value of y into the equation for surface area, we obtain:

SA = x² + 4x(100/x²)

SA = x² + 400/x

Since we are trying to find the dimensions of the box that will use the minimum amount of material, we must find the value of x that minimizes the surface area. To do so, we must take the derivative of the surface area function with respect to x and set it equal to zero. This is because the derivative of a function at a minimum or maximum point is equal to zero.

dS A/dx = 2x - 400/x² = 0Solving this equation for x yields:

x = 10 cm

Substituting this value of x into the equation for y yields:

y = 1 cm

Therefore, the dimensions of the box that will use the minimum amount of material are 10 cm × 10 cm × 1 cm.

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\(s^2=1^2+2^2\\s^2=1+4\\s^2=5\\s=\sqrt5\)

s²=5 , so we look for the nearest squares, one less than 5 and the other greater.

First it would be perfect squares, which means 4=2² and 9=3²

4 < 5 < 9  so   2 <√5 < 3

now we'll do the same with the numbers with tenths, but to speed up we don't check them all. We do estimation for the square root knowing that it must be between 2 and 3

5 is close to 4 then 9, so I estimate 2.3 for its square root

(2.3)² = 5.29  - it is close but more then 5 so I look for less number then 2.3

(2.2)² = 4.84 - it is also close and less then 5 so:

4.84 < 5 < 5.29  therefore   2.2 < √5 < 2.3 and:

5 - 4.84 = 0.16  ; 5.29 - 5 = 0.29  

0.16 < 0.29  means the √5 is closer to 2.2 then 2.3

So the √5 rounded to the nearest tenth is 2.2

Of course is much easier if you can use the calculator. Then you have:

√5 = 2.2360679... ≈ 2.2         {because 3<5}

:)

Answer:

19 floors would equal 380 apartments.

Step-by-step explanation:

multiply the number of floors (19) by the number of apartments on each floor (20). so all in all, there are 380 apartments in a building of 19 floors.

The null we are interested in testing here is that the coefficients on age and age^2 are jointly zero. So, we would need to run a restricted version of the regression above where these two variables are omitted and calculate.

Given:

what other regression do you need to run to test the null hypothesis that, holding other factors fixed, age has no effect on sleeping.

The null we are interested in testing here is that the coefficients on age and age^2 are jointly zero.

\(F = R^2_{ur}-R^2_r / q / 1-R^2_{ur} (n-k-1)\)

Therefore the null we are interested in testing here is that the coefficients on age and age^2 are jointly zero. So, we would need to run a restricted version of the regression above where these two variables are omitted and calculate.

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The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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The equivalent fractions for 2/3 is (3×2)/(3×3) = 6/9 and for  5/12 is (4×5)/(4×12) = 20/48.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The equivalent fraction for 2/3 is (3×2)/(3×3) = 6/9.

The equivalent fraction for 5/12 is (4×5)/(4×12) = 20/48.

We have to multiply the same number to both the numerator and denominator to get equivalent fractions.

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Answer:

Yes, It is possible

Step-by-step explanation:

The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873

Let X shows the number of messages received per hour. The pdf of X is

\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)

Therefore, the probability that 5 messages are received in a single hour is

\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)

(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is

\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)

(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is

\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)

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Answer:

1

Step-by-step explanation:

The square root of 1 is called 1.

In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 4 is 2, because 2 x 2 = 4. The square root of 9 is 3, because 3 x 3 = 9.

The square root of 1 is 1, because 1 x 1 = 1. Therefore, the square root of 1 is simply called 1.

we would expect the result to be within 3 percentage points of the true population value 95 of those times.

sample of the population, we know that the result probably won’t exactly match the “true” result that we would get if we interviewed everyone in the population.

The margin of sampling error describes how close we can reasonably expect a survey result to fall relative to the true population value.

A margin of error of plus or minus 3 percentage points at the 95% confidence level means that if we fielded the same survey 100 times,

we would expect the result to be within 3 percentage points of the true population value 95 of those times.

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Answer:

São seis nonos

Step-by-step explanation:

The given piecewise-defined function is:

It is required to graph the function.

To do this, graph each piece with respect to the corresponding domain.

Graph g(x)=2 over x<-1:

Notice that an open circle is at x=-1 since it is not included in the interval x<-1.

Graph g(x)=3 for x=-1. This is just a point:

Finally, graph g(x)=-1 for x>-1:

There is an open circle at x=-1 since it is not included in the interval x>-1.

Thus, the required graph of the piecewise-defined function is shown below:

Answer:

c. 44

Step-by-step explanation:

½m - ¾n = 16

½m - (¾×8) = 16

½m - 6 = 16

½m = 16 + 6

½m = 22

m = 44

Answer:

c 44

Step-by-step explanation:

its on edge

We can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center).

To answer this question, we need to use the equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

Where h and k represent the coordinates of the center of the circle, and r represents the radius. In this case, we are given that the circle has center (h, k) and radius 10. So we can write:

(x - h)^2 + (y - k)^2 = 10^2

We are asked to find the value of k. To do this, we need to look at the equation of the circle and notice that the y-coordinate is paired with k. This means that we can isolate k by rearranging the equation as follows:

(y - k)^2 = 10^2 - (x - h)^2

y - k = ±√(10^2 - (x - h)^2)

k = y ±√(10^2 - (x - h)^2)

Since we don't have any information about the x-coordinate, we can't solve for a specific value of k. However, we can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center). Therefore, the answer is:

k = y

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When Katherine's investment doubles in value, Brianna would have approximately $141,159 in her continuously compounded account.

To find the amount of money Brianna would have in her continuously compounded account when Katherine's investment doubles, we need to use the formula for compound interest, which is given by the equation A = P * e^(rt), where A is the final amount, P is the principal amount, e is the base of the natural logarithm (approximately 2.71828), r is the interest rate, and t is the time period.

First, let's calculate the time it takes for Katherine's investment to double. Doubling the principal amount is equivalent to having a final amount (A) that is twice the principal amount (P). So, 2P = P * (1 + r/n)^(nt), where r is the interest rate, n is the number of times compounded per year, and t is the time in years. In this case, Katherine's account is compounded monthly, so n = 12. Solving for t, we find t = ln(2) / (12 * ln(1 + r/12)), where ln represents the natural logarithm.

Using the given interest rate of 9% (0.09), we can substitute the values into the formula to calculate t. After calculating t, we can plug it into the continuous compound interest formula to find the final amount in Brianna's account. With an initial investment of $63,000, the final amount in Brianna's account when Katherine's investment doubles is approximately $141,159.

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A

y=4x

8/2=4. .and the rest too have the same value

Given:

a.) A person had 14,000 infested in two accounts.

b.) One paying 9% simple interest.

c.) One paying 10% simple interest.

Let,

x = the amount invested at 9% simple interest

y = the amount invested at 10% simple interest

1.) We know the total amount of money invested is $14,000. We get,

x + y = 14,000

2.) We know that the total interest for the year for the two accounts is $1432. We get,

0.09*x + 0.1*y = 1,339

Let's equate the two equations,

x = 14,000 - y (Substitute for x)

0.09*(14,000 - y) + 0.1*y = 1,339

1,260 - 0.09y + 0.1y = 1,339

0.1y - 0.09y = 1,339 - 1,260

0.01y = 79

0.01y/0.01 = 79/0.01

y = 7,900

Therefore, $7,900 was invested at the rate of 10% simple interest.

Let's determine x, substituting y = 7,900 in x + y = 14,000.

x + y = 14,000

x + 7,900 = 14,000

x = 14,000 - 7,900

x = 6,100

Therefore, $6,100 was invested at the rate of 9% simple interest.

Answer:

B

Step-by-step explanation:

plug in 1 for x and 4 for y

4 + 4 = 4(1+1)

8 = 8

Plug in 2 for x and 8 for y

8+ 4 = 4(2+1)

12 = 12

The single transformation which takes shape A to shape B is given by the vector \((^{-5}_{-5})\)

Transformation is the movement of a point from its initial location to a new location. Types of transformations are rotation, translation, reflection and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

The single transformation which takes shape A to shape B is given by the vector \((^{-5}_{-5})\)

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