How do you distribute an exponent (X-2y)2

The probability of rolling a sum of 12 with these dice.

P(D1 + D2 = 12) = 1/36.

When two standard six-sided dice are rolled, there are 36 conceivable results (6 x 6 = 36). To calculate the likelihood of rolling an entirety of 12, we ought to decide how numerous of these 36 conceivable results result in a sum of 12.

As it were a way to induce an entirety of 12 is to roll two sixes, so there's as it were one conceivable result that comes about in a whole of 12. Hence, the likelihood of rolling an entirety of 12 with two dice is 1/36, or roughly 0.0278 (adjusted to the closest thousandth).

This is often because the likelihood of rolling a particular number on one pass-on is 1/6, and since we have two dice, we duplicate 1/6 by 1/6 to induce the likelihood of a particular combination, which is 1/36.

In other words, the likelihood of rolling an entirety of 12 is exceptional moo, which makes it an uncommon event when rolling two dice.

To know more about probability refer to this :

https://brainly.com/question/24756209

#SPJ1 

The cost of the carpeting Gabriela will use in her living room is  $3,305.47 and Area of living room is 346.41 sq ft

Area of rectangular room = length x width = 25 ft x 16 ft = 400 sq ft

Area of quarter-circle = (1/4) x pi x r^2 = (1/4) x pi x 8^2 = 16 pi sq ft

So the area of the living room is:

Area of living room = Area of rectangular room - Area of quarter-circle

= 400 sq ft - 16 pi sq ft

= 346.41 sq ft

The cost of carpeting this area is:

Cost of carpeting = Area of living room x Cost per square foot

= 346.41 sq ft x $9.55/sq ft

≈ $3,305.47

Therefore, the cost of the carpeting Gabriela will use in her living room is $3,305.47.

To learn more on Area click:

https://brainly.com/question/20693059

#SPJ1

Answer:

  A.  Bay Side: mean = 17.1, median = 16; Seaside: mean = 19.5, median = 18

  B.  Bay Side: σ = 8.96, IQR = 12, range = 37; Seaside: σ = 9.03, IQR = 16, range = 31

  C. Bay Side has lower center values and less variation.

Step-by-step explanation:

Given stem and leaf plots for 15 class sizes at each of two schools, you want to know (a) their measures of center, (b) their measures of variation, and (c) which would be preferred for lower class size.

The first attachment shows the statistics for Bay Side School. It tells you the measures of center for Bay Side are ...

The second attachment shows the statistics for Seaside School. The measures of center there are ...

We note the measures of center indicate smaller classes at Bay Side.

For Bay Side School, the measures of variation are ...

For Seaside School, the measures of variation are ...

The measures of variation are generally smaller for Bay Side.

The measures of center and the measures of variation both favor Bay Side School as the school of choice for smaller classes.

__

Additional comment

The arithmetic for these descriptive statistics can be tedious and error-prone. It is convenient to let a calculator do it. The lists of data points are given as L1 and L2 for the calculator screens attached. L1 is Bay Side data, and the result of the 1-Var Stats calculation is shown in the first attachment. Seaside data was put in L2, which was used for the calculations shown in the second attachment.

The Q1 and Q3 data values are the 4th lowest and 4th highest data values in each of the lists. The median is the 8th data value, counted from either end.

<95141404393>

Therefore, we have the recurrence relation: |P(S_k)| = 2 * |P(S_{k-1})|
with the initial condition |P(S_0)| = 1 (since the empty set is the only subset of the empty set).

Sure! To count the number of subsets of a set with k elements, we can use the fact that each element can either be in a subset or not. This gives us two options for each element, so there are 2^k total subsets.

To set up a recurrence relation for this, let S_k denote the set with k elements and P(S_k) denote its power set (the set of all subsets of S_k). Then, we can relate P(S_k) to P(S_{k-1}) by considering whether or not to include the kth element in each subset.

If we don't include the kth element, then each subset of S_{k-1} is also a subset of S_k, so there are |P(S_{k-1})| subsets that don't include the kth element.

If we do include the kth element, then each subset of S_{k-1} can be extended by including the kth element, giving us |P(S_{k-1})| more subsets.

Know more about subsets here;

https://brainly.com/question/24138395

#SPJ11

Based on the information provided, it appears that there are 4 independent variables included in the regression model.

This is indicated by the "regression" row in the ANOVA table, which shows that there are 4 degrees of freedom (df) for the regression. This is determined by the degrees of freedom (df) for the regression, which is 4. The df for regression represents the number of independent variables in the model.

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.

More on regression: https://brainly.com/question/14983410

#SPJ11

A) The corresponding unit rate for each package is,

For Cannie cakes;

⇒ $1.85

Bark bits;

⇒ $2.25

Woofy Waffles;

⇒ $1.9

B) The best buy by the units rates is, Cannie cakes.

We have to given that;

Jeremiah needed dog food for his new pippy.

Now, We get;

A) The corresponding unit rate for each package is,

For Cannie cakes;

⇒ 74/40

⇒ $1.85

Bark bits;

⇒ 27/12

⇒ $2.25

Woofy Waffles;

⇒ 76 / 40

⇒ $1.9

Hence, We get;

B) The best buy by the units rates is, Cannie cakes.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

The percent decrease in the mower's price to the nearest tenth of a percent is 25.3%.

We have,

We need to calculate the initial discount given by the 23% off sale:

Discount

= 0.23 x $425

= $97.75

After the first discount, the mower's price is:

New price

= $425 - $97.75

= $327.25

Then, the store manager discounted it by another $10, so the final price is:

Final price

= $327.25 - $10

= $317.25

The total decrease in price is:

= $425 - $317.25

= $107.75

The percent decrease in the mower's price is:

Percent decrease

= (107.75 / 425) x 100%

= 25.3%

Therefore,

The percent decrease in the mower's price to the nearest tenth of a percent is 25.3%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ1

Rounding to 4 decimal places, we expect 9.9600 of the 12 vehicles to use E-ZPass.

Rounding to 4 decimal places, the mode is 10 and the probability associated with the mode is 0.2822.

Rounding to 4 decimal places, the probability of eight or more of the sampled vehicles using E-ZPass is 0.9975.

a. We can use the binomial distribution to model the number of vehicles out of 12 that use E-ZPass. The probability of a vehicle using E-ZPass is 0.83, so the expected number of vehicles out of 12 that use E-ZPass is:

E(X) = np = 12 x 0.83 = 9.96

Rounding to 4 decimal places, we expect 9.9600 of the 12 vehicles to use E-ZPass.

b. The mode of the binomial distribution is the value of X that maximizes the probability mass function (PMF). In this case, the PMF is given by:

P(X = x) = (12 choose x) * 0.83^x * 0.17^(12-x)

We can find the mode by calculating the PMF for each possible value of X and identifying the value(s) with the highest probability. Alternatively, we can use the formula for the mode of the binomial distribution, which is:

mode = floor((n+1)p)

where n is the number of trials and p is the probability of success.

In this case, the mode is:

mode = floor((12+1) x 0.83) = floor(10.08) = 10

The probability associated with the mode is:

P(X = 10) = (12 choose 10) * 0.83^10 * 0.17^2 = 0.2822

Rounding to 4 decimal places, the mode is 10 and the probability associated with the mode is 0.2822.

c. The probability of eight or more of the sampled vehicles using E-ZPass can be found using the binomial distribution:

P(X >= 8) = 1 - P(X < 8) = 1 - P(X <= 7)

Using a binomial calculator or a cumulative binomial table, we can find:

P(X <= 7) = 0.0025

Therefore:

P(X >= 8) = 1 - 0.0025 = 0.9975

Rounding to 4 decimal places, the probability of eight or more of the sampled vehicles using E-ZPass is 0.9975.

To learn more about decimal visit:

https://brainly.com/question/30958821

#SPJ11

A 95% confidence interval for the true mean hours of exercise per week is (2.08, 8.40) for males and (2.95, 5.49) for females

To find a 95% confidence interval for the true mean hours of exercise per week for each group, we will use the following formula:

[tex]Confidence interval = Sample mean± (t \frac{Sample standard deviation}{\sqrt{n} } )[/tex]
where t is the t-score based on the degrees of freedom and the desired confidence level (95%).

(a) Males:

1. Determine the t-score: For a 95% confidence interval and 6 - 1 = 5 degrees of freedom, the t-score is approximately 2.571.

2. Calculate the margin of error: [tex]2.571 (\frac{3.01}{\sqrt{6} }) = 3.16[/tex]

3. Find the confidence interval: 5.24 ± 3.16 = (2.08, 8.40)

Males: (2.08, 8.40)

(b) Females:

1. Determine the t-score: For a 95% confidence interval and 14 - 1 = 13 degrees of freedom, the t-score is approximately 2.160.

2. Calculate the margin of error: [tex]2.160 (\frac{2.33}{\sqrt{14} })  = 1.27[/tex]

3. Find the confidence interval: 4.22 ± 1.27 = (2.95, 5.49)

Females: (2.95, 5.49)

In conclusion, a 95% confidence interval for the true mean hours of exercise per week is (2.08, 8.40) for males and (2.95, 5.49) for females.

To know more about "confidence interval" refer here:

https://brainly.com/question/29680703#

#SPJ11

(a) The growth rate in the percentage of Microsoft Word users is not explicitly provided in the given equation. To find the growth rate, we need the derivative of the function P(t) with respect to time (t).

(b) Graphing the function P(t) requires a graphing utility. The graph will show the percentage of Microsoft Word users over time.

(c) To find the percentage of Microsoft Word users in 1990, substitute t = 1990 into the equation P(t) = 99.774/(1 + 3.014e).

(d) To determine the year when the percentage of Microsoft Word users reached 90%, we need to solve the equation P(t) = 90 for t.

(e) The numerator in the model, 99.774, represents the initial percentage of companies reporting usage of Microsoft Word in 1984. It implies that almost 100% of the surveyed companies were already using Microsoft Word at that time. The model assumes a high initial adoption rate for the software.

Learn more about percentages here:-

brainly.com/question/24304697

#SPJ11

The sale price of the ticket is $57.05

The ticket for the summer concert is $81.50

The ticket will be on sale for 30% off

The sale price can be calculated as follows

81.50 × 30/100

= 81.50 × 0.3

= 24.45

Sale price= 81.50-24.45

= 57.05

Hence the sale price is $57.05

Read more on sale price here
https://brainly.com/question/30598592

# SPJ1

To represent the hourly wage of an employee at the antique store, we can use the following equation:
y = 15 + 0.75x
where y represents the worker's hourly wage, and x represents the number of years the employee has worked at the store. In this equation, 15 is the initial hourly wage, and 0.75 is the annual raise.

The equation that shows how a worker's hourly wage, y, depends on the number of years he or she has worked at the store can be written as:

y = 15 + 0.75x

where x represents the number of years the employee has worked at the antique store.

This equation takes into account the starting wage of $15 per hour and the $0.75 raise that the employee receives each year they work at the store.

So, for example, if an employee has worked at the store for 5 years, their hourly wage would be:

y = 15 + 0.75(5) = 18.75

where y represents the worker's hourly wage, and x represents the number of years the employee has worked at the store.

Learn more about Number:

brainly.com/question/17429689

#SPJ11

The value of E(Z)=[tex]=e^{\frac{2}{3} }[/tex]

To find the pdf of Z, we need to use the transformation formula for pdfs:

[tex]f_Z(z) = f_X((g)^{(-1)}z ) * |(\frac{d}{dz}) (g)^{-1} (z)|,[/tex]

where [tex]g(x) = e^x[/tex] and [tex](g)^{-1} (z) = ln(z)[/tex] since [tex](e)^{(ln(z)} = z[/tex].

So, we have:

[tex]f_Z(z) = f_X(ln(z)) * |\frac{d}{dz} ln(z)|[/tex]

[tex]=\frac{1}{3z} (for 0 < z < e^2)[/tex]

To find E[Z], we can use the definition of expected value:

[tex]E(Z) = \int\limits {0^{e^{2} } } z f_Z(z) dz \,[/tex]

[tex]E(Z) = \int\limits {0^{e^{2} } } z (\frac{1}{3z} ) dz \,[/tex]

[tex]= (\frac{1}{3} ) \int\limits {0^{e^{2} } } dz \,[/tex]

[tex]= (\frac{1}{3} ) {e^{2} -0 }[/tex]

[tex]=e^{\frac{2}{3} }[/tex]

To know more about "transformation formula" refer here:

https://brainly.com/question/30236205#

#SPJ11

The expression in terms of x, for the perimeter of the quadrilateral is:

22x + 12

The perimeter of an object is the sum of the sides of the the object. Thus, the perimeter of the quadrilateral can be found by adding all the four sides of the quadrilateral. That is:

Perimeter = (3x-5) + (2x+7) + (15x-2) + (2x-3)

Perimeter =  3x-5 + 2x+7 + 15x-2 + 2x-3

Perimeter =  22x + 12

Therefore,  the expression in terms of x, for the perimeter is 22x + 12.

Learn more about perimeter  on:

https://brainly.com/question/17297081

#SPJ1

Complete question

Check the image

The time it takes the ball to strike the ground after it is thrown, found using the kinematic equation, H = -16·t² - 24·t + 200 is approximately 2.86 seconds

We know  that,

A kinematic equation is an equation of the motion of an object moving with a constant acceleration.

The direction in which the ball is thrown = Downwards

Height of the building = 200 foot

Initial velocity of the ball = 24 ft./s

The kinematic equation that indicates the height of the ball after t seconds is, H = -16·t² - 24·t + 200

At ground level, H = 0, therefore;

H = 0 = -16·t² - 24·t + 200

-16·t² - 24·t + 200 = 0

-2·t² - 3·t + 25 = 0

t = (3 ± √((-3)² - 4 × (-2)×25))/(2×(-2))

t = (3 ± √(209))/(-4)

t =  (3 + √(209))/(-4) ≈ -4.36 and t =  (3 - √(209))/(-4)) ≈ 2.86

The time it takes the ball to strike the ground after it is thrown is approximately 2.86 seconds.

Learn more about kinematic equations in mathematics here:

brainly.com/question/4087917

#SPJ1

a)  The perimeter of the figure [tex]p = 12x + 19[/tex]

b) The perimeter of the figure when [tex]x = 4[/tex] is 67 units.

c)  The perimeter of the figure when[tex]x = 2[/tex] is 43 units

d)  The perimeter of the figure is [tex]3x^2 + 5x + 8[/tex] units.

a) The perimeter P of the figure is the sum of the lengths of its sides:

[tex]P = a + b + c + d[/tex]

Substituting the given expressions for a, b, c, and d in terms of x, we get:

[tex]P = (x + 7) + (2x + 2) + (8x) + (x + 10)[/tex]

[tex]= 12x + 19[/tex]

b) Substituting x = 4, we get:

[tex]P = 12x + 19[/tex]

[tex]= 12(4) + 19[/tex]

[tex]= 67[/tex]

Therefore, the perimeter of the figure when [tex]x = 4[/tex] is 67 units.

c) Substituting [tex]x = 2,[/tex] we get:

[tex]P = 12x + 19[/tex]

[tex]= 12(2) + 19[/tex]

[tex]= 43[/tex]

Therefore, the perimeter of the figure when[tex]x = 2[/tex] is 43 units.

d) Substituting the given expressions for a, b, c, and d in terms of x, we get:

[tex]P = x^2 + (4x + 8) + 2x^2 + x[/tex]

[tex]= 3x^2 + 5x + 8[/tex]

Therefore, the perimeter of the figure when[tex]a = x^2, b = 4x + 8, c = 2x^2,[/tex] and [tex]d = x[/tex] is [tex]3x^2 + 5x + 8[/tex] units.

To know more about Perimeter visit:

https://brainly.com/question/30252651

#SPJ4

The value of expression is,

⇒ x ÷ 12

We have to given that;

The algebraic expression is,

⇒ x divided by 12

Hence, We can formulate;

The value of correct expression is,

⇒ x ÷ 12

⇒ x / 12

Thus, The value of expression is,

⇒ x ÷ 12

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

a. The total number of possible committees is [tex]{10\choose 4} \times {14\choose 3} = 1001 \times 364 = 364364[/tex].

b. The number of committees on which the specific man and woman who refuses to serve on the committee are [tex]{8\choose 3} \times {9\choose 4} = 5040[/tex].

c. There are a limited number of combinations in which no two ladies are consecutive that is  [tex]4! \times {4\choose 3} 3! = 288[/tex].

(a) To form a committee of 7 people from 10 men and 9 women, we can choose 4 men out of 10 in [tex]{10\choose 4}[/tex] ways, and choose 3 more people from the remaining 5 men and 9 women in [tex]{14\choose 3}[/tex] ways. Therefore, the total number of possible committees is [tex]{10\choose 4} \times {14\choose 3} = 1001 \times 364 = 364364[/tex].

(b) If 1 woman refuses to be on the committee with a particular man, we can count the number of committees that do not include that particular man and that woman, and subtract that number from the total number of possible committees.

There are [tex]{9\choose 1}[/tex] ways to choose the woman who refuses to be on the committee with the particular man, and [tex]{8\choose 3}[/tex] ways to choose the remaining 3 women. There are [tex]{9\choose 4}[/tex] ways to choose 4 men out of the 9 remaining men.

Therefore, the number of committees that include the particular man and the woman who refuses to be on the committee is [tex]{8\choose 3} \times {9\choose 4} = 5040[/tex]. The total number of possible committees is [tex]{10\choose 4} \times {9\choose 3} = 12600[/tex]. Thus, the number of possible committees that do not include the particular man and the woman who refuses to be on the committee is 12600 - 5040 = 7560.

(c) There are [tex]{10\choose 4}[/tex] ways to choose 4 men out of the 10 men, and {9\choose 3} ways to choose 3 women out of the 9 women. The total number of possible ways to form a committee of 4 men and 3 women is [tex]{10\choose 4} \times {9\choose 3} = 12600[/tex]. To calculate the probability that no women are next to each other in the queue, we can count the number of arrangements where no two women are consecutive and divide it by the total number of possible arrangements. We can arrange the 4 men in a line in 4! ways, and arrange the 3 women in the 4 spaces between the men in [tex]{4\choose 3} 3![/tex] ways. Therefore, the number of arrangements where no two women are consecutive is [tex]4! \times {4\choose 3} 3! = 288[/tex]. The probability that no women are next to each other in the queue is 288/12600 = 0.0229, or about 2.29%.

Learn more about probability on:

https://brainly.com/question/13604758

#SPJ11

The surface area of the composite figure is 1474 square feet.

In the composite figure, there are two shapes rectangular prism and triangular prism.

Surface area of rectangular prism = 2(lb+bh+hl)

= 2(19×9+9×11+11×19)

= 958 square feet

Surface area of triangular prism = (Perimeter of the base × Length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)L + bh

= (13+13+10)×11+10×12

= 516 square feet

Total surface area = 958+516

= 1474 square feet

Therefore, the surface area of the composite figure is 1474 square feet.

To learn more about the rectangular prism visit:

https://brainly.com/question/27812749.

#SPJ1

G and H in terms of x and y is given by H = [tex]B^d[/tex](a, 1) and G = [tex]B^{d_2}(0, 1)[/tex] , the  set S of all possible values of y is x+y≥0 the Cartesian coordinates systems is S = [-7/5, -3/5].

Choosing a point O of the line (the origin), a unit of length, and an orientation for the line are all steps in choosing a Cartesian coordinate system for a one-dimensional space, or for a straight line. The line "is oriented" (or "points") from the negative half towards the positive half when an orientation determines which of the two half-lines given by O is the positive half and which is the negative half. Then, depending on which half-line contains P, the distance between each point P on the line and O can be specified.

a) O = (0, 0) a = (2, -1)∈R²

G = [tex]B^{d_2}(0, 1)[/tex]

D = [tex]\sqrt{x^2+y^2}[/tex] < 1

So this is a circle until center at (0, 0) and no point on

[tex]x^2+y^2[/tex] and every point inside it

H = [tex]B^d[/tex](a, 1) = {v=(x,y)∈R²: d(a, v)≤1}

b) x-2 + y=1 ≤ 1

x-y ≤4

For, x-2≤0, y+1≥0  we get,

2-x+y+1≤1 y-x ≤-2

For, x-2≤0,   y+1≤0,   2-x-y-1≤1

x+y≥0

c) Therefore,

d(a, (13/5, y) ≤ 1

(13/5 -2) + (y +1) ≤ 1

S = [-7/5, -3/5].

Learn more about Cartesian coordinates:

https://brainly.com/question/31309799

#SPJ4

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

[tex]ax^2+bx+c[/tex]

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex], where x is the root(s)

[tex]b^2-4ac[/tex]

(a.) For 4x^2 + 16x - 9b, 4 is our a value, 16 is our b value and -9 is our c value:

[tex]16^2-4(4)(-9)\\256+144\\400 > 0[/tex]

(b.) For 2x^2 + 80x + 400, 2 is our a value, 80 is our b value, and 400 is our c value:

[tex]80^2-4(2)(400)\\6400-3200\\3200 > 0[/tex]

(c.) For x^2 - 6x - 9, 1 is our a value, -6 is our b value and -9 is our c value

[tex](-6)^2-4(1)(-9)\\36+36\\72 > 0[/tex]

(d.) For 4x^2 - 12x + 9, 4 is our a value, -12 is our b value, and 9 is our c value:

[tex](-12)^2-4(4)(9)\\144-144\\0=0[/tex]

[tex]x=\frac{-(-12)+/-\sqrt{(-12)^2-4(4)(9)} }{2(4)}\\ \\x=\frac{12+/-\sqrt{0} }{8} \\\\x=12/8=3/2\\or\\x=1.5[/tex]

The value ox in each of the equations given are:

1. x = 3        2. x = 5

For each of the equation given, we can solve to find the value of x by isolating the variable to one side of the equation while applying the properties of equality.

1. 2x + 5 = 11

2x = 11 - 5 [subtraction property of equality]

2x = 6

x = 6/2 [division property]

x = 3

2. 3x - 6 = 9

3x = 9 + 6 [addition property]

3x = 15

3x/3 = 15/3 [division property]

x = 5

Learn more about value of x in an equation on:

https://brainly.com/question/24719530

#SPJ1

The longer leg of the triangle is 17✓3 yards based on the information of triangle and shorter leg length.

We will use law of sines relating an angle and it's opposite side -

sin shorter angle/shorter side = sin longer angle/longer side

The formula is as per the known fact that wide angle will have wider side opposite to it

Keep the values in formula -

sin 30/17 = sin 60/longer side

Longer side = 17 sin 60/sin 30

Substitute the values of sin 30 and sin 60

Longer side = (17 × ✓3/2)/(1/2)

Longer side = 17✓3 yards.

Thus, the longer leg of the right triangle is 17✓3 yards.

Learn moe about right triangle -

https://brainly.com/question/29869536

#SPJ4

There is no point x in the interval [x1, x2] such that f(x) = y, which contradicts the intermediate value theorem. Hence, no such function f can exist.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range.

a) One example of such a function is f(x) = x² on the interval [-1, 1]. Note that f(-1) = f(1) = 1 and for any other value y in the range (0, 1], the preimage [tex]f^{(-1)}[/tex] (y)  consists of exactly two points, namely sqrt(y) and -sqrt(y). Similarly, for any y in the range [-1, 0), the preimage f^(-1)(y) consists of exactly two points, namely sqrt(-y) and -sqrt(-y).

b) To prove that no such function can be continuous, suppose for contradiction that f is a continuous function that is exactly two-to-one. Let y be a value in the range of f, and let x1 and x2 be the two distinct points in the preimage f^(-1)(y). Without loss of generality, we can assume that x1 < x2.

Since f is continuous, it must satisfy the intermediate value theorem. This means that for any value z between f(x1) and f(x2), there exists a point x in the interval [x1, x2] such that f(x) = z. In particular, this holds for the value y, since f(x1) = f(x2) = y.

Since f is exactly two-to-one, the preimage [tex]f^{(-1)}[/tex] (y) must consist of exactly two points. Therefore, there is no point x in the interval [x1, x2] such that f(x) = y, which contradicts the intermediate value theorem. Hence, no such function f can exist.

To learn more about functions from the given link:

https://brainly.com/question/12431044

#SPJ4

The correct answer is option D, the two-tailed single-sample t-test.

To determine which test should be used in this scenario, we need to consider the following factors:

Type of data: The data collected from the CT scans are continuous data.

Sample size: The sample size is small (11 in total).

Relationship between samples: The data from Jimmy's hippocampus is independent from that of his family members.

Based on these factors, we can eliminate options C and B, which both involve dependent samples.

Next, we need to determine whether we are comparing Jimmy's hippocampus volume to a known value or to the average volume of his family members. If we were comparing Jimmy's hippocampus to a known value (e.g. the population average), we would use a one-sample t-test (option A). However, since we are comparing Jimmy's hippocampus volume to the average volume of his family members, we need to use a two-sample t-test.

Therefore, the correct answer is option D, the two-tailed single-sample t-test.

To learn more about hippocampus visit:

https://brainly.com/question/28259826

#SPJ11

In the given circle, the length of major arc LNM is 29/3(π)

From the question, we are to calculate the length of the major arc in the given diagram

Length of an arc is given by the formula

Length = θ/360° × 2πr

Where θ is the angle subtended by the arc at the center of the circle

r is the radius of the circle

From the given information,

r = 6 cm

θ = 360° - 70°

θ = 290°

Substitute the parameters into the formula

Length = 290/360 × 2×π×6

Length = 29/3(π)

Hence,

Length of arc LNM is 29/3(π)

Learn more on Calculating length of an arc here: https://brainly.com/question/31314204

#SPJ1

The team that has best overall record for the season is the falcons because they have a larger mean value of 20.9 points

The mean of the dataset is defined the sum of all values divided by the total number of values. Therefore mean can be expressed as;

mean = sum of items/number of items

The mean value of Eagles = (3 + 24 + 14 + 27 + 10 + 13 + 10 + 21 + 24 + 17 + 27 + 7 + 40 + 37 + 55)/15

= 310/15 = 20.67

The mean value of falcons = (24 + 24  + 10 + 7 + 30 + 28 + 21 + 6 + 17 + 16 + 35 + 30 + 28 + 24 + 14)/15

= 314/15 = 20.93

Therefore since the mean value of falcons is higher than eagles, falcons has the best overall performance.

Read more about Mean of data at: https://brainly.com/question/1136789

#SPJ1