What statistical technique is used to make predictions of future outcomes based on present data? Analysis of variance Repeated measures Linear regression Correlational analysis

If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students

Total number of students in the class = 6 students

Number of students for best student = 1 student

Number of students for runner up = 1 students

Total number of students needed = 2

Here we have to use the combination

6[tex]C_2[/tex] = 6! / 2!(6 - 2)!

= 6! / 2! × 4!

Split the terms and cancel it

= 6 × 5 / 2 × 1

Multiply the terms

= 30 / 2

Divide the numbers

= 15 combinations

Therefore, there are 15 combinations

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The rectangular prism that has the dimensions of 3 inches by 4.75 inches by 20.5 inches, has a total surface area, found by adding the surface areas of the six faces of 346.25 in²

The surface area of a solid three dimensional object is the area of the boundary surface of the object and its surroundings.

The dimensions of the rectangular prism in the question can be defined as follows;

Let the length of the rectangular prism = 3 inches

Let the width of the prism = 4.75 inches

Let the height of the prism = 20.5 inches

The surface area, A, of a rectangular prism can be found using the formula

A = 2 × Length × Width + 2 × Length × Height + 2 × Height × Width

Therefore, the surface area of the rectangular prism in the question is found as follows;

Area, A = 2 × 3 × 4.75 + 2 × 3 × 20.5 + 2 × 20.5 × 4.75 = 346.25

The total surface area of the rectangular prism is; 346.25 in²

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Therefore, option (c)normality assumption is checked when looking at a  Q–Q plot in one-way ANOVA model.

In statistics, a Q–Q plot is a probability plot, a graphical method for comparing two probability distributions by plotting their quantiles against each other. A point on the plot corresponds to one of the quantiles of the second distribution plotted against the same quantile of the first distribution

Here,

normality assumption is checked when looking at a Q–Q plot in one-way ANOVA model.

Explanation: The core tenet of the assumption of normality states that the sample mean distribution (across independent variables) is normal. Technically speaking, the Assumption of Normality asserts that the mean's sampling distribution or the distribution of means among samples is normal.

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The probability that the two pets selected are of the same species  is 0.2426   .

In the question ,

it is given that ,

the number of puppies in the pet store = 6

the number of kittens in the pet store = 9

the number of lizards in the pet store = 4

the number of snakes in the pet store = 5

total animals = 24

the probability of selecting 2 puppies = ⁶C₂/²⁴C₂

the probability of selecting 2 kittens = ⁹C₂/²⁴C₂

the probability of selecting 2 lizards = ⁴C₂/²⁴C₂

the probability of selecting 2 snakes = ⁵C₂/²⁴C₂

So , the required probability is

= ⁶C₂/²⁴C₂  + ⁹C₂/²⁴C₂ + ⁴C₂/²⁴C₂  + ⁵C₂/²⁴C₂  

Simplifying further ,

we get ,

= 5/92 + 3/23 + 1/46 + 5/138

= 0.0543 + 0.1304 + 0.0217 + 0.0362

= 0.2426

Therefore , the required probability is 0.2426   .

The given question is incomplete , the complete question is

The pet store has 6 puppies , 9 kittens , 4 lizards and 5 snakes . if you select two pets from the store randomly, what is the probability that they are both the same species ?

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The inverse of the function f(x) = 4x is inverse of f(x) = x/4.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

F(x)= 4x

Let , y=4x

Now we will switch the variables x to y,

x= 4y

Simplify the expression so that y is by itself. And divide each side by 4

x/4= y

or f(x)= x/4.

Therefore, the inverse of the function f(x) = 4x is inverse of f(x) = x/4.

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Answer:

Step-by-step explanation:

The required graph of the given function d(x)=−1/2x−3 has been shown.

Given that, to plot the graph of the linear function,  d(x)=−1/2x−3.

What is the graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,

The graph of the liner function d(x)=−1/2x−3 can be plot by putting the values of the x in the equation which gives the value of y by calculating such an ordered pair we can plot the curve of the liner equation on the graph. i.e.

At x = 0

d(0) = -1/2 * (0) - 3

d(0) = -3

So, the ordered pair will be (0, -3).

Now, put x = 2

d(2) = -1/2 * 2 - 3

d(2) = -1 - 3

d(2) = - 4

So the ordered pair will be (2, -4)

joining these two points will show the graph of the given equation d(x)=−1/2x−3.

Thus, the required graph of the given function d(x)=−1/2x−3 has been shown.

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The system of linear equation of the line are y=2x-5 when (2,-1) is a solution of the first equation but not for the second equation.

Given that,

We have to find the system of linear equation in which (2,-1) is a solution of the first equation but not for the second equation and (5,5) is a solution for system of equation.

We know that,

To find the system of equation we have a formula that is

y=mx-mx₁+y₂

Here m is slope

m=-1-5/2-5

m=-6/-3

m=2

The equation is

y=2x-2(5)+5

y=2x-10+5

y=2x-5

Therefore, The system of linear equation of the line are y=2x-5 when (2,-1) is a solution of the first equation but not for the second equation.

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An Excel Combo Chart can display two different data series as different series type. A single Excel chart with two Y-axis that allows users to compare data is known as a combo chart.

Step 1: Arrange the data in the worksheet's columns and rows.

Step 2: Choose the information.

Step 3: Click the Combo chart icon on the Ribbon under the Charts group on the INSERT tab.

Step 4: Click each icon with your mouse.

step 5 Double-click the chart type that suits your data.

A combo chart combines two column charts, two line graphs, or a column chart and a line graph into one visual representation.

An Excel Combo Chart can display two different data series as different series type. A single Excel chart with two Y-axis that allows users to compare data is known as a combo chart.

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Answer:

x = 2

Step-by-step explanation:

6 : 4 = 3 : x

x = 4 * 3 / 6

x = 4/2

x = 2

The value of x in the given figure is 2

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

Given that, Triangle ABC is dilated into A'B'C'

We know that dilated triangles are similar

Hence, their corresponding sides are in equal ratio,

BC : B'C' = AC : A'C'

6 : 4 = 3 : x

x = 4 × 3 / 6

x = 4/2

x = 2

Hence, The value of x in the given figure is 2

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Answer: whats up

hello

Step-by-step explanation:

1) The probability of F2 seed chosen at random will be yellow is the same as asking about the probability of forming a yellow seed in that generation. The answer is 3/4 (75%) because 1/4 = 25% GG is homozygous dominant and the rest 2/4 = 50% Gg are heterozygous.

2) In the F2 generation there are two genotypes that will breed true, which is homozygotic genotypes: GG and gg. But of these two, only one of them is yellow. The answer is 1/3 because from all the yellow seeds that resulted (GG, Gg and gG) only one has the genotype for true breeding.

3) The probability of taking out three seeds in which a least one is yellow can be calculated by subtracting the only  probability that doesn't fit the criterion, which is taking out a green seed 3 times:   = 1/64.

Then subtract that to 1  =  63/64

4) there are three possible groupings in which the green is taken once and the yellow seeds taken twice. The first possibility (follow the example) is the green being the first to come out, another possibility is being the second and the last possibility is being taken in the third time.

For example, Green yellow yellow- probability :

= 9/64

This is one possibily, but since there are 3, multiply it by 3 and you obtain the final answer:27/64.

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The proportion of the class that scored higher than the student will be 0.0912.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The class normal is 85% and the standard deviation is 3%. Then the student from the class who earned 89% higher will be given as,

z = (0.89 - 0.85) / 0.03

z = 0.04 / 0.03

z = 1.3333

Then the probability is given as,

P(x > 89%) = P(z > 1.3333)

P(x > 89%) = 0.091211

The proportion of the class that scored higher than the student will be 0.0912.

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43920  is the lowest amount that a teacher needs to make and still be one of the top 7% earners with a mean of $38,000 and a standard deviation of $4,000

According to information provided to us, the pay for elementary school teachers in a certain nation is generally distributed, with a mean of $38,000 and a standard deviation of $4,000 per year.

To resolve the issue at hand, we shall make use of the normal distribution table. Finding the z-score corresponding to the top 7% or the 93% probability from the normal distribution table (0.93).

The normal distribution table provides us with the 1.48 z-score we need.

We will now solve for the sample score using the z-score formula as follows:

z = x - μ/σ

1.48 = x - 38,000/4000

1.48 × 4000 = x - 38,000

5920 = x - 38000

x = 5920+38000

x = 43920

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[tex] \frac{7}{30} [/tex]

The solution is attached to the answer.

Hope understands

To multiply the division expression 3/4 ÷ 1/3 is 9/4. Division expressions are mathematical expressions using division

  3/4 : 1/3

= 3/4 · 3/1

= 3·3/4.1

= 9/4

Hence this proved.

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As per area of rectangle, the dimensions of the box that yield the lowest cost is (1,1,6)

Area of rectangle:

The standard formula for area of rectangle is calculated as,

A = length x breadth

Given,

A closed rectangular box with volume 6 cubic feet is made from two different types of cardboard. the top and bottom are made with a heavy-duty cardboard that costs 30 cents per square foot. The sides are made from a light-weight cardboard that costs 5 cents per square foot.

Here find the dimensions of the box that yield the lowest cost.

Here let's consider the dimensions of the rectangular box be length l, breadth is b, and height is h.

Now, from the given information, the total cost can be derived as,

=> C=2lb×48+(2bh+2lh)×8

=> C=96lb+16bh+16lh

=> C=16(6lb+bh+lh) -----------------→(1)

Then the given volume is, V = lbh = 6 ---------------→(2) cubic feet.

Then the equation 2,

=> lbh = 6h = 6/lb

And then we have to substitute the value of h in equation 1, we get

=> C(l,b,h)=16(6lb+6/l+6/b)

Now we need to minimize the resulting function of two variables.

Therefore, we need to partially derivative the above function with respect to l,b. And set these equal to zero.

And the for l=0,b is undefined. So we can eliminate l=0.

Here we have to substitute l=1,b=112⇒1 in equation 2, we get

=> lbh=6(1)(1)h=6h=6h=6

Therefore, the critical point is, (1,1,6)

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1.9 × 10³ is 2.15 times more than 4.085 × 10⁵  

To find how many times a number can be smaller than another number we need to divide the large number by the smaller number.  

Example: how many times 5 is smaller than 25

               => 25/5 = 5   [ Since 5(5) = 25 ]  

Here we have

1.9 × 10³ and 4.085 × 10⁵

Let the number 1.9 × 10³ is x times smaller than 4.085 × 10⁵

Then 1.9 × 10³ (x) must be equal to 4.085 × 10⁵  

=>  1.9 × 103 (x) = 4.085 × 105  

=>  x = [tex]\frac{4.085 \times 105 }{1.9\times 103 }[/tex]  

=>  x = [tex]\frac{428.925 }{195.7 }[/tex]  

=>  x = 2.1917475 ≅ 2.15

Therefore,

1.9 × 10³ is 2.15 times smaller than 4.085 × 10⁵  

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The probability that they all are women is 0.0333 and that two of them are men is 0.50

There are 6 men and 4 women in your committee, that gives you a total of 10 people to choose from.

Without restrictions, there's a total of 10C3 ways to choose a subcommittee of 3 people.

a) A subcomitte of 3 people consisting of all women can be chosen in 6C0*4C3 ways.

So, the probability for the first problem is 6C0*4C3/10C3 = 0.0333

b) A subcommittee consisting of 2 men and 1 woman can be chosen in 6C2*4C1 ways.

So, the probability for this problem is 6C2*4C1/10C3 = 0.50.

Therefore, the probability that they all are women is 0.0333 and that two of them are men is 0.50.

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Disclaimer

the question given by you is incomplete, the answer is solved as per a similar question and the question is

A committee consist of six men and four women. A subcommittee is made by randomly choosing three of the committee members. What is the probability that: a. they are all women b. two of them are men?

Answer:

533

Step-by-step explanation:

3 hours = 180 minutes

2400 : 180 = x : 40

x = 2400 * 40 / 180

x = 2400 * 4 / 18

x = 2400 * 2 /9

x = 800 * 2 / 3

x = 1600/3

x = 533.333333

x = 533

6x - 11y = - 13 is the the equation of this line in standard form that is option A from the group of choices.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign. Linear equations are classified into three types: point-slope, standard, and slope-intercept. Coefficients, variables, operators, constants, terms, expressions, and an equal to sign are all components of an equation. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other.

Here,

6x - 11y = - 13 is the the equation of this line in standard form that is option A from the set of possibilities.

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The 3 combinations of coins with the value of 30% of a dollar are 2 dimes + 1 Nickel + 5 Pennies, 1 dime + 2 Nickels + 10 Pennies, 3 Nickels + 1 dime + 5 Pennies.

How many types of coins are there?

There are 4 types of coins. They are Quarter, Nickel, dime, and Penny.

1 Quarter = 25 cent

1 dime = 10 cents

1 Nickel = 5 cents

1 penny = 1 cent

Now calculate 30 percentage of a dollar.

1 dollar = 100 cents.

30% of 100 cents = (30/100) × 100 = 30 cents.

2 dimes + 1 Nickel + 5 Pennies = 20 cents + 5 cents + 5 cents = 30 cents

1 dime + 2 Nickels + 10 Pennies = 10 cents + 10 cents + 10 cents = 30 cents

3 Nickels + 1 dime + 5 Pennies = 15 cents + 10 cents + 5 cents = 30 cents

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Answer:

3x2a2-15xa+10

Step-by-step explanation:

Answer: 12 years

Step-by-step explanation:

We know that the population decrease rate is 4% each year

So take 7900 times 0.04% = decrease 316 people each year

Then take 7900 - 4300 = 3600 people need to get there

Then take 3600 divided by 316 = 12 years

The equation that represents the number of pages Ben can read per minute is p = (3/4)m.

The two quantities are said to be in a directly proportionate relation when the connection between them is such that if we increase one, the other will also increase, and if we reduce one, the other quantity will also drop.

If x and y are in direct proportion then

=>  x ∝ y

=>  x = ky  [ where k is constant ]

Here we have,

Ben reads 6 pages in 8 minutes

9 pages can be read in 12 minutes

30 pages can be read in 40 minutes

And the number of minutes = m

Number of pages = p

If observe the given data,

When the number of pages increases, the number of minutes are also increasing, So here we can conclude that the number of minutes is directly proportional to the number of pages

=> p ∝ m

=> p = km --- (1)  

[ where k is constant ]  

From the given data,

At p = 6 pages, m = 8 minutes

=> 6 = k(8)

=> k = 6/8 = 3/4

From (1)

=> p = (3/4)m

Therefore,

The equation that represents the number of pages Ben can read per minute is p = (3/4)m

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Hi how are you call 112 you will get nice

For the subintervals -

For the stated intervals;

interval [-4,4]

Total interval length;

= 4 - (-4)

= 4 + 4

= 8

Divide the interval in n=4 equal subintervals.

8/ 4 =2

First subinterval;  [-4,-2]

Second subinterval;  [-2,0]

Third subinterval;  [0,2]

Fourth subinterval;  [2,4]

Thus,

right endpoints:  [2,4]

left endpoints: [-4,-2]

midpoints: [-2,0] and [0,2]

Thus, the subintervals of the given interval [-4,4] is obtained.

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The disadvantage is that the coefficients of x in the four equations can only take two values, so if one of every values ​​is m, the alternative will be -1/m.

A relationship between two terms on either side of an equal sign is depicted by a straightforward equation.

Simple equations also pursue one or a mixture of the four arithmetic computations of addition, simple arithmetic, multiplication, and division.

There are three basic forms of the system of equations: point-slope form, standard form, and slope-intercept form.

So, Shannon's error:

In a rectangle, the neighboring sides are perpendicular to one other, whereas parallel runs between the opposing sides.

The slope of line segments is equal, and the slope, of a perpendicular line to some other line with a slope, m, is -1/m , thus the slopes of the axis of symmetry should be equal, which gives:

The equation should consist of two sets of linear equations with equal slopes: B. Pair y = -x + 6 and y = -x - 5

Therefore, the slopes of the other two lines are -1/-1 = 1 and the equations of the other two lines are y = x - 4 and y = x - 5 respectively.

Therefore, the disadvantage is that the coefficients of x in the four equations can only take two values, so if one of every values ​​is m, the alternative will be -1/m.

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The graph that shows the function with the determined behavior is the last graph, circled on the image given at the end of the answer.

The graph of a function is classified as either increasing, decreasing or constant, as follows:

Hence the fourth graph on the image given at the end of the answer is the one with the desired behavior on each interval.

The graphs are given by the image shown at the end of the answer.

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Answer:

5.4* 10^-2

Step-by-step explanation:

The value of the exponential equation is A = 5.4 x 10⁻²

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the number be represented as n

The value of n = 0.054

On simplifying the equation , we get

A = 5.4 x 10⁻²

On further simplification , we get

A = 0.054

Hence , the exponential equation is A = 5.4 x 10⁻²

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Answer:

a. Point B

b. Point D

c. Point E

d. Point B

Step-by-step explanation:

See the attached image for a graphed solution with color-coded lines drawn.