Find the value of x. A. Square root 3, B.3 square root 2 over 2

The two requirements that must be satisfied to perform a chi-square test are All Ei>=1  and no more than 20% of the Ei are less than 5.

What is chi-square?

In order to establish if the expected and actual findings are well-fitting, the statistical test known as chi-square compares the differences between categorical variables from a random sample.

For the given equation,

To perform a chi-square test,

All Ei>=1  and no more than 20% of the Ei are less than 5

Hence, these two are the important requirements to carry out the chi-square goodness of fit test.

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the 15 different ways can he select the days on which to have pizza

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

Arturo can have pizza for dinner on any two of the next six days.

he select the days on which to have pizza

So the number of ways c(6 2)

= [tex]\frac{6!}{4!2!}[/tex]

=[tex]\frac{30}{2}[/tex]

=15 ways

Hence the 15 different ways can he select the days on which to have pizza.

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The 500th term of the 7 count sequence 24,31,38,45,52 is 3517.

It should be noted that this is an arithmetic sequence. The formula is represented as:

a + (n - 1) d

where

a = first term

n = number of terms

d = common difference

Since the numbers are 24,31,38,45,52, the common difference is (3 - 25) = 7

The 500th term will be:

a + (n - 1) d

24 + (500 - 1) × 7

= 24 + (499 × 7)

= 24 + 3493

= 3517

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Answer:

(21-2x)/12

Step-by-step explanation:

15/5+1/2x(-4/7)=

15/5+x/2(-4/7)=

3+(-4/7)x/2=

3-(4/7)x/2=

3-(4x/(7*2))=

3-(4x/14)=

(3-4x/14)*14/14=

42/12 - 4x/14 =

(42-4x)/14=(21-2x)/12

The resultant of the reflection will be JK parallel to J'K'

What is transformation ?

resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.

The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.

Given JK parallel to LM

and it is reflected back by the y-axis.

So the resultant will be JK p[arallel to J'K'

Hence, The resultant of the reflection will be JK parallel to J'K'

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When studying the relationship between test performance and length of sleep (the night before), measure of association type of measurement is being examined.

What is measure of association?

Measure of association in statistics any of various factors or coefficient used to quantity a relationship between two or more variables.

Measure of association are used in various fields of research but are specially common in the areas of Epidermiology and Psycology, where they frequently are used to quantity relationships between exposures and behaviours.

Here length of sleeping and test performance is behavioural based relationship. It can best studied through measure of association.

Hence, when studying the relationship between test performance and length of sleep (the night before), measure of association type of measurement is being examined.

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The train has 12 carriages

Step-by-step explanation:

The total no. of seats =876

No. of seats per carriage =73

It is given that each carriage has equal seats

So,

Let the total no. of carriages be x

According to the given information,

[tex]73 \times x = 876[/tex]

[tex]x = 876 \div 73[/tex]

x = 12

Hence the number of carriages is 12

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The distance between you and your friend changing is 20 MPH for the bike riding.

Let x be the distance you've got got traveled, y be the space your buddies has traveled, and z be the space among you and your pal. From the hassle it's far obvious that dxdt is 16 mph and dydt is 12 mph.

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The joint probability density function of the sample is 1

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

Every Xi has distribution as shown below:

f(xi) = 1, 0<xi<1

When all Xis are independent, then the following is true.

f(x1,x2,x3,x4) = f(x1) f(x2) f(x3) f(x4)

                     = 1,  for all xi between 0 and 1

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The standard deviation of x - y is 12

X and Y are independent random variables

For random variable X, mean =120 and standard deviation =15

For random variable Y, mean =100 and standard deviation = 9

Let D be the difference of standard deviation of X and Y.

Variance can be defined as the square of standard deviation.

Hence, Variance of X = (standard deviation of X)2 = (15)2 = 225

And, variance of Y = (standard deviation of Y)2 = (9)2 = 81

SD(X - Y) = sqrt(SD(X)2 - SD(Y)2)

Hence, D = sqrt(225 - 81) = sqrt(14) = 12

Hence, the standard deviation of x - y is 12

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The method to find the range of the graph without graphing is explained below .

In the question ,

we have to explain how can we find the range of the graph without graphing .

we know that the Range of the function is the set of all its outputs.

let us understand it with the help of example .

So ,let y = 2-√(-3x+2) ,

we know that the result of the root function is always non negative ,

So , √(-3x+2) ≥ 0,

Multiply with -1 on both the sides ,

we get ,

-√(-3x+2) ≤ 0

Adding 2 to both sides

2 - √(-3x+2) ≤ 2

y ≤ 2

So ,the range will be (-∞ , 2] .

Therefore , the process to find the range is explained above .

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The probability that the sample proportion with rh-negative o blood types will be less than 12% is 0.93.

Given:

91 pts nine percent of Americans have rh-negative o blood type.

In a random sample of 200 Americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% = ?

Using central limit theorem,

P(p cap < p) = P(Z<p cap-p/√p(1-p)/n)

so,

P(p cap < 0.12) = P(Z<0.12-0.09/√(0.09×0.91/200)

= P(Z<1.4825)

= 0.9309 (from Z table)

= 0.93 (Rounded to second decimal place)

Hence we get the required answer.

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No. The sum of 2 whole numbers is not always less than their product.

A whole number is any positive integer running from 0 to infinity.

When we take up any 2 whole numbers and consider 0 or 1 as one of them, the sum of the 2 whole numbers is ging to be more than the product.

When we consider 1 number to be 0, the sum of the numbers will be the number itself. The product will be 0. Hence the sum is greater than the product.

Example- 0 and 25.

0 + 25

= 25

0 X 25

= 0

0 < 25

If we consider one number to be 1. The product of any number and 1 will be the number itself. Adding 1 to any number will in turn increase it. Hence, the sum is greater than the product.

Example- 1 and 78

1 + 78 = 79

1 X 78 = 78

Hence the sum of two whole numbers is not always less than the product.

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Answer:

Combined like terms- 9xy3−13y4+x3y+3x4−8x2y2

Simplified- 3x4+x3y−8x2y2+9xy3−13y4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

lol

The value is nothing but the worth of each digit depending on where it lies in the number and the value of 6 is 6

We know that the value in mathematics is nothing but the worth of each digit depending on where it lies in the number.

We calculate the value of number by multiplying the place value and face value of the digit.

Value = Place Value × Face Value

Place value is the value of the column in which the number is. Each column in a number holds a different place value.

For exa.,  consider a number 574. Here, the place value of the digit 7 is tens and the place value of 5 is hundreds.

The face value of any digit is the same digit.

For above number 574, the face value of 7 is 7, face value of 5 is 5.

Now, we need to find the value of 6.

The place value for 6 is 1 (units place) and the face value = 6

so, the value of 6 = 1 * 6

                            = 6

Therefore, the value of 6 is 6

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Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

[tex]\left(\frac{-9+9}{2}, \frac{5-7}{2} \right)=(0, -1)[/tex]

Answer:

Step-by-step explanation:

2345t

Option A is correct, the required simplified value of the x is given as 35.

In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°.

for the triangle sum of the interior angles is equal to 180°.

∠D + ∠E + ∠F = 180

2x + 2x - 4 + x + 9 = 180

5x + 5 = 180

5x = 175

x = 35

Thus, the required simplified value of the x is given as 35.

The sum of the measures of the interior angles of a triangle in Euclidean space is continually 180 stages. This reality is equal to Euclid's parallel postulate. This permits the determination of the degree of the 1/3 perspective of any triangle, given the measure of angles. An exterior perspective of a triangle is an attitude that is a linear pair (and subsequently supplementary) to an indoor angle.  

The degree of an exterior perspective of a triangle is the same as the sum of the measures of the 2 indoor angles that aren't adjoining to it; this is the outside perspective theorem. The sum of the measures of the 3 exterior angles (one for every vertex) of any triangle is 360 degrees.

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The degrees of freedom for the critical value F are (k-1,n-k).

Assume there are 4 sample groups, i.e.

k=4.

Also suppose that each of the four groups contains five observations.

So,

n=4*5

n=20

critical value F has degrees of freedom

(k-1,n-k)

( 4-1:20-4)

(3: 16).

Therefore , the degrees of freedom for the critical value of F is (3.16).

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Answer:

y = x - 1

Step-by-step explanation:

A line that includes the point (0, -1) has a slope of 1. What is its equation in

slope-intercept form?

slope-intercept form : y = mx + b where m is slope and b is the y-intercept.

you are give:

slope = 1

y-intercept = -1

y = mx + b

y = 1x + (-1)

y = x - 1

The four types of the slope of a line are positive, negative, zero, and undefined also known as infinite slope.

A line that is growing when seen from left to right has a positive slope.

A line that is declining when seen from left to right has a negative slope.

When seen from left to right or the other way around, a line with a zero slope is neither increasing nor decreasing. The slope of a horizontal line is zero, to put it simply.

The line is neither moving left nor right, as in the case of a vertical line, if the slope is undefined or infinite. A vertical line's slope might be either + ∞ or - ∞.

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The time at which the planes are at the same height is given as 6 minutes.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The expression for the height of the two airplanes in terms of time t is given as,

For the first airplane it is 35400 - 3300t,

And, for the second it is 2600t.

When, the two airplanes are at the same height the following equation can be written,

35400 - 3300t = 2600t

=> 35400 = 3300t + 2600t

=> 5900t = 35400

=> t = 6

Hence, both the planes are at the same height after 6 minutes.

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The value of t in -18 = -3t is 6.

A formula known as an equation uses the equals sign to denote the equality of two expressions. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

Given:

-18 = -3t

Solve the above equation as shown below,

Multiply both sides by -1

-18 × (-1)  = -3t × (-1)

18 = 3t

Divide both sides by 3 we get,

18 / 3 = 3t / 3

t = 6

Therefore, the value of t in -18 = -3t is 6.

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The estimation done by Owen is wrong because he estimated the amount of sodium very low.

Estimation is a process or way to roughly calculate the answer or solution of a given problem or question, estimation gives an approximate solution for a question.

Given that, Owen decides to buy a 2-pack of almond butter. He notices that each jar in the pack has 84 servings, and each serving has 20 milligrams of sodium.

Since, there are 20 mg of sodium in 1 serving,

Therefore, in 84 serving = 84x20 = 1680 mg of sodium.

And, there are 2 packs, therefore total amount of sodium in 2 packs = 1680x2 = 3360 mg

We calculated the amount of sodium to be 3360 mg, which is larger than the estimation of Owen.

Hence, Owen's estimation for amount of sodium is wrong.

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Answer:

Here

Step-by-step explanation:

54.5°

Answer:

63.4

Step-by-step explanation:

First, find the height of the tree relative to Henry by subtracting his height from the tree's height: 14 feet - 4 feet = <<14-4=10>>10 feet

Next, use the formula for finding the angle of elevation: tan(angle) = opposite side / adjacent side

Since the opposite side is the tree's height relative to Henry and the adjacent side is the distance between Henry and the tree, plug in the values: tan(angle) = 10 feet / 4 feet

Solve for the angle: tan(angle) = 2.5

Since the inverse tangent function is used to find the angle given the tangent value, find the inverse tangent of 2.5: angle = tan^-1(2.5) = 63.4 degrees

Round to the nearest tenth: 63.4 degrees rounded to the nearest tenth is 63.4 degrees. Answer: {63.4}.

To find the domain, we look around the x-axis from left to right because domain is about inputs and the range is partly determined by the pivotal point, or vertex.

In the given question we have to explain, how we can find the domain and range of a quadratic graph.

We are only interested in the horizontal aspect of the graph because domain is about inputs. The x-axis from left to right in search of areas where the graph doesn't exist in order to view the domain.

The range is partly determined by the pivotal point, or vertex. The parabola's opening direction is the other. The range is all real integers bigger than or equal to the range's y-coordinate if a quadratic function opens up. All real integers less than or equal to the range's y-coordinate are in the range if a quadratic function opens downward.

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