Find the degree of the polynomial and indicate whether the polynomial is a monomial, binomial, trinomial, or none of these. 4x^(3)+0.4 Classify the given polynomial. binomial trinomial monomial none of these

Answer:

\( \sf \: a) \: 27 = 9p \: ; p = 3\)

Step-by-step explanation:

Given information,

→ Simon have 27 pieces of candy.

→ Each person will get 9 pieces.

Now we have to,

→ Find the required equation.

The equation will be,

→ 27 = 9p

→ 9p = 27

=> As each person (p) gets 9 pieces.

Then the value of p will be,

→ 9p = 27

→ p = 27 ÷ 9

→ [ p = 3 ]

Hence, option (a) is correct.

Answer:

a) 3C1 * 12 C1 / 15 C2

b)  1 - 12C2 / 15C2

Step-by-step explanation:

Được

Viên bi đỏ = 3

Viên bi trắng = 5

Viên bi xanh = 7

Hai quả bóng được rút ra một cách ngẫu nhiên

a) Có 1 bi đỏ

3C1 * 12 C1 / 15 C2

b) Có ít nhất 1 viên bi đỏ trong số 2 viên lấy ra.

Số kết quả của việc chọn hai quả bóng trong số 15 quả bóng = 15 C2

Số kết quả của việc chọn 0 quả bóng đỏ = 15C12

Xác suất chọn được ít nhất 1 viên bi đỏ = 1 - 12C2 / 15C2

Answer:

n = 3

Step-by-step explanation:

It is given that W is between X and Y. It means,

WX = WY

or

XY = WX+WY

We have, WX=6n-10, XY=17, and WY=3n

So,

17= 6n-10+3n

Adding both sides 10

17+10= 6n-10+3n+10

27=9n

n = 3

Hence, the value of n is 3.

Answer:

Step-by-step explanation:

-9(c+7) = -13c+7

<=> -9c - 63 = -13c+7

<=> -9c + 13c = 7+63

<=> 4c = 70

<=> c = 70/4 = 35/2 = 17,5

-9(c+7) = -13c+7

-9(17,5+7) = -13×17,5+7

-220,5 = -220,5

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

F and D

Step-by-step explanation:

there 2 out of the other lead

Answer:

-48

Step-by-step explanation:

None of the distributions are positively skewed

A distribution that is positively skewed would have the following highlights:

The above means that none of the distributions are positively skewed.

This is so because:

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Answer:

Step-by-step explanation:

it’s d

Answer:

The fraction of the factor of 17.5 which is due to differences in capital per person is approximately 4.375, and the fraction due to differences in TFP is approximately 13.125.

Step-by-step explanation:

Based on the given information, we know that one-fourth (1/4) of the differences in per capita GDP across countries are due to differences in capital per person, and three-fourths (3/4) are due to differences in TFP.

Now, let's calculate the fractions for the United States and Kenya, given that the United States is 17.5 times richer than Kenya.

Let's represent the fraction due to differences in capital per person as "f_capital" and the fraction due to differences in TFP as "f_TFP".

Given:

f_capital = 1/4

f_TFP = 3/4

The factor of difference in wealth = 17.5

We need to determine the fractions of this factor of 17.5 that are due to each component.

The fraction due to differences in capital per person (f_capital) can be calculated as:

f_capital = (1/4) / (1/4 + 3/4)

f_capital = (1/4) / (4/4)

f_capital = 1/4

The fraction due to differences in TFP (f_TFP) can be calculated as:

f_TFP = (3/4) / (1/4 + 3/4)

f_TFP = (3/4) / (4/4)

f_TFP = 3/4

Now, to determine the fraction of the factor of 17.5 that is due to each component, we multiply each fraction by the factor:

Fraction due to differences in capital per person = f_capital * factor

= (1/4) * 17.5

= 4.375

Fraction due to differences in TFP = f_TFP * factor

= (3/4) * 17.5

= 13.125

Therefore, the fraction of the factor of 17.5 that is due to differences in capital per person is approximately 4.375, and the fraction due to differences in TFP is approximately 13.125.

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Correct Question:

That about one-fourth of the differences in per capita GDP across countries were due to differences in capital per person and about three-fourths were due to differences in TFP. Carry out this, calculation for Kenya. The United States is 17.5 times richer than Kenya; what fraction of this factor of 175 is due to differences in capital per person and what fraction is due to differences in TFP?

Answer:

Step-by-step explanation:

In order to get to choose the song Mark needs to roll a 1 since a 2 is the smallest number already rolled.

Probability of rolling a 1 is:

There are 16 people who share the worm.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this illustration, Vince brought 6 boxes of worms to use as bait while fishing with his friends if each person uses exactly 3 8ths of a box of worms

The number of people who shared the works will be:

= Number of worms / Amount collected by each person

= 6 ÷ 3/8

= 6 × 8/3

= 16

In conclusion, 16 people shared it.

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For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

Rectangle ABCD is a square.

Relation between rectangle and square?

Squares and rectangles each have four straight sides. However, a square's and a rectangle's mathematical characteristics are very dissimilar. For instance, a common distinction is that squares have equal sides on each side, whereas only the opposite sides of a rectangle are equal.

Radius of circle R = 4cm

let sides of rectangle is a,b

let rectangle be ABCD in which AB =CD= a , AC=BD=b

ACD is right angled triangle on C.

Then,

\(AD^{2} =AC^{2} +CD^{2} \\\\8^{2} =b^{2} +a^{2} \\\\64=b^{2} +a^{2} \\\\b^{2} =\sqrt{64-a^{2} }\)------(1)

Area of rectangle = Area of ΔACD + ΔABD

                             = \(\frac{1}{2} \times a\times b + \frac{1}{2} \times a\times b\)

Area of rectangle = a×b

by eqn (1)

             Area = \(a\times (\sqrt{64-a^{2} } )\)

For maximum area

\(\frac{dA}{da} =0\\\\a \times \frac{1}{\sqrt{64-a^{2} } } (-a)+(\sqrt{64-a^{2} } )\times(1)=0\)

\(\sqrt{64-a^2} -\frac{a^2}{\sqrt{64-a^2} } =0\\\\\frac{64-a^2-a^2}{\sqrt{64-a^2} } =0\\\\64-2a^2=0\\\\a^2=32\\\\a=\sqrt{32} \\\\In (1) eqn\\b=\sqrt{64-a^2} \\\\b=\sqrt{64-32} \\\\b=32\)

So, a=b

Means Rectangle ABCD is a square.

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False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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Step-by-step explanation:

this is essentially

(x-2)(x-3)(x-5) = 0

now to find the cubic function we just expand.

the answer:

x^3 - 10x^2 +31x - 30

The distance between points P(8, -19) and Q(13, -14) is √50 units and the coordinates of the midpoint M of the segment PQ are (21/2, -33/2).

To find the distance between points P(8, -19) and Q(13, -14), we can use the distance formula:

Distance d(P, Q)=√(x₂-x₁)²+(y₂-y₁)²

d(P, Q)=√(13-8)²+(-14+19)²

=√5²+5²

=√25+25

=5√2

Now let us find the  coordinates of the midpoint M of the segment PQ, we can use the midpoint formula:

M=(x₁+x₂/2 , y₁+y₂/2)

=(8+13/2, -19-14/2)

=(21/2, -33/2)

Therefore, the coordinates of the midpoint M of the segment PQ are (21/2, -33/2).

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Answer:

5 out of 9

Step-by-step explanation:

The required area of the shaded portion is given as 248.54 cm².

As mentioned, in the diagram below a circle is inscribed in a square. The radius of the circle is 17 cm.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

here,
The area of the shaded portion is given as,
= area of the square - an area of the circle
= [side]² - πr²
= [2r]²- πr²
Substitute the values,
= [2×17]² - 3.14 × 17²
= 284.54

Thus, the required area of the shaded portion is given as 248.54 cm².

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The z-score corresponds to 0.275 is -0.63.

The specific number of skateboards corresponding to the z-score from part (a) is 20,468.

We have,

(a)

To find the z-score corresponding to a specific percentage of days, we can use the standard normal distribution table or a calculator.

In this case, we are given that 45% of the days had a production of skateboards less than the specific value.

Since the standard normal distribution is symmetrical, we can find the z-score corresponding to 45% by finding the z-score that corresponds to

(1 - 0.45) / 2 = 0.275, which is the area to the left of the z-score.

Using the standard normal distribution table or a calculator,

We find that the z-score corresponds to 0.275 is:

= -0.63.

(b)

To find the specific number of skateboards corresponding to the z-score, we can use the formula:

x = μ + zσ

where x is the specific number of skateboards, μ is the mean (20,500), z is the z-score (-0.63), and σ is the standard deviation (55).

Substituting the values.

x = 20,500 + (-0.63) x 55

x = 20,468.35

Rounding to the nearest whole number,

x = 20,468.

Therefore,

The z-score corresponds to 0.275 is -0.63.

The specific number of skateboards corresponding to the z-score from part (a) is 20,468.

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The angle of rotation that will move the clockwise position of 5 to 8 is 225 degrees.

The circular movement of an item about a center is referred to as rotation. Different forms can be rotated by an angle about their central point. A rotation is a map in mathematics. The rotation group of a certain space is made up of all the rotations that revolve around a fixed point and form a group beneath a structure.

The given nut is in the shape of an octagon.

The total angle of a polygon is 360 degrees.

An octagon has 8 sides, so each rotation of the nut will result in an angle of:

Rotation = 360 / 8

Rotation = 45 degrees.

To move the position of 5 to 8, a total of 5 rotations are required.

Total rotation = (45)(5)

Total rotation = 225 degrees.

Hence, the angle of rotation that will move the position of 5 to 8 is 225 degrees.

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The B) constant variance assumption requires that all variation around the regression line should be equal at all possible values (levels) of the independent variable.

The constant variance assumption, also known as homoscedasticity, requires that the variance of the residuals (i.e., the differences between observed and predicted values) should be approximately the same across all levels of the independent variable.

This assumption is necessary for valid statistical inference in linear regression analysis because violations of constant variance can result in biased estimates of the regression coefficients and incorrect hypothesis tests.

The independent variable is the variable that is used to predict the dependent variable. The constant variance assumption applies to the residuals at all possible values of the independent variable. Therefore, the correct answer is B. constant variance, independent.

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To label a rectangular prism net follow: Identify the dimensions, Label the net, Verify the labels.

What is prism?

In geometry, a prism is a polyhedron that has two parallel congruent faces called bases, which are connected by a set of parallelograms or rectangles called lateral faces.

Labeling the length, width, and height on a rectangular prism net is usually done by following these steps:

By labeling the length, width, and height on a rectangular prism net, you can better visualize the dimensions of the solid and make accurate measurements.

Therefore, to label a rectangular prism net follow: Identify the dimensions, Label the net, Verify the labels.

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The main difference between independent and conditional probability lies in whether the occurrence of one event affects the probability of the other event. To test for independence, you can use the formula P(A and B) = P(A) * P(B).

Independent probability refers to the probability of one event occurring without being influenced by the occurrence or non-occurrence of another event. In other words, the probability of one event happening does not affect the probability of the other event happening.

Conditional probability, on the other hand, refers to the probability of an event occurring given that another event has already occurred. It takes into account the relationship between two events and how the occurrence of one event affects the probability of the other event.

To determine if two events, A and B, are independent or dependent, you can use the formula: P(A and B) = P(A) * P(B). If the product of the probabilities of events A and B is equal to the probability of both events occurring together, then the events are independent. If the product is not equal to the probability of both events occurring together, then the events are dependent.

In conclusion, the main difference between independent and conditional probability lies in whether the occurrence of one event affects the probability of the other event. To test for independence, you can use the formula P(A and B) = P(A) * P(B).

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The difference between independent and conditional probability lies in the relationship between two events. Independent probability refers to the occurrence of one event not affecting the probability of the other event. On the other hand, conditional probability refers to the probability of an event occurring given that another event has already occurred.

To determine if two events, A and B, are independent or dependent, you can use a numerical test called the product rule. The product rule states that if two events are independent, then the probability of both events occurring is equal to the product of their individual probabilities. Mathematically, this can be expressed as:
P(A and B) = P(A) * P(B)
To determine if two events are dependent, you can compare the actual probability of both events occurring together (P(A and B)) with the expected probability if the events were independent (P(A) * P(B)). If the actual probability is equal to the expected probability, the events are independent. If the actual probability is different from the expected probability, the events are dependent.
Let's consider an example to illustrate this concept. Suppose we have a deck of 52 playing cards, and we draw two cards without replacement. Event A is drawing a red card, and Event B is drawing a spade.

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Answer:

I can't Respond since I have no picture to help you or me

Step-by-step explanation:

Without the Picture I can't determine if the triangle ABC is congruent to triangle DEF by SAS, AB=DE

The z-score for Mike's ERA of 2.87 is -1.48, and the z-score for Betty's ERA of 3.32 is -0.68. Mike had a better year relative to his peers compared to Betty, as his z-score is lower, indicating a lower deviation from the mean ERA of male pitchers.

To calculate the z-scores for Mike and Betty's ERAs, we will use the formula:

z = (x - μ) / σ

where z is the z-score, x is the observed value, μ is the mean, and σ is the standard deviation.

For Mike:

x = 2.87 (Mike's ERA)

μ = 4.344 (mean ERA for males)

σ = 0.872 (standard deviation for males)

Using the formula, we can calculate Mike's z-score:

z = (2.87 - 4.344) / 0.872

z ≈ -1.48

For Betty:

x = 3.32 (Betty's ERA)

μ = 4.393 (mean ERA for females)

σ = 0.769 (standard deviation for females)

Using the formula, we can calculate Betty's z-score:

z = (3.32 - 4.393) / 0.769

z ≈ -0.68

The z-scores represent the number of standard deviations each player's ERA is from the mean ERA of their respective gender group. A negative z-score indicates that the observed value is below the mean.

Comparing the z-scores, we can see that Mike's z-score of -1.48 is lower than Betty's z-score of -0.68. This means that Mike's ERA deviates less from the mean ERA of male pitchers compared to Betty's ERA from the mean ERA of female pitchers.

Since the ERA is a measure of how well a pitcher performs (lower is better), having a lower z-score indicates a better performance relative to their peers. Therefore, Mike had a better year relative to his peers compared to Betty.


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I hope this is helpful....

Answer:

x = 1.5

Step-by-step explanation:

2x^2 = 3x

divide whole eqn by x

2x = 3

x= 3/2 =1.5

Answer:

x=2/3 or x=0

Step-by-step explanation:

1) Let's solve by factoring

since "x" is common in both 2x^2 and 3x let's take that out

first we have to bring "3x" to the left

so

2x^2-3x

next, factor of "x"

x(2x-3)=0

to solve, divide by x on both sides:

(2x-3)=0

add 3

2x=3

divide by 2

x=3/2

or x=0(since x(2x-3)=0, logically if x=0 then this equation would make sense)

Answer:

1.25 or \(1\frac{1}{4}\) pages per minute

Step-by-step explanation:

We are to determine the speed at which Sydney reads

Speed = total pages red / total minutes

50 / 40

The above fraction can be expressed its simplest form by dividing the numerator and the denominator by 10

5 / 4

the above fraction can be expressed as a mixed fraction as \(1\frac{1}{4}\) or as a decimal as 1.25 pages per minute

Answer:

Step-by-step explanation:

Kyo can watch 5 anime shows in 2 hours without taking a break.

In the given question

In 48 min Kyo watches 2 anime shows

In 1 minute Kyo watches 2/48 anime shows   ...(i)

Converting 2 hours  to mins , we get

2 hr= 120 min

From (i)

1 min= 2/48 anime shows

120 min = 120*(2/48) anime shows

=120*(1/24)

=10/2

=5

Therefore , Kyo can watch 5 anime shows in 2 hours without taking a break.

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