What is 57 x -3 (4x -5y)?

Answer:

7/12

Step-by-step explanation:

umm the question is confusing but this is the answer i got if i understood it correctly

Answer:

Step-by-step explanation:

ft7654

The solution for the given expression is 14∛x. The correct option is (C).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

5∛x + 9∛x

The given expression can be simplified as follows,

5∛x + 9∛x

Here, both the terms have equivalent variables. So, both are like terms.

As per the rules like terms can be added or subtracted keeping the variable as the same.

Thus, 5∛x + 9∛x = 14∛x

Hence, the given expression can be evaluated as 5∛x + 9∛x = 14∛x.

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(a)let A=event that first k-1 draws will get r-1 red balls

let B=event that last (kth) draw will get rth red ball

P(kth draw is the rth red ball)= P(A AND B) = P(A)xP(B)

(b)P(A)=  # of  ways to draw r-1 red balls in k-1 trail

         # of ways to draw k-1 balls

RBBB *R is one way to achieve P(A AND B)

BBBR *R is another way.

(c)There are n−(r−1) red left, and a total of (m+n)−(k−1) balls left, so the (conditional) probability of drawing a red on the kth trial is n−r+1/m+n−k+1 Thus our required probability is

So,  P(A)= nC(r-1) x mC(n-r) x 1/(n+m)C(k-1)

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Answer:

9y+2

Step-by-step explanation:

You divide everything by 3

27y/3= 9y

6/3=2

Then add

9y+2

Hope this is helpful!

Answer:

9y + 2

Step-by-step explanation:

cuz 1/3(27) = 9y

and 1/3(6) = 2

add them and equals 9y + 2

Answer:

sale price is $104

Step-by-step explanation:

Answer:

$104.00

Step-by-step explanation:

So we know that in the equation:

S = P - 0.20P

P is the original price and S is the sale price, which is also the original price reduced by 20%.

We are also given that the original price of a digital media player is $130.00.

We are asked to find the sales price of that digital media player. To do this, we can plug in $130.00 for P in the given equation, since it is the original price of the digital media player, and solve for S, the sales price:

S = 130 - (0.20)(130)

S = 130 - 26

S = 104

So now we found the sales price of the digital media player, which is $104.00.

I hope you find my answer helpful.

By algebra properties, the simplified form of the trigonometric equation cot² x / (csc x - 1) is  csc x + 1.

In this problem we find the case of a trigonometric equation, whose simplified form must be found. The simplification can be done both by algebra properties and trigonometric formulas. Now we proceed to determine the simplificated form:

cot² x / (csc x - 1)

(csc² x - 1) / (csc x - 1)

[(csc x + 1) · (csc x - 1)] / (csc x - 1)

csc x + 1

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Answer:

85°

Step-by-step explanation:

x+32°+63°=180°(being sum of interior angle of triangle)

x=180°-95°

:. x=85°

The fact that multiple number of models of abnormality exist is caused by cultural and social values, cognitive bias, biological factors and limited research. Therefore, the answer is B. Cognitive bias.

The fact that multiple number of models of abnormality exist is caused by a variety of factors. Cultural and social values play a key role in influencing how mental health is viewed and understood. Biological factors, such as genetic predispositions and changes in the brain, can also contribute to psychological distress. Limited research on the subject has led to many different models of abnormality being developed, each with its own unique set of criteria for diagnosing mental health disorders. However, cognitive bias, or the tendency to think of certain behaviors and thoughts as abnormal, is not a major cause of the existence of multiple models of abnormality.

the complete question is :

according to the text, the fact that multiple models of abnormality exist is caused by all of these except:

A. Cultural and social values

B. Cognitive bias

C. Biological factors

D. Limited research

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The diagram below represents the area approximated using rectangular elements,

The interval width when an interval [a,b] is divided into 'n' rectangles is given by,

According to the given problem,

Then the width of each interval will be,

The left end-points of the approximating rectangles are,

The value of the function at that left end-point gives the height of that rectangle. So the height of each rectangle will be,

Then the approximate area (A) under the curve between the limits is given by the sum of the areas of all these 4 approximating rectangles,

Substitute the values and simplify,

Thus, the approximate area under the curve between the given limits is 60 square units.

Answer:

12870 ways

Step-by-step explanation:

10c2*13c3

10!/(10-2)!2! *13!/(13-3)!3!

[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]

45*286

12870 ways

Answer: The old oak tree and the granite boulder are \(\sqrt{26}\) units apart.

Step-by-step explanation:

The distance between points (a,b) and (c,d) is given by :-

\(d=\sqrt{(c-a)^2+(d-b)^2}\)

Given: The position of oak tree = (1, 10)

The position of granite boulder = (-5,9)

The distance between oak tree and granite boulder  = \(\sqrt{(10-9)^2+(1-(-5))^2}\)

\(=\sqrt{(1)^2+(1+5)^2}\\\\=\sqrt{1+25}\\\\=\sqrt{26}\text{ units}\)

Hence, the old oak tree and the granite boulder are \(\sqrt{26}\) units apart.

Find the adjacent side

3^2 = 2^2 + b^2

b^2 = 9 - 4

b^2 = 5

b = squared root of 5

It should be noted that the power that the volunteers use to pushe the van is 200 watts.

From the information, they used a total force of 1,200 newtons and ater pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.

It should be noted that power is calculated as:

Power = Force × Displacement / Time

Force = 1200 Newton

Displacement = 150 meters

Time = 15 minutes = 15 × 60 = 900 seconds.

Therefore, the power that the volunteers use to pushe the van is:

Power = Force × Displacement / Time

=(1200 × 150) / 900

= 200 Watt.

Therefore, it should be noted that the power that the volunteers use to pushe the van is 200 watts.

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Answer:

30 cm

Step-by-step explanation:

let x be the lenght of the two sides of equal lenghts, so the other is x+3

and the perimeter is x+x +x +3

P=3x+3

P=3(x+1)

93=3(x+1)

31=x+1

x=30

so the shorter sides are of 30 centimeters and the longest is 33

Answer:.

Step-by-step explanation im not sure

Answer:

Step-by-step explanation:

47.)  sin20 = 6/b

b = 6(sin20) = 17.5

c = √6²+17.5² = 18.5

48.)  tan61 = y/18

y = 18(tan61) = 32.5

z = √18²+32.5² = 37.1

49.)  r = √25²+23² = 34

50).  d = √30²+7² = 30.8

51.)  sin71 = j/19

j = 19(sin71) = 18

k = √19²-18² = 6.2

52.)  y = √4²-1² = √7 = 2.6

53.)  sin49 = f/26

f = 26(sin49) = 19.6

h = √26²-19.6² = 17

54.)  t = √7²+4² = 8.1

Answer:

\(\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}\)

Step-by-step explanation:

We want to solve the equation:

\(\cos(x)\tan(x)=\cos(x)\)

On the interval [0, 2π).

First, we can subtract cos(x) from both sides:

\(\cos(x)\tan(x)-\cos(x)=0\)

Factor:

\(\cos(x)\left(\tan(x)-1\right)=0\)

Zero Product Property:

\(\cos(x)=0\text{ or } \tan(x)-1=0\)

Solve for each case:

\(\cos(x)=0\text{ or }\tan(x)=1\)

Using the unit circle:

\(\displaystyle x=\left\{\frac{\pi}{4}, \frac{\pi}{2}, \frac{5\pi}{4}, \frac{3\pi}{2}\right\}\)

However, since tangent isn't defined for π/2 and 3π/2, we remove them from our solutions. Hence:

\(\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}\)

Answer:

becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2

Answer:

Is 2/4 smaller than 2/3? These are the same questions with one answer.

To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:

2/4 = 0.5

2/3 = 0.667

Then, we compare the two decimal numbers to get the answer.

0.5 is less than 0.667.

Therefore, 2/4 is less than 2/3 and the answer to the question "Is 2/4 less than 2/3?" is yes.

i  think this will help

The given point estimators are unbiased and estimator b₁  is more efficient than b₂.

A statistic used to precisely estimate a population parameter is called an "unbiased estimator." An estimator's expected value must match the population parameter's value to be considered unbiased. The discrepancy between an estimator's expected value and the parameter value is known as bias. The estimator tends if this difference is not zero.

a) To show whether the given point estimators are unbiased, first, find whether the expected value of the given estimators is equal to the population parameter μ.

\(\begin{aligned}E(b_1) &= E(0.10X_1 + 0.20X_2 + 0.40X_3 + 0.30X_4)\\&=0.10E(X_1) + 0.20E(X_2) + 0.40E(X_3) +0.30E(X_4)\\&=0.10\mu+0.20\mu+0.40\mu+0.30\mu\\&=\mu\\E(b_2) &= E(0.25X_1 + 0.25X_2 + 0.30X_3 + 0.20X_4)\\&=0.25E(X_1) + 0.25E(X_2) + 0.30E(X_3) +0.20E(X_4)\\& = 0.25\mu + 0.25\mu + 0.30\mu + 0.20\mu\\&=\mu \end{aligned}\)

Therefore, both estimators are found to be unbiased.

b) To show which estimator is more efficient, first, find the two-point estimators' variance.

\(\begin{aligned}V ar(b_1)&= Var(0.10X_1+0.20X_2+0.40X_3+0.30X_4)\\&= 0.10^2V ar(X_1)+0.20^2Var(X_2)+0.40^2Var(X_3)+0.30^2Var(X_4)\\&= 0.10^2\sigma^2+ 0.20^2\sigma^2+ 0.40^2\sigma^2 + 0.30^2\sigma^2\\&=0.3\sigma^2\\Var(b_2)&= Var(0.25X_1+0.25X_2+0.30X_3+0.20X_4)\\&= 0.25^2Var(X_1)+0.25^2Var(X_2)+0.30^2Var(X_3)+0.20^2Var(X_4)\\&= 0.25^2\sigma^2 + 0.25^2\sigma^2 + 0.30^2\sigma^2 + 0.20^2\sigma^2\\&= 0.255\sigma^2\end{aligned}\)

From this, we can say that Var(b₁) > Var(b₂). Therefore, b₁ is more efficient.

The complete question is -

Let X₁, X₂, X₃, and X₄ be a random sample of observations from a population with mean μ and variance σ². Consider the following two-point estimators:

b₁ = 0.10X₁ + 0.20X₂ + 0.40X₃ + 0.30X₄, and

b₂ = 0.25X₁ + 0.25X₂ + 0.30X₃ + 0.20X₄

(a) Show that both estimators are unbiased.

(b) Which estimator is more efficient, b₁ or b₂? Explain in detail.

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Answer:

x 64 3pk1

Step-by-step explanation:

Step-by-step explanation:

54-month loan with a 6% annual simple interest rate plaese awnser correctly ned today step by step can you tell me

Answer:

A)  Mr. Simpson's class; it has a larger median value 14.5 pencils.

Step-by-step explanation:

A box plot is a visual display of the five-number summary:

From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:

Mr Johnson's class:

Mr Simpson's class:

In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.

The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.

The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).

As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.

In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.

The mean is approximately 78.5 and the median is 80.5.

Statistics is a branch of mathematics that involves the collection, analysis, interpretation, presentation, and organization of data. It is used to gain insights and knowledge from data and to make decisions based on the information that data provides.

Statistics can be divided into two main areas: descriptive statistics and inferential statistics. Descriptive statistics involve the analysis and summary of data using measures such as central tendency (mean, median, mode) and variability (standard deviation, variance). Inferential statistics involve using sample data to make generalizations or predictions about a larger population.

Statistics is used in a wide range of fields, such as science, medicine, business, and social sciences. In science, statistics is used to test hypotheses and make conclusions based on experimental data. In medicine, statistics is used to analyze clinical trials and medical studies to determine the effectiveness of treatments. In business, statistics is used to make decisions based on market research and to analyze financial data. In social sciences, statistics is used to analyze survey data and to study human behavior and social phenomena.

To find the mean, we add up all the numbers and divide by the total number of games:

Mean = (73 + 77 + 85 + 84 + 37 + 115) / 6 = 471 / 6 ≈ 78.5

To find the median, we first need to put the numbers in order from smallest to largest:

37, 73, 77, 84, 85, 115

Since we have an even number of games, the median is the average of the two middle numbers, which are 77 and 84:

Median = (77 + 84) / 2 = 161 / 2 = 80.5

Therefore, the mean is approximately 78.5 and the median is 80.5.

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The complete question is:

Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.

Answer:

6-16y

Step-by-step explanation:

Distribute, 2 x 3 and 2 x 8

6-16y

Answer:

84

Step-by-step explanation:

First, there are 6 pages of work. then multiply 6 by the number of questions (14)

6x14=84