There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 blues?,

Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

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The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Given f(-8) = 0 (-8 is a root) and f(5) = 0 (5 is a root), then option d (x+8)(x-5) is the factor form.

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.

Given that  f(-8) = 0 (-8 is a root) and f(5) = 0 (5 is a root),

Minus eight and plus five are two roots of which expression we have to find.

Among the given options

(x+8)(x-5) is the expression

When we solve this

x+8=0

x=-8

Which is one of the required root

x-5=0

x=5 which is other root.

Hence (x+8)(x-5) is the required  factored form of the polynomial

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The correct answer is option b. When the homoskedasticity assumption is violated, The beta parameter estimates are biased while the rest of the OLS assumptions are correct.

When the homoskedasticity assumption is violated, the ordinary least squares (OLS) estimator is still consistent but no longer efficient. This means that the estimates of the regression coefficients (beta parameters) are still unbiased, but they have higher variances and covariances.

In other words, the OLS estimator is no longer the best linear unbiased estimator (BLUE) and it may be biased when the errors are heteroscedastic. Therefore, option b is correct.

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The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.

To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.

The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).

Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.

However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).

Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.

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Answer:

c

Step-by-step explanation:

log base 10 (5) is the expression

The value of the given expression can be written as log₁₀(5). which is the correct answer would be an option (C).

The logarithm of a number is often used in mathematics and science to simplify calculations and to solve equations involving exponential growth or decay.

In particular, the logarithm of a number is the exponent to which another fixed number, called the base, must be raised to produce that number.

As per the question, when you calculate the logarithm of 5 to base 10, written as log₁₀(5), you are finding the exponent to which 10 must be raised to produce the number 5.

Thus, the value of the given expression can be written as log₁₀(5).

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Answer:

  d = 23 1/3

Step-by-step explanation:

You want to solve the proportion (0.3d -1)/(3 1/3) = (0.84)/(7/15).

  \(\dfrac{0.3d-1}{3\dfrac{1}{3}}=\dfrac{0.84}{\dfrac{7}{15}}\qquad\text{given}\\\\\\\dfrac{3(0.3d-1)}{10}=\dfrac{15(0.84)}{7}\qquad\text{invert and multiply}\\\\0.09d -0.3=1.8\qquad\text{simplify}\\\\0.09d = 2.1\qquad\text{add 0.1}\\\\d=\dfrac{2.10}{0.09}=\dfrac{70}{3}\qquad\text{divide by 0.09}\\\\\boxed{d=23\dfrac{1}{3}}\)

__

Check

  (0.3·(70/3) -1)/(3 1/3) = 0.84/(7/15)

  (7 -1)/(10/3) = 1.8

  6(3/10) = 1.8 . . . . . . true

Answer: 23 1/3

Step-by-step explanation:

The slope of the line is -3 and the equation of the line formed by the points is y + 3x = 6.

From the table we can see that the line passes through the points:

(-6,6) ,(5,-3) ,(4,0) and (3,3) .

Let us consider any two points on the line (4,0) and (3,3) .

We know that the slope of the line can be found by using the intercept formula

Hence slope = (3-0) / (3-4) = 3/ -1 = -3

Now the equation of the line is :

y - 3 = -3(x-3)

or, y - 3 = -3x +9

or, y + 3x = 6

The letter m is frequently used to represent the slope of an object that resembles a line in the plane that contains the x and y axes. The slope is defined as the difference in two independent locations along the line expressed in y coordinate less by the equivalent difference in x coordinate.

Therefore slope of the line is -3.

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Answer: A. He should focus on his student loan debt and give himself a deadline of five years. This statement specifies a particular type of debt and sets a time-bound goal, making it both specific and timely.

Step-by-step explanation:

Answer:

\(C. \; \dfrac{x+2}{x+1}\)

Step-by-step explanation:

Since the vertical asymptotes are at x = -1

This means the denominator must have x + 1 in it

The only expression is the one in choice C

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Answer:

m<1 = 51 degrees

m<2 = 18 degrees

m<3 = 123 degrees

m<4 = 39 degrees

Step-by-step explanation:

To solve this problem, let's first try to find the measure of angle 1.

To do this, we must remember that the sum of the interior angles of a triangle must equal 180 degrees.  Using this knowledge, we can set up the following equation:

72 + 57 + m<1 = 180

Our first step in solving this equation is to simplify the left side by adding together the two constant terms.

129 + m<1 = 180

Next, we can subtract 129 from both sides of the equation.

m<1 = 51 degrees

Now, we can solve for angle 2.

We can see that angle 2 and the angle measuring 72 degrees together make a right angle, which is 90 degrees.  From this observation, we can set up the following equation:

m<2 + 72 = 90

To solve, we subtract 72 from both sides of the equation.

m<2 = 18 degrees

Now, we can solve for angle 3.

We can see from the diagram that angle 3 and the angle measuring 57 degrees are supplementary.  This means that their sum should equal 180 degrees, and the two angles together make a straight line.  This lets us set up the following equation:

m<3 + 57 = 180

To solve, we subtract 57 from both sides of the equation.

m<3 = 123 degrees

Finally, we can solve for angle 4.

We can solve for angle 4 using the same strategy we used to solve for angle 1.  Our equation for angle 4 is as follows:

m<2 + m<3 + m<4 = 180

18 + 123 + m<4 = 180

Let's first simplify the left side of the equation.

141 + m<4 = 180

We can subtract 141 from both sides of the equation as our next step.

m<4 = 39 degrees

Therefore, the correct answers are m<1 = 51 degrees, m<2 = 18 degrees, m<3 = 123 degrees, and m<4 = 39 degrees.

Hope this helps!

Answer:

he can run 24240 kilometers

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

an expression is like an equation without the equal sign, or according to the Oxford Dictionary: "a collection of symbols that jointly express a quantity."

Answer:

Yes

Step-by-step explanation:

An expression is a collection of symbols that jointly express a quantity, which means a set of symbols that equals a number. a,b, and c are all variables, meaning that its a expression

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

\(\cfrac{31\pi }{4}\implies \cfrac{8\pi +8\pi +8\pi +4\pi +3\pi }{4}\implies 2\pi +2\pi +2\pi +\pi +\cfrac{3\pi }{4}\)

so the angle θ  is really 3 revolutions plus π and then a little bit more, Check the picture below for the red reference angle.

Answer:179 /20

(Decimal: 8.95)

Step-by-step explanation:

2+3+4− 5 /100

=5+4− 5 /100

=9− 5 /100

=9− 1 /20

= 179 /20

Answer: 8.6

Step-by-step explanation:

The square root of 74 cannot be simplified, but its decimal form is 8.6.

Answer:

Step-by-step explanation:

The situation that can be represented by the given equation 340 + 5x - 650 - 8x is:

Sierra started with savings of $340 and spends $8 of her savings every week. Brian started with savings of $650 and adds $5 to his savings every week. The equation represents the difference in savings between Sierra and Brian after x weeks. The term "340 + 5x" represents the total savings of Sierra after x weeks, where she starts with $340 and adds $5 per week. The term "- 650 - 8x" represents the total savings of Brian after x weeks, where he starts with $650 and subtracts $8 per week. By equating the two expressions, we can find the value of x, which represents the number of weeks needed for Sierra and Brian to have the same amount of savings.

A sample of 24 pieces of work is considered for the checking the quality of the work,

a) Upper control limit of 99.73% confidence interval is 4

Lower control limit of 99.73% confidence interval is Zero.

The process is in control because all the values of the blemishes per unit are lie within the control limits .

The Control limits consist of two limits lower control limit and upper control limit within which the value of the statistical observations of a product are expected to lie. If the values lie outside these limits, then the process is called out of statistical control. We have,

Kate Drew has been hand-painting wooden Christmas ornaments for several years.

Sample size = 24 pieces

confidence level = 99.73% = 0.9973

The number of blemishes per unit is given as:

1,1,2,3,1,0,2,0,0,1,3,1,0,1,2,0,0,2,1,2,3,2,1,1.

The control limits are to be computed for the number of defects per piece . Let us consider the number of defects per piece be denoted by c. In that case, the control limits for c chart are used. The upper control limit (UCL) and lower control limit (LCL) for c chart is given by,

UCL = c-bar + 3 s.d

LCL = c-bar - 3 s.d

where c-bar = 1/n(€c) average number of defects

So, c-bar is computed as,

c-bar = (1+1+2+3+1+0+2+0+0+1+3+1+0+ 1+2+0 +0+2 + 1+2 +3+ 2+1+1) /24 = 30/24 = 1.25

put the data in Excel sheet and calculate required limits using Excel Commands.

Excel Command for Average, c-bar

=Average( Range of numbers who's average you want to calculate )

In my excel sheet, = Average ( H2 : H25)

= 1.25

Excel Command for Standard deviations,

=STDEV( numbers who's standard deviations you want to calculate)

here, =STD(H2:H25) , output= 0.98907

UCL = 1.25 + 3( 0.98907)

= 4.217

LCL = 1.25 - 3( 0.98907)

= - 1.717

but defective item can never be negative so, Lower control limit is Zero.

Hence, for the given data, the upper control limit for the number of defects is 4 and the lower control limit is 0.

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Answer:

1. Equal. 2. 1500

Step-by-step explanation:

6 x 16 = 96 + 11= 117

3/4 x 2000 = 1500

Answer:

let marked price = x

on 10% discount, price= x-10%of x

=x-(10x/100)

=x-(x/10)

=9x/10

on further 10% discount, total discount = 10% of 9x/10

=10/100 * 9x/10

= 9x/100

= 9%of x

hence, the single discount given on marked price is 9%

Step-by-step explanation:

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

Answer:

∠ 1 = 158°

Step-by-step explanation:

(9x - 5) and (4x + 10) are vertically opposite angles and are congruent, so

9x - 5 = 4x + 10 ( subtract 4x from both sides )

5x - 5 = 10 ( add 5 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

then

4x + 10 = 4(3) + 10 = 12 + 10 = 22°

∠ 1 and (4x + 10) are a linear pair and sum to 180° , that is

∠ 1 + 22° = 180° ( subtract 22° from both sides )

∠ 1 = 158°

Answer:

2×2×2×7

Step-by-step explanation:

if you multply 2×2 it is 4×2=8×7=56

backward is easy 7×2= 14×2= 28×2=56

2 × 2 × 2 × 7 is the prime factorization of the number 56.

Given that,
To determine the number whose prime factorization is given as 2 x 2 x 2 x 7.

Factors can be defined by splitting the value into multipliable values.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Prime factorization of the number are a multiplicable number that consists of the prime numbers only,
According to the question,
2 x 2 x 2 x 7  = 56

Thus,  2 × 2 × 2 × 7 is the prime factorization of the number 56.

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f the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb

Let the gray suitcase be represented by g

Let the pink suitcase be represented by p

Let the blue suitcase be represented by b

The gray suitcase weighs 11 lb more than the pink suitcase

g    =   p   +   11........(1)

The pink suitcase weighs 5 lb than the blue suitcase.

p   =  b  +  5

b  =  p  -  5...........(2)

Total of 3 suitcases = 127 lb

p  +  b  +  g    =  127............(3)

Substitute equations (1) and (2) into equation (3)

p  +  p  - 5 + p  +  11   =  127

3p  +  6   =  127

3p   =  127  -  6

3p   =  121

p  =  121/3

p  = 40.3 lb

Substitute p = 40.3 into equation (2)

b = p - 5

b  = 40.3  - 5

b  =  35.3

The blue suitcase weigh 35.3 lb

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Answer:

Step-by-step explanation:

The solid's plan, consisting of a pyramid with a square base and a cube whose edges are each 6 cm long, will be represented in the attached graph.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To draw the plan of a solid made from a square-based pyramid and a cube, with each edge having a length of 6 cm, you can start by drawing the top view of the cube. Since the edges of the cube have a length of 6 cm, the top view of the cube will be a square with sides of 6 cm.

Next, you can draw the top view of the square-based pyramid.

A square-based pyramid is a pyramid with a square base, so the top view of the pyramid will be a square with sides of 6 cm, just like the top view of the cube. However, the top view of the pyramid will also have four triangular faces extending from the corners of the square, each with a height of 6 cm.

To complete the plan of the solid, you can simply place the top view of the pyramid on top of the top view of the cube, aligning the edges of the squares.

The resulting drawing will be the plan of the solid made from a square-based pyramid and a cube, with each edge having a length of 6 cm.

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The range and domain for the exponential function and logistics function are Expotentioal function : Domain= (2,  infinity )

Exponential function:

An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent. An example of an exponential function is the growth of bacteria. Some bacteria double every hour.

In exponential notation, a number usually is expressed as a coefficient between one and ten times an integral power of ten, the exponent. To express a number in exponential notation, write it in the form: c × 10n, where c is a number between 1 and 10 (e.g. 1, 2.5, 6.3, 9.8) and n is an integer (e.g. 1, -3, 6, -2

Definition of logarithmic function: a function (such as y = log x or y = ln x) that is the inverse of an exponential function (such as y = ax or y = ex) so that the independent variable appears in a logarithm.

Expotentioal funtion :

Domain= (2,  infinity )

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The exponential function's and the logistical function's range and domain are Exponential purpose: Domain= (2, infinite ) (2, infinity )

Explicit function

A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.

When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just like in any exponential expression. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.

The exponential function's and logistics's domain and range

When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just like in any exponential expression. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.

A number is typically written in exponential notation as a coefficient between one and ten times an integral power of ten, the exponent. When writing a number in exponential notation, use the format: c 10n, where c is an integer and n is a number between 1 and 10 (for example, 1, 2.5, 6.3, 9.8).

A logarithmic function is one that is the inverse of an exponential function, such as y = ax or y = ex, and causes the independent variable to appear in a logarithm. Examples of such functions include y = log x and y = ln x.

Expotentioal funtion :

Domain= (2,  infinity )

Answer:

  a. no

  b. yes

  c. yes

  d. no

Step-by-step explanation:

To test a solution, put the values where the variables are, and simplify to the point where you can tell whether the statement is true.

Each ordered pair is (x, y), so the first value gets substituted for x; the second value gets substituted for y.

  11 < 13 -2 = 11 . . . . no

  8 ≤ 16 -3 = 13 . . . . yes

  20 > 18 -4 = 14 . . . . yes

  9 ≥ 15 -5 = 10 . . . . no