Jamal has some counters in a bag.
36% of the counters are red
the rest of the counters are yellow
Jamal puts 50 blue counters into the bag.
Now 25% of the counters in the bag are blue.
Work out the number of yellow counters in the bag.
(3 marks)
​

Answer:

"there so pretty it hurts im not talking about boys im talking about girls there so pretty with their bottom up shirts AHHH WOAH AHHH"

Step-by-step explanation:

In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.

In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.

Here,

To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.

For example:

f(0) = 4(0) - 6 = -6

f(1) = 4(1) - 6 = -2

f(2) = 4(2) - 6 = 2

f(-1) = 4(-1) - 6 = -10

f(3a) = 4(3a) - 6 = 12a - 6

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The range of the exam scores is 10, and the standard deviation is approximately 3.4.

The range of a set of values is the difference between the largest and smallest values of the set.

The standard deviation measures the degree of dispersion or variation of a set of values from their mean or central value.

Using the four scores 87, 77, 83, and 83, the range and standard deviation can be calculated below:RangeThe largest score is 87, and the smallest is 77.

Therefore, the range of the exam scores is:Range = Largest score - Smallest score= 87 - 77= 10Standard deviationTo find the standard deviation, first find the mean of the scores:Mean = (87 + 77 + 83 + 83) / 4= 330 / 4= 82.5.

Round the mean to the nearest tenth (one decimal place) to calculate the standard deviation:Standard deviation = √ [(sum of (score - mean)^2) / number of scores)]≈ 3.4

Therefore, the range of the exam scores is 10, and the standard deviation is approximately 3.4.

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Answer:

y = -5

Step-by-step explanation:

the line shown does not have a slope, it does not go up nor down

so the slope is zero, leaving us only with needing to write the y-intercept in the equation

we can see that the line intercept the y axis at -5

so the equation for this line is y = -5

Answer:

d^2 = <y2-y1>^2 + <x2 -x1) ^2

so

p =4

Answer:

step1:add 3y to both sides

step2:add 4 to both sides

step3:multiply both sides by(1/5)

14/15

Step-by-step explanation:

Answer:

25/96

Step-by-step explanation:

5 times 5 = 25

8 times 12 = 96

put them together as a fraction and you get 25/96

simplified.

Answer:

\(\frac{25}{96}\)

Step-by-step explanation:

\(\frac{5+5}{8+12}\)

\(\frac{25}{8TIMES12}\)

\(\frac{25}{96}\)

The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

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The first multiplication in the process of converting a decimal fraction to binary using repeated multiplication produces the least significant digit of the binary representation.

When converting a decimal fraction to binary using repeated multiplication, the first multiplication will produce the least significant digit of the binary representation.

To convert a decimal fraction to binary using repeated multiplication, the decimal fraction is multiplied by 2 repeatedly. The integer part of the product is the binary digit, and the fractional part is used for the next iteration. The process is repeated until the desired precision is achieved.

The multiplication starts with the fractional part of the decimal fraction, and the first multiplication determines the least significant bit (LSB) of the binary representation. Subsequent multiplications will determine the remaining bits from least significant to most significant.

Therefore, the first multiplication produces the least significant digit of the answer in the binary representation.

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Based on the dimensions of the triangular flower bed, the cost of the border will be $70.

First, you need to find the total length of the triangular flower bed to find out how much thin metal border is needed.

This length is:

= 7 feet + 6 feet + 9 feet

= 22 feet

Then convert these to yards because the cost of the thin metal border wall is in yards. Every yard is about 3 feet so 3 feet is 1/3 yeards.

If you have 22 feet therefore, the number of yards is:
= 22 x 1/3

= 22 / 3

= 7.33 yards

Only whole numbers of yards can be bought so we round this up to 8 yards.

The cost of the border would be:

= Number of yards x Cost per yard

= 8 x 8.75

=  $70

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the general form of the equation is

where m is the slope and b the y-intercept

from the graph we can notice the y-intercept is 0 because touch the y-axis on 0, so b=0

now we can repalce a point and b on the general equation to find the slope, m

i will use the point ( 90 , 30 )

so

the slope is 1/3

so the equation is

Answer:

49/100

Step-by-step explanation:

Answer:

Decimal Fraction Percentage

0.49 49/100 49%

Answer:

time = 70 minutes

The contour lines show regions of equal probability density, while the MMSE prediction line demonstrates the best estimate of Y given a specific value of X, minimizing the mean squared error between the actual and predicted values.

The bivariate Gaussian PDF has a mean vector (πx, πy) = (5, 6) and a covariance matrix C = ((4, 3), (3, 4)). To plot the contours of constant PDF, you need to create a 2D grid of points and calculate the bivariate Gaussian PDF values for each point using the given mean vector and covariance matrix. Then, you can visualize these values as contour lines on a 2D plot.

To find the minimum mean square error (MMSE) prediction of Y given X = r,

you can use the given formula\(E(Y|X) = πY + rX,Y * σY/σX * (X - πX).\)

Here, rX,Y represents the correlation coefficient between X and Y, and σX and σY represent the standard deviations of X and Y, respectively. These values can be obtained from the covariance matrix C.

After calculating the MMSE prediction of Y given X = r, you can plot it on top of the contour plot to visualize the relationship between X and Y. The significance of this plot is that it provides a graphical representation of the joint distribution of X and Y, and it helps to understand the correlation and predictability between the two variables.

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The answer to the given expression is \(\frac{1}{3}\).

A number system is defined as a method of writing numbers. It is the mathematical notation for consistently expressing numbers from a specific set using digits or other symbols.

It represents the arithmetic and algebraic structure of the figures and offers a unique representation of each number.

As per the question, we have the expression:

\(((27)^\frac{2}3} )^{-\frac{1}{2}}\)

Multiply the exponents into the expression,

\((27)^{\frac{2}{3} \times{-\frac{1}{2}}\)

Reduce the likewise terms,

\((27)^{-\frac{1}{3}}\)

\(\dfrac{1}{(27)^{\frac{1}{3}}}\)

\(\dfrac{1}{3}\)

Thus, the answer to the given expression is \(\frac{1}{3}\).

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Answer:

1

Step-by-step explanation:

Answer:

O1

Step-by-step explanation:

Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

We are given a point: (0,-2) and a slope; -3.

we can substitute the numbers into the equation above, with what we know, to find b.

-2=-3(0)+b

multiply

-2=0+b

-2=b

so the y intercept is -2.

Since we know that the slope is -3, and the y intercept is -2, the equation is y=-3x-2

Therefore O1 is your answer

Hope this helps!

The whole factoring of the phrase is \(3(b + 7) (b - 3)\)

Factors are items which are multiplied by the other items in an expression. You can use a number, variable, sentence, or any other longer expression. For instance, 2, x, and y are the components of 2xy.

Rewriting an equation as the sum of factors is referred to as factor expressions or factoring. For instance, 3x + 12y may be expressed as 3 (x + 4y), which is a straightforward equation. The computations get simpler in this method. Three or (x + 4y) were examples of factors.

First, we can factor out \(3\)

\(3b^2 + 12b - 63 = 3(b^2 + 4b - 21)\)

The numbers are \(+7\) and \(-3\)

\(b^2 + 4b - 21 = (b + 7)(b - 3)\)

Putting it all together,

\(3b^2 + 12b - 63 = 3(b^2 + 4b - 21) = 3(b + 7)(b - 3)\)

Therefore, the expression is \(3(b + 7)(b - 3)\).

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Answer:

I believe its D and E

Step-by-step explanation:

Does that help

Answer:

D. \(a = 0.01025\), \(b = 1\)

Step-by-step explanation:

Mathematically speaking, an exponential function is a trascendental function of the form:

\(y = a^{b\cdot x}\) (1)

Where:

\(a\) - Initial amount.

\(b\) - Growth factor.

\(x\) - Independent variable.

\(y\) - Dependent variable.

Let \(y = 0.01025^{x}\), by direct comparison we find that values for initial amount and growth factor are, respectively:

\(a = 0.01025\), \(b = 1\)

Therefore, correct answer is D.

Answer:

exothermic reaction

Step-by-step explanation: Tbh I just guessed...... ;0; this is very easy lol

Answer:

exothermic reaction

Step-by-step explanation:

The endothermic reaction (B) would be going all the way down and C would be on the side. The exothermic reaction is what the picture is.

The momentum magnitude observed in frame s' is √(15m^2c^4).

In special relativity, the relationship between energy (E) and momentum (p) is given by the equation:

E^2 = (pc)^2 + (mc^2)^2

where m is the rest mass of the particle, c is the speed of light, and p is the momentum of the particle.

In frame of reference s, the energy of the electron is given as 4mc^2. Plugging this into the equation, we have:

(4mc^2)^2 = (pc)^2 + (mc^2)^2

Simplifying this equation, we get:

16m^2c^4 = p^2c^2 + m^2c^4

Canceling out the common terms, we have:

15m^2c^4 = p^2c^2

Taking the square root of both sides, we get:

pc = √(15m^2c^4)

The momentum magnitude observed in frame s', denoted as p', is related to the momentum in frame s (p) by the relativistic velocity addition formula:

p' = γ(p - βE/c)

where γ is the Lorentz factor and β is the velocity of frame s' relative to frame s. Since the electron is moving along the x-axis, the velocity β is zero, and the Lorentz factor γ is equal to 1.

Therefore, the momentum magnitude observed in frame s' is the same as the momentum magnitude in frame s:

p' = p

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The most correct answer is D ( 3,-2) . Because in the 2 equations above when you enter the value x= 3 in equation I and II, it produces y=-2.

In the question above, there are two equations.

y=-(½)x - ½ (eq I)

y=-(⅔)x (eq II)

To find which x and y values satisfy these two equations in options A,B,C,D, we have to substitute one by one to prove:

A.(-2, 3)

we substitute the value x=-2 into equation I

y=-(½)x - ½

y= -(½) (-2) -½

y=1-½

y= ½ ( This means that option A is not valid, because it should give y a value of 3)

B.(-1,0)

we substitute the value x=-1 into equation I

y=-(½)x - ½

y= -(½) (-1) -½

y= ½ - ½

y= 0

Then, we try to substitute the value x=-1 into equation II

y=-(⅔)x

y= -(⅔) (-1)

y= ⅔ ( This means option B is not valid, because it should result in y being 0)

C.(1, 2)

we substitute the value x=1 into equation I

y=-(½)x - ½

y= -(½) (1) -½

y= -½ - ½

y= -1 ( This means option C is not valid, because it should result in y being 2)

D. (3,-2)

we substitute the value x=3 into equation I

y=-(½)x - ½

y= -(½) (3) -½

y= -3/2- ½

y=-4/2

y= -2

Then, we try to substitute the value x=3 into equation II

y=-(⅔)x

y= -(⅔) (3)

y=-2

The option D satisfies equations I and II,

Therefore the answer is option D.

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\(❖\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's evaluate ~

\(\qquad \tt \dashrightarrow \: \dfrac{32 {a}^{8} {b}^{6} - 12 {a}^{5} b {}^{4} {c}^{2} }{4a {}^{3}b {}^{3} }\)

\(\qquad \tt \dashrightarrow \: \dfrac{ \cancel{4 {a}^{3} b {}^{3} }(8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}) }{ \cancel{4a {}^{3}b {}^{3}} }\)

\(\qquad \tt \dashrightarrow \: 8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}\)

Answer:

-_-

Step-by-step explanation:

\( \displaystyle{ \frac{32 {a}^{8} {b}^{6} - {12a}^{5} {b}^{4} {c}^{2} }{ {4a}^{3} {b}^{3} } }\)

\( \displaystyle{ \frac{32 {a}^{8} {b}^{6} }{ {4a}^{3} {b}^{3} } - \frac{12 {a}^{5} {b}^{4} {c}^{2} }{4 {a}^{3} {b}^{3} } }\)

\( \displaystyle{ 8 {a}^{5} {b}^{3} - 3 {a}^{2} {c}^{2} }\)

B) Dilation and rotation is the sequence of transformations would result in a figure that is similar but not congruent to the original figure

What is Dilation and Rotation transformation?

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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The given function shows imply that the graph g(x) is shifted two units right and three units up.

Option B is correct.

The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.

From the given information:

Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.

Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.

Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0.  We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.

Combining the two transformations, we have:

Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.

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Answer:

Answer:

Thus, for 10 aerobics classes, the cost will be the same for members and nonmembers.

Step-by-step explanation:

Let the cost for members and nonmembers will be the same for x numbers of aerobics classes.

It is given that members pay $5 for each aerobics class and a $10 for the membership fee and nonmembers pay $6 for each aerobics class.

So, we can write  

10 + 5x = 6x

⇒ x = 10

Thus, for 10 aerobics classes, the cost will be the same for members and nonmembers.

Step-by-step explanation:

Therefore, the margin of error for the 90% confidence interval is 1.32. This means that you can be 90% confident that the true population mean falls within a range of 1.32 around the sample mean.

To find the margin of error for a 90% confidence interval, you can use the following formula:

margin of error = z * standard deviation / sqrt(n)

Where z is the z-score for the desired level of confidence (in this case, 90%), standard deviation is the standard deviation of the sample, and n is the sample size (in this case, 120).

Plugging in the values, you get:

margin of error = 1.645 * 9.1 / sqrt(120)

= 1.645 * 9.1 / 11.1

= 14.72 / 11.1

= 1.32

The middle of the set of values is represented by the mean. This value is the mean of all values in the data collection. In statistics, the middle quantity, referred to as the mean, is known as the average.

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