There are 8 blue socks in Sean’s drawer. After he removes 3 blue socks and 4 non-blue socks, the probability to pick a blue sock at random becomes 1/7. How many non-bluesocks were in Sean’s drawer originally?

Answer:

35w^3 + 44w

Combine Like Terms:

= 35w + 9w + 35w^3 + 25w^3 - 25w^3

= (35w^3 + 25w^3 - 25w^3) +(35w + 9w)

= 35w^3 + 44w

Hope this is right ♡

Answer: 0.067 litres of water

Step-by-step explanation:

The mode is:

Concentration of new solution = Moles of acid in original solution / (Volume of original solution + Volume of water added)

Assume volume of water added is w.

12 = 16 (0.2) / (0.2 + w)

(0.2 + w) * 12 = 3.2

0.2 + w = 3.2 / 12

w = (3.2 / 12) - 0.2

w = 0.067 litres of water

The amount of water you should add to the solution is 0.067 liters.

Given

You have 0.2 liters of an acid solution whose acid concentration is 16 moles per liter.

You want to dilute the solution with water so that its acid concentration is only 12 moles per liter.

You can also use the solution dilution calculator in order to calculate the concentration of ions in a diluted solution.

The amount of water you should add to the solution is given;

\(\rm Concentration \ of \ new \ solution =\dfrac{\text{Moles of acid in original solution } }{\text{Volume of original solution + Volume of water added}}\\\\12=\dfrac{16(0.2)}{0.2+w}\\\\12 (0.2+w)=16(0.2)\\\\2.4 +12w=3.2\\\\12w=3.2-2.4\\\\12w=0.8\\\\w=\dfrac{0.8}{12}\\\\w=0.067\)

Hence, the amount of water you should add to the solution is 0.067 liters.

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The Correct answer is 27

Odd number are the numbers that are not multiple 2 and cannot be divided into two parts equally.

For examples: 3 , 5 , 7, 9,11 . . . . .

According to the question,

If the third odd number is greater than 6, multiply 9 by 3; if it is less than 5, divide 18 by 3.

Sequence of the number is 1, 5, 4, 7, 3, 7, 9, 2

where  1 , 5 , 7 , 7 ,9 are odd numbers

The third odd number is 7 which is greater than 6

according to question we have to multiple 9 by 3

= 9 × 3

= 27

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The rate of change of the surface area of the sphere is 1903784*pi cubic inches^2 per minute.

The volume of a sphere can be found using the equation V = 4/3 * pi * r^3, where V is the volume and r is the radius of the sphere.

The surface area of a sphere can be found using the equation A = 4 * pi * r^2, where A is the surface area.

To find the rate of change of the surface area, we can use the chain rule of calculus:

dA/dt = dA/dr * dr/dt

We know that dr/dt = 2409 cubic inches per minute (from the problem statement). To find dA/dr, we can take the derivative of the surface area equation with respect to r:

dA/dr = 8 * pi * r

Now we can substitute these values into the chain rule equation:

dA/dt = 8 * pi * r * dr/dt

When the radius of the sphere is 99 inches, we can substitute this value into the equation:

dA/dt = 8 * pi * 99 * 2409 cubic inches^2 per minute

So, the rate of change of the surface area of the sphere is 1903784*pi cubic inches^2 per minute.

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Answer:

81.25

Step-by-step explanation:

The after-school club collected 136 items per day for the food bank.

We'll need to use division to solve this problem.
Identify the total number of items collected (2,720) and the number of days items were collected (20).
Divide the total number of items (2,720) by the number of days (20) to find the number of items collected per day.
2,720 items ÷ 20 days = 136 items
To determine how many items were collected per day, we can divide the total number of items collected (2,720) by the number of days (20):

2,720 ÷ 20 = 136

Therefore, the after-school club collected an average of 136 items per day for 20 days.

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A linear regression function, f(t), that estimates the day's coffee sales with a high temperature is f(t) = -58t + 6,182.

The correlation coefficient (r) is -0.94.

Yes, r indicates a strong linear relationship between the variables because r is close to -1.

In order to determine a linear regression function and correlation coefficient for the line of best fit that models the data points contained in the table, we would have to use an online graphing tool (scatter plot).

In this scenario, the high temperature would be plotted on the x-axis of the scatter plot while the y-values would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, the linear regression function and correlation coefficient are as follows:

f(t) = -58t + 6,182

Correlation coefficient, r = -0.944130422 ≈ -0.94.

In this context, we can logically deduce that there is a strong linear relationship between the data because the correlation coefficient (r) is closer to -1;

-0.7＜|r| ≤ -1.0   (strong correlation)

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Missing information:

State the linear regression function, f(t), that estimates the day's coffee sales with a high temperature of t.  Round all values to the nearest integer. State the correlation coefficient, r, of the data to the nearest hundredth.  Does r indicate a strong linear relationship between the variables?  Explain your reasoning.

Answer:

No picture?

Step-by-step explanation:

i need a picture to anwser

Please find attached photograph for your answer. Please do mark me Brainliest

Step-by-step explanation:

\( \sqrt{16} \times \frac{1}{8} = \frac{1}{2} answer\)

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

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Answer: this is not a reasonable answer because 20 – 5 – 2 = 13

Step-by-step explanation:

   Let us see how much he will have actually have left.

       $20 - $5.10 - $1.90 = $13

➜ Our answer appears to be "this is not a reasonable answer because 20 – 5 – 2 = 13"

➜ This option rounded $5.10 to $5 and $1.90 to $2, which helps give a reasonable answer.

Answer: None

Step-by-step explanation:

12 has the factors: 1, 2, 3, 4, 6, 12

16 has the factors: 1, 2, 4, 8, 16

9 has the factors: 1, 3, 9

Therefore, none of them share a common PRIME factor.

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

The derivative of the position function gives the velocity function

2 t^3 + 5 t -2    derivative   =   6 t^2 + 5

The value of chi-square statistic (\(X^{2}\)) is 11.26

As per the given question

the sample space of all the four cases are 30

the proportions that land upright are the same when the dropping height is 3, 5, 10, and 20 cm.

the formula of chi-squared test is

\(X^2=\sum\frac{(O_i-E_i)^2}{E}\)

where

\(X^{2}\) is chi-square

\(O_i\) is the observed value

\(E_i\) is the expected value

the upright observed value are 20,23,27,29

the upright expected values are 24.75

now

the chi-square at 3cm height is

\(X^2=\(\frac{(20-24.75)^2}{24.75}\)

=> \(X^2=0.91\)

the chi- square at 5cm height is

\(X^2=\(\frac{(23-24.75)^2}{24.75}\)

=> \(X^2=0.12\)

the value of chi-square at 10cm is

\(X^2=\(\frac{(27-24.75)^2}{24.75}\)

=>\(X^2=0.20\)

the value of chi-square at 20cm is

\(X^2=\(\frac{(29-24.75)^2}{24.75}\)

=> \(X^2=1.97\)

the not upright observed values are

10,7,3,1

the not upright expected values are 5.25

the chi-square test at 3cm height is

\(X^2=\(\frac{(10-5.25)^2}{5.25}\)

=> \(X^2=4.30\)

the chi-square test at 5cm height is

\(X^2=\(\frac{(7-5.25)^2}{5.25}\)

=> \(X^2=0.58\)

the chi-square test at  10cm height is

\(X^2=\(\frac{(3-5.25)^2}{5.25}\)

=> \(X^2=0.96\)

the chi-square test at 20 cm is

\(X^2=\(\frac{(1-5.25)^2}{5.25}\)

=> \(X^2=3.44\)

now,

the total

chi-square value at 3cm height is

=>X^2=0.91+4.30

=> \(X^{2}\)= 5.21

chi-square at 5cm height is

=> \(X^{2}=0.12+0.58\)

=> \(X^2=0.71\)

chi-square at 10cm is

=> \(X^{2}=0.20+096\)

=> \(X^2=1.16\)

chi-square at 20 cm is

=> \(X^{2}=0.73+3.44\)

=> \(X^{2}=4.17\)

now ,

the total chi-square statistic is

=>\(X^{2}=\)5.21+0.71+1.17+4.17

=>\(X^{2}=\) 11.26

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Answer:

Step-by-step explanation:

3x² + 2 * 3x * 5 - 5²

= 3x^2 +2 * 3x * 5 - 25 ( then do 2*3x*5 = 30x)

=3x^2+30x-25

Answer:

2/5

Step-by-step explanation:

divide 4 by and the 10 by two.

Answer: 2/5

Step-by-step explanation:

To simplify a fraction you can divide the top and bottom by the same number as long as it goes in evenly

\(\frac{4/2}{10/2} =\frac{2}{5}\)

Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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The process of rewriting an expression such as -3x²+6x+14 in the form (X+a)² -b is known as completing the square.

An algebraic trick known as "completing the square" is used to change quadratic expressions into a certain form that is simpler to factor or solve for the variable.

These steps are used to square a quadratic expression of the type ax² + bx + c. If the coefficient of x² is not equal to 1, divide both sides of the equation by a.

The equation's constant term (c/a) should be moved to the right side.

To the left side of the equation, add and subtract (b/2a)². The phrase "completing the square" is used to describe it. Consider the left side of the equation to be a perfect square trinomial and factor it.

Find x by taking the square root of either side of the equation.

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The regression equation for predicting y from x in the given set of data is y = 1.909x + 2.227. This equation represents the line of best fit that minimizes the sum of squared residuals between the predicted values and the actual values of y based on the corresponding values of x.

To find the regression equation, we use the method of least squares to fit a line to the data points. The equation takes the form of y = mx + b, where m is the slope (coefficient of x) and b is the y-intercept. Using the given set of data, we calculate the slope (m) and the y-intercept (b) to determine the regression equation.

By applying the formulas for m and b:

m = (nΣxy - ΣxΣy) / (nΣx² - (Σx)²)

b = (Σy - mΣx) / n

where n is the number of data points, Σxy is the sum of the products of x and y, Σx and Σy are the sums of x and y respectively, and Σx² is the sum of the squares of x.

By substituting the values from the given data set into these formulas, we obtain the values for m and b. The resulting regression equation for predicting y from x in this case is y = 1.909x + 2.227. This equation represents the line that best fits the data points and can be used to estimate or predict the value of y for any given x within the range of the data.

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The simplified form of the given expression is 9b

From the question, we are to simplify the given expression

The given expression is 3√b^2

This expression can be properly written as

(3√b)²

To simplify the expression,

First, we will expand the expression by applying one of the rules of exponents

(3√b)²

Applying the rule of exponent

3² × (√b)²

9 × b

= 9b

Hence,

The simplified expression is 9b

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Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.

Answer:

a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.

Step-by-step explanation:

36 number of ways to set out the letters without the i's together.

Order of the letters matters, so, this is a permutation problem.

Now we will determine in how many ways we can arrange these letters.

There are 2 repeating i's, so, we can arrange the letters:

5!/2! = 120/2

= 60 ways.

We also have the following equation:

60 = (number of ways to arrange the letters with the i's together) + (number of ways without the i's together).

To find the no. of ways to set out the letters with the i's together.

We have: [i-i] [d] [g] [t]

We see that with the i's together, we have:

4! = 24 ways to arrange the letters.

Thus, the number of ways to set out the letters without the i's together is:

60 – 24 = 36.

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Dangerous, antibiotic resistant bacteria have been observed with increasing frequency over the past several decades.

In this review the factors that have been linked to this phenomenon are addressed. Profiles of bacterial species that are deemed to be particularly concerning at the present time are illustrated. Factors including economic impact, intrinsic and acquired drug resistance, morbidity and mortality rates, and means of infection are taken into account. Synchronously with the waxing of bacterial resistance there has been waning antibiotic development. The approaches that scientists are employing in the pursuit of new antibacterial agents are briefly described. The standings of established antibiotic classes as well as potentially emerging classes are assessed with an emphasis on molecules that have been clinically approved or are in advanced stages of development. Historical perspectives, mechanisms of action and resistance, spectrum of activity, and preeminent members of each class are discussed.

What antibiotic Streptomycin ?

Streptomycin injection is used to treat moderate to severe bacterial infections in many different parts of the body.

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The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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In a graph, X and Y are two axes that are used to plot data points.

X represents the independent variable and Y represents the dependent variable. The relationship between the two variables is represented by a mathematical equation which is usually represented by a line on the graph. A graph is a visual representation of data in which points on a plane are used to represent values of a particular variable. X and Y are two variables that are typically used in a graph. X is the independent variable, which is plotted on the horizontal axis. It is the input or cause that affects the output or effect, which is represented by Y. Y is the dependent variable, which is plotted on the vertical axis. It is the output or effect that is caused by the input of the independent variable. The equation usually takes the form of y = mx + b, where m is the slope of the line, x is the independent variable, y is the dependent variable and b is the y-intercept of the line. In order to calculate the equation of the line, you must have at least two points on the graph. You then plug in the two points into the equation to calculate the slope and intercept. Once you have the equation, you can plot all the other points on the graph and draw the line.

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The percentage of right-handed people is 1%.

Percent signifies out of one hundred. It is frequently represented by the symbol "%," even when there aren't 100 entries. After that, the figure is scaled so that it can be put in comparison with 100. Additionally, changes in numerical quantities are denoted by percentages.

We have a bowl of fruit, for instance, with three apples and one orange. Three out of four, or 3/4, or 75 out of 100, or 75 percent, are apples.

A ratio can also be expressed as a fraction or decimal in addition to being written as a percentage. There are methods for converting decimals or fractions to percentages.

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With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

\(p(m)=19.3(1089)^m\)

Most recently, the scientist counted 138 plants.

\(138=19.3(1089)^m\\(1089)^m=7.15\)

Taking log both sides of the equation,

\(\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1\)

Thus, with no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

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Answer:

With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Step-by-step explanation:

Answer:

Choice A

Step-by-step explanation:

It said it was right in Khan lol :)