Translate the following phrase or sentence into a math expression or equation (whichever is appropriate). Use C to represent the unknown number The product of six and a number added to two, gives 168.

Answer:

Question is not clear. How many cups of water is required before you can make  1 batch of green slime?

Step-by-step explanation:

Answer:

(h o k) (3) = 3

(k o h) (-4b) = -4b

Step-by-step explanation:

An inverse function is the opposite of a function. An easy way to find inverse functions is to treat the evaluator like another variable, then solve for the input variable in terms of the evaluator. One property of inverse functions is that when one finds the composition of inverse functions, the result is the input value, no matter the order in which one uses the functions in the combination. This is because all terms in a function and their inverse cancel each other and the result is the input. Thus, when one multiplies two functions that are inverse of each other, no matter the input, the output will always be the input value.

This holds true in this case, it is given that (h) and (k) are inverses. While one is not given the actual function, one knows that the composition of the functions (h) and (k) will result in the input variable. Therefore, even though different numbers are being evaluated in the composition, the output will always be the input.

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

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Answer:

5

Step-by-step explanation:

All you have to do is 2*10=20 and then 20/4=5

So 5 additional pumps should be turned on.

The number of additional pumps that should be turned on if the reservoir must be filled in 4 hours is 3 pumps

Given:

2 identical pumps = 10 hours

Time taken for each pump = Total time ÷ number of pumps

= 10 hours / 2 pumps

= 5 hours per pump

Total hours to fill a reservoir = 4 hours

let

x = number of pumps

Number of pumps = (Time taken for each pump × Total hours to fill a reservoir) / Total hours to fill a reservoir

= (5 × 4) / 4

= 20 / 4

= 5 pumps

Additional pump needed = Pumps needed - available pumps

= 5 - 2

= 3

Therefore, number of additional pumps that should be turned on if the reservoir must be filled in 4 hours is 3

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Answer:

a)

The possible values are 0, 1, 2 and 3.

The probability mass function of X is:

P(X = 0) = 0.125

P(X = 1) = 0.375

P(X = 2) = 0.375

P(X = 3) = 0.125

b)

\(P(X \geq 1) = 0.875\), \(P(X > 1) = 0.5\)

c) E(X) = 1.5, Var(X) = 0.75

Step-by-step explanation:

For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The expected value of the binomial distribution is:

\(E(X) = np\)

The variance of the binomial distribution is:

\(V(X) = np(1-p)\)

A fair coin is flipped three times.

This means that \(n = 3\)

Fair coin means that it is equally as likely to be heads or tails, so \(p = \frac{1}{2} = 0.5\)

a) Give both the possible values and probability mass function of X.

The possible values are from 0 to n, so 0, 1, 2 and 3.

The probability mass function is the probability of each outcome. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125\)

\(P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375\)

\(P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375\)

\(P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125\)

(b) Find P(X ≥ 1) and P(X > 1).

\(P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875\)

\(P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5\)

(c) Compute E[X] and Var(X).

\(E(X) = np = 3*0.5 = 1.5\)

\(Var(X) = np(1-p) = 3*0.5*0.5 = 0.75\)

Answer: i dum BTW I DONT THINK SOMEONE FOUND THIS HELPFUL IN LIKE 10 SECONDS IT HAS NO MAHTS

Step-by-step explanation: no

The Tortillas in 2 Packages from Given Data is 14

To determine how many tortillas are in 2 packages, we can use the given data to find the relationship between the number of packages and the number of tortillas.

From the table, we can see that there is a linear relationship between the two variables, with each package containing 7 tortillas.

Therefore, we can calculate the number of tortillas in 2 packages by multiplying 2 by 7,

So, we have

Packages = 2 * 7

Packages = 14

The answer of 14 tortillas in 2 packages.

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Complete question

A grocery store sells packages of fresh tortillas. The table shows the relationship between the number of packages and the number of tortillas. How many tortillas are in 2 packages?

Number of Packages   Number of Tortillas

5                                 35

7                                 49

15                             105

Deleted Answer, sorry.

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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After answering the provided question, we can conclude that The slope answer is not listed as a choice, but this is the correct equation.

In mathematics, slope is the slope of the regression of a line or curve. It is a measure of the degree to which a function's y-value varies once the x-value changes. A line's slope is usually expressed as a letter m and is able to be calculated as follows: m = (y2 - y1) / (x2 - x1) (x1, y1) and (x2, y2) is some two important points on the line. The slope of a line can be favorable, negative, equal to 0, or unknown. A positive slope means the line rises up from left to right, whereas a slope means the line falls back from left to right.

To find the equation of the line passing through the point (4,-5) with slope 2, we can use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-5) = 2(x - 4)

y + 5 = 2x - 8

y = 2x - 13

y = 2x - 13

The answer is not listed as a choice, but this is the correct equation.

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Answer:

View explanation

Step-by-step explanation:

1 meter = 100cm, so with this logic

100 x 69 = 6,900cm

We have a standby 28 cm, so:

6,900 + 28 = 6,928

If this is the incorrect unit of measurement, let me know in the comments section so I can revamp my answer.

Answer:

A

Step-by-step explanation:

Sorry i'm late, but we in the same boat my dude

Answer:

answe is a

Step-by-step explanation:

(b) The probability that the call is not for medical assistance = 0.37

(c) The probability that two successive calls will both be for medical assistance = 0.3969

(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331

(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662

The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:

Probability (Event) = Positive Results/Total Results

                                 = x/n

Given P (call for medical assistance) = 0.63

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P (Not Medical Assistance) = 1 - P (Medical Assistance)

                                            = 1 - 0.63

                                            = 0.37

Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:

P (2 calls for medical assistance)

= 0.63 × 0.63

= 0.3969

The probability that the first is for medical assistance and the second is not for medical assistance will be:

P (1st for medical assistance × 2nd for not medical assistance)

= 0.63 × 0.37

= 0.2331

The probability that exactly one of the next two calls is going to be for medical assistance will be:

P (Exactly 1 call for medical assistance)

= (0.63×0.37) + (0.63×0.37)

= 0.2331 + 0.2331

= 0.4662

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Answer:

5

Step-by-step explanation:

10*5/2=25

Answer:

<M = 23

Step-by-step explanation:

In this figure, both triangles are congruent to each other. This means that all of the sides and angle measures are equal. Triangle XYZ is the same as MNL, however, it is flipped upside down. If you flip it back to the same shape, you can see that <X is equal to <L.

<L = 33

<N = 124

<M = ?

We can remember that the sum of the three angles in a triangle are always equal to 180. Therefore, we will add up all of the angles to equal 180.

<L + <N + <M = 180

Substitute values in.

33 + 124 + <M = 180

157 + <M = 180

Subtract 157 on both sides.

<M = 23

Answer:

whut

Step-by-step explanation:

The derivative is f'(x) = (4x - 1) / (2x² - x).

To find the derivative of the function f(x) = ln(2x² - x), we can use the chain rule.

Begin by identifying the function to be differentiated, which is f(x) = ln(2x² - x).

Apply the chain rule, which states that if we have a composition of functions, f(g(x)), the derivative is given by (f'(g(x))) g'(x).

Let's consider the inner function g(x) = 2x² - x.

To differentiate g(x), we need to apply the power rule and the constant rule. The derivative of 2x² is 4x, and the derivative of -x is -1.

Now, we differentiate the outer function f'(g(x)). The derivative of ln(x) is 1/x.

Finally, we multiply the derivatives obtained in steps 3 and 4. Thus, the derivative of f(x) = ln(2x² - x) is:

f'(x) = (1 / (2x² - x)) * (4x - 1)

Simplifying further, we have:

f'(x) = (4x - 1) / (2x² - x)

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Answer: 30%

Step-by-step explanation:
12/40 = 3/10 = 0.30

0.30*100 = 30%

Answer:

Step-by-step explanation:

Since PQR is a triangle with QR = PQ, we have:

∠PQR = ∠QPR (since the angles opposite to equal sides are equal)

Let x be the measure of ∠QPR. Then:

∠PQR + ∠QPR + ∠R = 180° (sum of angles in a triangle)

x + x + 50° = 180°

2x = 130°

x = 65°

Therefore, the measure of ∠QPR is 65°.

Answer:

The Answer is x=2

Step-by-step explanation:

Hope this helps!!!!

Answer:

x=2  

Step-by-step explanation:

4x+3=11

4x=11-3      ( subtract 3 on both sides)

4x=8

x=2            ( divide 4 on both sides)

Answer:

I also believe it is -4.9 but I may be mistaken

Step-by-step explanation:

The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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Answer:

don't know..I am not fully understand.

can u please bhut other example

Recall the double angle identity:

\(\sin2\theta=2\sin\theta\cos\theta\)

With \(\theta\) measuring between 0º and 90º, we know \(\cos\theta>0\). So from the Pythagorean identity, we get

\(\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5\)

Then

\(\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}\)

Answer:

C

Step-by-step explanation:

Edge2021

Real life scenarios where percentage exceeds 100% include :

100% is used to represent the total percentage of a whole. Such that the highest percentage value of a whole such as the number of people who reside in a country, the mark obtainable in a examination and so on.

The mark obtainable in an examination cannot exceed 100%

However, there are circumstances whereby percentage values are represented as more than 100%.

These scenarios usually involves instances where values are compared and expressed as percentages.

Comparing the change in price of goods between two periods :

A good that cost $20 in 2005 which is now being sold at $50. The percentage change in price in this scenario will be :

[($50 - $20) / $20] × 100% = (30/20 × 100%) = 150%

Similary ;

In Finance, profit comparison usually involves using percentages greater than 100%.

For instance ;

if a firm makes double it previous year's profit, the would be said to have made an 100% increase from previous year's profit.

If the profit is 3 times, then that would mean a 200% profit increase.

For example :

Previous year's profit = $50,000

This year's profit = $150,000

Percentage profit increase :

[($150,000 - $50,000) / $50,000] × 100%

($100,000 / $50000) × 100%

2 × 100% = 200%

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Answer:

Step 2: 4x - 6 = 10 + 2x

Step-by-step explanation:

2 needs to be distributed to all terms inside the parentheses.

Answer:

Step 2 is wrong, and the right step 2 is 4x − 6 = 10 + 2x

Step-by-step explanation:

The student didn't multiply 2(3) in step 2

EXPLANATION

Using a composite figure to approximate the area of the figure will give us the needed surface,

The area of the composite is approximately the area of the squares:

Area of square:

A= base * height = 1.0*1.0 = 1 cm^2

Since we have approximately 22 squares inside the figure, the approximate area will be as follows:

Therefore, the solution is approximately 22 square units.

Answer:

P( red, red, red no replacement ) =  2/17

P( 3 cards with same rank, no replacement) =  1/425

Step-by-step explanation:

There are 52 cards, 26 are red

P( red) =  red/total =26/ 52 = 1/2

Now draw the second card without replacement

There are 51 cards, 25 are red

P( red) =  red/total =25/51

Now draw the third card without replacement

There are 50 cards, 24 are red

P( red) =  red/total =24/50 = 12/25

P( red, red, red no replacement ) = 1/2 * 25/51 * 12/25 = 2/17

P ( all have the same rank)

There are 52 cards,  4 of each rank

We don't care what the first rank is, now the second and third draw have to have the same rank as the first

P( rank) = 1/1

Now draw the second card without replacement

There are 51 cards, 3 are left with the same rank

P( same rank) = cards with same rank/total = 3/51

Now draw the third card without replacement

There are 50 cards, 2 are left with the same rank

P( same rank) = cards with same rank/total = 2/50 = 1/25

P( 3 cards with same rank, no replacement) = 1 * 3/51*1/25 = 1/425