Simplify (a^2-7a+12)/(a^2-2a-8) if a cannot be 4

Answer:

90

Step-by-step explanation:

It is a right angle

Answer:

8.944

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

\(a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944\)

Adele has walked 7 1/20 miles so far this week.

To find out how many miles Adele has walked so far this week, we need to add the miles she walked on Monday, Tuesday, and Wednesday.
Step 1: Convert the mixed numbers into improper fractions.
- Monday: 2 3/5 = (2 × 5 + 3)/5 = 13/5
- Tuesday: 1 3/4 = (1 × 4 + 3)/4 = 7/4
- Wednesday: 2 7/10 = (2 × 10 + 7)/10 = 27/10
Step 2: Find a common denominator and add the fractions.
- Common denominator: 20 (least common multiple of 5, 4, and 10)
- Convert the fractions: 13/5 = 52/20,

7/4 = 35/20,

27/10 = 54/20
- Add the fractions:

52/20 + 35/20 + 54/20

= (52 + 35 + 54)/20

= 141/20
Step 3: Convert the improper fraction back to a mixed number.
- 141/20 = 7 + 1/20

= 7 1/20.

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Answer:

The answer is C

Explain:

Solve for x in the first equation.

Add 4y to both sides of the equation

3x=12+4y

12y-9x=36

Divide each term by 3 and simplify

X=4+4y/3

12y-9x=36

Replace all occurrences of x with 4+4y/3 in each equation.

-36=36

X=4+4y/3

Since -36=36 is not true, there is no solution

Answer:

a)  1/2

about 50%

Step-by-step explanation:

i hope this helps you

Answer:

(1,2)

Step-by-step explanation:

...

Answer:

2 Bucks

Step-by-step explanation

because 1 pack is 2 bucks look at the graph

Repeat this process for a large number of trials (e.g., 1000) and use the proportion of trials where all three-coin flips resulted in tails as an estimate of the probability that three randomly chosen people do not work out for the desired amount.

by the question.

To simulate this situation, you can use a set of three-coin flips, where heads represent the event that a person exercises for 30 minutes a day at least three times a week, and tails represent the event that a person does not exercise for that amount.

To simulate the first person, flip a coin once. If it lands heads, consider the person as exercising enough; otherwise, consider the person as not exercising enough.

Repeat this process for the second and third person as well, each time flipping the coin once to determine if the person exercises enough.

After the three-coin flips, count the number of times the coin landed tails, which represents the number of people who do not exercise for 30 minutes a day at least three times a week.

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Answer:

c. 14

Step-by-step explanation:

12 - 5 = 7

needs to be a multiple of 7 which 14 is

Type I error is We conclude that the mean is not 34 years when it really is 34 years. The correct option to this question is C.

Rejecting the null hypothesis when it is in fact true is a Type I mistake. It entails drawing conclusions about outcomes that are statistically significant when, in fact, they were just the consequence of chance or unrelated causes.

The significance level you select (alpha or ) determines the likelihood that you will make this mistake. You determined that figure at the start of your research to determine the statistical likelihood of getting your results (p-value).

The typical significance level is 0.05 or 5%. If the null hypothesis is accurate, your results only have a 5% chance or less of occurring.

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Answer: y = 32/7

Step-by-step explanation:

Solve the first equation for x by subtracting the 2y from the left side and getting: x = 1 - 2y.

Plug this in to the second equation: 2(1 - 2y) - 3y = -30 → 2 - 4y - 3y = -30 →

-7y = -32 → y = 32/7. Hope this helps!

Answer:

ty for the fr$e points it's B

Step-by-step explanation:

ywwwww

Answer: See explanation

Step-by-step explanation:

Your question wasn't well written but I saw an identical question so let me help out.

a. Jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax?

b. They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?

a. Subtotal = $42.00

Tax = $3.99

Percentage of subtotal that is sales tax will be:

= Sales tax/Subtotal × 100

= 3.99/42.00 × 100

= 9.5%

b. Tip = $7

Sub total = $42

The percentage of the subtotal that is the tip will be:

= Tip/Sub total × 100

= 7/42 × 100

= 16.67%

the length of the sections will be 24 and 18 respectively.

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given, Some pair of lines in that three lines are parallel and two of them are intersecting them.

Since, these are the the section made by two parallel lines. Thus, these given section will be Proportional to each other.

Thus,

20/15 = ( 7x - 11)/(4x - 2)

4/3 = ( 7x - 11)/(4x - 2)

16x - 8 = 21x - 33

5x = 25

x = 5

therefore, the length of the sections will be 24 and 18 respectively.

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Answer:

A

Step-by-step explanation:

-1/2(2-2x)+3

Use the distributive property:

Add like terms:

Using the formula for the volume of a cube, it is found that the expression which gives the ratio of the side length of Cube A to the side length of Cube B is:

\(r = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}\)

Which means that option E is correct.

The volume of a cube of side length l is given by:

\(V = l^3\)

For Cube A, the volume is of 9 cubic inches, hence:

\(l_a^3 = 9\)

\(l_a = \sqrt[3]{9}\)

\(l_a = 9^{\frac{1}{3}}\)

\(l_a = 3^{\frac{2}{3}}\)

For Cube B, the volume is of 5 cubic inches, hence:

\(l_b^3 = 5\)

\(l_b = \sqrt[3]{5}\)

\(l_b = 5^{\frac{1}{3}}\)

Then, the ratio is:

\(r = \frac{l_a}{l_b} = \frac{3^{\frac{2}{3}}}{5^{\frac{1}{3}}}\)

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On solving the provided question, we can say that the equation \(x = 14 + y\) is age of Ishaan is 21 years and Christopher is 7 years old.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

age of Ishaan = x.

Age of Christopher = y.

Ishaan is 3 times as old = Christopher,

x = 3y

Ishaan is 14 years older than Christopher,

\(x = 14 + y \\3y = 14 + y\\3y - y = 14\\2y = 14\\y = 14/2\\y = 7\\Now, x = 3(7)\\x = 21.\\\)

age of Ishaan is 21 years.

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The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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13. The equation representing the workdays, w, based on the number of crew members, c for this problem situation is:

w = 200 / c

where "c" is the number of crew members and "w" is the number of workdays required to complete a house.

14. A crew of 32 people would take 6.25 days to complete a house.

15. A crew of 16 people completed the house in 12.5 days.

16. It is not reasonable to have a crew of 17.5 people.

13. The equation representing the workdays, w, based on the number of crew members, c for this problem situation is:

w = 200 / c

where "c" is the number of crew members and "w" is the number of workdays required to complete a house.

14. To find how long it would take a crew of 32 to complete a house, we can use the same equation:

w = 200 / c

w = 200 / 32

w = 6.25 days

Thus, a crew of 32 people would take approximately 6.25 days to complete a house.

15. To find how large the crew was if a house was completed in 12.5 days, we can rearrange the equation:

w = 200 / c

c = 200 / w

c = 200 / 12.5

c = 16

Thus, a crew of 16 people completed the house in 12.5 days.

16. It is not reasonable to have a crew of 17.5 people because the number of crew members must be a whole number. Therefore, the crew would need to be either 17 or 18 people.

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(a) To find the marginal distributions F(x) and F(y), we need to sum up the joint distribution function F(x, y) over the other variable. In this case, we will sum over y to find F(x) and sum over x to find F(y). The marginal distribution F(x) represents the probability that X takes on a value less than or equal to x, while F(y) represents the probability that Y takes on a value less than or equal to y. By sketching these functions, we can visualize their behavior and cumulative probabilities.

(b) X and Y are the random variables in question, and their values are determined by the joint distribution function F(x, y). The random variable X represents one of the dimensions, while the random variable Y represents the other dimension. By examining the joint distribution function, we can determine the possible values and their corresponding probabilities for X and Y.

(c) The probability P-1 refers to finding the probability of an event or region defined by certain conditions. Without specific conditions provided, it is not clear what P-1 represents in this context. To calculate a specific probability, we need to define the conditions or event of interest and apply the joint distribution function F(x, y) accordingly.

In summary, we can find the marginal distributions F(x) and F(y) by summing up the joint distribution function F(x, y) over the other variable. Sketching these functions helps visualize their cumulative probabilities. X and Y are the random variables determined by the joint distribution function. However, without specific conditions, it is not possible to calculate the probability P-1.

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Answer:

3 pairs for $71 makes each pair about $23.67.

8 pairs would be around $189.36.

(I rounded to the nearest hundredth since the problem is about money and rounding to the second decimal place is standard.)

Answer:

1)probability of choosing a yellow marble is 6/14 or 3/7(in lowest terms)

2)probability of showing its heads is 1/2

Answer: 1 amd -3

Step-by-step explanation:

(1)*(-3) = -3

(1)+(-3)= -2

Step-by-step explanation:

2 numbers multiplied equals -3

a × b = -3

the same 2 numbers added is -2

a + b = -2

a = -2 - b

we use this in the first equation

(-2 - b) × b = -3

we can see already here that one solution must be b=1 and a=-3.

but let's continue formally

-2b - b² = -3

-b² - 2b + 3 = 0

solving that quadratic equation based on the general formula

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x is named b (but is not the b of the general formula).

a = -1

b = -2

c = 3

b = (- -2 ± sqrt(-2² - 4×-1×3))/(2×-1) =

= (2 ± sqrt(4 + 12))/-2 = (2 ± sqrt(16))/-2 =

= (2 ± 4)/-2

b1 = (2+4)/-2 = 6/-2 = -3

b2 = (2-4)/-2 = -2/-2 = 1

for b1 we get an a1 :

a1 = -2 - b1 = -2 - -3 = -2 + 3 = 1

for b2 we get an a2 :

a2 = -2 - b2 = -2 - 1 = -3

so, there is only one combination of 2 numbers that fulfill the description : one has to be 1, and the other has to be -3

Answer:

17

Step-by-step explanation:

2f + 4f + 2 - 3 when f = 3

1) first we multiply 3 wherever f is

2 x 3 + 4 x 3 + 2 - 3 (solve)

6 + 12 + 2 - 3

18 + 2 - 3

20 - 3

17

Answer:

6+12+2-3=17

Step-by-step explanation:

The percentile score of 71 on test score is 27 and the score of victor is 71.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

Given, the teacher recorded unit 4 test scores from class.

The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.

A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.

The percentile rank of a score of 71 on the test is find by formula

\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)

=100×4+1/2(1)/15

=400+0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60=Score/15

score=71

Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.

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Therefore, the absolute minimum value of f on the interval [-1, 6] is -1, and the absolute maximum value is 15625.

To find the absolute minimum and absolute maximum values of the function f(x) = (x^2 - 1)^3 on the interval [-1, 6], we need to evaluate the function at its critical points and endpoints.

First, let's find the critical points by taking the derivative of f(x) and setting it equal to zero:

f(x) = (x^2 - 1)^3

f'(x) = 3(x^2 - 1)^2 * 2x

Setting f'(x) = 0, we have:

3(x^2 - 1)^2 * 2x = 0

This equation is satisfied when x = -1, 0, and 1.

Next, we evaluate f(x) at the critical points and endpoints:

f(-1) = (-1^2 - 1)^3 = 0

f(0) = (0^2 - 1)^3 = -1

f(1) = (1^2 - 1)^3 = 0

f(6) = (6^2 - 1)^3 = 25^3 = 15625

Now we compare the function values to determine the absolute minimum and absolute maximum:

The function has an absolute minimum value of -1 at x = 0.

The function has an absolute maximum value of 15625 at x = 6.

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Step-by-step explanation:

'a' region is    53  out of (53+81+106+85 + 64 = 389)

53/389 ths of the 360 degree circle would be the  a's

53/389  * 360 =    49 degrees

Answer:

try 5 or 3, half of 6 is 3 may be the same angle

The area of the base of the cube is 9 square inches.

To find the area of the base of a cube, we can use the formula:

\(Area $ of base = (Volume)^{(2/3)\)

Given that the volume of the cube is 27 cubic inches, we substitute this value into the formula:

\(Area $ of base = (27)^{(2/3) }\)

To simplify the expression, we can rewrite 27 as (3^3):

\(Area $ of base = (3^3)^{(2/3)\)

Applying the exponent rule, we multiply the exponents:

\(Area $ of base = 3^{(3\times (2/3))\)

The exponent \(3\times (2/3)\) simplifies to 2:

\(Area $ of base = 3^2\)

Evaluating \(3^2,\) we get:

Area of base = 9 square inches.

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Answer:

The answer is 18, I think.

Step-by-step explanation:

-9 times -2 = 18

18 divided by -9 = -2