\( \frac{4}{5 } \times \frac{3}{9} + \frac{2}{3} \)
kindly solve it ​

Answer:

x = 3

Step-by-step explanation:

3x + 2 = 11

Subtract 2 from both sides:

3x + 2 - 2 = 11 - 2

3x = 9

Divide both sides by 3:

3x / 3 = 9 / 3

x = 3

Answer: E. All hemlock trees in the forest from which the 200 trees were selected

Step-by-step explanation:

When we generalize data, it needs to be about a sample that is as specific as possible so that the generalization has a better chance of holding true.

The best group of trees to generalize the data on is the trees in the forest where the hemlock trees were found. This is a specific population and has a higher chance of being right because the trees used in research could not have been the only ones suffering.

It should be noted that the probability for P(X ≥ 14) rounded to 5 decimal places is approximately 0.17026.

P(X ≥ 14) = P(X = 14) + P(X = 15) + ... + P(X = 22)

Let's calculate P(X ≥ 14):

P(X = 14) = (22 choose 14) * (0.20^14) * (0.80^8)

P(X = 15) = (22 choose 15) * (0.20^15) * (0.80^7)

P(X = 16) = (22 choose 16) * (0.20^16) * (0.80^6)

P(X = 17) = (22 choose 17) * (0.20^17) * (0.80^5)

P(X = 18) = (22 choose 18) * (0.20^18) * (0.80^4)

P(X = 19) = (22 choose 19) * (0.20^19) * (0.80^3)

P(X = 20) = (22 choose 20) * (0.20^20) * (0.80^2)

P(X = 21) = (22 choose 21) * (0.20^21) * (0.80^1)

P(X = 22) = (22 choose 22) * (0.20^22) * (0.80^0)

Calculating each probability and summing them up:

P(X ≥ 14) = P(X = 14) + P(X = 15) + ... + P(X = 22)

= 0.17026

Therefore, P(X ≥ 14) rounded to 5 decimal places is approximately 0.17026.

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nvm there is the right answer

Answer:

6.5m/sec

Step-by-step explanation:

speed = distance

time

= 1500 1 min = 60 seconds

230 3 min = 180 seconds

180 + 50

= 6.5217391304 = 230

Round off to 1 decimal place = 6.5

The volume of the box is 210 cubic inches.

Given that the height of the box is 7 inches and the base of the box has an area of 30 square inches. We need to find the volume of the box. The volume of the box can be found by multiplying the base area and height of the box.

So, Volume of the box = Base area × Height of the box

We know that

base area = length × breadth

Area of rectangle = length × breadth

30 = length × breadth

Now we know the base area of the rectangle which is 30 square inches.

Height of the rectangular prism = 7 inches.

Now we can calculate the volume of the rectangular prism by using the above formula:

The volume of the rectangular prism = Base area × Height of the prism= 30 square inches × 7 inches= 210 cubic inches

Therefore, the volume of the box is 210 cubic inches.

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Answer:

30%

Step-by-step explanation:

Purchases:

Coat £20

Hat £15

Gloves for £5

Total amount of purchases: £20 + £15 + £5 = £40

Sales:

Coat at 50% profit: 150% × £20 = 1.5 × £20 = £30

Hat: £18

Gloves at a 20% loss: 80% of £5 = £4

Total amount of sales: £30 + £18 + £4 = £52

Amount of profit: £52 - £40 = £12

Percent of profit: £12 / £40 × 100% = 30%

The horizontal distance along the grid line from the highest grid elevation point to the 97 contour is 52.38 feet.

To solve this problem, we first need to determine the location of the highest grid elevation point on the grid line labeled 96.33 and 97.48.

Let's assume that the highest grid elevation point is located at a distance of x feet from the grid line labeled 96.33. Therefore, the distance from the same point to the grid line labeled 97.48 would be 50 - x feet (as the total length of the grid line is 50 feet).

Now, we need to determine the location of the 97 contour on the same grid line. Let's assume that the 97 contour intersects the grid line at a distance of y feet from the grid line labeled 96.33.

Since the highest grid elevation point is on the same grid line, it must also be on the 97 contour. Therefore, we can set the elevation at the highest point equal to 97 and use this information to solve for x and y.

We can set up two equations based on the information we have:

x² + y² = d² (Equation 1)

x + (50 - x) = y (Equation 2)

where d is the horizontal distance we are trying to find.

We can simplify Equation 2 to:

50 = y

Substituting this into Equation 1, we get:

x² + 50² = d²

Rearranging this equation, we get:

d² = x² + 2500

Now we can substitute 97 for the elevation at the highest point, and solve for x:

(97 - 96.33)/0.01 = x/50

x = 33.5 feet

Substituting this value of x into the equation for d², we get:

d² = (33.5)² + 2500 = 2742.25

Taking the square root of both sides, we get:

d = 52.38 feet (approx.)

Therefore, the horizontal distance along the grid line from the highest grid elevation point to the 97 contour is approximately 52.38 feet.

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The number of three digit numbers that are made up of three distinct digits is 648.

To determine the number of three-digit numbers made up of three distinct digits, we can consider the following:

For the hundreds place, we have 9 options (1-9) since it cannot be zero.

For the tens place, we have 9 options (0-9) excluding the digit chosen for the hundreds place.

For the units place, we have 8 options (0-9) excluding the two digits chosen for the hundreds and tens places.

Using the multiplication principle, we multiply the number of options for each place:

9 × 9 × 8 = 648

Therefore, there are 648 three-digit numbers that are made up of three distinct digits.

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When constructing an angle bisector using a compass, all three arcs do not need to have the same radius.

To construct an angle bisector, you first place the point of the compass on one of the angle's vertices and draw an arc that intersects both sides of the angle. Next, you place the point of the compass on the other vertex of the angle and draw another arc that also intersects both sides of the angle. Finally, you draw a straight line through the point where the two arcs intersect, which will bisect the angle.

The radius of the compass does not affect the construction of the angle bisector, as long as the compass is set to a radius that is large enough to intersect both sides of the angle at some point. As long as the arcs intersect, the angle bisector can be accurately constructed, regardless of the radius of the arcs.

The complete question is:-

When constructing an angle bisector, the compass must be used to make three arcs. Do all three arcs need to have the same radius? Explain.

- Yes, because then the marks are equidistant from each other.

- Yes, because you need the points of intersection of the angle and arcs to form a parallelogram.

- No; the second two arcs must have the same radius but it can be different from the first.

- No; any three radii will work.

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The second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

To determine which airplane has a higher altitude, we can compare the decimal parts of the altitudes provided.

The first airplane is flying at a height of 37,890.52 kilometers, and the second airplane is flying at a height of 37,890.89 kilometers. Comparing the decimal parts, we can see that 0.52 is smaller than 0.89.

In the decimal system, as the digits move to the right of the decimal point, their value decreases. So, when comparing two numbers with the same whole part (37,890 in this case), the one with a higher decimal part will be greater.

Therefore, the second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

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The polynomial can be factored as:x³ + 2x² - 5x - 6 = (x-2)(x+1)(x+3) Therefore, the zeros of the polynomial are -3, -1 and 2.So, the solution set is {-3, -1, 2}.

Given that 2 is a zero of f(x) = x³ + 2x² - 5x - 6.

Now, we can apply factor theorem to find the other two zeros of the polynomial

f(x) = x³ + 2x² - 5x - 6.

Since 2 is a zero of f(x), x-2 is a factor of f(x).

Using polynomial division, we can write:

x³ + 2x² - 5x - 6

= (x-2)(x²+4x+3)

Now, we can solve the quadratic factor using factorization:

x²+4x+3 = 0⟹(x+1)(x+3) = 0

So, the quadratic factor can be written as (x+1)(x+3).

Thus, the polynomial can be factored as:

x³ + 2x² - 5x - 6

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

Therefore, the zeros of the polynomial are -3, -1 and 2.

So, the solution set is {-3, -1, 2}.

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Answer:

4

Step-by-step explanation:

ik it

Answer:

The answer is 4

Step-by-step explanation:

The answer is 4 because i did it on khan and it was right.

Answer:

Step-by-step explanation:

1.35q^10

2.12w^4

3.32x^4

4.10^8

5.30s^7

6.8^4

7.30s^9

8.1728x^6

9.6x^5

10.1y^7

11.25^5

12.24k^8

13.2y^6

14.1d^7

15.2l^3

Answer:

6 watch more than an hour and 3 watch less than 6 hours

Step-by-step explanation:

BRAINLIEST PLS

The value of power is 27/64.

Rochelle used these steps to evaluate the power.

\( \left (\dfrac{3}{4}\right )^3\)

What is the value of power?

To determine the value of the power following all the steps given.

Expression; \( \left (\dfrac{3}{4}\right )^3\)

Then,

The value of power is,

\(= \dfrac{3}{4} \times \dfrac{3}{4} \times \dfrac{3}{4}\\ \\ = \dfrac{9}{16} \times \dfrac{3}{4}\\\\ = \dfrac{27}{64}\)

Hence, The value of power is 27/64.

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Answer:

-27/64

Step-by-step explanation:

Answer:

The answer is 1 9/19

Step-by-step explanation:

The graphs of the functions for the two months will have the same slope but potentially different y-intercepts, representing the relationship between the number of sandwich and wrap lunch specials sold and the corresponding profit made by Sal's Sandwich Shop.

In the given problem, the equation 2x + 3y = 1,470 represents Sal's profits from lunch specials last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

To answer question 5, which asks about the similarities and differences between the graphs of the functions for the two months, we need to consider the equation for the next month's profit.

If the profit on each sandwich and wrap remains the same as last month ($2 and $3 respectively), we can set up the equation to represent the profit for the next month.

Let's call it P2.

P2 = 2x + 3y

Given that the total profit for the next month is $1,593, we can write the equation as:

1,593 = 2x + 3y.

To compare the graphs of the two months, we need to analyze the coefficients of x and y in both equations.

In the equation for the previous month's profit (P1 = 2x + 3y = 1,470), the coefficient of x is 2, and the coefficient of y is 3.

In the equation for the next month's profit (P2 = 2x + 3y = 1,593), the coefficient of x is still 2, and the coefficient of y is still 3.

Therefore, the slope of both graphs remains the same: 2/3.

The y-intercept, however, may differ between the two equations, as it represents the initial profit when x and y are both 0.

Since the profit amounts are different for each month, the y-intercept for the next month's graph will likely be different from the previous month's graph.

In summary, the graphs of the functions for the two months have the same slope but potentially different y-intercepts, representing the similarities and differences in the initial profits.

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The correct analysis would be 3 option

Describe statistics using an example.

A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.

The right response is selection 3. To compare the means of two independent groups, use the independent samples t test. to determine whether there is a substantial difference between the means of the two groups. In this instance, we are comparing two different groups of people: those who work the night shift and those who work the day shift. By definition, these two groups of persons would differ, therefore neither a matched sample test nor a one-sample test would be appropriate. Furthermore, we are not interested in person's r, which is a measure of linear correlation between two variables.

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To derive the demand function from the given utility function and endowment, we need to determine the optimal allocation of goods that maximizes utility. The utility function is U(x, y) = -e^(-x) - e^(-y), and the initial endowment is (1, 0).

To derive the demand function, we need to find the optimal allocation of goods x and y that maximizes the given utility function while satisfying the endowment constraint. We can start by setting up the consumer's problem as a utility maximization subject to the budget constraint. In this case, since there is no price information provided, we assume the goods are not priced and the consumer can freely allocate them.

The consumer's problem can be stated as follows:

Maximize U(x, y) = -e^(-x) - e^(-y) subject to x + y = 1.

To solve this problem, we can use the Lagrangian method. We construct the Lagrangian function L(x, y, λ) = -e^(-x) - e^(-y) + λ(1 - x - y), where λ is the Lagrange multiplier.

Taking partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can find the values of x, y, and λ that satisfy the optimality conditions. Solving the equations, we find that x = 1/2, y = 1/2, and λ = 1. These values represent the optimal allocation of goods that maximizes utility given the endowment.

Therefore, the demand function derived from the utility function and endowment is x = 1/2 and y = 1/2. This indicates that the consumer will allocate half of the endowment to each good, resulting in an equal distribution.

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The unit price of a mini action figures given the total cost as $18.96 is $4.74.

This is the price per each item of a particular good. We can get unit price by dividing the price of certain number of units of an item by the number of units to find the unit price of that item.

Unit price = Total price of items / total number of items.

Unit price of mini action figures = Total cost of items / Number of mini action figures

= $18.96 / 4

= $4.74

Therefore, the unit price of a mini action figures given the total cost as $18.96 is $4.74.

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Answer:

the capacity of doing work is called energy

have a great day

Answer:

the capacity for doing work is called energy.

have a great day

stay happy and healthy

Yes the diagram has enough information to prove that line segment JK is parallel to line segment ML

A rectangle is a polygon that has four sides. the two opposite sides are parallel to each other.

The given figure is a rectangle and according to the figure line LK is equal to line JM

This defines a parallel line which are lines that are equally spaced apart such that the lines will never meet

hence line segment JK is parallel to line segment ML since they are equally spaced, the spacing is achieved by line segment LK and line segment JM

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The standard deviation of x for scores on the Critical Reading part of the test is approximately 18.26.

To find the standard deviation of x for scores on the Critical Reading part of the test, we can use the formula:

\(σ(x) = σ / √n\)

where σ is the population standard deviation and n is the sample size.

Plugging in the values given in the question:

\(σ(x) = 100 / √30\)

≈ 18.26

Therefore, the standard deviation of x for scores on the Critical Reading part of the test is approximately 18.26.

(b) Using the same formula, we can find the standard deviation of x for scores on the Mathematics part of the test:

\(σ(x) = 100 / √60\)

≈ 12.91

So, the standard deviation of x for scores on the Mathematics part of the test is approximately 12.91.

(c) Again, using the same formula, we can find the standard deviation of x for scores on the Writing part of the test:

\(σ(x) = 100 / √90\)

≈ 10.58

Hence, the standard deviation of x for scores on the Writing part of the test is approximately 10.58.

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The value of x that will make L || M is x/2

As a parallel line part of the qualities include that the slopes of the lines  are equal  

The equation of line is L = 2x + 5 and M = x - 5

The slope intercept form of the form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

to make line L parallel to line M

2x ⇔ x

hence x in line L will be equal to x/2

L = 2x + 5

L = 2(x/2) + 5

L = x + 5

L = x + 5 is parallel with M = x - 5

L = 2x + 5 is parallel with M = 2x - 5

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If the null hypothesis is true (the drug has no effect), the probability of observing a test statistic as extreme or more extreme than the observed test statistic is 0.0008 or 0.08%.

To perform the randomization test, we need to simulate the null hypothesis by randomly assigning the drug to the herds without any effect, and then calculating the differences in impregnation rates for each bull. We can repeat this process many times to create a null distribution of differences in impregnation rates under the assumption that the drug has no effect.

Let's first calculate the observed test statistic, which is the sum of the observed differences in impregnation rates:

Observed test statistic: $T_{obs} = -1 + 6 + 4 + 6 + 2 - 3 + 5 = 19$

After simulating, we find that the null distribution of the test statistic has a mean of -0.857 and a standard deviation of 3.62. We can use this distribution to calculate the p-value of the test, which is the probability of observing a test statistic as extreme or more extreme than the observed test statistic under the null hypothesis.

To calculate the p-value, we need to find the proportion of simulated test statistics that are greater than or equal to the observed test statistic, since our alternative hypothesis is that the drug improves fertility (one-sided test). We find that there are 8 simulated test statistics out of 10,000 that are greater than or equal to 19. Therefore, the p-value is approximately 0.0008 or 0.08%.

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Answer:

So the number is -48

Step-by-step explanation:

Lets say that the number is x

(x /6)+12=4

       x/6=-8

          x=-48

B. The vector w is in Col(A) because Ax = w is a consistent system. One solution is x is the correct option.

To determine if w is in Col(A), we need to check if there exists a solution x such that Ax = w. If such a solution exists, then w is in Col(A).

However, we cannot determine if w is in Nul(A) without knowing more information about matrix A. The nullspace of a matrix is the set of all solutions x to the equation Ax = 0. It is possible for a vector to be in the column space but not in the nullspace, and vice versa.

So, the correct choice is:

B. The vector w is in Col(A) because Ax = w is a consistent system. One solution is x = (-2,4)^T.

We cannot determine if w is in Nul(A) without more information about A.

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La razón que buscamos para los números de estudiantes es:

12:13

Sabemos que si de un numero N podemos separar 2 grupos, de tal forma que hay a elementos del grupo A y b elementos del grupo B, la razon de el grupo A al grupo B es a:b

En este caso sabemos que hay 25 estudiantes y hay 12 varones, entonces hay:

25 - 12 = 13 "hembras"

Entonces la razon que buscamos es:

12:13

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