eduardo is painting a rectangular wall that is inches high and inches long. what is the area of the wall?

Answer:

I think B or C

Step-by-step explanation:

I think B or C because it is the closest to 52.8.

Hope this helps you.

The answer is B

Because when you round 52.8 you would get 53 but because 53 isnt an option you would do 54 because 54 is closer to 53 than 50. Then you woukd divide because Alexandra is dividng the bags equally into 9 bags.

In linear algebra, it can be proven that for any matrix A, every vector x in R^n can be expressed as the sum of a vector p in the row space (Row A) of A and a vector u in the null space (Nul A) of A.

To prove that every vector x in R^n can be written in the form x=p+u, where p is in Row A and u is in Nul A, we need to consider the fundamental theorem of linear algebra. According to the theorem, the row space of A is orthogonal to the null space of A. Therefore, any vector x can be decomposed into two components: one in the row space (p) and the other in the null space (u).

If the equation Ax=b is consistent, it means that there exists a vector x that satisfies the equation. In this case, we can express b as Ap, where p is a vector in the row space of A. Since the row space is a subspace of R^n, there is a unique vector p that satisfies Ap=b.

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Answer:

0.43* 0.35 = 0.1505 or 0.15 after rounding

Step-by-step explanation:

Based on the probabilities of A and B occurring with conditions, the probability of A and B occurring is 0.15.

This can be found by the formula:

= Probability that A occurs if B occurs x Probability of B occurring if A occurs

Solving gives:

= 0.43 x 0.35

= 0.15

In conclusion, the probability is 0.15.

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Answer:

2.333333

Step-by-step explanation:

Answer:

\(slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{4 - - 3}{ - 3 - - 8} \\ = \frac{4 + 3}{ - 3 + 8} \\ = \frac{7}{5} = 1.4 \\ thank \: you\)

a. In a random sample of 1,000 births, the expected number of births that take place by Caesarian section is:

E(X) = n*p = 1,000 * 0.32 = 320 births

Therefore, on average, 320 births out of 1,000 will take place by Caesarian section.

b. The variance of the number of Caesarian section births in a sample of 1,000 births is:

Var(X) = np(1-p) = 1,000 * 0.32 * (1-0.32) = 217.60

The standard deviation is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(217.60) = 14.76

Therefore, the standard deviation of the number of Caesarian section births in a sample of 1,000 births is 14.76.

c. To form an interval that is likely to contain the number of Caesarian section births in a sample of 1,000 births, we can use the normal distribution and the central limit theorem. Since n*p = 320 is greater than 10, we can assume that the distribution of the number of Caesarian section births in a sample of 1,000 births is approximately normal.

The 95% confidence interval for the number of Caesarian section births is:

320 ± 1.96*(14.76) = (291.16, 348.84)

Therefore, we can be 95% confident that the number of Caesarian section births in a sample of 1,000 births will be between 291 and 349.

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The number which produces a rational number when multiplied by 1/3 is; Choice A; 2.

It follows from the definition of rational number that they can be represented as the quotient a/b of two integers such that b ≠ 0.

On this note, it follows that when 1/3 is multiplied by 2; the result is 2/3 which is a rational number.

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Given,

-4x+7y=1

4x+y=23

adding both equation,

8y= 24, y = 3

substituting y in eq 2nd,

4x+3=23

4x=20

x=5

the coordinates of the point (x,y) where the two given lines intersect is (5,3)

Answer:

180

Step-by-step explanation:

A 3-digit number cannot start with 0, so the leftmost digit is a choice of 6 digits out of the 7. The middle digit can be chosen from all 7 digits minus the one already used, so there are 6 choices. The right digit can be chosen from 5.

6 × 6 × 5 = .180

The number of three-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 is 180.

This can be calculated by finding the number of element availabe at first place which is 6 excluding 0 than for second position 6 as first number is excluded and 0 is added and for the last positon the number of possibe combination is 5 as 2 digits are already used.

The final answer is 6*6*5 = 180

so count of 3 digit numbers that can be formed by the given set of digit without repetetion allowed is  180

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The domain and range of a mapping diagram represent the set of possible input and output values. A diagram represents a function if each element in the domain is mapped to a unique element in the range. If any element in the domain is mapped to more than one element in the range, then the diagram does not represent a function.

The domain and range of a mapping diagram represent the set of all possible input and output values. In the first diagram, the domain is {a, b, c, d} and the range is {1, 2, 3, 4}. In the second diagram, the domain is {a, b, c} and the range is {1, 2, 3, 4, 5}.

The first diagram represents a function because each element in the domain is mapped to a unique element in the range.

However, the second diagram does not represent a function because the element "c" in the domain is mapped to two different elements in the range, namely 4 and 5. In a function, each element in the domain should be mapped to a unique element in the range.

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Answer:

* Substation :

Subtract y from both sides of the equation.

x=6−y

x−y=4

Replace all occurrences of x with 6−y in each equation.

6−2y=4

x=6−y

Solve for y in the first equation.

y=1

x=6−y

Replace all occurrences of y with 1 in each equation.

x=5

y=1

The solution to the system is the complete set of ordered pairs that are valid solutions. (5,1)

The result can be shown in multiple forms. Point Form: (5,1)

Equation Form: x=5,y=1

* Elimination :

Multiply each equation by the value that makes the coefficients of x opposite.

       x+y=6

(−1)⋅(x−y)=(−1)(4)

Simplify.

 x+y=6

−x+y=−4

Add the two equations together to eliminate x from the system.

   (x+y=6) + (−x+y=−4) = (2y=2)

Divide each term by 2 and simplify.

y=1

Substitute the value found for y into one of the original equations, then solve for x.

x=5

The solution to the independent system of equations can be represented as a point.

(5,1)

The result can be shown in multiple forms. Point Form:(5,1)

Equation Form: x=5,y=1

Step-by-step explanation:

* Graph

Answer:

On a coordinate plane, a parabola opens down

has a vertex at (negative 0.5, 6.75)

The vertex is the maximum value. The axis of symmetry is x = negative one-half.

The domain is all real numbers

Step-by-step explanation:

Answer:

The vertex is the maximum value.

The axis of symmetry is x = negative one-half.

The domain is all real numbers.  

Step-by-step explanation:

The answer above is correct.

Answer:

x=35°

Step-by-step explanation:

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Check the picture below.

(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer:

B

Step-by-step explanation:

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Answer:

i think it's B

Step-by-step explanation:

Answer:

The answer is 12!!

Step-by-step explanation:

Answer:

Concept: Rectangular Figures

Solution:

Given:

Using the formula;

The z-score for 80% confidence interval is given by 1.28

Hence,

Hence, the point estimate with its margin of error to one decimal place is;

Answer:

Original price is $274

Step-by-step explanation:

Let

x = Original price of calculator ($)

Percentage decrease = \(\frac{Original Price - New Price}{Original Price}\)× \(100\)%

                              31% = \([\frac{x - 189.06}{x}]\) × \(100\)%

                              \(\frac{31}{100}\)  = \(\frac{x - 189.06}{x}\)

                             0.31 = \(\frac{x - 189.06}{x}\)

Cross-multiplication is applied:

                       \((0.31)(x)\) = \((1)(x - 189.06)\)

  Distributive Law is applied to expand the brackets or parentheses:

                            \(0.31x\) = \(x - 189.06\)

Like terms are brought together. At the same time, the unknown variable

x is isolated and made subject of the equation:

                          \(189.06\) = \(x - 0.31x\)

                          \(189.06\) = \(0.69x\)

                                \(x\)  = \(\frac{189.06}{0.69}\)

∴ x = Original price of the calculator = $274

The standard deviation is 4.6904.

The standard deviation is a measure of the dispersion or variability of a random variable. In the context of the number of customers arriving at Soda Mart, it provides information about how much the actual number of customers deviates from the mean.

In this case, the number of customers arriving at Soda Mart follows a Poisson distribution with a mean of 22 customers per hour. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time, such as the number of customers arriving at a store.

To calculate the standard deviation, we can use the formula for the standard deviation of a Poisson distribution, which is the square root of the mean. In this case, the mean is given as 22 customers per hour. Therefore, we can calculate the standard deviation as the square root of 22.

Using a calculator, the square root of 22 is approximately 4.6904. Therefore, the standard deviation of customers arriving at Soda Mart is approximately 4.6904.

The standard deviation provides a measure of the spread or dispersion of the number of customers arriving at Soda Mart. A larger standard deviation indicates a higher variability, meaning that the actual number of customers is more likely to deviate from the mean. Conversely, a smaller standard deviation suggests a lower variability, with the actual number of customers being closer to the mean.

Understanding the standard deviation is useful for various purposes, such as predicting staffing needs, estimating wait times, or assessing the reliability of service. By knowing the standard deviation, Soda Mart can make informed decisions and better manage its resources to provide a satisfying customer experience.

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Answer: x=7 or undefined

Step-by-step explanation:

We can't write x=7 in slope intercept form, since it doesn't have an actual slope or y-intercept. You could put undefined, since the slope is undefined.

The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

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Answer:

I getting the probability of the adult female that will rent the action movies in DVDs in by dividing the possible probability outcome which is 10% of all adults by the total number of possible outcome. So all of the population of the female is 51% and the ones who rent is only 10%. the probability is 19%

The solution is, 0.20 is the probability that the person rents action-movie DVDs, given that the person is female.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Data:

A: the adult is a male, P(A) = 0.49

B: the adult rent action-movie DVDs

C: the adult is a female,  P(C) = 1 - P(A) = 1 - 0.49 = 0.51  

24% of the adults are male and rent action-movie DVDs, then P(A ∩ B) = 0.24

10% of the adults are female and rent action-movie DVDs, then P(C ∩ B) = 0.10

The conditional probability of B (the adult rents action-movie DVDs) given C (the adult is female) is computed as follows:

P(B|C) = P(C ∩ B)/P(C)

          = 0.1/0.51

          = 0.2

Hence, The solution is, 0.20 is the probability that the person rents action-movie DVDs, given that the person is female.

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Answer:

Step-by-step explanation:

You want to know the probability of rolling 2 or 5 on a number cube 4 times in a row.

The probability of rolling a 2 or 5 on a 6-sided die is 2/6 or 1/3 on any given roll. If you want that result 4 times in a row, the probability will be ...

  (1/3)⁴ = 1/81

As a percentage, that value is ...

  (1/81)×100% ≈ 1.2%

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The length of the side of the smaller square is 7 inches.

Let x be the length of the side of the smaller square.

The length of each side of a square is 3 inches more than the length of each side of a smaller square. Thus the length of the side of the larger square is

(x + 3) inches.

The area of the smaller square is

x^2 square inches.

The area of the larger square is

(x + 3)^2 square inches.

We can set up the equation:

x^2 + (x + 3)^2 = 149

Expanding and simplifying the equation gives:

x^2 + x^2 + 6x + 9 = 149

Combining like terms:

2x^2 + 6x - 140 = 0

Using the quadratic formula, we can solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a

x = (-6 ± √(6^2 - 4 * 2 * (-140))) / 2 * 2

x = (-6 ± √(36 + 1120)) / 4

x = (-6 ± √(1156)) / 4

x = (-6 ± √(596)) / 4

x = (-6 ± 34) / 4

x = -10 or x = 7

The side length of the smaller square can't be negative, so x = 7 inches.

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Answer:

The chance of getting a sample  proportion of 70% or greater is 0.026.

Step-by-step explanation:

We are given that a poll shows that 50% of students play sports .

A random sample of 20 students showed that  70% of them play sports.

Let \(\hat p\) = sample proportion of students who play sports

The z-score probability distribution for the sample proportion is given by;

                           Z  =  \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\)  ~ N(0,1)

where, \(\hat p\) = sample proportion of students who play sports = 70%

           p = population proportion of students who play sports = 50%

           n = sample of students = 20

Now, the chance of getting a sample  proportion of 70% or greater is given by = P(\(\hat p\) \(\geq\) 70%)

   P(\(\hat p\) \(\geq\) 70%) = P( \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) \(\geq\) \(\frac{0.70-0.50}{\sqrt{\frac{0.70(1-0.70)}{20} } }\) ) = P(Z \(\geq\) 1.95) = 1 - P(Z < 1.95)

                                                                 = 1 - 0.97441 = 0.026

The above probability is calculated by looking at the value of x = 1.95 in the z-table which has an area of 0.97441.

Hence, the chance of getting a sample  proportion of 70% or greater is 0.026.

The statement that can be made about Danny's triangle is D. Danny's triangle could be any equilateral triangle

An equilateral triangle, which is also referred to as a "regular" triangle, is a triangle with three equal-length sides. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle.

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

In conclusion, the correct option is D.

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Answer:

I think the answer is 2 bc 5 times 4 is 20 and 10 can go into 20 2 times.

Step-by-step explanation: