Calculer l'expression suivante :
−
5
−
(
−
8
)
×
1
3
6
1
0
+
−
2
8
−
5
−
(
−
1
)
−5−(−8)×
​10+
​−5−(−1)
​
​−28
​​
​
​136
​​

Answer:

it rained 6 1/4 or 6.25 inches in two days

Step-by-step explanation:

3x - 2y = 19 ...1

Replace y = x-7 in ...1

3x - 2(x-7) = 19

3x - 2x + 14 = 19

x = 19 - 14

= 5

Replace x = 5 in y = x - 7

y = 5 - 7

= -2

(5,-2)

Let A be a given matrix and b be a given vector. The QR factorization of the matrix A involves finding two matrices Q and R, where Q is orthogonal and R is upper-triangular.

To solve the least squares problem Ax = b using QR factorization, we first find the QR factorization of A:

A = QR

Next, we express the problem as:

QRx = b

Now, we can multiply both sides by the transpose of Q (since Q is orthogonal, its transpose is its inverse):

(Q^T)QRx = (Q^T)b

This simplifies to:

Rx = (Q^T)b

Since R is an upper-triangular matrix, we can use back-substitution to solve the system Rx = (Q^T)b and find the least squares solution.

1. Compute the matrix product (Q^T)b.
2. Use back-substitution to solve the upper-triangular system Rx = (Q^T)b, starting with the last equation and working upward.

The solution x obtained through this process is the least squares solution for Ax = b.

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The three congruent triangles in this problem are given as follows:

LPN, MPL and PLN.

When triangles have the same side lengths, they are called congruent.

For a circle, we need to know that:

Hence, for this triangle, we have that:

The three triangles in this problem are given as follows:

LPN, MPL and PLN.

Since each triangle is composed by two segments that represent the radius of the circle and one segment representing the diameter, they have the same side lengths, hence they are congruent triangles.

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The correlation coefficient measures the relationship between variables. Statistical significance determines if a difference is meaningful. Frequency represents distribution, and range measures variability in data.

It quantifies the strength and direction of the linear relationship between two variables. The correlation coefficient ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no linear correlation between the variables.

Statistical significance refers to the likelihood that an observed difference or relationship between variables in a sample is not due to random chance but reflects a true difference or relationship in the population. It is assessed using hypothesis testing and p-values. If the p-value is below a predetermined significance level (often 0.05), the difference or relationship is considered statistically significant.

The frequency of scores at each level of some measure refers to the number of times each value or category occurs in a dataset. It provides information about the distribution of scores and allows us to understand the prevalence of different values or categories within the data.

The difference between the highest and lowest scores in a distribution is known as the range. It is a simple measure of dispersion that provides an indication of the spread or variability of the data. It is calculated by subtracting the lowest score from the highest score.

Each of these concepts has its own significance and application in statistical analysis.

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a.) After 0 years, 100% of the cars of that type are still on the road.

b.) After 5 years, 60.4% of the cars of that type are still on the road.

c.) The rate of change of the percent of cars still on the road after 0 years is 0%.

d.) The rate of change of the percent of cars still on the road after 5 years is -3.95% per year.

The given mathematical model is y = 100e^(-0.07905t), where y represents the percent of cars of a certain type still on the road after t years.

a.) When t = 0, we have y = 100e^(-0.07905*0) = 100%. So, after 0 years, 100% of the cars of that type are still on the road.

b.) When t = 5, we have y = 100e^(-0.07905*5) = 60.4%. So, after 5 years, 60.4% of the cars of that type are still on the road.

c.) The rate of change of y with respect to t is given by the derivative of y with respect to t. So, the rate of change of the percent of cars still on the road after 0 years is dy/dt = -0.07905100 e^(-0.07905*0) = 0%.

d.) Similarly, the rate of change of the percent of cars still on the road after 5 years is dy/dt = -0.07905100 e^(-0.07905*5) = -3.95% per year.

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The algebraic expression is (2x + 7) - (2x - 4) and the solution is 11

From the question, we have the following parameters that can be used in our computation:

Algebraic tile

To make use of the variable x, we have the following equation

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

Open the brackets

So, we have the following representation

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

Evaluate the like terms

(2x + 7) - (2x - 4) = 11

Hence, the solution is 11

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Answer:

None of the above.

Step-by-step explanation:

The summarization of the elements of a population is D) Parameter.

The summarization of the elements of a population is called a parameter.

A parameter is a numerical value that represents a characteristic of the entire population. It is different from a statistic, which is a numerical value that represents a characteristic of a sample from the population.

Inference is the process of drawing conclusions about a population based on information from a sample. A sample is a subset of the population that is used to gather information about the population.

The median is a measure of central tendency that represents the middle value in a set of data.

So, the correct answer to the question is the (d) Parameter.

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Step-by-step explanation:

above is the solution to the question

After calculating and analyzing the given question, the bank officer should be inclined to take a sample of at least 133 under the condition of within $200 (MOE) of the actual average with 99% confidence.

In the event of determining the size sample needed for understanding average total monthly deposits by implementing the formula

n = (z x Σ / E)²

here,

n = sample size,

z = z-score involving  the desired level of confidence,

Σ = population standard deviation,

E = margin of error

Staging the values in the formula

n = (2.576 * 1000 / 200)² = 132.71

≈ 133

After calculating and analyzing the given question, the bank officer should be inclined to take a sample of at least 133 under the condition of within $200 (MOE) of the actual average with 99% confidence.

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Answer:

3w² - wy

Step-by-step explanation:

w(3w - y) ← multiply each term in the parenthesis by w

= 3w² - wy

Hi!

I can help you with joy!

Let's remember what the Distributive Property states.

It states that

\(\mathrm{a(b+c)=ab+ac}\)

Now, let's use this property to solve the given problem:

\(\mathrm{w(3w-y)}\)

Distribute w:

\(\mathrm{3w^{2} -wy}\) (Answer)

I hope this helps!

Ask me if you have any questions.

Misty~

The most-preferred, affordable bundle can be found by maximizing the utility function subject to the budget constraint.

To find the most-preferred, affordable bundle, we need to maximize the utility function U(b, c) = b^50 * c^50 subject to the budget constraint. The budget constraint can be expressed as P_b * b + P_c * c = I, where P_b and P_c are the prices of goods b and c respectively, and I is the consumer's income.

In this case, P_b = 6, P_c = 7, and the consumer's income is $84. We can substitute these values into the budget constraint and rearrange it to solve for one variable in terms of the other. For example, we can solve for b in terms of c or vice versa.

Once we have the relationship between b and c, we can substitute it into the utility function and maximize it to find the combination of b and c that gives the highest utility. This will give us the most-preferred bundle that is affordable.

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Answer:

A. x < 2

Step-by-step explanation:

2x - 8 < 12

2x < 12 + 8

2x < 20

x < 20/10

x < 2

25 tablets are needed to dispense to fill the prescription order.

A prescription is a legally binding document or order prepared by a certified healthcare provider to diagnose, prevent, or treat a specific patient's ailment. It is authored by a licensed professional, it is written in the context of genuine doctor-patient interaction and it is a legal document that can be used as "prima facie" evidence in a court of law.

It was most likely intended for the pharmacist, who needs a certain amount of each component to mix the medicine (rather than the patient, who must take/consume" it).

So, a prescription for 10 days = 21/2

Tablets required for 10 days = 25

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The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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The average water level in Boston Harbor over the 24-hour period is approximately 8.2 feet. The water level in Boston Harbor equals the average water level at times t = 6 AM and t = 6 PM.

To find the average water level over the 24-hour period, we need to calculate the definite integral of the water level function H = 4.8 sin[(π/6)(t - 10)] + 7.6 over the interval 0 ≤ t ≤ 24, and then divide the result by the length of the interval (24 - 0 = 24).

The integral of H with respect to t can be evaluated as follows:

∫[4.8 sin(π/6(t - 10)) + 7.6] dt

= [-28.8/π cos(π/6(t - 10)) + 7.6t] evaluated from 0 to 24

= [-28.8/π cos(π/6(24 - 10)) + 7.6(24)] - [-28.8/π cos(π/6(0 - 10)) + 7.6(0)]

Simplifying this expression gives us the integral over the 24-hour period. Dividing this integral by 24 gives the average water level.

The average water level in Boston Harbor over the 24-hour period is 8.2 feet. The water level in Boston Harbor equals the average water level at times t = 6 AM and t = 6 PM.

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THE COMPLETE QUESTION IS:

The equation H = 4.8 sin[/6 (t - 10)] + 7.6, 0 t 24, where t = 0 corresponds to 12 AM, provides an approximation of the water level (in feet) in Boston Harbour throughout the course of a given 24 hour period. What was the average water level in Boston Harbour over that day's 24-hour period? When did the water level in Boston Harbour match the average water level for the day?

We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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The covariance of S(1) and S(2) is 0.

To determine the covariance of S(1) and S(2), we need to calculate the covariance between S(1) and S(2) using the given geometric Brownian motion model.

The covariance between two random variables X and Y is defined as Cov(X, Y) = E[(X - E[X])(Y - E[Y])], where E denotes the expectation.

In this case, we have S(t) = S(0) * (0.035 + 0.3W(t)), where W(t) is a standard Brownian motion and S(0) = 17.

First, we need to calculate the expected values of S(1) and S(2):

E[S(1)] = E[S(0) * (0.035 + 0.3W(1))]

       = S(0) * E[0.035 + 0.3W(1)]

       = S(0) * (0.035 + 0)

       = S(0) * 0.035

       = 17 * 0.035

       = 0.595

E[S(2)] = E[S(0) * (0.035 + 0.3W(2))]

       = S(0) * E[0.035 + 0.3W(2)]

       = S(0) * (0.035 + 0)

       = S(0) * 0.035

       = 17 * 0.035

       = 0.595

Now, we can calculate the covariance:

Cov(S(1), S(2)) = E[(S(1) - E[S(1)])(S(2) - E[S(2)])]

               = E[(S(0) * (0.035 + 0.3W(1)) - 0.595)(S(0) * (0.035 + 0.3W(2)) - 0.595)]

Since W(1) and W(2) are independent standard Brownian motions, their covariance is zero.

Cov(S(1), S(2)) = E[(S(0) * (0.035 + 0) - 0.595)(S(0) * (0.035 + 0) - 0.595)]

               = E[(17 * 0.035 - 0.595)(17 * 0.035 - 0.595)]

               = E[(0.595 - 0.595)(0.595 - 0.595)]

               = E[0]

               = 0

Therefore, the covariance of S(1) and S(2) is 0.

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The decimal representation of \($\frac{n}{475}$\)terminates for one value of n between 1 and 474 inclusive:\($n=475$\). This is because \($475$\) is the only number between 1 and 474 that is divisible by 475.

To determine for how many integer values of n between 1 and 474 inclusive does the decimal representation of\($\frac{n}{475}$\) terminate, we must find out which values of n between 1 and 474 are divisible by 475. We can do this by dividing each number between 1 and 474 by 475 and checking if the remainder is 0. If the remainder is 0, then the number is divisible by 475 and the decimal representation of

\($\frac{n}{475}$\)

will terminate. We find that the only number between 1 and 474 that is divisible by 475 is

\($n=475$\),

so the decimal representation of

\($\frac{n}{475}$\)

terminates for only one value of n between 1 and 474 inclusive: \($n=475$.\)

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Answer:

m

=

0.8

¯

3

Step-by-step explanation:

points , pi represents point that you can earn .

The value that is added on the left-hand side to make the equation equal is -1/100.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.

Given [1/-2  - 3/4  of -8/15],

to add a number so the sum equals the product of -7/50 and 11/14

let the number be x

according to the question,

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

taking LHS

[1/-2  - 3/4  of -8/15] = -1/2 - (3(-8)/60)

[1/-2  - 3/4  of -8/15] = -1/2 + 24/60

[1/-2  - 3/4  of -8/15] = (-30 + 24)/60

[1/-2  - 3/4  of -8/15] =-6/60 = -1/10

RHS

-7/50*11/14 = -77/700 = -11/100

substitute the values

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

-1/10 + x = -11/100

x = -11/100 + 1/10

x = (-11 + 10)/100

x = -1/100

Hence -1/100 is added to make the equation equal.

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5515828288777776677

12

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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Answer:

116 cm squared

Step-by-step explanation:

The area of the triangle is 28 cm squared.

The area of the parallelogram is 88 cm squared.

The total area of the composite figure would be 116 cm squared.

Answer:

triangle:28

parallelogram:88

total area:116

Step-by-step explanation:

8×7=56

triangle->56÷2

=

\( {28}^{2} \)

parallelogram->11cm×8cm

=

\( {88}^{2} \)

total area->28cm²+88cm²=116cm²

Answer: 48cm

Step-by-step explanation:

6x8=48

16x3=48

48 cm tall their stacks be when they are the same height for the first time.

Here,

Two students in Mrs. Albring's preschool class are stacking blocks, one on top of the other. Reece’s blocks are 6 cm high, and Maddy’s blocks are 16 cm high.

What is Lowest common factor?

The least common multiple of two numbers is the smallest number that is a multiple of both of them.

Now,

To find how tall will their stacks be when they are the same height for the first time.

For this we have to find least common multiple of 6 and 16.

Hence, least common multiple of 6 and 16 = 48

So, 48 cm tall their stacks be when they are the same height for the first time.

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