Ms. Kumar has a checking account at the bank. If the account balance ever falls below zero, the bank charges her a fee of $5.95 per day. Today, the balance in Ms. Kumar's account is -$2.67. If she does not make any deposits or withdrawals, what will be the balance in her account after 2 days?

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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For a rectangle model of park, the ratio of length of rectangle model to the sum of the length and width in inches is equals to the 8:21. So, option(A) is right one.

We have an architect builds a model of a park in the shape of a rectangle. The dimensions are defined as

The length of rectangle model of park

= 40.64 centimeters

Width of rectangle model = 66.04 cm

There is one inch equals to the 2.54 centimeters. We have to determine the ratio of the length to the sum of the length and width in inches. Using the unit conversion, one inch = 2.54 centimeters

=> 1 cm = 1/2.54 inches

So, length of model in inches = \( \frac{1}{2.54} × 40.64 \) = 16 inches

Width of rectangle model in inches = \( \frac{1}{2.54} ×66.04\) = 26 inches

Now, the sum of length and width inches = 16 + 26 = 42 inches

The ratio of length to the sum of length and width in inches = 16 : 42

=> \( \frac{16}{42}\)

= \( \frac{8}{21}\)

Hence, required value is 8:21.

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Answer:

1 is the answer

Step-by-step explanation:

y = 0.5 *4 -1

= 2 -1 = 1

Answer:

the answer would be 400.

Step-by-step explanation:

9,100 - 900 = 8,200

she would need to raise 8,200 more. to know many shirts tho, we need to divide by the cost

8,200 divided by 20.50 is 400.

400 shirts.

If I'm wrong, let me know, please.

Answer:

x=400

Step-by-step explanation:

Already sold: 900/20.50=43

Needs to sell altogether:443

Needs to sell minus already sold: 443-43=400

She needs to sell 400 more shirts.

Step-by-step explanation:

Do you mean?

\( \frac{ { \tan(x) }^{2} }{ \ { \sin(x) }^{2} } \)

If so:

\(3 \sin(x) = 4 \cos(x) \\ \frac{3 \sin(x) }{ \cos(x) } = 4 \\ \frac{ \sin(x) }{ \cos(x) } = \frac{4}{3} \\ \tan(x) = \frac{4}{3} \)

Did the question specify which quadrant? I'm just going to assume that it's the first

(as tangent = opp/adj)

hence

Hypotenuse:

\( \sqrt{{3}^{2} + {4}^{2} } = 5\)

\( \sin(x) = \frac{4}{5} \)

Finally,

\( \frac{ { \tan(x) }^{2} }{ { \sin(x) }^{2} } = \frac{ { \frac{4}{3} }^{2} }{ { \frac{4}{5} }^{2} } \\ = 2 \frac{7}{9} \)

Answer:

$974.50

Step-by-step explanation:

The sales tax is 0.0925($891.99), or $82.51.  We need only add this amount to the listed price ($891.99) to find the total cost with sales tax included:

$891.99

+    82.51

--------------

$974.50

An alternative approach would be to multiply the listed price by 1.0925:

1.0925($891.99) = $974.50

Here the '1' refers to the listed price and the '0.0925' to the sales tax.

Answer:

5

Step-by-step explanation:

A cinquain is a five-line poem, with a set number of words in each line The French word "cinq" means five, which is why it is called a cinquain. Here is an example.

Apples,

Rosy, juicy,

Sweet, delicious, crisp,

Better still in pies,

Apples.

hope this helps and plz mark as brainlest

Answer:

idk

Step-by-step explanation:

Complementary angles are pair angles with the sum of 90 degrees. We have Two complementary angles are in the  ratio 3:7:

α = 3k

β = 7k

Then:

3k + 7k = 90°

10k = 90

k = 90/10

k = 9

The bigger angle is:

β = 7(9) = 63°

Two Angles are Supplementary when they add up to 180 degrees.  Then the supplementary angle for β is:

x = 180 - 63°

Answer: b

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

The probability of being dealt a 3, 4, 5, 6, 7, all in the same suit is approximately 0.0000031.

To calculate the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit, we can use the following formula:

P = (number of favorable outcomes) / (total number of possible outcomes)

the order in which the cards are chosen does not matter, so we need to divide by the number of ways we can arrange 5 cards, which is 5! (5 factorial).

Therefore, the total number of possible outcomes is (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1), which simplifies to 2,598,960.

Finally, we can calculate the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit:

P = 8 / 2,598,960

P = 0.00000308 (rounded to seven decimal places)

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The average speed of the airplane which travels the given distance and time is 400mph.

Speed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.

It is expressed as;

s = distance / time = d / t

Given the data in the question;

To determine the average speed of the airplane, we substitute our given values into the expression above.

s = d / t

s = 1000mi / 2.5hrs

s = 400mph

Therefore, the average speed of the airplane which travels the given distance and time is 400mph.

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The assumption that is NOT part of the least square method for fitting a linear model between two variables, x and y, is:

"There should be a similar amount of variation in the residuals at all values of the predicted response variable."

Finding the linear model that best fits a dataset involves picking the model that minimizes the sum of the squared residuals. In R, a simple linear model can be created using the function "lm(variable_1 ~ variable_2, data = example_df)". Here, "variable_1" represents the explanatory variable or independent variable in the model.

A residual is the distance between the actual (observed) response variable (y) of an observation (data point) and the predicted y value from the model. It is not the letter "c" in the linear model equation, nor the sum of the squared distances between the model's predictions and the observations.

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Answer:

\(mode = l _{1} + ( \frac{d _{1} }{d _{1} + d _{2}} ) \times c \\ \\ = 6.5 + (\frac{50}{50 + 88} ) \times 3 \\ = 7.59\)

Average waiting time for FCFS: 8.75

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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9514 1404 393

Answer:

  all 4 acute angles: 15 degrees

  all 4 obtuse angles: 165 degrees

Step-by-step explanation:

The sum of same-side interior angles between parallel lines is 180°. The smallest of them will be 3/(33+3) = 1/12 of 180°, or 15°. The largest will be 180° -15° = (33/3)(15°) = 165°. All remaining angles are congruent to one or the other of these.

  All four acute angles are 15°; all four obtuse angles are 165°.

Answer:

\(85\:\mathrm{units^2}\)

Step-by-step explanation:

All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.

All right triangles must follow the Pythagorean Theorem \(a^2+b^2=c^2\) where \(c\) is the hypotenuse of the triangle.

Therefore, let \(h\) be the side length of this largest square. Since the area of a square with side length \(s\) is given by \(s^2\), \(h^2\) will represent the area of the square:

\(\sqrt{35}^2+\sqrt{50}^2=h^2=\boxed{85\:\mathrm{units^2}}\)

Answer:

85

Step-by-step explanation:

We can use the Pythagorean theorem (a^2+b^2=c^2) to find the area of square adjacent to the third side.

Area of a square=side^2

So, we can substitute the areas of the squares that share side lengths with the triangle for a^2, b^2, and c^2 in the Pythagorean theorem.

For example, in the diagram above, the area of the square that shares a side with side length a is 35 square units. So, a^2=35.

Let's fill in the remaining values:

a^2 + b^2 = x^2

35+50-x^2
85=x^2
The area of the square adjacent to the third side of the triangle is 85 units^2.

1 [infinity] is not defined because infinity is an abstract concept and cannot be used in the same way as numeric values. Infinity is not a number or a numerical value, and therefore it cannot be used in equations or arithmetic operations.

1. Infinity is an abstract concept and cannot be used in the same way as numeric values.

2. Infinity is not a number or a numerical value.

3. Therefore, it cannot be used in equations or arithmetic operations.

4. Therefore, 1 [infinity] is not defined.

1 [infinity] is not defined because infinity is an abstract concept and cannot be used in the same way as numeric values. Infinity is not a number or a numerical value, and therefore it cannot be used in equations or arithmetic operations.

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The interquartile range (IQR) is a measure of statistical dispersion and is calculated as the difference between the upper quartile (Q3) and the lower quartile (Q1). The interquartile range is 11.

In this case, the five-number summary of the data set is given as 46, 54, 60, 65, and 70. The lower quartile (Q1) is the median of the lower half of the data set, which is 54, and the upper quartile (Q3) is the median of the upper half of the data set, which is 65.

To find the interquartile range, we subtract Q1 from Q3: IQR = Q3 - Q1 = 65 - 54 = 11.

Therefore, the interquartile range of the given data set is 11. The IQR provides a measure of the spread of the middle 50% of the data, capturing the range between the 25th and 75th percentiles.

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The probability that you have a peanut allergy given a positive test result is 50%.

To find the probability that you have a peanut allergy given a positive test result, we can use Bayes' theorem.

Let's define the following events:

A: You have a peanut allergy.

B: The test result is positive.

We are given the following probabilities:

P(A) = 1/5 = 0.2 (1 in 5 individuals is allergic to peanuts).

P(B|A) = 0.4 (if you have a peanut allergy, the test will give a positive result 40% of the time).

P(B|not A) = 0.1 (if you don't have a peanut allergy, the test will give a positive result 10% of the time).

We want to find P(A|B), which is the probability that you have a peanut allergy given a positive test result.

Bayes' theorem states:

P(A|B) = (P(B|A) × P(A)) / P(B)

Now, let's calculate P(B):

P(B) = P(B|A) × P(A) + P(B|not A) × P(not A)

P(not A) is the probability of not having a peanut allergy, which is equal to 1 - P(A):

P(not A) = 1 - P(A) = 1 - 0.2 = 0.8

Now, we can calculate P(B):

P(B) = (0.4 × 0.2) + (0.1 × 0.8) = 0.08 + 0.08

= 0.16

Now, let's calculate P(A|B) using Bayes' theorem:

P(A|B) = (P(B|A) × P(A)) / P(B)

P(A|B) = (0.4 × 0.2) / 0.16

P(A|B) = 0.08 / 0.16

P(A|B) = 0.5

Therefore, the probability that you have a peanut allergy given a positive test result is 50%.

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In hypothesis testing, a Type 1 error occurs when we reject a null hypothesis that's actually true. In other words, we conclude that there's a significant effect or difference when there is not one. The probability of making a Type 1 error is denoted by the symbol alpha( α).

A Type 2 error, on the other hand, occurs when we fail to reject a null hypothesis that's actually false. In other words, we conclude that there's no significant effect or difference when there actually is one. The probability of making a Type 2 error is denoted by the symbol beta( β).

In general, Type 1 errors are considered more serious than Type 2 errors because they lead to false positive results and can have negative consequences, similar as making incorrect opinions or wasting coffers. still, the inflexibility of the consequences depends on the specific situation.

The chances of Type 1 and Type 2 errors are related to the significance position( α) and the power( 1- β) of the hypothesis test, independently. The significance position( α) is the probability of making a Type 1 error and is generally set at 0.05 or 0.01. .

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Answer:

he first step is to write the ratios as fractions.

The next step is to use a  

✔ common denominator

to rewrite the fractions.

Finally, compare the  

✔ numerators

to help you order the ratios.

Step-by-step explanation:

1. Common denominator

2. Numerators

$2^4785733858979-|&duts7stpzo64suprxxruxpu5dp7d058d805d0y7f

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ \(\boxed{p = \frac{-7}{3} }\)

\(-2 = \frac{6}{7}p\)

✽ Flip the equation.

\(\frac{6}{7} p = -2\)

✽  Multiply both sides by 7/6.

\((\frac{7}{6} ) * (\frac{6}{7}p) = (\frac{7}{6} ) * (-2)\)

\(p = \frac{-7}{3}\)

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer:

Collect like terms

-x-x=6-4

Solve

-2x=2, -x=1 or x=-1

Step-by-step explanation:

I hope this helps, please give me brainliest

Answer:

x^2 + 3x + 5

Step-by-step explanation:

sum of the two given side = 2x^3 + 3x^2 + 3x -2

missing side = 2x^3 + 4x^2 + 6x + 3 - 2x^3 - 3x^2 - 3x + 2 = x^2 + 3x + 5

Fernando will have traveled 63 miles after 3.5 hours.

To find the distance Fernando will have traveled after 3.5 hours, we can determine his average speed and then calculate the total distance covered.

We are given that after 0.5 hours, Fernando had ridden 9 miles, and after 1 hour, he had ridden 18 miles. By comparing these two data points, we can see that Fernando is traveling at a constant speed of 18 miles per hour.

To calculate the distance traveled after 3.5 hours, we can multiply the speed (18 miles per hour) by the time (3.5 hours):Distance = Speed × Time = 18 miles/hour × 3.5 hours = 63 miles.

Therefore, Fernando will have traveled 63 miles after 3.5 hours.

It is important to note that this calculation assumes a constant speed throughout the entire race. If the speed varied during the race, the result may be different. However, based on the given information of constant speed, we can conclude that Fernando will have traveled 63 miles after 3.5 hours.

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Answer:

x = 4

y = 30

Step-by-step explanation:

I added a photo of my solution