A house as purchases for $ 6780000.
a- Write the purchase price in million?



b- Write the purchase price in millions nearest to an integer.​

a^2 + b^2 =c^2

1^2 + 2^2 = 1+4 = 5

so no it doesn't make a right triangle

The Linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

The point-slope equation for a line is of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Given the point-slope equation y - 5 = 3(x - 2),

we can see that the slope of the line is 3 and it passes through the point (2, 5).

To find the linear function for the line, we need to write the equation in slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line intersects the y-axis).

To get the equation in slope-intercept form, we need to isolate y on one side of the equation.

We can do this by distributing the 3 to the x term:y - 5 = 3(x - 2)  y - 5 = 3x - 6  y = 3x - 6 + 5  y = 3x - 1

Therefore, the linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

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Answer:

8u - 20

Step-by-step explanation:

Explanation:

With displacement, all we care about is the beginning and end. We don't care about the middle part(s) of the journey. So we'll take the straight line route from beginning to end when it comes to computing displacement.

We start at A(0,0) and end at B(-2,0). Going from A directly to B has us go 2 km west. Keep in mind that displacement is a vector, so you must include the direction along with the distance.

Answer:

c

Step-by-step explanation:

Answer:

(4,11)

Step-by-step explanation:

Answer:

\(x=-2\)

Step-by-step explanation:

Use the distributive property, \(a(b+c)=ab+ac\)

\((2x - 3)(2x + 1) + 35 = 4x (x-5)\\(2x - 3)(2x + 1) + 35 = (4x)(x)-(4x)(5)\\(2x - 3)(2x + 1) + 35 = 4x^2-20x\)

Use the concept of FOIL (First Outer Inner Last ), \((a+b)(c+d)=ac+ad+bc+bd\)

\((2x)(2x)+(2x)(1)-(3)(2x)-(3)(1) + 35 = 4x^2-20x\\4x^2+2x-6x-3 + 35 = 4x^2-20x\\-4x+32 = -20x\\-4x+20x=-32\\16x=-32\\x=\dfrac{-32}{16}\\x=-2\)

They will pay You $5368709.12 on the 30th day

What does the term "compound interest" mean?

Compound interest is when you receive interest on both your interest income and your savings.

You start with a one cent.

You have $0.01 x 2 the following day.

You have $0.01 x 2 x 2 the following day.

and so forth

You will have $0.01 x 2^n-1 on day n.

This means that on the 30th day, you have $0.01 x 2^29 = $5 368 709.12.

That is compound interest at work! It equates to daily payments of 100% interest. It immediately soars to inconceivable heights with even a penny as your initial investment!

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Answer:

5,740 more minutes i hope this helps

Step-by-step explanation:

The expected number of times one needs to flip a fair coin to get two consecutive heads is 6.

To find the expected number of times one needs to flip a fair coin to get two consecutive heads, we can use the concept of conditional probability.

Let E be the expected number of flips needed to get two consecutive heads.

On the first flip, there is a probability of 1/4 of getting two consecutive heads. If this does not happen, we have to start over and flip the coin again.

On the second flip, there is a probability of 1/4 of getting two consecutive heads, but we have already used one flip, so the expected number of additional flips needed is E.

Therefore, we can write the following equation:

E = (1/4)2 + (1/2)(E+1) + (1/4)(E+2)

E = (1/2)( 1 + E + 1 + E/2 + 1)

E = (1/2)(3 + 3E/2)

E = 3/2 + 3E/4

E/4 = 3/2

E = 6

Therefore, the expected number of times one needs to flip a fair coin to get two consecutive heads is 6.

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Answer:

Your not showing the table below

Step-by-step explanation:

so how can I help answer wit out that table

The estimation of 0.000007328 is \(7\times10^{-6\).

Estimation is he ability to guess the amount of anything without actual measurement.

The number (n) is given as:

\(\text{n}=0.000007328\)

Multiply by 1

\(\text{n}=0.000007328\times1\)

The number is to be rounded to the nearest millionth.

So, we substitute \(\frac{1000000}{1000000}\) for 1

\(\text{n}=0.000007328\times1\)

\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)

This becomes

\(\text{n}=7.328\times\dfrac{1}{1000000}\)

Express the fraction as a power of 10

\(\text{n}=7.328\times10^{-6\)

Approximate to a single digit

\(\rightarrow\bold{n=7\times10^{-6}}\)

Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).

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Answer:

I. 6 stacks

ii. 180 pennies

Step-by-step explanation:

Amanda has 30 pennies + 6 extra pennies = 36

stacks =36 ÷ 6= 6

Answer:

4800 ft²

or

5280 ft²

Step-by-step explanation:

The deck is 48 inches by 4 inches in the drawing.

The scale is 60:1, so the real dimensions are 60 times greater than the drawing dimensions.

Let's calculate the real dimensions and also convert to feet from inches.

length = 48 in. × 60 × (1 ft)/(12 in.) = 240 ft

width = 4 in. × 60 × (1 ft)/(12 in.) = 20 ft

The real dimensions of the deck are 240 ft by 20 ft.

area = length × width

area = 240 ft × 20 ft = 4800 ft²

If the correct drawing width is really 4 2/5 in., then the real area is:

48 in. × 4 2/5 in. × 60 × 60 / 144 ft²/in.² = 5280 ft²

Answer:

x = 5

Step-by-step explanation:

Translate the word problem into an equation and solve for x

4x - 25 = -x

Add 25 to both sides

4x = -x + 25

Add x to both sides

5x = 25

Divide both sides by 5

x = 5

As per the question the required hypothesis are

Null Hypothesis, H0: p=0.72

Alternate Hypothesis, H1 : p ≠ 0.72

The null hypothesis reflects that there will be no observed effect in our experiment. In a mathematical formulation of the null hypothesis, there will typically be an equal sign. This hypothesis is denoted by H0.

The null and alternative are always claims about the population. That’s because the goal of hypothesis testing is to make inferences about a population based on a sample.

Often, we infer whether there’s an effect in the population by looking at differences between groups or relationships between variables in the sample. It’s critical for your research to write strong hypotheses.

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Answer:

y = 1500 * 0.9575^t

Step-by-step explanation:

Where 0.9575 is equal to 1 - 0.0425, which represents a decrease of 4.25% each year.

Answer:

The answer is 50%

Step-by-step explanation:

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.

The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.

Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example,  x-2 = 1/x2.

The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.

The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.

The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.

These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.

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The holder of a call will get a dividend provided that the choice is exercised preceding the ex-dividend date.

The proprietor of a long require stock is qualified for a dividend provided that the choice is exercised preceding the ex-dividend date, which is generally a couple of days before the record date. The record date is the date whereupon an organization determines who its investors are to either give a dividend installment or to permit investors to make different sorts of corporate moves. The ex-dividend date is the cutoff time for the exchange to claim the stock to get the dividend. It is before the record date. This permits the exchange time to handle the administrative work important to convey to the investor alongside the dividend.

The long call addresses the right to buy portions of the basic stock for a specific measure of time. Except if exercised, it doesn't give similar advantages as possessing the stock outright. American-style choices can be exercised whenever preceding expiration. This is not quite the same as European-style choices, which must be exercised on their expiration date.

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the complete question is:

On the day prior to the ex-dividend date for an ordinary cash dividend, a holder of a call tenders an exercise notice. The investor will be__________________________________________.

The equation of the circle with center at (-7, 1) and radius of 11 is (x + 7)² + (y - 1)² = 121.

To find the equation of a circle with a given center and radius, we use the standard form equation of a circle:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

In this case, the center is given as (-7, 1) and the radius is 11. So we substitute these values into the standard form equation and simplify:

(x - (-7))² + (y - 1)² = 11²

(x + 7)² + (y - 1)² = 121

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The total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

To find the total amount of money earned by Nora over 21 years, we need to calculate the salary for each year and then sum them up.

In the first year, Nora's salary is $40,000.

In the second year, her salary will be increased by 3%, so it will be:

$40,000 + 3% of $40,000 = $40,000 + $1,200 = $41,200.

In the third year, her salary will again increase by 3%, so it will be:

$41,200 + 3% of $41,200 = $41,200 + $1,236 = $42,436.

We can continue this process for each year, adding 3% of the previous year's salary to calculate the next year's salary.

To calculate the total amount of money earned over the 21 years, we need to sum up the salaries for each year. Here's the calculation:

Total = $40,000 + $41,200 + $42,436 + ... (21 terms)

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Total = (n/2) * (2a + (n - 1)d)

where:

n = number of terms (21 in this case)

a = first term ($40,000)

d = common difference (3% of the previous year's salary)

Plugging in the values:

Total = (21/2) * [2(40,000) + (21 - 1)(0.03)(40,000)]

Simplifying further:

Total = (21/2) * [80,000 + 20(0.03)(40,000)]

= (21/2) * [80,000 + 2,400(40,000)]

= (21/2) * [80,000 + 96,000]

= (21/2) * 176,000

= 21 * 88,000

= 1,848,000

Therefore, the total amount of money earned by Nora salary over the 21 years is approximately $1,848,000.

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The conditions for constructing a t confidence interval are not met in this scenario. Let's analyze each condition:

1. Random Condition: The random condition requires that the sample is selected randomly from the population of interest. However, it is not explicitly stated whether the manager selected the sample randomly.

If the sample is not randomly selected, the assumption of independence may not hold, and the random condition is not met.

2. 10% Condition: The 10% condition states that the sample size should be less than 10% of the population when sampling without replacement. Since the population size is not mentioned, we cannot determine if the sample size of 10 deliveries is less than 10% of the population. Without this information, we cannot confirm if the 10% condition is met.

3. Normal/Large Sample Condition: The Normal/large sample condition requires that the sampling distribution of the sample mean is approximately normal.

This condition is typically satisfied when the sample size is large (usually considered as n ≥ 30) or when the population distribution is known to be normal. In this case, the sample size is only 10 deliveries, which is relatively small. Therefore, the Normal/large sample condition is not met.

Based on the above analysis, we can conclude that the conditions for constructing a t confidence interval are not met in this scenario. It is important to ensure that these conditions are satisfied to perform reliable statistical inference and estimate the mean accurately. If the conditions are not met, alternative methods or further considerations may be necessary to make inferences about the population mean.

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The average velocities for the given time periods has been calculated and the instantaneous velocity when t = 2 is -24 ft/s.

To find the average velocity for the given time periods, we need to calculate the change in position divided by the change in time. The formula for average velocity is:

Average Velocity = (Δy) / (Δt)

For the time period of 0.5 seconds:

Substituting t = 2 and t = 2.5 into the equation \(y = 40t - 16t^{2}\), we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\)

\(y2 = 40(2.5) - 16(2.5^2) = 100 - 100 = 0 ft\)

Δy = y2 - y1 = 0 - 16 = -16 ft

Δt = 0.5 seconds

Average Velocity = (Δy) / (Δt) = (-16 ft) / (0.5 s) = -32 ft/s

For the time period of 0.1 seconds:

Substituting t = 2 and t = 2.1, we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\\ y2 = 40(2.1) - 16(2.1^{2}) = 84 - 72.24 = 11.76 ft\)

Δy = y2 - y1 = 11.76 - 16 = -4.24 ft

Δt = 0.1 seconds

Average Velocity = (Δy) / (Δt) = (-4.24 ft) / (0.1 s) = -42.4 ft/s

For the time period of 0.05 seconds:

Substituting t = 2 and t = 2.05, we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\\ y2 = 40(2.05) - 16(2.05^{2}) = 81 - 68.56 = 12.44 ft\)

Δy = y2 - y1 = 12.44 - 16 = -3.56 ft

Δt = 0.05 seconds

Average Velocity = (Δy) / (Δt) = (-3.56 ft) / (0.05 s) = -71.2 ft/s

For the time period of 0.01 seconds:

Substituting t = 2 and t = 2.01, we have:

\(y1 = 40(2) - 16(2^2) = 80 - 64 = 16 ft\\ y2 = 40(2.01) - 16(2.01^2) = 80.4 - 64.3216 = 16.0784 ft\)

Δy = y2 - y1 = 16.0784 - 16 = 0.0784 ft

Δt = 0.01 seconds

Average Velocity = (Δy) / (Δt) = (0.0784 ft) / (0.01 s) = 7.84 ft/s

To find the instantaneous velocity when t = 2, we need to calculate the derivative of the position function y(t) with respect to t.

Taking the derivative of \(y = 40t - 16t^{2}\) gives us the velocity function v(t):

\($v(t) = \frac{{d}}{{dt}} (40t - 16t^2) = 40 - 32t$\)

Substituting t = 2 into v(t), we have:

v(2) = 40 - 32(2) = 40 - 64 = -24 ft/s

Therefore, the instantaneous velocity when t = 2 is -24 ft/s.

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Answer:

here, 1m= 100 cm

so, 5m= 5 ×100 cm=500cm

and 150 cm

now, the ratio of 154cm to 5m is = 154÷500

therefore the ratio is 77/250.

hope its helpful..

Answer:

1

Step-by-step explanation:

First, take a look at this.

We also know that we can cancel out a lot of fractions.

1. DISCRETE RANDOM VARIABLES

1.1. Definition of a Discrete Random Variable. A random variable X is said to be discrete if it can

assume only a finite or countable infinite number of distinct values. A discrete random variable

can be defined on both a countable or uncountable sample space.

1.2. Probability for a discrete random variable. The probability that X takes on the value x, P(X=x),

is defined as the sum of the probabilities of all sample points in Ω that are assigned the value x. We

may denote P(X=x) by p(x) or pX(x). The expression pX (x) is a function that assigns probabilities

to each possible value x; thus it is often called the probability function for the random variable X.

1.3. Probability distribution for a discrete random variable. The probability distribution for a

discrete random variable X can be represented by a formula, a table, or a graph, which provides

pX (x) = P(X=x) for all x. The probability distribution for a discrete random variable assigns nonzero

probabilities to only a countable number of distinct x values. Any value x not explicitly assigned a

positive probability is understood to be such that P(X=x) = 0.

If two quantities have same units, they will be comprised of the same basic physical quantities and hence their dimensions will be same. Same dimensions do not represent the same physical quantity. For example, The kinetic energy and the potential energy are measured in the same units but they possess different physical quantities.

The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics. As a result, a line has a dimension of one because a point on it can be specified by a single coordinate, such as the point at 5 on a number line.

Two quantities with the same units will be made up of the same fundamental physical quantities, resulting in identical dimensions. The same physical quantity does not have the same dimensions. For instance, although having different physical properties, kinetic energy and potential energy are measured in the same units.

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