1. You withdraw $17 from your account.
IL A running back loses 17 yards in a game.
III. The temperature rises 17 degrees.
The integer -17 would BEST represent which of these events?
les ))
A)
I only
B)
III only
I and II only
Eliminate
D)
II and III only

In order to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population, a large sample size is required.

We are given that the sample proportion must be within 0.02 of the true fraction of the voting population, and we are required to be 96% confident. This can be represented as follows:

p ± 0.02

Where p is the true population proportion. This implies that the margin of error is 0.02. We need to find the sample size, which is usually denoted by n.To find the sample size n, we use the formula:

n = (z/ε)² * p(1 - p)

where z is the critical value, ε is the margin of error, and p is the proportion of the population that is being sampled.In this case, z is the z-score that corresponds to a 96% confidence interval, which can be found using the z-table or a calculator.

The z-score is 1.75068607 (rounded to 1.751).

Also, we are given that the margin of error (ε) is 0.02. Finally, we do not have any information about the true population proportion (p), so we will use 0.5 as a conservative estimate.

Substituting these values into the formula, we have:

n = (1.751/0.02)² * 0.5(1 - 0.5)n = 1764.44 (rounded up to 1765)

Therefore, a sample size of at least 1765 is required to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population.

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The angle the rope makes with the ground is approximately 34.85 degrees.

The situation form a right angle triangle.

Therefore, the 35 meters rope attached to the top of tree to the ground is the hypotenuse of the triangle.

The height of the tree is the opposite side of the triangle.

Therefore, using trigonometric ratios we can find the angle the rope make with the ground.

let

∅ = angle the rope make with the ground

sin ∅ = opposite / hypotenuse

sin ∅ = 20 / 35

∅ = sin⁻¹ 0.57142857142

∅ = 34.849904579

∅ = 34.85°

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Answer:

a) 72

b) 1/72

c) 1/36

Step-by-step explanation:

a) number of ways she can choose route= 3C1 = 3

   number of ways she can choose parking lots= 4C1 = 4

number of ways she can choose entrances= 3C1 = 3  

number of ways she can choose elevators= 2C1 = 2

number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators

      number of ways she can go to office= 3×4×3×2

                                                                      = 72

b) Probability of morning side= number of morning side/ total number of routes=  1/3

probabiltiy of Parking lot A=  number of parking lot A/ total number of parking lot= 1/4

probability of south entrance= number of south entrance/ total number of entrances=  1/3

probablity of elevator 1=  number of elevator 1/ total number of elevator= 1/2

combine probability= 1/3× 1/4×1/3×1/2 = 1/72

c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3

Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2

Probability of north entrance= number of north entrance/ total number of entrance= 1/3

probablity of elevator 2= number of elevator 2/ total number of elevator

                                      = 1/2

combine probability= 1/3 × 1/2 × 1/3 ×1/2

                                  = 1/36

Answer:

m<1 = 70  m<2 = 110  m<3 = 70  m<4 = 110

Step-by-step explanation:

m<2 and m<4 equal the same amount, so since when they are added they equal 220, you can just divide by 2.

220/2 = 110

so, m<2 and m<4 both equal 110.

A straight line has an angle of 180, so you can take 110 from angle m<2 and subtract it from 180 to find m<1

180 - 110 = 70

m<1 = 70

m<1 and m<3 also both equal the same amount, so they both equal 70.

m<1 = 70     m<3 = 70

The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.

This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.

Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.

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Answer:

21 dollars

Step-by-step explanation:

Answer:

$21

Step-by-step explanation:

Make the original statement into a ratio.

$28/4

Simplify the fraction above.

$28/4 = 7

So, you earn $7 per car you wash.

As a result, you multiply $7 by the number of cars the question is asking you for. In this case it is 3 cars.

So, you multiply 7 x 3

7 x 3 = 21

Therefore, you will earn $21 for washing 3 cars.

Answer:

65

Step-by-step explanation:

180-100 (40+60) =80

80+35= 115

180-115=65

The intersection of two evens a and b is the event that both a and b occur that is option A is correct.

The intersection of two events A and B is defined as the event that occurs when both A and B occur simultaneously. It is denoted by A ∩ B, where the symbol ∩ represents intersection.

For example, if event A is "getting a head when flipping a coin" and event B is "rolling a 6 on a fair die", then the intersection of A and B would be the event "getting a head when flipping a coin and rolling a 6 on a fair die".

For example, suppose A represents the event "rolling an even number on a dice" and B represents the event "rolling a number greater than 3 on a dice". The intersection of A and B is the event that "rolling a number that is both even and greater than 3 on a dice", which consists of the outcomes {4, 6}.

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Complete Question:

the intersection of two events a and b is the event that:

a) both a and b occur.

b) the union of ac and bc occurs.

c) the union of a and b does not occur.

d) either a or b or both occur.

e) either a or b, but not both.

f) none of the above.

We have to solve the system:

To solve this system by elimination we have to add or substract a linear combination of the second equation from the first equation in order to eliminate one of the variables.

In this case we can multiply the first equation by 2 and add it to the second equation:

Now we can use any of the two equations to find y:

Answer: x=-3 and y=-4

Answer:

Step-by-step explanation:

The inequality that represents the cost c per 14 squares for a new carpet with a budget of $700 is: c ≤ 700/14 = 50 Therefore, the answer is:

The inequality is c ≤ 50.

Assuming that the price of the carpet is constant per square foot, we can write the following inequality to represent the cost c per 14 squares:

c/14 ≤ 700

This inequality states that the cost per 14 square feet (c/14) cannot exceed $700, which is the total amount of money available to purchase the carpet.

To write an inequality representing the cost of a new carpet per 14 square feet, we need to first define the cost per square foot. Let's say the cost per square foot is $x. Then, the cost of the carpet for 14 square feet would be 14x.

Since we have a budget of $700, we can write the inequality:

14x ≤ 700

This inequality represents that the cost of the carpet for 14 square feet should be less than or equal to $700. We can solve for x by dividing both sides by 14:

x ≤ 50

This means that the cost per square foot of the carpet should be less than or equal to $50 for it to fit within the budget of $700.

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Step-by-step explanation:

Draw and label a diagram!!

540 cm2 = (p cm)(q cm) / 2

1080 cm2 = 45 cm (p cm)

24 cm = p

The four right triangles have legs of 12 and 22.5

The distance to a side of the rhombus is the length of the altitude to the hypotenuse..

The amount in the account after seven years is approximately $4,582.72.

Compounding refers to the process of earning interest not only on the principal amount of an investment but also on the interest that the investment has previously earned.

The continuous compounding formula is given by:

\(A = Pe^{(rt)}\)

where A is the amount in the account, P is the initial principal, e is the base of the natural logarithm (approximately 2.71828), r is the annual interest rate (as a decimal), and t is the time in years.

In this case, we have P = 2700, r = 0.065, and t = 7. Plugging these values into the formula, we get:

\(A = 2700e^{(0.0657)} \\A= $4,582.72\)

Therefore, the amount in the account after seven years is approximately $4,582.72.

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Answer:

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

x + 3 + 16 = 25

x + 19 = 25

x = 6

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Answer:

RH = 8.2 units

Step-by-step explanation:

total circumference = 2rπ = 2(10)(3.14) = 62.8 units

RH = (47°/360°)(62.8) = 8.2 units

Answer:

2nd option

Step-by-step explanation:

(5x² - 4x - 1) - (- 4x² - 4)

remove first set of parenthesis and distribute second set by - 1

= 5x² - 4x - 1 + 4x² + 4 ← collect like terms

= 9x² - 4x + 3

Answer: I can't answer that, you'll need to know the quadrant.

Step-by-step explanation:

Quadrants are not numbered clockwise or counterclockwise, but instead are labeled by letter.

However, some people might approximate the distance mathematically with something like this equation: =sqrt(((4-1)^2) + ((3-(-2))^2)) which would give an estimation of 2.16356+8.75449 for a total approximation of 10.9095 . For people who just want to know how many units separate these points on a graph which is drawn with Cartesian coordinates it's 4 units horizontally and 3 vertically below y=1x=-2 or -4 units if y=0

Answer:

flour per cup of sugar=2 1/2 cups of flour

sugar per cup of flour=2/5 cups of sugar

Step-by-step explanation:

The altitude of the equilateral triangle is 2√3

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The triangle is an equilateral triangle and this means that all its sides are equal.

Bisect the equilateral triangle into 2, this means that the base part is divided and one side will be 2.

Using Pythagorean theorem;

The height of the triangle is calculated as;

h² = 4² - 2²

h² = 16 -4

h² = 12

h = √12

h = 2√3

Therefore the altitude of the triangle is 2√3

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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The ratio of the cooling time of Earth to the cooling time of the exoplanet is 16,777,216.

An exoplanet, also known as an extrasolar planet, is a planet that orbits a star other than the Sun, which is part of our solar system. An exoplanet is one of many planets that might exist in the universe outside of our solar system.

The ratio of the cooling time of Earth to the cooling time of the exoplanet can be determined using Stefan-Boltzmann's Law and Wien's Law.

We first need to use the Stefan-Boltzmann Law in order to calculate the cooling time.

σT⁴ = L/(16πR²)

σ(5780)⁴ = (3.846 × 10²⁶ W)/(16π(6.3781 × 10⁶)² m²)

Ratio of the exoplanet's radius to the Earth's radius:

re/rE = 8.00

Ratio of the exoplanet's mass to the Earth's mass:

me/mE = (re/re)³ = 8³ = 512 (since density is assumed to be the same for both planets)

Ratio of the exoplanet's luminosity to the Earth's luminosity:

Le/LE = (me/mE)(re/rE)² = 512(8)² = 32768

Ratio of the exoplanet's temperature to the Earth's temperature:

Te/TE = (Le/LE)¹∕⁴ = 32768¹∕⁴ = 32.0

The Wien Law can now be used to determine the ratio of the cooling times of the two planets.

(T/wavelength max)E = 2.898 × 10⁻³ m K(5780 K) = 1.68 × 10⁻⁸ m (using Earth as the comparison planet)

(T/wavelength max)e = 2.898 × 10⁻³ m K(Te)(8.00) = wavelength max (using the exoplanet)

Ratio of the wavelengths:

wavelength max,e/wavelength max,E = (Te/TE)(re/rE) = 32.0 × 8.00 = 256

Ratio of the cooling times:

cooling time,e/cooling time,E = (wavelength max,e/wavelength max,E)³ = 256³ = 16,777,216

Hence, the ratio of Earth's cooling time to the exoplanet's cooling time is 16,777,216.

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Step-by-step explanation:

Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32

Papa seca = \(\frac{1}{2} *4\)

                     = 2 papas secas

Cerdo = \(\frac{1}{2} *4\)

       = 2 kg de carne de cerdo

Cebollas = 1 * 4

            = 4 cebollas grandes

Aji panca = 3 * 4

               = 12 cucharadas de aji panca

Ajo molido = \(1\frac{1}{2} *4\)

                       = \(\frac{3}{2} *4\)

                       = 6 cucharadas de ajo molido

Sal = 1 * 4

      = 4 cucharadas de sal

Answer:

b=-7    or the y-intercept is -7

Step-by-step explanation:

-7= =3(0)+b

-7=b

Option d. dependent variable. In an experiment, the dependent variable is the factor that is being measured or observed.

It is the variable that is expected to change or be affected as a result of the manipulation of the independent variable. The independent variable is the factor that is being manipulated or controlled in the experiment, while the controlled variable is a factor that is kept constant or consistent throughout the experiment to prevent it from affecting the dependent variable. The dependent variable is often used to draw conclusions about the relationship between the independent variable and the outcome of the experiment.

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The correct option is B. The equation B. 0.1x = 2.30 can be used to determine the number of laps Ronkeata swam, and the solution is x = 23.

The equation that can be used to determine the number of laps Ronkeata swam is B. 0.1x = 2.30.
This is because her uncle pledges to give $0.10 for every lap Ronkeata swims. So, the amount of money her uncle gives can be represented as 0.1 times the number of laps she swims.
We know that her uncle gave the team $2.30 based on the number of laps Ronkeata swam. Therefore, we can set up the equation 0.1x = 2.30, where x represents the number of laps Ronkeata swam.
To solve for x, we can divide both sides by 0.1:
0.1x/0.1 = 2.30/0.1
x = 23
Therefore, Ronkeata swam 23 laps during the fundraiser.
In conclusion, the equation B. 0.1x = 2.30 can be used to determine the number of laps Ronkeata swam, and the solution is x = 23.

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The percent of change is an increase in altitude of the weather balloon.

Change in altitude = New altitude - Original altitude

= 103 ft - 100 ft

= 3 ft

Percentage change = Change in altitude / Original altitude × 100

= 3 / 100 × 100

= 3%

Therefore, the percentage change in the altitude of the weather balloon is 3%.

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Answer:

\(0.07\)

Step-by-step explanation:

FORMULA :

\(p\left( A|B\right) =\frac{p\left( A\cap B\right) }{p\left( B\right) }\)

……………………………

then

\(p\left( \text{drive to school} |sophomore\right) =\frac{p\left( \text{drive to school} \cap \text{sophomore} \right) }{p\left( \text{sophomore} \right) }\)

                                \(= \frac{2}{2+25+3}\)

                                \(=\frac{2}{30}\)

                                \(=\frac{1}{15}\)

                                \(=0.066666666667\)

Answer:

la respuesta seria,487,975

Step-by-step explanation:

Si resta 655,000 - 25.5% entonces la respuesta es 487,975 dólares con el plazo se le carga.

Espero que esto haya ayudado :)

The price when selling on installments be $822025.

Given is that the value of a house is $655,000 in cash, but when selling it on installments, you are charged 25.5% of its price.

Assume the price when selling on installments be $x. Then, we can write new price as -

[x] = 655000 + {25.5% of 655000}

[x] = 655000 + {25.5/100 x 655000}

[x] = 655000 + {25.5 x 6550}
[x] = 655000 + 167025

[x] = $822025

Therefore, the price when selling on installments be $822025.

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{Question in english would be

The value of a house is $655,000 in cash, but when selling it on installments, you are charged 25.5% of its price. What is the final cost of the house if it is sold in installments?}

Answer:

$595.34

Step-by-step explanation:

Step one

given data

interest rate of 2.5%= 0.025

final amount= $690

time = 6 years

Required

Principal P

Step two

The compound interest formula is

\(A= P(1+r)^t\)

substitute

\(690=P(1+0.025)^6\\\\690=P(1.025)^6\\\\690=P1.159\\\\\)

divide both sides by 1.159

P=690/1.159

P= $595.34

Answer:

590

Step-by-step explanation:

Answer from delta math

Answer:

Multiply  5 *4  by  5* 8  by adding the exponents

5

12

Raise  

5

to the power of  

12

.

244140625

Step-by-step explanation: