please help! I'd greatly appreciate it!

Answer:

Step-by-step explanation:

a

The solution to the given algebraic expression 3(2-4x) = 5-8x is x = 1/4

3(2-4x) = 5-8x

open parenthesis

6 - 12x = 5 - 8x

combine like terms

6 - 5 = -8x + 12x

1 = 4x

divide both sides by 4

x = 1/4

Ultimately, x = 1/4 is the answer to the algebraic expression.

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(1) The sample size (n)>30 and population standard deviation (σ) is unknown then we use one sample t-test we get.

(2) There is sufficient evidence to conclude that, the customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised.

Test the hypothesis that the client is prepared to buy a watch unless it can be shown that the average lifespan is shorter than what is claimed using a significance level of α=0.05.

Given that,

Sample size (n)=50

Sample mean (x−)=738.44

Sample standard deviation (S)=38.2 where (S)2=1,459.24

The null and alternative hypothesis are,

H(0): μ≥800

vs

H(1): μ<800

(1) In the given question we have to explain why the test statistic has a normal distribution despite the experimenter being unaware of the distribution of the population of digital watches.

The sample size (n)>30 and population standard deviation (σ) is unknown then we use one sample t-test we get.

(2) In the given question we have to devise an appropriate hypothesis test to determine whether the given customer is willing to purchase a digital watch.

Then test statistic becomes,

t = x−μ/(s/√n)

t = 738.44−800/(38.2/√50)

t = −61.56/5.40229

t = −11.40

Here the test is one tailed (left tailed) at α=0.05

Then degrees of freedom=(n-1)=(50−1)=49

Thus P-value becomes,

P-value = <0.00001

The P-value is less than or equal to α=0.05

Then we reject the null hypothesis H(0).

We use excel command to find the P-value we get,

=T.DIST( x, deg _freedom, TRUE)

=T.DIST(-11.40 , 49,TRUE)

=<0.00001

There is sufficient evidence to conclude that, the customer is willing to purchase a watch unless it can be demonstrated that the average lifetime is shorter than what is advertised.

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The right question is given below:

A relative frequency distribution, which is connected to a probability distribution and is widely used in statistics. The relative frequency of people who strongly agree with the statement is 0.70.

A relative frequency distribution, which is connected to a probability distribution and is widely used in statistics, illustrates the proportion of the total number of observations associated with each value or class of values.

The complete question is:

A workplace gave an “Employee Culture Survey” in which 500 employees rated their agreement with the statement, “I feel respected by those I work for.”The relative frequency of people who strongly agree with the statement is?

Assume that there are 350 employees who agrees that they feel respected . Therefore, the number of desired outcomes for the survey will become 350, while the total outcomes will become 500. Therefore, the relative frequency can be written as,

Relative frequency

= Number of desired outcomes/ Total number of outcomes

=  350/500

= 0.70

Hence, The relative frequency of people who strongly agree with the statement is 0.70.

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The graph of g(x) = √(x - 16) is given by the image presented at the end of the answer.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function in this problem is given as follows:

f(x) =√x

Which has vertex at the origin.

The function g(x) = √(x - 16) is equivalent to g(x) = f(x - 16), which is a translation right 16 units of f(x), according to the graph presented at the end of the answer.

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1.09 × 10^-4 in standard form is

Answer:

all

Step-by-step explanation:

have the awnserbbbnnnnnnnnnnnn

Answer:

$271

Step-by-step explanation:

$741-$199= $542

$542/2= $271

271=p

Irenes $271+ Rochelles $271+199 more than Irene= $741

Irene only raised $271 and rochelle raised 470$

Answer:

n=15

Step-by-step explanation:

\(\frac{5}{2}=\frac{n}{6}\\\\n=6(\frac{5}{2})\\\\n=15\)

Answer:

n=15

Step-by-step explanation:

6÷2=3

3×5=15

Using the z-distribution, the observed test statistic is given as follows:

z = 3.69.

At the null hypothesis, it is tested if older students have the same mean as the general population, that is:

\(H_0: \mu = 115\)

At the alternative hypothesis, it is tested if they have a greater mean, that is:

\(H_0: \mu > 115\)

The test statistic is:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which:

For this problem, the parameters are:

\(\overline{x} = 135.2, \mu = 115, \sigma = 30, n = 30\)

Hence the test statistic is:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{135.2 - 115}{\frac{30}{\sqrt{30}}}\)

z = 3.69.

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer: D

Step-by-step explanation:

Answer:

Las primeras y quizá más sobresaliente características del monasterio y palacio real San Lorenzo de el Escorial son la composición geométrica y simétrica del edificio, el uso de los espacios cuadrados, y la preferencia por lo poco ornamentado, esto resulta bastante contrastante con la arquitectura regular de Europa, en la cual, sobre todo en Italia había predilección por las líneas curvas, los espacios ovalados, circulares, asimétricos y la predominación de un estilo muy ornamanetado con la intención de mover intensamente al espectador ante la unión del poder terrenal y espiritual. Existen rasgos en común con la arquitetura barroca foránea, como el uso de lo clásico como modelo riguroso y la necesidad de representar la grandiosidad e imponencia de la nobleza en la magnitud del palacio. Juan de Herrera fue el arquitecto del rey Felipe II, y quien impuso como estilo español arquitectónico barroco lo poco ornamentado, el recuerdo de lo clásico y los edificios de líneas rectas y grandes magnitudes.

Answer:

( − 1 , ∞ )

Step-by-step explanation:

( − 1 , ∞ )

Therefore, it would take approximately 19.02 years for an investment to at least double its original amount at a semi-annual compound interest rate of 3.62%.

When an investment is made with a certain amount, the compound interest rate is used to calculate the return on investment. In addition, the number of times interest is compounded each year can have an impact on the investment's outcome.

This question asks about how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%.

To solve for how long it would take for an investment to double at a semi-annual compound interest rate of 3.62%, we need to use the formula for the future value of an annuity:

Future value of an annuity = Payment (1 + r/n)^(nt)where:r is the annual interest raten is the number of times interest is compounded per year Payment is the original amount is the number of years

To solve for t, we can rearrange the formula as follows:t = log(Payment/Future value of an annuity) / log(1 + r/n)where log is the natural logarithm.

The future value of the investment is double the original amount, so we can plug in 2 for Future value of an annuity and simplify the formula to get:t = log(2) / log(1 + 0.0362/2)t = 19.02 years

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hello

to solve this question, let's identify the independent an dependent variable.

*independent variable: this is the variable that can stand alone on it own. It is usually equated with the rest of the equation.

in this question, the independent variable is y

*dependent variable: this is the variable that can't stand on it's own and also depends on the other side of the equation.

in this question, the dependent variable is x

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer:

\(P(x \le 5) = 0.0110\)

Step-by-step explanation:

Given

\(n = 17\) -- number of properties

\(p = 60\%\) --- probability of selling a property

Required

\(P(x \le 5)\)

The question is an illustration of binomial probability, and it is calculated using:

\(P(x ) = ^nC_x * p^x * (1 - p)^{n-x}\)

So, we have:

\(P(x \le 5) = P(x = 0) +P(x = 1) +P(x = 2) +P(x = 3) +P(x = 4) +P(x = 5)\)

\(P(x=0 ) = ^{17}C_0 * (60\%)^0 * (1 - 60\%)^{17-0} = 1.71798692*10^{-7}\)

\(P(x=1 ) = ^{17}C_1 * (60\%)^1 * (1 - 60\%)^{17-1} = 0.00000438086\)

\(P(x=2 ) = ^{17}C_2 * (60\%)^2 * (1 - 60\%)^{17-1} = 0.00005257039\)

\(P(x=3 ) = ^{17}C_3 * (60\%)^3 * (1 - 60\%)^{17-3} = 0.00039427799\)

\(P(x=4 ) = ^{17}C_4 * (60\%)^4 * (1 - 60\%)^{17-4} = 0.00206995948\)

\(P(x=5 ) = ^{17}C_5 * (60\%)^5 * (1 - 60\%)^{17-5} = 0.008072842\)

So, we have:

\(P(x \le 5) = 1.71798692*10^{-7}+0.00000438086+0.00005257039+0.00039427799+0.00206995948+0.008072842\)

\(P(x \le 5) = 0.01059420251\)

\(P(x \le 5) = 0.0110\)

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Add 7 to both sides.

Add −4 and 7 to get 3.

Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.

Multiply 3 and 3 to get 9.

Using the Pythagorean theorem, the ramp extends 9.68 feet past the back of the van.

What is the Pythagorean theorem?

Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle. The sides of the right triangle are also called Pythagorean triples. Pythagoras theorem is basically used to find the length of an unknown side and the angle of a triangle. By this theorem, we can derive the base, perpendicular and hypotenuse formulas.

Pythagoras formula:-

Hypotenuse² = Perpendicular² + Base²

c² = a² + b²

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse

Now,

For given situation,

Hypotenuse=10feet, perpendicular=2.5feet and we have to find base

Therefore

10^2=b^2+2.5^2

b^2=100-6.25

b=√93.75

b=9.68 feet

Hence,

The ramp extends 9.68 feet past the back of the van.

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26,460 cans of soda

Step-by-step explanation:

First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460

value for c is 2±√52/6 after putting Rolle's theorem

What exactly is Rolle's theorem?

According to Rolle's theorem, "If a function f is defined in the closed interval [a, b] in such a way that it satisfies the following conditions:

If is continuous on [a, b],

ii) f is differentiable on (a, b),

iii) f (a) = f (b),

then there exists at least one value of x, let us assume this value to be c

Rolle's theorem can be stated mathematically as follows:

Let f: [a, b] R be continuous on [a, b] and differentiable on (a, b), such that f(a) = f(b), where a and b are real numbers. Then there is some c in (a, b) such that f'(c)=0

first put the value[-2.2]:

f(-2)= -8-4-(-8)+3

f(-2)= -4+3

f(-2)=-1

for f(2):

f(2)=8-4-8+3

f(2)=4-8+3

f(2)=-1

Hence therefore f(-2)=f(2):

f'(c)=-2

f(x)=x³-x²-4x+3

    =3x²-2x-4=0

ROLLE'S THEOREM:  = -b±√b²-4ac/2a

Here

a = 3

b =-2

c =-4

=2±√4-4×(3)(-4)/2×3

=2±√52/6

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Answer:

20

Step-by-step explanation:

[16] f(-3) = -5

      #17 is asking us to find what the function equals when x is equal to -3. We will find x = -3 on the graph, then find what y equals.

[17] f(4) = 0

      #17 is quite similar, it is asking us to find what the function equals when x is equal to 4. We will find x = 4 on the graph, then find what y equals.

You asked in the comments for #16 and #17, I hope this helps.

From the pythagorean theoream, we know that:

Now that we have the measure of CB, remember that the tangent relationship of a right triangle is opposite side/ adjacent side of the angle:

Answer:

A. because -1 is indeed 3 units to the left, or -3/+(-3) to the right.

P.s.

Please give me brainliest for my next rank.

If inversion be defined on K as a physical act of turning a member of K upside down. Then it will be the upside-down triangle.

consider the set K = (triangle, upside-down triangle, square, rectangle). Inversion is defined on K as the act of turning a member of K upside down.

To determine which shape is the triangle, follow these steps:
1. Identify the properties of each shape in set K:
  - Triangle: 3 sides and 3 angles
  - Upside-down triangle: same properties as a triangle, but inverted
  - Square: 4 sides, all equal in length, and 4 right angles
  - Rectangle: 4 sides, opposite sides equal in length, and 4 right angles
2. Analyze the effect of inversion on each shape:
  - Triangle: Inverting a triangle results in an upside-down triangle.
  - Upside-down triangle: Inverting an upside-down triangle results in a regular triangle.
  - Square: Inverting a square does not change its appearance.
  - Rectangle: Inverting a rectangle does not change its appearance.
3. Identify the shape that becomes a triangle after inversion:
  - The upside-down triangle becomes a regular triangle after inversion.
So, the shape in set K that corresponds to the triangle after applying inversion is the upside-down triangle.

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The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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