Solve 1/2x−5=10−3/4x . Check your solution.



x= __

The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is approximately 82.38%.

Assuming the sample of 30 Americans is representative of the population, we can calculate the sample proportion as the number of individuals in the sample who agree divided by the total sample size. Let's assume that the sample proportion is p'.

To calculate the probability of the proportion exceeding 35%, we need to find the z-score of the value 0.35 using the formula:

z = (p' - p) / √[p * (1 - p) / n]

where p is the population proportion (which we don't know), and n is the sample size (30 in this case). We can use p' as an estimate of p.

Once we find the z-score, we can use a standard normal distribution table or a calculator to find the probability that the z-score is greater than the value we calculated. This probability is the probability that the proportion of Americans who agree that climate change is an immediate threat to humanity exceeds 35%.

For example, if p' = 0.4, then the z-score is:

z = (0.4 - 0.35) /√ [0.35 * (1 - 0.35) / 30] = 1.03

Using a standard normal distribution table, we can find that the probability of a z-score being greater than 1.03 is approximately 0.8238, or about 82.38%.

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Answer:

10X^2-39x+14

(5x-2)(2x-7

Answer:

even power of any integer is always positive so

Step-by-step explanation:

but - (2)^6= -64

and (-2)^6=+64

it basically depends on what the quesrion means

hope it helps

This distance of 8.66 centimeters is the maximum separation of the tips of the hour and minute hands of an analog clock over a 24 hour period.

The distance between the two tips of the hands of an analog clock can be calculated with the Pythagorean Theorem. The difference in time between the two hands is 1 hour, or 15 degrees

1. Calculate the angle between the two hands:

1 hour = 15 degrees

2. Calculate the hypotenuse of the triangle formed by the two hands:

3 cm and 4 cm = 5 cm

3. Calculate the distance between the two tips using the cosine of the angle:

5 cm x 1.73= 8.66 cm

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Answer:

12x^3 + 19x^2 + x - 5

Step-by-step explanation:

To solve this, I set up the problem like this:

(3x^2 + x - 1)(4x + 5)

Now, just distribute everything from the first set of ( ) to the second set of ( ). Here's what you should have when you do that:

12x^3 + 15x^2 + 4x^2 + 5x - 4x - 5

Now, you would just combine like terms, which would get you to the final answer.

Hope this helps!

12x³ + 19x² + x -5

Polynomials are expressions that have multiple terms.

Breaking Apart Polynomials

When multiplying by a polynomial, we can break apart one of the polynomials, and multiply by each term individually. This means to multiply 3x² + x - 1 by 4x + 5, we can break apart the binomial into its separate terms. Instead of trying to multiply everything at once, we can multiply the trinomial by 4x and then multiply the trinomial by 5. Finally, add together the 2 products for the final answer.

Multiplying Polynomials

First, let's multiply the trinomial by 4x.

To find the product, multiply each term of the trinomial by 4x, then add them back together.

So, the first product is 12x³ + 4x²- 4x. Next, let's multiply 5(3x² + x - 1) the same way.

This means that the second product is 15x² + 5x - 5. Finally, let's add the 2 products together.

Then, simplify the expression.

This gives us our final answer. The product of 3x² + x - 1 and 4x + 5 is 12x³ + 19x² + x - 5.

Answer:

48%

Step-by-step explanation:

The average saving = (sum of the total savings/ total number of the the savings)

sum of the total savings= 52%, + 28%, + 34%, + 95%, + 16%, + 63%)

sum of the total savings=288

total number of the the savings=6

The average saving =288/6

=48%

Hence, his average monthly saving is 48%

Answer:

210m^2

Step-by-step explanation:

surface area of a prism=perimeter× height

=(12+5+13) × 7

=210 m^2

Answer:

Step-by-step explanation:

Perpendicular bisecter

A slope of b = 0.007 indicates a weak positive relationship between the two variables, where a small increase in the independent variable corresponds to a small increase in the dependent variable.

The slope of a linear relationship represents the rate of change between two variables. In this case, a slope of b = 0.007 suggests a weak positive relationship between the variables. The positive sign indicates that as the independent variable increases, the dependent variable also tends to increase. However, the small value of 0.007 indicates that the increase in the dependent variable is relatively small for each unit increase in the independent variable.

To illustrate, let's consider an example where the independent variable represents time and the dependent variable represents the number of customers in a store. With a slope of 0.007, it means that for every unit increase in time (e.g., one hour), we can expect a small increase of 0.007 customers on average. This indicates a weak positive relationship, as the increase in customers is relatively modest for each unit increase in time.

In summary, a slope of b = 0.007 indicates a weak positive relationship between the two variables, where a small increase in the independent variable corresponds to a small increase in the dependent variable.

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Gambling formula

is the fraction of the current bankroll to wager. is the probability of a win. is the probability of a loss ( ). is the proportion of the bet gained with a win. E.g. If betting $10 on a 2-to-1 odds bet, (upon win you are returned $30, winning you $20), then .

hope it helps..!!!

The highest score for the given distribution is 25.

This is because the distribution is divided into ranges, with the first range being 20-25, the second range being 15-19, the third range being 10-14, and the fourth range being 5-9.

The highest score in each range is the number on the right side of the dash.

Therefore, the highest score in the first range is 25, the highest score in the second range is 19, the highest score in the third range is 14, and the highest score in the fourth range is 9.

Since 25 is the highest score among all of the ranges, it is the highest score for the entire distribution.

The correct answer is c) 25.

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Answer: The area of a polygon is defined as the area that is enclosed by the boundary of the polygon. In other words, we say that the region that is occupied by any polygon gives its area.

Step-by-step explanation:

Answer:

:D

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

How many students attended the tournament?

The simultaneous equations that would be used to solve this question is:

10a + 7s = 4,200 equation 1

a + s = 450 equation 2

Where:

a = number of adults

s = number of students

The elimination method would be used to solve the equations.

Multiply equation 2 by 10

10a + 10s = 4500 equation 3

3s = 300

Divide both sides of the equation by 3

s = 300 / 3

s = 100

Answer:

100 students who attended the tournament.

Step-by-step explanation:

Let's use algebra to solve the problem. Let's call the number of students who attended the tournament "s" and the number of adults who attended the tournament "a". Then we can write two equations based on the information given:

s + a = 450 (equation 1)

7s + 10a = 4200 (equation 2)

Equation 1 represents the total number of people who attended the tournament, which is 450. Equation 2 represents the total amount of money collected in ticket fees, which is $4,200.

To solve for "s", we can use elimination or substitution. Let's use elimination. We can multiply equation 1 by -7 to get:

-7s - 7a = -3150 (equation 3)

Now we can add equation 3 to equation 2:

-7s - 7a + 7s + 10a = -3150 + 4200

Simplifying the left side and solving for "a", we get:

3a = 1050

a = 350

So there were 350 adults who attended the tournament. We can substitute this value back into equation 1 to solve for "s":

s + 350 = 450

s = 100

Therefore, there were 100 students who attended the tournament.

The range for the scores is 1.0 (from 9.9 to 8.9). The range is the difference between the highest and lowest numbers in a set of numbers. In this case, the highest score is 9.9 and the lowest score is 8.9, so the range is 1.0.

In mathematics, the range of a function can refer to one of two similar terms:

the common area of ​​the function

The image of the function

Given two groups X and Y, the binary relation f between X and Y is a (exact) function (X to Y), if there is a y in Y for every x in X, so f is associated with y. The sets X and Y are called the area of ​​f and the common domain, respectively.

The range is a measure of dispersion in a set of numbers. To find the range, you need to subtract the lowest score from the highest score. In this case, the scores for the Olympic gymnast are: 9.9, 9.8, 9.6, 9.5, 9.7, 9.1, 8.9, and 9.8.

First, identify the highest and lowest scores:
Highest score: 9.9
Lowest score: 8.9

Next, subtract the lowest score from the highest score:
Range = 9.9 - 8.9

The range for the scores is 1.0 (9.9 to 8.9).

Your answer: 1.0 (9.9 to 8.9)

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╭⋟───────────────

\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)

Given,

< BAG = 2x°

< BAC = 90° [ < EAF = 90° (vertically opposite angles are equal to each other)]

< CAD = x°

____________________

Value of x = ?

____________________

From the figure we can see that,

< BAG + < BAC + < CAD = 180° (supplementary angles)

____________________

So to solve,

\( < BAG + < BAC + < CAD = 180 \\ 2x + 90 + x = 180 \\ 2x + x + 90 = 180 \\ 3x + 90 = 180 \\ 3x = 180 - 90 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30\)

⏩ The value of x is \(\boxed{30}\)

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\(RainbowSalt2^{2}2^{2}\) ღ

───────────────⋞╯

Answer:

nope. Maybe...find the angle? hey you said anyone know how to do this so this is my answer. nope. but I gave you a guess how to do this.

Step-by-step explanation:

O_O?

After 2 months, the initial amount will decay by half.

Then, 6,576 * 1/2 = 3,288

After 2 months, will decay by half again:

3,288 *1/2 = 1,644

And finally, after 2 more months;

1,644 * 1/2 = 822

The amount of grams left over 67 months is 822 grams.

Ava's age = b

Ava's sister's age = 2b -9

Answer:

The given statement is true. Reason: Area of a square = side × side Therefore, two squares that have the same area will have sides of the same lengths.

hop this helps

mark me brainliest

Step-by-step explanation:

Answer:

the answer would be a % because of the divisibility rule

Answer:

73 degrees

Step-by-step explanation:

The total number of all of the angles in a triangle added together should be 180 degrees. You know that one of the angles is 17. The other angle is 90 because it is a right triangle.

90 + 17 = 107

180 - 107 = 73

So, the other angle is 73 degrees. If this is wrong I am so sorry. Hope this helps you, let me know if it is right!

Answer:

73°

Step-by-step explanation:

A right triangle has one right angle and two acute angles.

A right angle is 90° and the question says that one of the angle are 17°.

We need to add both angles together which = 107°.

A triangle internal total angles will always add up to 180°.

So we need to do 180° - 107° to find the missing angle which = 73°.

Also, the question said that the missing angles was acute and 73° is acute.

hope this helps :)

Answer:

x=54.5

Step-by-step explanation:

x+62+x+9=180

2x+71=180

2x+71-71=180-71(subtract 71 from both sides)

2x=109

2x/2=109/2(divide both sides by 2)

x=54.5

Answer:

x=54.5

Step-by-step explanation:

1. Combine like terms

x+62+x+9=180

2x+71=180

You can only combine the x and 62 and 9 in this equation.

2. Subtraction property of equality

2x+71=180

    -71 = -71

2x=109

Subtract 71 from both sides to isolate the variable, x.

3. Division property of equality

2x=109

/2     /2

x=54.5

Hope this helps!

Answer:

The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)

Step-by-step explanation:

Given two points are:

(-2, 5) and (6, -9)

The mid-point is the point that divides a line segment in two equal parts.

Let M be the mid-point then

\(M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

Let

(x1,y1) = (-2, 5)

(x2,y2) = (6, -9)

Putting the values in the formula, we get

\(M(x,y) = (\frac{-2+6}{2}, \frac{5-9}{2})\\M(x,y) = (\frac{4}{2}, \frac{-4}{2})\\= (2,-2)\)

Hence,

The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)

A. REST Services  are designed according to a set of constraints that shape the service architecture to emulate the properties of the World Wide Web, resulting in service implementations that rely on the use of core Web technologies.

REST (Representational State Transfer) services are designed according to a set of constraints that shape the service architecture to emulate the properties of the World Wide Web.

REST services rely on the use of core Web technologies, such as HTTP (Hypertext Transfer Protocol) and URIs (Uniform Resource Identifiers), to provide interoperability and scalability.

They follow a stateless client-server communication model and support various operations (GET, POST, PUT, DELETE) to manipulate resources. REST services are widely used in web development and provide a flexible and scalable approach to building distributed systems.

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Multiplying ampere (amp) by ohm gives units of volt (V).

Therefore, the answer will be in volts (V). This is because ohm is the unit of electrical resistance, ampere is the unit of electrical current, and volt is the unit of electrical potential difference, which is calculated as the product of current and resistance according to Ohm's law: V = I × R.

Ohm is the unit of electrical resistance, which measures how much a material opposes the flow of electric current. One ohm (1 Ω) of resistance is defined as the amount of resistance that allows one ampere (1 A) of current to flow when a potential difference of one volt (1 V) is applied across it.

Ampere is the unit of electrical current, which measures the rate at which electric charge flows through a material. One ampere (1 A) of current is defined as the flow of one coulomb of electric charge per second.

Volt is the unit of electrical potential difference, which measures the amount of energy required to move a unit of electric charge from one point to another. One volt (1 V) of potential difference is defined as the amount of energy required to move one coulomb of electric charge across a circuit element that has one ohm of resistance.

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The degree measure of the angle whose sine is -√3/2 is 300°.

To find the degree measure of the angle whose sine is -√3/2, we can use the inverse sine function (also known as arcsine or sin⁻¹).

The inverse sine function gives us the angle whose sine is a given value. In this case, we are given that the sine of the angle is -√3/2.

By looking at the unit circle or referring to the values of sine for the special angles, we can determine that the sine of 300° is -√3/2.

In a unit circle, the point (x, y) corresponds to the angle in standard position, where x represents the cosine and y represents the sine. For the angle whose sine is -√3/2, we can observe that the y-coordinate is -√3/2.

Additionally, we can use the properties of the 30°-60°-90° triangle. In a 30°-60°-90° triangle, the sides are in the ratio 1 : √3 : 2. The sine of 30° is 1/2, and the sine of 60° is √3/2. Since the sine value is negative, we know that the angle must be in the third or fourth quadrant, where the sine is negative.

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The number of respondents who rated themselves as above average drivers is 755. For the hypothesis test, the population proportion value used is 0.5.

In the given information, it is stated that the number of respondents who rated themselves as above average drivers is 755. Since the question asks for the nearest whole number, we can round this value accordingly. Therefore, the actual number of respondents who rated themselves as above average drivers is 755.

For the hypothesis test, the question does not provide specific information about the population proportion being tested. However, in hypothesis testing, a common assumption is to use a population proportion of 0.5 when no other value is given. The symbol commonly used to represent the population proportion is "p". Therefore, for the hypothesis test, we would assume a population proportion of 0.5 and use the symbol "p" to represent it.

In summary, the actual number of respondents who rated themselves as above average drivers is 755. For the hypothesis test, the value used for the population proportion is 0.5, represented by the symbol "p".

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The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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