Among these figures, figure and figure have the same volume.

Chelsea made a mistake in simplifying the equation 3(x-3). To find the solution to 4x-5=2(3(x-3)), we first simplify the expression inside the parentheses.

Now, to isolate the variable x, we need to move the terms with x to one side of the equation. Let's subtract 4x from both sides, which gives us -5-4x=6x-18-4x. Simplifying this, we get -5-4x=2x-18.

Next, let's move the constant terms to the other side. Adding 18 to both sides, we get -5-4x+18=2x-18+18. Simplifying this, we get -4x+13=2x.

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Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.

Chelsea made a mistake in her work when finding the solution to the equation 4x - 5 = 2 3(x - 3). To determine where she went wrong, let's analyze her steps.

Step 1: Distribute 3 to (x - 3): 4x - 5 = 2 3x - 6.
Step 2: Combine like terms: 4x - 5 = 6x - 12.
Step 3: Move the variables to one side and the constants to the other side. Chelsea may have mistakenly subtracted 4x from both sides instead of 6x. This would result in: -5 = 2x - 12.
Step 4: Solve for x. Chelsea may have then incorrectly added 12 to both sides instead of adding 5, leading to: 7 = 2x.
Step 5: Divide both sides by 2: x = 7/2.

Upon reviewing her work, Chelsea should have subtracted 6x from both sides in Step 3, not 4x. This would have resulted in the equation 2x - 5 = -12. Correctly following the steps would lead to the correct solution: x = -7.

Therefore, Chelsea made a mistake when subtracting the variable term from both sides. By identifying this error and correctly following the steps, we find that the solution to the equation 4x - 5 = 2 3(x - 3) is x = -7.

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Answer: C (324)

Step-by-step explanation:

He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.

Answer:

C. 324 thats the answer my cousin solved this

Answer:

8/15 of an hour

Step-by-step explanation:

Add the fractions together

1/3 + 1/5

Get a common denominator

1/3 *5/5 = 5/15

1/5 *3/3 = 3/15

Add together

5/15 + 3/15 = 8/15

Answer:

8/15

Step-by-step explanation:

1/3 x 5 = 5/15

1/5 x 3 = 3/15

5/15 + 3/15 = 8/15

Step-by-step explanation:

f(x) = —x^2 – 3x

f(10)={-10}²-3×10=100-30=70

Answer:

f(10) = 70

Step-by-step explanation:

In this question, plug in "10" to "x" and solve.

Solve:

f(10) = -(10)^2 - 3(10)

f(10) = 100 - 3(10)

f(10) = 100 - 30

f(10) = 70

Your final answer would be f(10) = 70

The amount of time at each of the two speeds are 5 hours at 59mph and 3 hours at 53mph

Time: Time is change, or the interval over which change occurs. It is impossible to know that time has passed unless something changes. The amount of time or change is calibrated by comparison with a standard. The SI unit for time is the second, abbreviated s

on the first part of a 454-mile trip, a salesperson averaged 59 miles per hour.

the salesperson averaged only 53 miles per hour on the last part of the trip because of an increased volume of traffic.

the total time of the trip was 8 hours.

let time travel t=59

(8-t)=53

distance=speed*time

distance at 59+distance at 53 =454

59t+53(8-t)=454

59t+424-53t=454

6t=30

t=5 hours at 59 mph

and 8-5=3 hours at 53 mph

The amount of time at each of the two speeds are 5 hours at 59mph and 3 hours at 53mph

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Answer:

You should measure at the Hundredth of a gram.

Step-by-step explanation:

Example: The Mass of a Copper Penny is 3.15 grams. Notice the decimal is after the 3.

Hope this helped!

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

(a) To find the mean and standard deviation of the average number of moths in 60 traps, we can use the properties of the normal distribution and the central limit theorem.

The mean of the average number of moths in 60 traps is equal to the mean of the individual moth counts, which is 0.5.

The standard deviation of the average number of moths in 60 traps is equal to the standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = 0.7 / sqrt(60) = 0.0905

the mean and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905, respectively.

(b) To use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4, we need to standardize the distribution of sample means using the Z-score formula:

Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60)) = -1.94

Using a standard normal table or a calculator with a normal distribution function, we can find that the probability of getting a Z-score greater than -1.94 is approximately 0.9738.

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

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If Alice tests positive and the experts are right on the population prevalence, the probability that Alice has the disease is 0.489.

In the given question, a new disease has been observed, and experts believe that 1% of the population have it.

A test is developed that has 95% true positive rate and 1% false positive rate.

From the given data,

Let E be the event that a patient has a disease and F be the event that a patient has tested positive.

Then according to Bayes' theorem we have,

P(E/F) = P(E)P(E/F)}/(P(E)P(E/F)+P(E')P(F/E')

P(E/F) = (1*95)/(1*95)*(99*1)

P(E/F) = 95/194

P(E/F) = 0.489 (approx.)

Hence, the probability that Alice has the disease 0.489.

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Using the vertical line test, the graph that represents a function is: Graph C.

A simple test we can carry out quickly to determine if a graph represents a function is the vertical line test.

Using the vertical line test, a vertical line is drawn across the curve in the given plane. If the vertical line intersect the curve more than once, it is not a function, but if it intersects the curve at just exactly one point, then the graph represents a function.

If we draw a vertical line across each of the given graphs, only the graph in option C will be intersected at exactly only one point.

Therefore, graph C represents a function.

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Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

-3/2, -1, 2/3, .75

Step-by-step explanation:

Answer:

Step-by-step explanation:

If Kyle can get 5/8 of a shed built in x amount of time, he can get 62.5% done; if Jack can get 1/5 of the shed built in the same time, he can 20% of it done. As a ratio:

\(\frac{Kyle}{Jack}:\frac{62.5}{20}\)  Kyle gets the whole thing done, 100% of the way, leaving Jack lagging behind at a somewhat lower percentage of the work being done.

\(\frac{Kyle}{Jack}:\frac{62.5}{20}=\frac{100}{x}\) and cross multiply to solve for the percentage of the shed built by Jack by the time Kyle gets it completed:

62.5x = 2000 so

x = 32%

When Kyle will complete the work the amount of the work done by Jack will be 32%.

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

If Kyle can get 5/8 of a shed built in x amount of time, he can get 62.5% done; if Jack can get 1/5 of the shed built in the same time, he can 20% of it done. As a ratio:

Jack falls behind Kyle, completing only a small portion of the work, while Kyle completes the entire task and cross multiplies to solve for the percentage of the shed built by Jack by the time Kyle gets it completed:

Kyle / Jack ÷ 62.5 / 20 = 100 / x

62.5x = 2000 so

x = 32%

Therefore, when Kyle will complete the work the amount of the work done by Jack will be 32%.

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Answer:

it is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Once you simplify the equation, you get 40-64+24. When you use 40+24, you get 64 which cancles out the other 64

Answer:

B = $5.15

Step-by-step explanation:

One way to solve this is by adding the whole numbers first, which gives you $4, and then adding the rest of the number, which is the decimal points, which gives you $1.15, then you add those two together, which gives you your answer of $5.15.

Answer:

B $5.15

Step-by-step explanation:

Add.

$2.35 + $1.15 + $1.65 = $5.15

Hope this helped!

The required explanation of null hypothesis and alternate hypothesis for given question is below.

Hypothesis testing is a type of measurable derivation that utilizes information from an example to make inferences about a populace boundary or a populace likelihood circulation. Initial, a speculative supposition that is made about the boundary or dissemination.

Connection is a factual measure that communicates the degree to which two factors are directly related (meaning they change together at a consistent rate).

It's a typical device for portraying basic connections without saying something about circumstances and logical results.

As indicated by the inquiry,

A gathering of researcher haphazardly chose 20 Piknits from the ocean bottom and estimated their particular loads in grams.

Likewise, They were curious as to whether the weight of the Piknits can be utilized to foresee the quantity of Gogles.

From the given data,

Null hypothesis : H0 : There is no direct connection between the heaviness of piknits and the quantity of gogles

Alternative hypothesis : Ha: There is a direct connection between the heaviness of piknits and the quantity of gogles

Choice 4 is right about Null hypothesis and Alternative hypothesis.

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Answer:

C. Biased, because she only asked students on honor roll.

Step-by-step explanation:

Since Mrs. Gilbert's goal was to find how many students that spent >4 hours and not how many students that earned Honor Roll that spent >4 hours, the data is biased. Choose C.

x = 6

Step 1: Simplify both sides of the equation.

5045x + 3000 = 5545x

Step 2: Subtract 5545x from both sides.

5045x + 3000 − 5545x = 5545x − 5545x

−500x + 3000 = 0

Step 3: Subtract 3000 from both sides.

−500x + 3000 − 3000 = 0 − 3000

−500x=−3000

Step 4: Divide both sides by -500.

−500x/−500 = −3000/−500

Answer: x=6

Answer:

I already said b in the comment area so I'm just putting it here now

Step-by-step explanation:

(B) The value of the correlation coefficient will move closer to 0.

Therefore, the correct option is (B) The value of the correlation coefficient will move closer to 0.

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Answer:

√64 = rational

Step-by-step explanation:

√64 = 8

8 = 8/1 = rational

Answer: The number 64 is an irrational number.

Step-by-step explanation:

Answer:

I hope I got it correct

Step-by-step explanation:

There are 12 different possibilities for a president. Therefore, there are 11 possibilities for vice-president.

We calculate this combination when we multiply 12 x 11:

12 x 11 = 132

Therefore, there are 132 different ways to make combinations.

Answer:

Step-by-step explanation:

Using provided formula and filling in the variables:

z = \(\frac{(0.6-0.7)-(0)}{\sqrt{\frac{0.615782*0.384218}{88}+\frac{0.615782*0.384218}{82} }}\)

Filling in in calculator:

z ≈ -1.34

Answer:

1- GIK

2- DG

3- obtuse

4- complement 160° , supplement 70°

Step-by-step explanation:

question 1 : GIK are Collinear point cause they are on the same line

question 2 : DG is the parallel segment to CF cause the segment CD is parallel to the segment FG

question 3 : the angle A is obtuse cause it's 93° the obtuse angle is between 90° and 180°

question 4 : the complement is the add of 2 angle that equal 180°

the supplement is the add of 2 angle that equal 90°

complement 160° + 20° = 180°

supplement 70°+ 20° = 90°

The correct answer is option D.which is -4 ≤ x ≤ 1.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

in the graph, we can see that the value of x is increasing from -4 coordinate of x to the 1 coordinate of x so the interval will be given as -4 ≤ x ≤ 1.

Therefore the correct answer is option D.which is -4 ≤ x ≤ 1.

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Answer: a. (x-8)(x-4)

b. (x-8)(x-6)

c. (x-2)(x-1)

Step-by-step explanation:

a. x^2-12x+32=

x^2-4x-8x+32=

x(x-4)-8(x-4)=(x-8)(x-4)

b. x^2-14x+48=

x^2-6x-8x+48=

x(x-6)-8(x-6)=(x-8)(x-6)

c. x^2-3x+2=

x^2-x-2x+2=

x(x-1)-2(x-1)=(x-2)(x-1)

Answer:

2 1/2 ounces

Step-by-step explanation:

If each coin is 5/6 ounces and she picks up 3, we must multiply the two numbers

5/6 × 3

3 can also be written as 3/1

5/6 × 3/1

multiply the numerators and denominators separately

5 × 3/6 × 1

15/6

Both 15 and 6 have a common factor of 3 so divide both numbers by 3

15 ÷ 3/6 ÷ 3

5/2

This is simplest form in terms of improper fractions

If you want it as a whole number it would be:

2 1/2

This is because 2 goes into 5 twice evenly (whole number) with one remaining (numerator; denominator stays the same)

Hello

Answer:

2.5 ounce

Step-by-step explanation:

Weight of each coin=5/6 ounce

Weight of 3 such coins= 3*5/6

                                     = 2.5 ounces

Hope its in the simplest form....

Answer:

x = 17

Step-by-step explanation:

x ^2 = 8^2+ 15^2

√x^2 =√64+225

x=17

Answer:

17cm.

Step-by-step explaination:

The given triangle is a right angled triangle.

Using Pythagorean Theorem,

a² + b² = c²

Putting the given values in the equation;

(15)² + (8)² = c²

225 + 64 = c²

289 = c²

17² = c² (square root of 289 = 17)

17 = c

c = 17

Therefore, the missing side of the triangle is equal to 17 cm.

If im not mistaken and the correct answer is 4(x)+4(2)

Answer:

4(x)+4(2)

Step-by-step explanation:

in the term 4(x+2) the four is distributed to the x and the 2 making two seperate terms of 4 times x and then 4 times 2

You may need to input the number only without the "degrees".

=============================================================

Explanation:

First we'll focus on triangle DEH. Ignore the other points and values.

We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.

cos(angle) = adjacent/hypotenuse

cos(H) = EH/DH

cos(x) = 32/49

x = arccos(32/49)

x = 49.227195

The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.

We'll come back to this value later.

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

Now focus on triangle HFG. Ignore the other points.

We have the sides of FG = 38 and GH = 43

Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.

To find y, we'll need the sine rule this time

sin(angle) = opposite/hypotenuse

sin(H) = FG/GH

sin(y) = 38/43

y = arcsin(38/43)

y = 62.094527 which is approximate to 6 decimal places

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

The last step is to add the values of x and y we found earlier

angle DHG = (angle DHE) + (angle FHG)

angle DHG = (x) + (y)

angle DHG = (49.227195) + (62.094527)

angle DHG = 111.321722

angle DHG = 111 degrees after rounding to the nearest whole degree.

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

If you wanted to do this all in one step, you could say:

arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.

r = annual interest rate

F = final value (amount owed including interest)

P = principal (initial amount borrowed)

n = number of years the loan is taken out for

Plugging in the given values:

r = (1300 - 1200) / 1200 * 2

r = 0.15 or 15%

This formula also gives the same result, that the annual simple interest rate on Zhen's loan is 15%.