help needed. with show work

Answer:

we can not assign a floating-point number to a boolean variable

Step-by-step explanation:

The statement "boolean y = 12.5;" is incorrect or "wrong" because it is attempting to assign a floating-point value (12.5) to a boolean data type, which is a type of data that can only represent two values: true or false.

A boolean data type is a fundamental data type in programming and is commonly used in logic and decision-making structures. It is used to represent conditions that are either true or false, and can be used to control program flow, make decisions, and perform logical operations.

In the statement "boolean y = 12.5;", the value 12.5 is a floating-point value, which is a type of data that represents a decimal number with a fractional component. However, a boolean data type is not capable of representing such values, and can only represent two states: true or false.

In programming, attempting to assign a value of the wrong data type to a variable is known as a "type error" or a "type mismatch." Type errors can cause programs to fail, produce unexpected results, or behave in unintended ways.

To fix the statement "boolean y = 12.5;", the data type of the variable "y" should be changed to a data type that can represent decimal values, such as a floating-point data type like "double" or "float." Alternatively, if the intent of the statement was to assign a boolean value to the variable, the value of 12.5 should be replaced with a boolean expression that evaluates to either true or false.

In summary, the statement "boolean y = 12.5;" is incorrect or "wrong" because it attempts to assign a floating-point value to a boolean data type, which is not a valid data type for the value being assigned. Type errors like this can cause programs to fail, produce unexpected results, or behave in unintended ways, and must be corrected to ensure proper program operation.

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The calculated volume of the model space is 1657.92 cubic inches

From the question, we have the following parameters that can be used in our computation:

The model space made from:

The volume of the model space is calculated as

Volume = Cone + Cylinder + Hemisphere

Using the volume formulas, we have

Volume = 1/3πr²h + πr²h + 2/3πr³

Substitute the known values in the above equation, so, we have the following representation

Volume = 1/3 * 3.14 * 6² * 8 + 3.14 * 6² * 8 + 2/3 * 3.14 * 6³

Evaluate

Volume = 1657.92

Hence, the volume of the model space is 1657.92 cubic inches

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Answer:

180 houses

Step-by-step explanation:

The 3 part of the ratio 10 : 3 represents 30 bungalows, thus

30 ÷ 3 = 10 ← value of 1 part of the ratio

10 parts = 10 × 10 = 100 ← number of flats

The 5 part of the ratio 9 : 5 represents 100 flats, thus

100 ÷ 5 = 20 ← value of 1 part of the ratio, then

9 parts = 9 × 20 = 180 ← number of houses

Answer:  0

Step-by-step explanation:

Add −66 and 66.   0

Answer:

{5, 15, 19}

Step-by-step explanation:

According to the triangle inequality theorem, the sum of the lengths of any two sides of a ∆ must be greater than the length of the third side.

Thus, any of the given sets of numbers will represent the 3 sides of a ∆, if the following condition is satisfied:

a + b > c

b + c > a

a + c > b

Where a and b are the smaller side lengths, and c is the length of the longest side.

Let's check each set of numbers given to see if any satisfies this condition.

✍️Option 1: {6, 20, 28}

6 + 20 is not greater than 28

20 + 28 > 6

6 + 28 > 20

❌This set of numbers does not represent the sides of a ∆.

✍️Option 2: {4, 11, 15}

4 + 11 = 15

11 + 15 > 4

4 + 15 > 11

❌This set of numbers does not represent the sides of a ∆.

Option 3: {9, 19, 30}

9 + 19 is not greater than 30

19 + 30 > 9

9 + 30 > 19

❌This set of numbers does not represent the sides of a ∆

Option 4: {5, 15, 19}

5 + 15 > 19

15 + 19 > 5

5 + 19 > 15

✅This set of numbers does not represent the sides of a ∆

Only option 4, satisfied the condition stated earlier, therefore, based on the triangle inequality theorem, {5, 15, 19}, is the set of numbers that represents the 3 sides of a triangle.

it is a rational number

rational numbers can be expressed as a fraction of two integers with a non-zero denominator

11 2/3 is equivalent to 35/3

Answer:

Step-by-step explanation:

Barbara's cumulative gross earnings for the year up through her last pay date amount to 55000.

As per attached table this amount falls in 4% region ($50001 - $70000).

Her tax per current pay period is:

Correct choice is b)

Answer:

42

Step-by-step explanation:

(10x3) + (2x6)

= 30 + 12

= 42

10x + 2 y = (10.3) +(2.6) = 30+12=42

Our answer is 42

Answer:

First answer: 3

Second answer: 6

Each square you see on the cube you add +1 to get 3

But in total the cube has 6 faces

Answer:

You can see 3 faces

There are 6 faces in a cube

\(~~~~~~ \stackrel{\textit{\Large Anna}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &3 \end{cases} \\\\\\ A=100[1+(0.045)(3)]\implies A=100(1.135)\implies A=113.5 \\\\[-0.35em] ~\dotfill\)

\(~~~~~~ \stackrel{\textit{\Large Matt}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$100\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &3 \end{cases} \\\\\\ A=100[1+(0.03)(3)]\implies A=100(1.09)\implies A=109 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Anna}{113.5} - \stackrel{Matt}{109}\implies 4.5\)

When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares.

The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.

Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.

Hence, When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t

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Answer:

I don't know but a hunch

Step-by-step explanation:

can you add the 2 closets .then the bed and bathroom.Add those up then finally the living room you can get that answer

Answer:

Part A: 6250

Part B: No

Step-by-step explanation:

Part B: When Time is  2 Hours, the cost is $30.

            30x3=90 < 100

         So the unlimited weekly pass is not cheaper

                  (Find the value of y by given x)

Answer:

5230

Step-by-step explanation:

The amount of money in Carson's account after 14 years would be $5231.6

"Compound interest is the interest which is calculated from the original principal plus accumulated interest."

\(A=P(1+\frac{r}{n} )^{nt}\)

where,

A : Final amount

P : Initial amount (principal)

R : interest rate in percentage

r : interest rate (R/100)

n: number of  times the interest is compounded

t :  the overall tenure

For given question,

P = $3900, R = 2.1%, n = 12 (as compounded monthly), t = 14

for R = 2.1%,

\(r=\frac{2.1}{100} \\r=0.021\)

Now, we need to find the value of A.

Using the formula of compound interest,

⇒ \(A=3900 \times (1+\frac{0.021}{12} )^{12\times 14}\)

⇒ \(A=3900\times (1+0.00175)^{168}\)

⇒ \(A=3900\times(1.00175)^{168}\)

⇒ \(A=3900\times 1.3414\)

⇒ \(A=5231.61\)

⇒ \(A\approx \$ 5231.6\)

Hence, there would be $5231.6 in the account after 14 years.

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Work Shown:

Break the figure up as shown by the dashed lines. Think of cutting along those lines to form 3 separate figures. The trapezoid on the left has area

A = h*(b1+b2)/2

A = 5*(11+12)/2

A = 57.5

The rectangle in the middle has area

A = L*W

A = 12*15

A = 180

The trapezoid on the right has area

A = h*(b1+b2)/2

A = 10*(12+9)/2

A = 105

Overall, the entire figure has area of 57.5+180+105 = 342.5 square meters

1 can costs £6 and it covers 15 square meters. We need to cover 342.5 square meters

342.5/15 = 22.8333333333333 approximately

Round up to the nearest whole number to get 23

We need 23 cans to be able to paint 342.5 square meters or more

Note that 22 cans won't be enough because 22*15 = 330 is short of 342.5

While 23 cans is more than enough since 23*15 = 345. It's better to have leftovers than come up short.

Since each can costs £6 and we need 23 of them, the total cost would then come to 6*23 = 138 pounds

Answer:

The figure consists of two trapeziums and a rectangle

Area of figure = Area of rectangle + Area of the two trapeziums

Area of rectangle = length × width

= 12m × 15m = 180m²

Area of first trapezium = 1/2(a+b) × height

= 1/2(12+11)×5

= 57.5m²

Area of second trapezium = 1/2(a+b) × height

= 1/2(9+12)×10

= 105m²

Area of figure = 180 + 57.5 + 105 = 342.5m²

If 15m² = 6£

342.5 = 342.5/15 ×6

= £ 137

Hope this helps.

Answer:

a). 7

b). -17

c). -2

Step-by-step explanation:

You have to substitute the given x value into the equation.

a). f(3)= 3(3)-2

=9-2

=7

The offered statement states that a rectangle's basic shape has a 45-square-foot area.

An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A parallelogram is a polygon with only two dimensions. To be a square, a rectangle's sides must all have the same length, hence not all rectangles are squares.

Area of rectangle = Length (L) * Width (W)

Area of rectangle = \(\sqrt{15*9*5*3}\)

= \(\sqrt{3*5*3*3*5*3}\)

= 3*5*3

= 45

Consequently, the area of a rectangle in its most basic form is 45.

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Answer:     -3

Step-by-step explanation:

The arc length equals 18.85 yd

An arc length is given by L = Ф/360 × 2πr where

To find the arc length of the given circle, given that

So, substituting the values of the variables into the equation, we have that

L = Ф/360 × 2πr

L = 135°/360° × 2π × 8 yd

L = 135°/360° × 16π yd

L = 2160π/360° yd

L = 6785.84 yd/360

L = 18.85 yd

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Answer:

u still on here Delilah?

Step-by-step explanation:

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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The statement is true.

To prove this, we will use a proof by contradiction.

Assume that all of the sets {ai lie i} are finite. Then, for each set ai, there exists a finite number of elements in that set. Therefore, the union of all of these sets will also be finite.

However, we are given that the union of all the sets is countably infinite. This means that there exists a countable list of elements in the union.

Let's construct this list:
- First, list all of the elements in a1.
- Then, list all of the elements in a2 that are not already in the list.
- Continue this process for all of the remaining sets.

Since the union is countably infinite, this process will never terminate and we will always have elements to add to our list.

But this contradicts the fact that each set is finite. If each set has a finite number of elements, then there can only be a finite number of unique elements in the union.

Therefore, our assumption that all of the sets are finite must be false. At least one of the sets must be countably infinite.

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Answer:

15% +40% = 65%. 100%-65% is 35%. This is the percent that is multicolor.

35%*400 is 140. 140 muticolor.

Step-by-step explanation:

Hope this helps :D!

Answer:

20

Step-by-step explanation:

15=75%

15=3/4

3/4÷15=60/3=20

For the first part, the number of license plates is: 65,780,800 and for the second part, the number of license plates with 3 consecutive digits is: 16,524,288.

If there are no restrictions on where the digits and letters are placed, the number of 8-place license plates consisting of 5 letters and 3 digits with no repetitions allowed can be found using the permutation formula:

nPr = n! / (n-r)!

where n is the number of available characters (26 letters and 10 digits) and r is the number of characters needed for the license plate (8).

Therefore, the number of license plates is:

(26 P 5) x (10 P 3) = (26!/21!) x (10!/7!) = 65,780,800

If the 3 digits must be consecutive, there are 8 possible positions for the block of digits (either the first 3, second 3, or last 3). Once the position of the block is chosen, the number of license plates can be found by counting the number of ways to arrange the letters and the block of digits. The number of ways to arrange the letters is 26 P 5, and the number of ways to arrange the block of digits is 10 (since there are only 10 possible sets of consecutive digits).

Therefore, the number of license plates with 3 consecutive digits is:

8 x (26 P 5) x 10 = 16,524,288

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The complete question goes thus:

If there are no restrictions on where the digits and letters are placed, how many 8

-place license plates consisting of 5

letters and 3

digits are possible if no repetitions of letters or digits are allowed? What if the 3

digits must be consecutive?

Answer:

x ≈ 73.3

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos39° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{57}{x}\) ( multiply both sides by x )

x × cos39° = 57 ( divide both sides by cos39° )

x = \(\frac{57}{cos39}\) ≈ 73.3 ( to the nearest tenth )

The  probability that the first Democrat the reporter finds is the 7th person interviewed is approximately 0.006.

Therefore, the correct answer is option (a) 0.006.

To solve this problem, we can use the concept of a geometric distribution. The probability of finding the first Democrat on the 7th person interviewed is equal to the probability of finding six non-Democrats followed by a Democrat.

The probability of randomly selecting a non-Democrat is (1 - 0.60) = 0.40, since 60% are Democrats. Therefore, the probability of selecting six non-Democrats in a row is (0.40)^6.

The probability of selecting a Democrat on the 7th person is 0.60.

Now, we multiply these probabilities together: (0.40)^6 * 0.60 = 0.0064.

Thus, the probability that the first Democrat the reporter finds is the 7th person interviewed is approximately 0.006.

Therefore, the correct answer is option (a) 0.006.

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For the given probability distribution the probability of rolling less than 5 is 2/3.

The given probability distribution is,

Outcome 1 2 3 4 5 6

The probability of rolling less than 5 is to be determined.

The outcomes which are less than 5 are 1, 2, 3, 4.

P(rolling less than 5) = P(rolling 1) + P(rolling 2) + P(rolling 3) + P(rolling 4)

P(rolling less than 5) = (1/9) + (2/9) + (1/9) + (2/9)

P(rolling less than 5) = (6/9)P(rolling less than 5) = (2/3)

Therefore, the probability of rolling less than 5 is 2/3.

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Answer:

a is greater than -2

Step-by-step explanation:

Solving a comparison like this is the same as solving an equation, except you need to watch out for the signs of numbers.

Given:

-2a - 12 < -8

The first thing we need to do here is to add 12 to both sides:

-2a - 12 + 12 < -8 + 12

-2a < 4

You'll notice we're just increasing both sides, so the relationship stays the same.

Now we divide both sides by -2.  Because the number is negative, it changes whether the result is greater or less.

-2a < 4

-2a ÷ -2 > 4 ÷ -2

a > -2

Giving us our final answer.