Find the radius of a cube whose volume is 994 cubic centimeters.

Using work to find the radius

Answer:

her unit rate is 1.67. she needs 225 minutes to read the whole novel

The probability of mistakenly rejecting the restaurant owner's claim if it is true is 14.28% (or 0.1428).

This can be calculated using the binomial distribution formula:

P(X >= 18) = 1 - P(X < 18)

where X is the number of tourists who stay longer than 2 days.

Assuming the restaurant owner's claim is true, the probability of a tourist staying longer than 2 days is 0.15.

Therefore,

P(X < 18) = binomdist(17, 100, 0.15, TRUE) = 0.8572

Substituting into the first equation, we get:

P(X >= 18) = 1 - 0.8572 = 0.1428

So the probability of mistakenly rejecting the restaurant owner's claim if it is true is 14.28%.

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To answer this question, we need to use hypothesis testing.

Null hypothesis (H0): Only 15% of visiting tourists stay for more than 2 days.

Alternative hypothesis (Ha): The percentage of tourists staying for more than 2 days is higher than 15%.

We are given that the chamber of commerce volunteer plans to survey 100 tourists and will speak up if at least 18 of them stay longer than 2 days. This means that our test statistic is the number of tourists who stay longer than 2 days, which follows a binomial distribution with parameters n = 100 and p = the true percentage of tourists who stay longer than 2 days.

To calculate the probability of mistakenly rejecting the null hypothesis if it is true (also known as the type 1 error rate or alpha), we need to assume a significance level. Let's assume a significance level of 0.05 (or 5%).

Using a binomial calculator, we can find the probability of observing at least 18 tourists who stay longer than 2 days under the null hypothesis:

P(X >= 18 | n = 100, p = 0.15) = 0.088

This means that there is an 8.8% chance of mistakenly rejecting the restaurant owner's claim if it is true.

Therefore, the answer is 8.8% or 0.088 (rounded to three decimal places).

The time she has left to match the record is 16.11 seconds. The correct answer would be an option (B).

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

To match Lisa's obstacle course record of 68.2 seconds, Julie needs to complete the course in 68.2 seconds.

We know that she has already spent 39.25 seconds on wall climbing and 12.84 seconds on the ropes.

So, the time she has left to match the record is:

68.2 - (39.25 + 12.84) = 68.2 - 52.09 = 16.11 seconds

In the above step, use the arithmetic operations to solve.

Hence, the answer is 16.11 seconds.

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Answer:

The area is 452cm

Step-by-step explanation:

For the big square we have to multiply 15*18 and that is the area so-

15*18=270

Next we multiply 13 and 14

13*14=182

And now we add 270 and 182 to get the total area

270+182=452

The algebraic solutions are x < -5 and x > 3.

The graph is given below.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x² + 2x > 15

x² + 2x - 15 > 0

x² + (5 - 3)x - 15 > 0

x² + 5x - 3x - 15 > 0

x(x + 5) - 3(x + 5) > 0

(x - 3)(x + 5) > 0

x + 5 > 0 and x - 3 > 0

x < -5 and x > 3

The graph is given below.

Thus,

x < -5 and x > 3 is the solution.

The graph is given below.

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Answer:

0.26666666666

Step-by-step explanation:

it75itdgidgidgditcitgkxlhxfixhljfxglk GMC lh kgxgkgk

Answer:

62,500

Step-by-step explanation:

250,000 ÷ 4 = 62,500

∴ Each member would receive 62,500.

Answer:

hm

Step-by-step explanation:

Answer:

48 portions of salad

Step-by-step explanation:

4 bags spinach = 18 cherry tomatoes = 7.2 lb of chicken

7.2/.75 = 9.6 x 5 = 48

Answer: I believe it is the 1st and 2nd one.

Step-by-step explanation:

Answer:

equilateral acute

Step-by-step explanation:

Answer:

Equilateral Acute Triangle

Step-by-step explanation:

Yes, each of the four sections for books is a rectangle because all four sides of the section are straight lines and the opposite sides are the same length.

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Answer:

See the attached figure.

Step-by-step explanation:

There are some tips for connecting the histogram with the mean and median.

1) If the histogram is skewed right, the mean is greater than the median.

2) If the histogram is close to symmetric, then the mean and median are close to each other.

3) If the histogram is skewed left, the mean is less than the median.

So, according to the given information the median = 29.5 and the mean is closest to 29.5.

∴ The histogram is close to symmetric.

so, The set of data that most likely has a mean that is closest to 29.5 is as shown in the attached figure.

Answer:

Step-by-step explanation:

Answer:1 1/12

Step-by-step explanation: 3/4+1/3=13/12=1 1/12

The derivative of the function is defined as the limit of the rate of change of a function as its independent variable approaches zero. Applying the limit on this equation, we get; f'(x) = 40x^4. Therefore, the derivative of the given function is f'(x) = 40x^4.

Therefore, the derivative of the given function is;\(f'(x)=\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}\)\(

f'(x)=\lim_{h \to 0} \frac{8(x+h)^5 - 8x^5}{h}\)\(

f'(x)=\lim_{h \to 0} \frac{8(x^5+5x^4h+10x^3h^2+10x^2h^3+5xh^4+h^5) - 8x^5}{h}\)Using (x+n)5 =x5+5x4h+10x3h2+10x2n3+5xh4+h5,\(

f'(x)=\lim_{h \to 0} \frac{8x^5+40x^4h+80x^3h^2+80x^2h^3+40xh^4+8h^5 - 8x^5}{h}\)

All the x^5 terms get eliminated.

Hence, we are left with;\(f'(x)=\lim_{h \to 0} 40x^4+80x^3h+80x^2h^2+40xh^3+8h^4\)

Applying the limit, h becomes 0 in the last step.

Hence, the limit of the function becomes;\(f'(x)=40x^4\)

The derivative of the function is defined as the limit of the rate of change of a function as its independent variable approaches zero. This can be mathematically represented as;f'(x) = lim h

→0[f(x+h)-f(x)]/h

In this problem, the function f(x) = 8x^5, and we have to find the derivative of this function by using the definition of the derivative. The formula for finding the derivative is;f'(x) = lim h

→0[f(x+h)-f(x)]/h=lim h

→0[(8(x+h)^5 - 8x^5)]/h Applying the limit on this equation, we get;f'(x) = 40x^4Therefore, the derivative of the given function is f'(x) = 40x^4.

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Answer:

D - x^2 + 9x +14

Step-by-step explanation:

I typed it into a problem solving website

Answer:

It was a cylinder shape

volume of cylinder is

= \pi {r}^{2} h

Radius of the can

=6.6÷2

=3.3

Volume of 6 can

6(3.142 \times  {3.3}^{2}  \times 12.1) \\ =  6(3.142 \times 10.89 \times 12.1) \\ =  6(34.21638 \times 12.1) \\  = 6(414.018198) \\ = 2484.109188 \\   = 2484.11 \: (2d.p.)

Answer

2484.11

Step-by-step explanation:

The matrix A has only one distinct eigenvalue, which is 0.

The matrix A has only one distinct eigenvalue, which is 0. This eigenvalue has a multiplicity of 1, indicating that it appears only once.

The associated eigenspace dimension is also 1, suggesting that there is only one linearly independent eigenvector corresponding to the eigenvalue 0.

Whether the matrix A is diagonalizable, we need to check if the eigenspace of each eigenvalue spans the entire vector space.

Since the eigenspace dimension for the eigenvalue 0 is 1, which is less than the size of the matrix, A cannot be diagonalizable. Diagonalizability requires having as many linearly independent eigenvectors as the size of the matrix, corresponding to distinct eigenvalues.

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The summary address for the given subnets is 172.16.96.0 /31.

To calculate the summary address for the given subnets, we need to find the common prefix among them. Let's break down the process step by step:

1. Convert the IP addresses to binary form:

  - 172.16.97.0 /24 => 10101100.00010000.01100001.00000000

  - 172.16.98.0 /24 => 10101100.00010000.01100010.00000000

2. Compare the binary forms bit by bit:

  - The first octet (10101100) is the same for both IP addresses.

  - The second octet (00010000) is the same for both IP addresses.

  - The third octet (01100001 and 01100010) differs only in the last bit.

  - The fourth octet (00000000) is the same for both IP addresses.

3. Determine the common prefix length:

  - The first two octets (16 bits) are the same for both IP addresses.

  - The third octet differs in the last bit, so the common prefix length in the third octet is 7 bits.

  - The fourth octet (8 bits) is the same for both IP addresses.

4. Combine the common prefix and calculate the summary address:

  - The common prefix is 16 + 7 + 8 = 31 bits.

  - Convert the binary form of the common prefix back to decimal form: 10101100.00010000.01100001.00000000

  - The summary address is 172.16.96.0 /31.

Therefore, the summary address for the given subnets is 172.16.96.0 /31.

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The length of the diagonal of the square is \(4\sqrt{2}\) units. Additionally, the area of the square is \(16\) square units.

The confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.

A trait that cannot be quantified is referred to as a categorical variable (also known as a qualitative variable).

Nominal or ordinal categorical variables are also acceptable.

Since the variable of interest is a person's opinion, which is a qualitative variable, the confidence interval for a proportion should be built.

Statistical Variables Qualitative variables also referred to as categorical variables are variables without a built-in sense of hierarchy.

As a result, they are quantified using a nominal scale.

For instance, a qualitative variable is a name as well as hair color (Black, Brown, Gray, Red, Yellow).

Therefore, the confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.

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The domain of the equation \(y = \sqrt[4]{3 -x}\) is (-∝, 3]

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

\(y = \sqrt[4]{3 -x}\)

The above equation is a root function

The rule of this type of function is that

For the domain, we set the radicand greater than or equal to 0

So, we have

3 - x ≥ 0

Evaluate

3 ≥ x

In interval notation, we have

Domain = (-∝, 3]

So, the domain is (b) (-∝, 3]

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The only number that is 10 times as much as 72 is 720.

To find the numbers that are 10 times as much as 72 or 1/10 of 72, we can perform the following calculations:

10 times 72 = 720

1/10 of 72 = 7.2

So, the numbers that are 10 times as much as 72 are 720.

The number 67 is not 10 times as much as 72 or 1/10 of 72. Therefore, it is not one of the numbers we are looking for.

On the other hand, 1/10 of 72 is 7.2, which is not one of the numbers we are looking for either.

Therefore, the only number that is 10 times as much as 72 is 720.

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complete question

Select all the numbers that are 10 times as much as 72, 67, or 1/10 of 72.

- 67

-46

-720

-480

Answer:

5 to 3

Step-by-step explanation:

15/3=5

6/3=3

Answer:

5:2

Step-by-step explanation:

15:6 can both be divided by 3, 15/3 = 5, 6/3 = 2, making the ratio,

5:2 hope i helped you (and could i have brainliest it would help me!)

Answer:

Your other answers all look good - I think the word in the blank is producer, which means an organism that makes its own food. Green plants do so through photosynthesis.

Answer:

producer

Step-by-step explanation:

Because it makes sense

Answer:

3rd number is 6

Step-by-step explanation:

The required third number be 3 other two of the numbers are 2 and 5 when the Lowest Common Multiple (LCM) of three numbers is 30 .

What is least common multiple?

The least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm, is the smallest positive integer that is divisible by both a and b.

Given:

The Lowest Common Multiple (LCM) of three numbers is 30.

Two of the numbers are 2 and 5.

According to given question we have

The Lowest Common Multiple (LCM)  of

30=2×3*5

Two of the numbers are 2 and 5

So, the third number be 3.

The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple ( LCM ) and Least Common Divisor ( LCD) . For two integers a and b, denoted LCM (a, b), the LCM is the smallest positive integer that is evenly divisible by both a and b.

Therefore, the required third number be 3 other two of the numbers are 2 and 5 when the Lowest Common Multiple (LCM) of three numbers is 30 .

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Answer:

The answer is 48

Step-by-step explanation:

Have a nice day

Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

According to the question we have been given that,

Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours

First we will convert it into simple fraction which is

         \(16\frac{3}{4} = \frac{67}{4} \\\) hours

Number of consulting projects = 3

And Matilda spends same amount of time to each of the project.

To find the time she spend on each project is by using unitary method

that is,            3 projects = \(\frac{67}{4}\) hours

                      1 project = \(\frac{67}{4} / 3\)

                                     = 67/12

                                     = \(5\frac{7}{12}\) hours

Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

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Part a:  10z > 25,670; infinite integer.

Part b: Range =  2550 to 2649.

Part a:  10z > 25,670

Divide the inequality on both sides by 10.

z >  2,567

Thus, there are infinite number which are greater than 2567.

Part b:  z rounded to the nearest hundred is 2,600.

Range =  2550 to 2649.

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