PLZ HELP I HAVE NO CLUE WHAT TO DO

ANSWER:

The surface area of the figure is 574 in^2

STEP-BY-STEP EXPLANATION:

We have that the surface area of a rectangular prism is given by the following formula

replacing:

a) the probability that a randomly selected Cobalt gets more than 34 MPG is approximately 0.7149.

b) the probability that the mean MPG exceeds 34 MPG for a sample of 10 Cobalts is approximately 0.035.

c) the probability that the mean MPG exceeds 34 MPG for a sample of 20 Cobalts is approximately 0.005.

a) To find the probability that a randomly selected Cobalt gets more than 34 MPG, we need to calculate the area under the normal distribution curve to the right of 34 MPG.

Using the z-score formula, we can convert the MPG value to a standard score (z-score) using the formula:

z = (x - μ) / σ,

where x is the given value (34 MPG), μ is the mean (32 MPG), and σ is the standard deviation (3.5 MPG).

Calculating the z-score:

z = (34 - 32) / 3.5 = 0.57

Using a standard normal distribution table or a statistical calculator, we can find the area to the right of the z-score 0.57.

Let's assume the standard normal distribution table gives us a value of 0.2851 for z = 0.57.

Since the total area under the normal curve is 1, the probability of getting more than 34 MPG is:

P(X > 34) = 1 - P(X ≤ 34) = 1 - 0.2851 = 0.7149

Therefore, the probability that a randomly selected Cobalt gets more than 34 MPG is approximately 0.7149.

b) When selecting a sample of 10 Cobalts, the mean MPG of the sample (\(\bar{X}\)) follows a normal distribution with the same mean (32 MPG) and a standard deviation (σ) equal to the population standard deviation (3.5 MPG) divided by the square root of the sample size (√10).

σ( \(\bar{X}\) ) = σ / √n = 3.5 / √10 ≈ 1.107

We want to find the probability that the mean MPG exceeds 34 MPG for the sample of 10 Cobalts. In other words, we need to find P(\(\bar{X}\) > 34).

We can again convert the value of 34 MPG to a z-score:

z = (34 - 32) / 1.107 ≈ 1.805

Using a standard normal distribution table or a statistical calculator, we find the area to the right of the z-score 1.805.

Let's assume the standard normal distribution table gives us a value of 0.035 for z = 1.805.

Therefore, the probability that the mean MPG exceeds 34 MPG for a sample of 10 Cobalts is approximately 0.035.

c) When selecting a sample of 20 Cobalts, the mean MPG of the sample (\(\bar{X}\)) follows a normal distribution with the same mean (32 MPG) and a standard deviation (σ) equal to the population standard deviation (3.5 MPG) divided by the square root of the sample size (√20).

σ( \(\bar{X}\) ) = σ / √n = 3.5 / √20 ≈ 0.78

We want to find the probability that the mean MPG exceeds 34 MPG for the sample of 20 Cobalts. In other words, we need to find P(\(\bar{X}\) > 34).

Similarly, we can convert the value of 34 MPG to a z-score:

z = (34 - 32) / 0.78 ≈ 2.564

Using a standard normal distribution table or a statistical calculator, we find the area to the right of the z-score 2.564.

Assuming the standard normal distribution table gives us a value of 0.005 for z = 2.564.

Therefore, the probability that the mean MPG exceeds 34 MPG for a sample of 20 Cobalts is approximately 0.005.

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Answer: Tre wants to mow 20 lawns in 5 days, so he needs to mow 20/5=<<20/5=4>>4 lawns per day.

If Tre can mow 3 lawns in 2 hours, then he can mow 1 lawn in 2/3=<<2/3=0.67>>0.67 hours.

This means Tre will have to work 4/0.67=<<4/0.67=6>>6 hours each day to mow all 20 lawns. Answer: \boxed{6}.

Step-by-step explanation:

Answer:

109

Step-by-step explanation:

Three consecutive integers:

Sum of them:

The smallest integer out of three is 109

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3 consecutive integers = x+(x+1)+(x+2) or 3x+3 (x is the smallest number)

(Consecutive means one after another)

So 3x+3 = 330.

Now subtract 3 from both sides.

(3x-3)=3x

(330-3)=327

The left side is 3x and the right side is 327.

The equation now is 3x=327.

Now divide each side by 3 (so x is isolated)

3x÷3=x

327÷3=109

The left side is x and the right side is 109.

The final equation is x=109.

Since x is the smallest of these integers we don't have to do anything else.

Okay, so let's check the answer now. 109+110+111=330.

So the smallest of the 3 consecutive numbers is 109.

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A bin of 50 parts contains 5 that are defective and a sample of 10 parts is selected without replacement, then total 40,753,713 samples contain at least 4 defective parts.

A bin of 50 parts contains 5 that are defective.

A sample of 10 parts is selected without replacement.

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = Samples with precisely 4 defectives + samples with precisely 5 defects

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = \(^{5}C_{4}\cdot ^{45}C_{6}+ ^{5}C_{5}\cdot^{45}C_{5}\)

Using the formula \(^nC_{r} = \frac{n!}{r!(n-r)!}\)

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = \(\frac{5!}{4!(5-4)!}\cdot\frac{45!}{6!(45-6)!}+\frac{5!}{5!(5-5)!}\cdot\frac{45!}{5!(45-5)!}\)

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = \(\frac{5!}{4!1!}\cdot\frac{45!}{6!39!}+\frac{5!}{5!0!}\cdot\frac{45!}{5!40!}\)

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = \(\frac{5\times4!}{4!\times1}\cdot\frac{45\times44\times43\times42\times41\times40\times39!}{6\times5\times4\times3\times2\times1\times39!}+1\cdot\frac{45\times44\times43\times42\times41\times40!}{5\times4\times3\times2\times1\times40!}\)

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = 5 × 15 × 44 × 43 × 7 × 41 + 1 × 9 × 11 × 7 × 41

Number of samples of size 10 from 50 pieces, at least 4 of which are faulty = 40,753,713

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Answer:

a) 16 meters ; b) 8 seconds

Step-by-step explanation:

The function can be represent with a parabola whose vertex is its maximum point

for answer the first question we have to find the y of the vertex

first of all we have to find the x

Vertex (x) = -b/2a = -8/-2 = 4

if we substitute t with 4, we can find the y

Vertex (y) = -(4^2) + (8*4) =

= -16 + 32 = 16

so the answer is 16 meters

for answer the second question we have to find where the parabola intercepts the x axis, that means solve the associated equation:

-t^2 + 8t = 0

t^2-8t = 0

t(t-8) = 0

t = 0

t = 8

the parabola intercept the x axis in (0,0) and in (8,0)

if we find the distance between this two points we can answer to the question

8-0 = 8 seconds

Answer:

y are you ga

Step-by-step explanation:

Answer:

find the volume of cone and then form the following equation

volume of cone=1/3 x base area x height

volume of cuboid= base area x height

The volume of water will be equal in both therefore u can easily form an equation.

1/3Xπ3²X10= 5X3Xh

then solve for h

Answer:

the answer is 6.

g+6>75

The number of people who waited at least 6 minutes is given as follows:

50 people.

The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.

The desired outcomes for this problem are given as follows:

Hence the number of people who waited at least 6 minutes is given as follows:

20 + 15 + 10 + 5 = 50 people.

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Answer:

Step-by-step explanation:

The null and alternative hypotheses are:

Null hypothesis: The population mean of student course evaluations is equal to 4.25.

Alternative hypothesis: The population mean of student course evaluations is not equal to 4.25.

The significance level is 0.01, so the test will be a two-tailed test.

The test statistic is calculated as:

t = (x - μ) / (s / √n) = (4.18 - 4.25) / (0.54 / √97) = -2.63

The degrees of freedom for the t-distribution is n-1 = 96. Using a t-table or a calculator, the P-value for a two-tailed test with 96 degrees of freedom and a t-value of -2.63 is approximately 0.010.

Since the P-value (0.010) is less than the significance level (0.01), we reject the null hypothesis. We have sufficient evidence to conclude that the population mean of student course evaluations is not equal to 4.25.

In other words, the data provides strong evidence to suggest that the average student course evaluation rating is significantly lower than 4.25.

Answer:

A=30

Step-by-step explanation:

Answer:162 please mark brainliest

Step-by-step explanation:2x3=6, 6x3=18, 18x3=54 so 54x3=162

w ≤ 250

This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, the weight, w, must be less than or equal to 250 pounds.

The weight, w, must be less than or equal to 250 pounds. This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, if the weight of the object being placed on the stepladder is greater than 250 pounds, it is not safe to use the stepladder. This inequality helps to ensure the safety of the person using the stepladder, as it limits the amount of weight that can be placed upon it. Furthermore, it also helps to protect the stepladder itself, as it prevents it from being overloaded with too much weight, which could cause it to break or malfunction. In conclusion, the inequality w ≤ 250 represents the maximum weight that a stepladder can safely hold.

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The value of the given line integral is 8π√37. Hence, the correct option is (d) 8π√37.

The line integral of the given space curve can be evaluated as follows:

Given, the curve C is

x² + y² + z = 4.

Therefore, the equation of the curve in terms of x and y is

z = 4 - x² - y².

Let f (x, y, z) = x² + y² + z.

Hence, f (x, y, z) = x² + y² + (4 - x² - y²) = 4.

The line integral,

∫(x² + y² + z) ds, C:

x = t,

y = cos(6t),

z = sin(6t).....(1)

By formula, the line integral,

∫f (r(t)) |r'(t)| dt, a ≤ t ≤ b,

where

r(t) = (x(t), y(t), z(t))

is the parameterization of the curve and a and b are the limits of integration.

By using the given limits, the parameterization of the curve can be written as

r(t) = (t, cos(6t), sin(6t)), 0 ≤ t ≤ 2π.

Here,

x(t) = t, y(t) = cos(6t), and z(t) = sin(6t).

Therefore,

r'(t) = (1, -6 sin(6t), 6 cos(6t)).

Now,

|r'(t)| = √(1 + 36 sin²(6t) + 36 cos²(6t)) = √37.

Using the values of r(t) and |r'(t)|, the given line integral,

∫(x² + y² + z) ds can be evaluated as

∫(x² + y² + z) ds

= ∫f(r(t)) |r'(t)| dt

from a = 0 to b

= 2π∫(x² + y² + z) ds

= ∫04√37 dt

= 4√37 ∫0²πdt

= 8π√37.

The required line integral is 8π√37. Hence, the correct option is (d) 8π√37.

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Answer:

x = 3/4 n

Step-by-step explanation:

-3(x+n)=x

Distribute

-3x-3n = x

Add 3x to each side

-3x-3n+3x= x+3x

3n = 4x

Divide by 4

3/4n = 3x/3

3/4 n = x

Answer:

14x+1

Step-by-step explanation:

you combined like terms

8x and 6x are like terms so 8x+6x=14x

8 and (-7) are like terms so 8+(-7)=1

Answer: 14x+1

Step-by-step explanation:

Answer: The unit rate is 3 centerpieces per hour

Step-by-step explanation:

18centterpieces/6hrs =3

Answer:

12

..... ....... ......

Answer:

9 cm²

Step-by-step explanation:

the area = ½× 3√2 × 3√2 = ½×18 = 9

The amount of saving in pounds is £7.00 and in percentage is 29.167%

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Cost of 500mm×500mm×0.7mm = £6.00

No. of sheets that can be cut will be = \(\frac{1000 * 1000 * 0.7}{500 *500 *0.7}\)

                                                             = 4 sheets

Cost of 1 sheet of 1000mm x 1,000 mm x 0.7 mm = £17.00

Cost of 4 sheets of 500 mm x 500 mm x 0.7 mm = £6.00 × £4.00

                                                                                 = £ 24.00

Hence saving = £ 24.00 - £17.00

                       = £ 7.00

Hence percentage of savings = 7/24 × 100

                                                  = 175/6

                                                  = 29.167%

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We are given the function, \(\underline{f(x)=x^3-9x^2+20x-12}\), and are asked to find the x and y intercepts of the function.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

What is an intercept?

An intercept is where the graph of a function cross either the x or y axis. The x-intercept(s) crosses the x-axis and the y-intercept(s) crosses the y-axis.

How do find the x-intercept(s)?

To find the x-intercepts let y in your function equal zero, then solve for x.

How do find the y-intercept(s)?

To find the y-intercepts let x in your function equal zero, then solve for y.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Refer to the attached image for the rest.

Answer:

x = 12

Step-by-step explanation:

y= -4x+48

0=-4x+48

4x=48

x=12

Answer:

Number is 10

Step-by-step explanation:

10 divided by 2 is 5 divided by 1 is also 5

Eulerian path can be implemented in linear time because it follows a specific rule: a connected graph can have an Eulerian path if and only if it has either zero or two vertices of odd degree.

This means that the algorithm can quickly determine whether or not a graph has an Eulerian path by simply counting the number of odd degree vertices. This can be done in linear time, making the implementation of Eulerian path efficient and fast.

On the other hand, Hamiltonian path does not follow a specific rule, and there is no known efficient algorithm to determine whether or not a graph has a Hamiltonian path.

This means that the implementation of Hamiltonian path requires checking all possible paths in the graph, which can take a long time and is not efficient. Therefore, Hamiltonian path cannot be implemented in linear time like Eulerian path can.

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Answer:

y=1/2x+3

Step-by-step explanation:

Rise/run+yintercept

To calculate the rate of return for the extra investment, we need more information such as the cash inflows from the extractor and the alternate equipment. Without this information, it is not possible to determine the rate of return.

To calculate the rate of return, we would need the cash inflows generated by both the existing extractor and the alternate equipment. Cash inflows could come from the sale of vegetable oil or any other revenue generated by using the equipment. Without these values, we cannot calculate the rate of return.

Additionally, the rate of return calculation would also require the initial investment, salvage value, and the time period considered. In this case, the initial cost and salvage value for the existing extractor are provided, but we still need the initial cost and salvage value for the alternate equipment.

Without the necessary data, it is not possible to determine the rate of return for the extra investment in the extractor replacement.

The calculation of the rate of return for the extra investment in the extractor replacement cannot be determined without knowing the cash inflows from both the existing extractor and the alternate equipment.

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Therefore, when the number of copies made in a month is above 4000, company A's charges are higher than company B's charges in the given equation.

Let's start by setting up an equation to represent the cost of renting a copier from each company:

Cost for company A = 0.10x + 200

Cost for company B = 0.05x + 400

where x is the number of copies made in a month.

To find the number of copies above which company A's charges are higher than company B's charges, we need to set the two equations equal to each other and solve for x:

0.10x + 200 = 0.05x + 400

0.05x = 200

x = 4000

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The 26th term is 36, and the 27th term is 37. Therefore, the 90th percentile is 37, meaning that 90% of the laptops have a score of 37 or lower.

what is percentile ?

A percentile is a measure used in statistics to indicate the value below which a given percentage of observations or data points in a distribution fall.

In the given question,

To find the 90th percentile in this sequence of numbers, you need to arrange them in ascending order:

20 22 23 23 23 24 25 26 26 27 27 27 28 28 29 29 31 31 31 32 33 33 33 34 35 35 36 37 43

The 90th percentile represents the value below which 90% of the data fall. To find this value, you can use the formula:

90th percentile = ((90/100) * N)th term

where N is the total number of data points in the sequence.

In this case, N = 29 (there are 29 laptops in the sequence). Substituting the values into the formula, we get:

90th percentile = ((90/100) * 29)th term

= (0.9 * 29)th term

= 26.1th term

Since we can't have a fraction of a term, we can round up to the nearest integer to get the 90th percentile. The 26th term is 36, and the 27th term is 37. Therefore, the 90th percentile is 37, meaning that 90% of the laptops have a score of 37 or lower.

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