Pls help

The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell shaped distribution. This distribution has a mean of 45 and a standard deviation of 3. Using the empirical rule, what is the approximate percentage of 1 mile long roadways with potholes numbering between 42 and 54?
Do not enter the percent symbol.

Answer: The answer is D. 3x+2y=6, please mark me as brainliest, I want my brainliest back and I want very helpful for good!!!

Step-by-step explanation:

Priya's circle:

circumference = pi x Diameter

12.56 = pi x D

Solve for D:

12.56/ pi = D

Diameter = 4 cm

Since Clare's circle has a diameter that is 3 times the diameter of Priya's:

Clare's diameter = 4 x 3 = 12

Clare's circumference = 12 x pi = 37.7 cm

A function is a rule that for each input has at most one output.

Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.

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Answer:

5. 3,2 is not | 0,1 is | 9,-1 is not | 6,-2 is | 5,0 is not

6. The line is gonna be y= 1/3 - 2

Step-by-step explanation:

For 5 just plug in the numbers for x and y.

Answer:

A-Volume is the amount of space inside an object.

C-Surface area is the sum of the areas of the faces of an object.

D-Surface area and volume are measurements of three-dimensional objects.

Step-by-step explanation:

Got it right on edge unit test

The true statements are:-

A-Volume is the amount of space inside an object.

C-Surface area is the sum of the areas of the faces of an object.

D-Surface area and volume are measurements of three-dimensional objects.

Volume is defined as the space occupied by any object in the three dimensions. All three parameters are required for the volume like length, width, and height of the cube.

The correct statements can be written below:-

A-Volume is the amount of space inside an object.

C-Surface area is the sum of the areas of the faces of an object.

D-Surface area and volume are measurements of three-dimensional objects.

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Answer:  26 and 1/4

Step-by-step explanation:

Answer  When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

Step-by-step explanation:

Answer:

0.512xx

Step-by-step explanation:

100% - 36% = 64%

64% = 0.64

thus after 1st yr, she is left with the value of 0.64xx

100% - 20% = 80%

80% = 0.8

thus after 2nd yr, she is left with the value of 0.8 x (0.64xx) = 0.512xx

Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed   can be described as a positive correlation.

As wind speed increases,the fire spread rate also tends   to increase.

b. Direction  -

Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to   be positive.

As the wind speed   increases,the fire spread rate generally tends to increase as well.

c. Strength  -

The scatterplot suggests a   moderate to strong relationship between fire spread rate and wind speed.

The data points   exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.

The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.

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Full Question:

Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.

Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.

Wind Speed (miles/hour) Fire Spread Rate (feet/minute)

0.76                                         0

1.78                                             2

3.34                                                4

5.38                                       6

8.10                                                8

11.75                                     10

16.70                                    12

A scatterplot of these data is shown here  -

1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?

a. Form:

b. Direction:

c. Strength:

The probability that at least one will have a defect is 19%.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula.

p = 4% = 0.04

q = Prob of a defective product is 0.03; hence, Prob(non-defective) = 1 - 0.04 = 0.96.

Prob(at least one flaw) is now equal to 1 - Prob (0 defects)

= 1 - 9C0 x 0.04^0 x 0.96^9

= 1 - 1 x 1 x 0.815

= 0.19 or 19%

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9514 1404 393

Answer:

  B, C

Step-by-step explanation:

Linearly dependent sets can be found using row-reduction techniques. If a row ends up zero, then the set is linearly dependent. Equivalently, the determinant of a 3×3 matrix can be computed. If it is zero, the set is dependent. The cross-product of two 3-D vectors can be computed. If it is zero, the vectors are dependent.

Any set of vectors that has more elements than each vector does must necessarily be dependent.

It is helpful to be able to use a calculator capable of performing these calculations (as opposed to doing it by hand). The first attachment shows the result of computing the reduced row-echelon form of the first set of 3 vectors. The set is found to be independent.

__

The second set of vectors is clearly dependent, as the second vector is 5 times the first.

__

The third set contains more vectors than there are elements to a vector. Hence at least one of them can be created using some combination of the others. This set is dependent.

__

The cross-product of the fourth set is non-zero, so it is independent. The second attachment shows the result of a row-reduction tool on these vectors.

The volume of the shape is 490cm³

A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.

The base of this prism is rectangular. The volume of a prism is expressed as;

V = base area × height

base area = 7 × 10 = 70cm²

height = 7cm

the volume of the shape = 70× 7 = 490cm²

therefore the volume of the shape is 490cm³.

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In order to calculate the number of Americans in 1990, we can use the following equation for exponential growth:

Where P is the final value after t years, P0 is the initial value and i is the growth rate per year.

So, using P0 = 2180000, i = 5% = 0.05 and t = 10, we have:

So the number of Americans in 1990 were 3,550,990.

Answer:

D

Step-by-step explanation:

multiply each number by 40

ex:

.10x40=40

Answer:d

Step-by-step explanation:

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:  would be about 2000

Answer:

3/15, 10/15, 13/15

Step-by-step explanation:

We want 1/5 and 2/3 to share a common denominator.

1/5 has a denominator of 5, and 2/3 has a denominator of 3. They are both prime, so you can't have a smaller LCD than they multiplied, which is 15.

To make 1/5 into a denominator of 15, we multiply both the numerator and denominator by 3 (15 divided by 3) to make sure the fraction stays the same.

We get (1×3)/(5×3)=3/15

Apply this to 2/3, but instead of multiplying by 3, which gives you a denominator of nine, we multiply by 5 to make sure we get 15.

We get (2×5)/(3×5)=10/15

Now we see 3/15+10/15, using (numerator+numerator)/(denominator+denominator).

We get 13/15

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The minimum value of \($\|\mathbf{v}\|$\) is zero.

The minimum value of \($\|\mathbf{v}\|$\) is zero, as it is the distance between the origin and a point on the line. To solve this problem, the formula \($\|\mathbf{v}\| = \sqrt{x^2 + y^2}$\) can be used, where x and y are the coordinates of the point on the line. Since the equation of the line is \($\dbinom{10}{3} \dbinom{-2}{1}t$\), the coordinates of the point on the line can be found by substituting \($t = 0$: $x = 10 \cdot 0 - 2 \cdot 0 = 0$, and $y = 3 \cdot 0 + 1 \cdot 0 = 0$\) . Substituting these values into the formula for \($\|\mathbf{v}\|$ gives $\|\mathbf{v}\| = \sqrt{0^2 + 0^2} = 0$\). Therefore, the minimum value of \($\|\mathbf{v}\|$\) is zero.

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Answer:

Step-by-step explanation:

Given function:

This is a third degree function with negative leading coefficient.

This is therefore decreasing function and can have one local maximum and one local minimum.

From the given graphs we can see only bottom left one can be a matching one.

Charles should hire 20 workers for each hour.

To determine the optimal number of workers to hire, Charles needs to compare the marginal cost and marginal benefit of each additional worker.

The marginal benefit of each worker is the additional number of drinks they can produce multiplied by the average selling price per drink. The marginal cost is the hourly wage of each worker multiplied by the number of hours they work.

Initially, the marginal benefit of the first worker is 20 drinks * $3/drink = $60.

The marginal cost is $15/worker * 8 hours = $120.

The second worker has a marginal benefit of 18 drinks * $3/drink = $54.

The marginal cost is still $120.

For each additional worker hired, the marginal benefit decreases by 2 drinks * $3/drink = $6, while the marginal cost remains constant at $120.

Charles should hire workers as long as the marginal benefit is greater than the marginal cost.

Once the marginal benefit is equal to or less than the marginal cost, it is no longer profitable to hire more workers.

Therefore, Charles should hire workers until the marginal benefit is equal to the marginal cost, which occurs when the marginal benefit is $120.

To find out how many workers will provide a marginal benefit of $120, we set the marginal benefit equal to $120 and solve for the number of workers:

$6 * n = $120

$n = 20

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Answer:

V = 9 x 3 x 3 = 81 ft³

81 ft³ is the volume.

Answer:

A. G(x) = x - 9

Step-by-step explanation:

For the function F(x) to shift right, there needs to be a negative number being subtracted. In this case, only answer "A," fits. This is because 9 is being subtracted, making the function shift to the right 9 units.

Answer:

number of commercials: 6

Number of movies: 4

Step-by-step explanation:

Let x = the number of commercials

Let y = the number of movies

30x + 110 y = 620

x + y = 10     This can be written y = 10 - x (substitute 10 - x for y)

30x + 110y = 620

30x + 110(10 - x) = 620   Distribute the 110

30x + 1100 - 110x = 620    Combine like terms

-80x + 1100 = 620   Subtract 1100 from both sides

-80x = -480   Divide both sides by -80

x = 6

There are 6 commercials.

Substitute 6 for x

x + y = 10

6 + y = 10   Subtract 6 from both sides

y = 4

There are 4 movies.

Check:

x + y = 10

6 + 4 = 10

10 = 10  checks

30x + 110y = 620

30(6) + 110(4) = 620

180 + 440 = 620

620 = 620 checks

Answer:

5/9 not sure if correct sorry if wrobg

Answer:

9/5

Step-by-step explanation:

Solution

3

2

​

5

6

​

​

=?

Step 1. Multiply the numerator by the reciprocal of the denominator.

=

3

2

​

5

6

​

​

=

5

6

​

×

2

3

​

=

5×2

6×3

​

Step 2. Simplify by dividing top and bottom by the highest common factor (2)

5×2

6×3

​

=

5×1

3×3

​

∴

3

2

​

5

6

​

​

=

5

9

​

Answer:

where is the table??

Step-by-step explanation:

Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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Answer:

A. Periodic deposit:

The goal is to make $130,000 by depositing a set amount every year.

This set amount is an annuity. The $130,000 is therefore the future value of the annuity after 18 years.

Future value of annuity = Annuity * Future value of annuity factor, 7%, 18 years

130,000 = Annuity * 33.9990

Annuity = 130,000 / 33.9990

= $3,823.64

B. Sources of the financial goal.

Money from deposits = Periodic deposit * no. of years

= 3,823.64 * 18

= $68,825.52

Money from interest:

= Financial goal - Money from deposits

= 130,000 - 68,825.52

= $61,174.48

Answer:

100 meters for the first jump, the second jump was 120

Step-by-step explanation: