Determine if the lines are parallel, perpendicular, or neither
y = 4x + 10
y = -x + 2
Parallel
Perpendicular
Neither

Answer:

1.23 x 10 to the power of 4

Step-by-step explanation:

Answer:

The population mean = sample mean = x`= 67.5

Population standard deviation = 13.369

Sample standard deviation= 4.225

Step-by-step explanation:

AS the population mean is not given we will calculate it from the sample.

The mean of the sampling distribution is equal to the population mean .

The sample mean is calculated by

x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10

x`=675/10= 67.5

The standard deviation of the sample is equal to

u = σ/ √n   where σ is the population standard deviation and n is the number of observations.

Calculating the sample mean

s= √∑xi²/n- (∑x/n)²

s= √(45741/10)- (675/10)²

s= 4.2249

σ= u*√n= 4.229 *√10

σ=13.360

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola. ... If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.

Step-by-step explanation:

please mark me brainlist

The relationship between the vertex and the minimum or maximum value of the parabola is given below.

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

Let the vertex be any parabola is (x, y).

When the graph of the parabola opens up,

then the y-value of the vertex is the minimum value.

And when the graph of the parabola opens down,

then the y-value of the vertex is the maximum value.

Therefore, the explanation is given above.

To learn more about the parabola;

https://brainly.com/question/21685473

#SPJ2

Answer:

$37.50

Step-by-step explanation:

If 50 apples cost $25 to find the cost of 1 apple, we divide the total cost by the total number of items. In this case, we do 25/50.

One apple costs 0.50. If we need 75 apples then we simply multiply 0.50 by 75 which gets us 37.50.

Answer:

if there is no equation given with the problem, then all you do is read the y coordinate value corresponding to 25 mins and 40 mins.

here f(25) looks yo be 7 and f(40) looks yo be 20.

The expression for the probability of picking a purple marble and then a green marble without replacement is: P(P and G') = (p / (4 + p + r)) * (3 / (3 + r))

Let's denote the event of picking a purple marble by P and the event of picking a green marble after a purple marble has been picked by G'. Since we do not replace the marble after the first pick, the probability of picking a purple marble is the proportion of purple marbles in the bag. Let's assume that there are r red marbles, g green marbles (including the 4 already picked), and p purple marbles. Then the total number of marbles in the bag is r + g + p.

Since we know that there are 4 green marbles already in the bag, the total number of marbles in the bag is g + p + r = 4 + p + r. We can use this equation to eliminate g from the probability calculation.

The probability of picking a purple marble is:

P(P) = p / (4 + p + r)

After a purple marble is picked, the total number of marbles in the bag is 4 + r. The probability of picking a green marble from this reduced bag is:

P(G' | P) = (4 - 1) / (4 + r - 1) = 3 / (3 + r)

The probability of both events occurring is the product of their probabilities:

P(P and G') = P(P) * P(G' | P) = (p / (4 + p + r)) * (3 / (3 + r))

We don't have enough information to determine the values of p and r, so we cannot calculate the exact probability. However, we can give an expression for the probability in terms of p and r.

As a final step, we can check that our expression for the probability satisfies some common-sense constraints. The probability should be between 0 and 1, and it should increase as the number of purple marbles increases (since this makes it more likely to pick a purple marble) and decrease as the number of red marbles increases (since this makes it less likely to pick a green marble after a purple one has been picked).

To learn more about probability Click here:
brainly.com/question/30034780

#SPJ4

Answer:

assuming that the x means multiply, 602

if you mean x is a variable, the answer is 902-200x

Step-by-step explanation:

Answer:

602

Step-by-step explanation:

first off, I SEE YOU GIRL YOU GORG AFF

Anyways for 2+900-100x3 you have to use PEMDAS so you multiply first, 100 * 3 = 300 and then it is now 2+900-300 so now that it is only subtraction and addition you go left to right, so 2+900=902 and 902-300= 602

hope this helpedddd

Answer:

Rotation or reflection

Step-by-step explanation:

The simplified expression by using box method to distribute is \(5x^2 - 6x - 8.\)

In mathematics, an expression is a combination of symbols, numbers, and operators (such as +, -, x, ÷, etc.) that represents a quantity or a relationship between quantities. Expressions can be simple, such as a single number or variable, or complex, such as an algebraic expression with multiple terms and variables. Expressions can be evaluated, simplified, and manipulated using various algebraic techniques.

To use the box method, we draw a box and divide it into four parts, with each part representing a multiplication of one term from the first expression with one term from the second expression:

We then add up the terms in each box to simplify:

(5x + 4)(x - 2) = \(5x^2 - 10x + 4x - 8\)

                      = \(5x^2 - 6x - 8\)

Hence, the simplified expression is \(5x^2 - 6x - 8.\)

To know more about expression visit :

https://brainly.com/question/1859113

#SPJ1

Given

Probability distribution table

Find

Mean , variance and Standard Deviation

Explanation

As we have given

X = 0 , 1 , 2 , 3 , 4 , 5

P(X) = 0.15 , 0.20 , 0.35 , 0.22 , 0.07 , 0.01

Mean

Formula is given by

first we find the values of X.P(X)

Variance =

standard deviation =

Final Answer

Therefore ,

Mean = 1.89

Variance = 1.38

Standard Deviation = 1.17

Answer:

convert 10 hours 30 minutes to hours= 10.5

683/10.5

=65.04km/h

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

Learn more about the function at

https://brainly.com/question/32520165

#SPJ11

On the number line, the point P represents the number \(5.7\times10^{-3}\).

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

There are a total of 11 points on the number line, and the distance between each point is the same.

We can use this fact to find the number represented by point P.

The distance between the 1st point and the 11th point is -

\(6\times10^{-3} - 5\times10^{-3} = 1\times10^{-3}\)

Since there are 11 points in total, the distance between each point is \((1\times10^{-3}) / 10 = 0.1\times10^{-3}\).

Therefore, the distance between the 1st point and the 8th point is 7 times the distance between each point -

distance = \(7 \times (0.1\times10{^-3}) = 0.7\times10^{-3}\)

To find the number represented by point P, we add this distance to the value of the 1st point -

\(P = 5\times10^{-3} + 0.7\times10{^-3}\)

\(P = 5.7\times10^{-3}\)

Therefore, the number represented by point P is \(5.7\times10^{-3}\).

To learn more about number line from the given link

https://brainly.com/question/25230781

#SPJ1

Answer:

This team can form 400 pretzels in one hour

Step-by-step explanation:

How many pretzels in 9 minutes?

5(12)=60

Solve as proportion

60 pretzels = 9 minutes

x    pretzels = 60 minutes

60(60)=9x

3600=9x

Divide both sides by 9

x= 400 pretzels

This team can form 400 pretzels in 1 hour

Answer:

this team can form 30 pretzels in 1 hour

Step-by-step explanation:

60 minutes are in a hour, and 60 divided by 9 is 6.6. So that means you would have to use 6. So 9 x 6 equals 54. Now do 5 x 6 and that would equal 30.

The output of 0.7326 represents the test statistic (Z-score) computed from the 1-sample Z-test in Excel.

It tells you how many standard deviations the sample mean is from the population mean under the null hypothesis.

A test statistic (Z-score) is a numerical value used in statistical hypothesis testing to assess the evidence against the null hypothesis.

A test statistic measures the difference between a sample statistic (eg sample mean) and the corresponding population parameter (eg population mean) assuming the null hypothesis is true.

For the Z-test, the test statistic is computed as

z = (x - μ) / (σ / √n)

where x = sample mean,

μ = population mean,

σ= population standard deviation,

and n = sample size.

The resulting Z-score indicates how many standard deviations the sample mean is from the population mean, assuming the null hypothesis is true.

learn more about test statistics (Z-score)

brainly.com/question/30792829

#SPJ4

(a) To evaluate (x^2) for the ground state of the Harmonic Oscillator, we need to integrate x^2 multiplied by the square of the absolute value of the wavefunction ψ0(x).

(b) The expectation value of p^2 for the ground state of the Harmonic Oscillator is simply the eigenvalue corresponding to the momentum operator squared.

(c) By calculating the uncertainties in position (Δx) and momentum (Δp) for the ground state, we can verify that their product satisfies Heisenberg's uncertainty principle, Δx · Δp ≥ ħ/2.

(a) In the ground state of the Harmonic Oscillator, the wavefunction is given by \(\psi_0(x) = \frac{1}{\sqrt{\sigma}}e^{-\frac{x^2}{2\sigma^2}}\), where \(\sigma\) is the standard deviation.

To evaluate \((x^2)\), we need to find the expectation value of \(x^2\) with respect to the wavefunction \(\psi_0(x)\). Using the formula for the expectation value, we have:

\((x^2) = \int_{-\infty}^{\infty} x^2 \left|\psi_0(x)\right|^2 dx\)

Substituting the given wavefunction, we have:

\((x^2) = \int_{-\infty}^{\infty} x^2 \frac{1}{\sqrt{\sigma}}e^{-\frac{x^2}{\sigma^2}} dx\)

Evaluating this integral gives us the value of \((x^2)\) for the ground state of the Harmonic Oscillator.

To evaluate \(\sigma_2\), we can simply take the square root of \((x^2)\) and subtract the expectation value of \(x\) squared, \((x)^2\).

(b) To evaluate \((p^2)\), we need to find the expectation value of \(p^2\) with respect to the wavefunction \(\psi_0(x)\). However, in this case, it is clear that the ground state of the Harmonic Oscillator is an eigenstate of the momentum operator, \(p\). Therefore, the expectation value of \(p^2\) for this state will simply be the eigenvalue corresponding to the momentum operator squared.

(c) The Heisenberg's uncertainty principle states that the product of the uncertainties in position and momentum (\(\Delta x\) and \(\Delta p\)) is bounded by a minimum value: \(\Delta x \cdot \Delta p \geq \frac{\hbar}{2}\).

To show that the uncertainty product satisfies the uncertainty principle, we need to calculate \(\Delta x\) and \(\Delta p\) for the ground state of the Harmonic Oscillator and verify that their product is greater than or equal to \(\frac{\hbar}{2}\).

If the ground state wavefunction \(\psi_0(x)\) is a Gaussian function, then the uncertainties \(\Delta x\) and \(\Delta p\) can be related to the standard deviation \(\sigma\) as follows:

\(\Delta x = \sigma\)

\(\Delta p = \frac{\hbar}{2\sigma}\)

By substituting these values into the uncertainty product inequality, we can verify that it satisfies the Heisenberg's uncertainty principle.

Regarding the statement \((x) = 0\) and \((p) = 0\) for this problem, it seems incorrect. The ground state of the Harmonic Oscillator does not have zero uncertainties in position or momentum. Both \(\Delta x\) and \(\Delta p\) will have non-zero values.

learn more about "wavefunction":- https://brainly.com/question/28447252

#SPJ11

The dimensions of the helmet box from least to greatest value are:

Height = 8 in.

Width = 9 in.

Length = 9 in.

The dimensions of the shipping box from least to greatest value are:

Height = 8 in.

Width = 11 in.

Length = 13 in.

The formula for the volume of a box are:

Volume = Length * Width * height

We are told that the equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.

Thus:

8(n + 2)(n + 4) = 1144

8n² + 48n + 64 = 1144

8n² + 48n - 1080 = 0

Factorizing gives us:

8[(n - 9)(n + 15)] = 0

Solving for n gives us:

n = 9 or -15 inches

The dimensions of the helmet box are as follows

Width = 9 in.

Length = 9 in.

Height = 8 in.

The dimensions of the shipping box ordered are as follows;

Width = 9 + 2 = 11 in.

Length = 9 + 4 = 13 in.

Height = 8 in.

Read more about Box Dimensions at: https://brainly.com/question/18751789

#SPJ4

Complete question is:

As an employee of a sporting goods company, you need to order shipping boxes for bike helmets. Each helmet is packaged in a box that is n inches wide, n inches long, and 8 inches tall. The shipping box you order should accommodate the boxed helmets along with some packing material that will take up an extra 2 inches of space along the width and 4 inches of space along the length. The height of the shipping box should be the same as the helmet box. The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.

using your solution from question 1, enter the dimensions of the bike helmet shipping box. enter the lengths in order

from least to greatest value.

Answer:

5.19 for the roast beef & 2.39 for the cheese. 7.58$

10.00$-7.58$=3.42$

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

Learn more about the differentiation here:

brainly.com/question/954654

#SPJ11

Answer:

Part 1 d/a = a/f

d/b = b/c

e/c = c/f

Explanation:

The triangles are similar.

This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.

Part 2:

78

Explanation:

Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.

5x –19 = 2x +11

3x = 30

x= 10

5(10) –19 = 31

2(10) + 11 = 31

Add the three sides: 31 +31 +16 = 78

Part 3:

Sin A= Cos B. both are a/b

Sin C= Cos A both are c/b

Sin C = c/b

Explanation:

Remember S=o/h, C=a/h , T=o/h

Look at the relationship of the sides to the angles given. If the sides match, the statement is true.

Sine of angle A is side a to side b. This is opposite/hypotenuse

Cosine of angle B is side a to side b This is adjacent/hypotenuse.

The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.

This can be confusing, but the more you practice, the easier it gets.

I hope this helps!

The table shows the values of x and y of a certain function.

We can be sure it's a linear relationship because, for each increment of 1 in the value of x, the y also increments by 1.

It's required to find the y-intercept of the relationship.

If we look closely at the point (-1, -5) and (1, -3) we can note the point (0, ?) is missing.

We have already stated that, for every increment of 1 for x, the y will also increment by 1, thus, for x = 0, the value of y is y = -5 + 1 = -4

Note this is the mean value between -5 and -3, the two points just around the required answer.

We can also check this result by graphing or finding the equation of the line.

The y-intercept is -4

Answer:

\( \frac{3 \sqrt{5} }{10} \)

Step-by-step explanation:

Given the expression:

\( \frac{3 \sqrt{20} }{5 \sqrt{16} } \)

The expression can be written in the form below:

\( = \frac{3 \sqrt{4 \times 5} }{5 \sqrt{4 \times 4} } \)

Simplify further:

\( = \frac{3 \times \sqrt{4 \times \sqrt{5} } }{5 \times 4} \\ = \frac{3 \times 2 \times \sqrt{5} }{5 \times 4} \\ = \frac{6 \sqrt{5} }{20} \\ = \frac{3 \sqrt{5} }{10} \)

The correct choice is B.

When drawing the stretch-out arc for the pattern of a cone fitting, the radius should be equal to the true length of the side.

The 3 tactics typically used in developing patterns are parallel-line, radial-line, and triangular improvement.

To make such objects, a drafter has to first draw them as a pattern or pattern improvement. A pattern improvement additionally known as a stretch out or simply an improvement is a format of an object made on a single flat aircraft.

In radial traces, we develop styles for shapes that have a taper, all element lines (bends) should radiate returned to a not unusual factor, a radius point. We want matters for this procedure to paintings: A radius factor is in the center (right cone). A radius point is inside an inexpensive distance.

Learn more about cone fitting here: https://brainly.com/question/12753579

#SPJ4

Answer:

f = 15

Step-by-step explanation:

15 + 6f = 7f

subtract 6f from each side

15= 1f

15=f

Answer:

15

Step-by-step explanation:

15 +6f =7f

15 =7f - 6f

15 =f

Answer:

its 13

Step-by-step explanation:

9x and 4y are variables. 13 does not have a letter by it making it a constant.

Answer:

12.32

Step-by-step explanation:

You basically divide the 4 and then multiply the cost of 1 by 7

Answer:

use math w ay .co m its helps

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st box. -3x

2nd and 3rd box. -21 on each side

4th box. 0

and you have the rest I hope I could help you.