Marissa says that lines a and d will eventually intersect.
Is she correct? Explain.
Q
yes, because they are on the same plane
O yes, because they are perpendicular
O no, because they are parallel
O no, because they are skew
Intro
Done

The centre height of Sam's tent to the nearest tenth = 7.8 feet.

The length of both sides of the tent (a) = 5ft

The base of the tent is (b)= 6ft

The centre height (c) = ?

Using the Pythagorean theorem

c² = a² + b²

c² = 5² + 6²

c² = 100 + 36

c² = √136

c² = 7.8 feet

Learn more about Pythagorean theorem here:

https://brainly.com/question/343682

#SPJ4

a) The arrival rate of parties requesting a table of size two per hour is 50% of the total arrival rate. Therefore, it is 0.5 * 24 = 12 parties per hour.

b) The total arrival rate of parties requesting tables of any size per hour is 24 parties per hour.

c) The average number of parties requesting a table of size four per hour is 40% of the total arrival rate. Therefore, it is 0.4 * 24 = 9.6 parties per hour.

d) The average number of parties waiting for a table of size four is given as 2 parties.

a) The arrival rate of parties requesting a table of size two per hour is calculated by taking the percentage of parties requesting a table of size two out of the total arrival rate. In this case, 50% of the parties require a table of size two. So, the arrival rate for parties requesting a table of size two is 0.5 * 24 = 12 parties per hour.

b) The total arrival rate of parties requesting tables of any size per hour is simply the sum of the arrival rates for each table size. In this case, we have an arrival rate of 12 parties per hour for tables of size two, 40% of the parties require a table of size four (which corresponds to an arrival rate of 0.4 * 24 = 9.6 parties per hour), and 10% of the parties request a table of size six (which corresponds to an arrival rate of 0.1 * 24 = 2.4 parties per hour). Adding these arrival rates together gives a total arrival rate of 12 + 9.6 + 2.4 = 24 parties per hour.

c) The average number of parties requesting a table of size four per hour is calculated by taking the percentage of parties requesting a table of size four out of the total arrival rate. In this case, 40% of the parties require a table of size four. So, the average number of parties requesting a table of size four per hour is 0.4 * 24 = 9.6 parties per hour.

d) The average number of parties waiting for a table of size four is given as 2 parties. This means, on average, there are 2 parties waiting for a table of size four at any given time.

Learn more about average here: https://brainly.com/question/8501033

#SPJ11

Answer:673 37

Step-by-step explanation:

Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable

You can find the rate of change by using this formula:

\(m=(y_2 - y_1)/x_2 -x_1\)

That m would go into another formula known as slope-intercept form

The equation is

y = mx +b

m = rate of change (or) slope

b = y-int

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

Learn more about alternate interior angles at

https://brainly.com/question/20344743

#SPJ1

The algebraic representation for the given function is f(x) = (x/7) + (6/7).

The function takes an input x and performs two operations on it. First, it divides the input by 7, which is represented by x/7. Then, it adds 6/7 to the result of the division.

To calculate f(x), you need to follow these steps:

1. Divide the input x by 7: x/7.

2. Add 6/7 to the result of the division: (x/7) + (6/7).

For example, if you want to evaluate f(21), substitute 21 for x in the algebraic representation:

f(21) = (21/7) + (6/7) = 3 + (6/7) = 3 + 0.8571 = 3.8571.

So, when the input is 21, the output of the function f(x) is approximately 3.8571.

To know more about evaluating functions and their algebraic representations, refer here:

https://brainly.com/question/12056604#

#SPJ11

Answer:

Subtract 6 from both sides

\(\textbf{a)}\\\\(2b^4)^3 \\\\=2^3 \cdot (b^4)^3\\\\=8b^{4 \times 3}\\\\=8b^{12}\\\\\textbf{b)}\\\\\left( \dfrac{3}{x^2 y} \right)^2\\\\\\=\dfrac{3^2}{(x^2 y)^2}\\\\\\=\dfrac{9}{x^4 y^2}\\\\\textbf{c)}\\\\(5a^4b)^2\\\\=5^2\cdot a^{4 \times 2} \cdot b^2\\\\=25a^8b^2\\\\\textbf{d)}\\\\\left( \dfrac{m^3 }{2n^2} \right)^4\\\\\\=\dfrac{(m^3)^4}{(2n^2)^4}\\\\\\=\dfrac{m^{3 \times 4}}{2^4 \cdot n^{2 \times 4}}\\\\\\=\dfrac{m^{12}}{16n^8}\)

Answer:

Circumference of a circle = pi * diameter

\(219.8=3.14*d\)

\(d=\frac{219.8}{3.14}\)

\(d=70\)

Radius = half of diameter

\(r=\frac{1}{2} d\)

\(r=\frac{1}{2}*70\)

\(r=35\)

Area of circle = \(\pi r^2\), where r is the radius:

\(a=3.14*35^2\)

\(a=3846.5\)

If they ran around the track 3 times, they would cover the circumference three times.

\(219.8*3=659.4\)

Convert to centimetres:

\(659.4*100=65940\)

To normalize the given wave function Ψ(Φ) = ae^(iΦ) + be^(2iΦ), we need to find the normalization constant by integrating the squared absolute value of the wave function over the entire range of Φ.

Then dividing the wave function by the square root of that integral. To calculate the normalized wave function, we start by finding the normalization constant. The squared absolute value of the wave function is |Ψ(Φ)|^2 = |a|^2 + |b|^2 + 2Re(ab^*e^(iΦ)).

The integral of |Ψ(Φ)|^2 over the range of Φ from 0 to 2π is 2π(|a|^2 + |b|^2). To normalize the wave function, we divide Ψ(Φ) by the square root of this integral. Thus, the normalized wave function is: Ψ_norm(Φ) = (1/√(2π(|a|^2 + |b|^2)))(ae^(iΦ) + be^(2iΦ)). Now, to calculate the expectation value of the angular momentum operator, we use the formula: ⟨L⟩ = ∫Ψ_norm^*(Φ)(-iħd/dΦ)Ψ_norm(Φ)dΦ

Substituting the normalized wave function into the formula and performing the integration, we obtain the expectation value of the angular momentum operator. Finally, to calculate the expectation value of the kinetic energy operator, we use the formula: ⟨KE⟩ = ∫Ψ_norm^*(Φ)(-ħ^2/2I)d^2/dΦ^2Ψ_norm(Φ)dΦ, where I is the moment of inertia of the rotating particle. We substitute the normalized wave function into the formula and evaluate the integral to find the expectation value of the kinetic energy operator. By performing these calculations, we can determine the expectation values of both the angular momentum and kinetic energy operators for the given wave function.

To learn more about wave function click here:

brainly.com/question/32119728

#SPJ11

The statement "If (a_n) is a bounded sequence and (b_n)→0, then (a_n * b_n)→0" is true.

If the sequence (a_n) is bounded, it means that there exists a positive number M such that |a_n| ≤ M for all n. This indicates that the values of (a_n) do not exceed a certain bound.

Given that (b_n) converges to 0, it means that for any positive ε, there exists a positive integer N such that |b_n| < ε for all n ≥ N. This implies that the values of (b_n) get arbitrarily close to 0 as n approaches infinity.

Now, consider the sequence (a_n * b_n). Since (a_n) is bounded, we can choose a positive number M such that |a_n| ≤ M for all n. From the convergence of (b_n) to 0, we can choose ε > 0 such that |b_n| < ε for all n ≥ N.

Using the properties of absolute values, we can write |a_n * b_n| ≤ M * |b_n|. Since M and ε are positive, it follows that M * |b_n| < M * ε for all n ≥ N.

Given that M * ε is a positive constant, we can conclude that |a_n * b_n| < M * ε for all n ≥ N. This implies that the sequence (a_n * b_n) also converges to 0, as the absolute values of its terms can be made arbitrarily small by choosing appropriate values of ε.

Therefore, the statement "If (a_n) is a bounded sequence and (b_n)→0, then (a_n * b_n)→0" is true.

Learn more about  bounded sequence here:

/brainly.com/question/29033797

#SPJ11

for a put 6 and b put -9

Explain: 6(-9) is equal to -54

and 6- -9 is 15 because the minus turns into a plus sign and the negative number turns into a positive number.

The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

Learn more about cylinder current total cost https://brainly.com/question/25109150

#SPJ11

The probability that, both tries to own a dog is 0.2500.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

P(A) = f / N determines probability, which quantifies the possibility of an event happening. Probability and odds are related, but probability is necessary for odds to exist. Prior to calculating the likelihood that an event will occur, probability is required.

Here, 50% of people own dog.

P(people own dog) = 50/100

= 0.5

P(both people own dog) = 0.5×0.5 = 0​​​​​​.2500

Learn more about probability Visit : brainly.com/question/13604758

#SPJ4

Answer:

-8

Step-by-step explanation:

The answer is (1,400)  because its 400 jump ropes per hour.

The interpretation is that 8% of the variation in the dependent variable can be explained by the variation in the independent variable. (B)

The coefficient of determination, r^2, is a measure of how much of the variation in the dependent variable can be explained by the variation in the independent variable.

It is calculated by squaring the correlation coefficient, r, between the two variables. In this case, r^2 is equal to 0.08, which means that 8% of the variation in the dependent variable can be explained by the variation in the independent variable.

This means that the independent variable has a relatively small effect on the dependent variable, and there are likely other factors that contribute to the variation in the dependent variable.

To know more about dependent variable click on below link:

https://brainly.com/question/1479694#

#SPJ11

Explanation

Step 1

Let x represents the number of hours

Let y represents the rate of the company

and

cost per hour = $3

so, the total cost per time is

cost per time= 3* number of hours

cost per time==3x

now, the company charges a $5 boarding rate

so, the rate is

I hope this helps you

Answer:

\( (\frac{2r}{3} - 7 = r + 5 \: ) \times 3 \\ 2r - 21 = 3r + 15 \\ 3r - 2r = - 21 - 15 \\ r = - 36\)

The binomial probabilities directly from the formula for b(x; n, p) can be compute as follows:

(a) b(5; 8, 0.35) is 0.278

(b) b(6; 8, 0.6) is 0.311

(c) P(3 ? X ? 5) when n = 7 and p = 0.55 is 0.609

(d) P(1 ? X) when n = 9 and p = 0.1 is  0.613

Binomial probability distribution is used to calculate the probability of getting a certain number of successes in a fixed number of trials, where each trial has only two possible outcomes: success or failure. The formula for calculating the binomial probability is:

b(x; n, p) = (nCx) * p^x * (1-p)^(n-x)

where x is the number of successes, n is the total number of trials, p is the probability of success in each trial, and nCx is the number of combinations of n things taken x at a time.

In part (a), we are asked to find the probability of getting exactly 5 successes in 8 trials with a probability of success of 0.35. Using the formula, we get:

b(5; 8, 0.35) = (8C5) * 0.35^5 * (1-0.35)^(8-5) = 0.278

In part (b), we are asked to find the probability of getting exactly 6 successes in 8 trials with a probability of success of 0.6. Using the formula, we get:

b(6; 8, 0.6) = (8C6) * 0.6^6 * (1-0.6)^(8-6) = 0.311

In part (c), we are asked to find the probability of getting between 3 and 5 successes in 7 trials with a probability of success of 0.55. We can find this probability by summing the individual probabilities of getting 3, 4, and 5 successes. Using the formula, we get:

P(3 ≤ X ≤ 5) = b(3; 7, 0.55) + b(4; 7, 0.55) + b(5; 7, 0.55) = 0.609

In part (d), we are asked to find the probability of getting at least 1 success in 9 trials with a probability of success of 0.1. We can find this probability by subtracting the probability of getting 0 successes from 1. Using the formula, we get:

P(X ≥ 1) = 1 - b(0; 9, 0.1) = 1 - 0.387 = 0.613

Learn more about binomial probabilities at https://brainly.com/question/12921911

#SPJ11

Answer:

96

Step-by-step explanation:

su=153

ts=57

su-ts=tu

153-57=96

tu=ou

ou=96

Answer:

A

Step-by-step explanation:

Find length of segment > Been so long i did this problem

How I get answer by simplify

SU = 153

Multiply to CO =75

Divide that 57

Which get 201.31 ,But your question round nearest hundredth

201.32

Answer : A

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

" Problem it said look carefully" Round nearest hundredth

The amount of ounces of the third alloy that will be used to make 3-ounce pieces of jewelry worth $438 is 1.1129 ounce

Let the first alloy be g

Let the second alloy be s

Let the third alloy be x

to get the amount of the third alloy that will have a combination worth $438

$160 + $140 + $x = $438

$300 + $x = $438

$x = $438 - $300

$x = $138

1 ounce of x is $124

? ounce = $138

cross multiplying

? * 124 = 138

? = 138 / 124

? = 1.1129 ounce of the third alloy will e required

Learn more about ounces in equation at:

https://brainly.com/question/19645621

#SPJ1

She combine with the other two to make 3-ounce pieces of jewelry worth $438 each is 0.75 ounces.

Let's define some variables:

g = ounces of gold per piece

s = ounces of silver per piece

x = ounces of other alloy per piece

There's twice as much gold as there is silver, so:

g = 2s

The total weight of the piece is 3 ounces, so:

g + s + x = 3

The total cost is $438, so:

160g + 140s + 124x = 438

Three equations, three variables.  We can solve the system of equations.  If we substitute the first equation into the second:

2s + s + x = 3

3s + x = 3

x = 3 − 3s

If we substitute this new equation and the first equation into the third equation:

160 (2s) + 140s + 124 (3 − 3s) = 438

320s + 140s + 372 − 372s = 438

88s = 66

s = 0.75

Now solve for g and x:

g = 2s = 1.5

x = 3 − 3s = 0.75

Therefore, the amount of alloy equals the amount of silver.  The jeweler has 10 ounces of silver, so she needs 10 ounces of alloy.

Peter is right and Nadia is wrong.

Equivalent fractions are fractions that represent the same value, even though they look different.

Given is that Peter says 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says while 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.

{ 1 } -

3/4 = (3 x 2)/(4 x 2) = 6/8

Peter is right.

Now -

3/4 = 6/8

So it could not represent two different quantities. So, Nadia is wrong.

{ 2 } -

3/4 = 6/8 = 9/12 = 12/15

These all represent the same quantity. Division of all the expressions will result in same value.

Therefore, Peter is right and Nadia is wrong.

To solve more questions on equivalent fractions, visit the link below -

https://brainly.com/question/29775885

#SPJ1

Answer:

(x - 1)(x + 1)(x + 3).

Step-by-step explanation:

x^3 + 3x^2 - x - 3            Factor by grouping:

= x^2(x + 3) - 1(x + 3)       x+3 is common .

= (x^2 - 1)(x + 3)                x^2 - 1 is the difference of 2 squares.

= (x - 1)(x + 1)(x + 3).

The rate of change of the mass of salt in the tank is described by the option Odm/dt = 15-(m/100). The following is a detailed solution to the problem:

a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved.

Pure water enters the tank at the rate of 10 liters per minute.

The solution is kept thoroughly mixed and is drained from the tank at the same rate. If m is the mass of salt in the tank at time t, then we have to determine the rate of change of the mass of salt in the tank.

The concentration of salt initially in the tank = 15 kg/ 1000 L = 0.015 kg/L.

Concentration of salt at any time t = m/(1000+10t) kg/L (since we are adding pure water at a rate of 10L per minute).

Let the rate of change of the mass of salt be given by Odm/dt.

Now we apply the mass balance equation to salt to find the rate of change of mass of salt in the tank.

From mass balance: Rate of accumulation = Rate of input - Rate of output

Rate of accumulation of salt in the tank = d(m)/dt

Rate of input of salt = 0

Rate of output of salt = (Concentration of salt in the tank) x Rate of output= (m/(1000+10t)) x 10

We now have:

Odm/dt = 0 - [(m/(1000+10t)) x 10]= - (m/ (100 + t)) kg/min

Odm/dt = - m/ (100 + t) kg/min

We can conclude that the option Odm/dt = 15-(m/100) describes the rate of change of the mass of salt in the tank. As the salt dissolves in the tank, the rate of accumulation of salt in the tank decreases and becomes zero when the solution becomes saturated. When this happens, the rate of input of salt will be equal to the rate of output of salt, and there will be no net accumulation of salt.

The rate of change of the mass of salt will be negative when the mass of salt is decreasing and will be positive when the mass of salt is increasing.

This occurs when salt is being added to the tank or when the solution is not yet saturated with salt.

The rate of change of the mass of salt in the tank will be zero at equilibrium.

In conclusion, the rate of change of the mass of salt in the tank is given by the option Odm/dt = 15-(m/100).

To know more about rate of change visit:

brainly.com/question/29181688

#SPJ11

Answer:

x=2,y=-3

Step-by-step explanation:

detailed explanation showed in the image above

The probability that a student earned a score of at least 3 is, 0.610.

Therefore, the correct option is option e. 0.610

To find the probability that a student earned a score of at least 3, we need to sum the probabilities of scoring a 3, 4, or 5.

Probability of scoring at least 3 = Probability(3) + Probability(4) + Probability(5)

Probability of scoring at least 3 = 0.249 + 0.217 + ?

We know that the sum of all probabilities must equal 1, so we can solve for the missing probability:

0.235 + 0.155 + 0.249 + 0.217 + ? = 1

? = 0.144

Now we can complete the calculation:

Probability of scoring at least 3 = 0.249 + 0.217 + 0.144 = 0.61

Therefore, the answer is e. 0.610.

Know more about probability here:

https://brainly.com/question/13604758

#SPJ11