Use variables to write an equation that represents the relationship between the time

X and the distance Y

An eagle flies 40 miles per hour

Solution:

Given:

From the numbers, the number of king and diamond cards = 1

Hence, the probability that the card is a king​ and a diamond​ is;

Answer:

i don't know if this is good for you but

Step-by-step explanation:

What are two possible sets of dimensions ( length, width, and height) of her shape? Alexandria's swimming pool can hold. 756 cubic feet 

Answer:

5556 Step-by-step explanation:

Answer:

\( \sqrt{3} \)

Step-by-step explanation:

Irrational number.

=====================================

Explanation:

The original transformation (2x, y+5) takes any x value and doubles it. So the inverse of this is to cut the x value in half. We can say x/2 since division is the opposite of multiplication. The value x/2 is the same as ½x

For the y coordinate, we add on 5 for the original transformation. Subtraction undoes addition meaning the inverse will have y-5.

Side note: the inverse notation \(T^{-1}\) can be written as T^(-1).

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

Know more about proportions,

https://brainly.com/question/31548894

#SPJ4

Given that `z` is a standard normal random variable, we are to calculate the following probabilities using the appropriate appendix table or technology:

(a) `P(z ≤ -2.0)` (b) `P(Z > -2)` (c) `P(Z < 1.7)` (d) `P(-2.3 ≤ Z ≤ 2)` (e) `P(-3 < Z < -1.5)`.

From the normal distribution table, we can read the probability of a `z-score`. Using this table, we can calculate the following probabilities:

(a) P(z ≤ -2.0). The standard normal distribution table shows that the area to the left of a `z-score` of `2.0` is `0.0228`. Hence, P(z ≤ -2.0) = 0.0228.

Answer: `0.0228`

(b) P(Z > -2)P(Z > -2) = 1 - P(Z ≤ -2) = 1 - 0.0228 = 0.9772

Answer: `0.9772`

(c) P(Z < 1.7)P(Z < 1.7) = 0.9554

Answer: `0.9554`

(d) P(-2.3 ≤ Z ≤ 2)P(-2.3 ≤ Z ≤ 2) = P(Z ≤ 2) - P(Z ≤ -2.3)

We need to find `P(Z ≤ 2)` and `P(Z ≤ -2.3)` by referring to the standard normal distribution table:

P(Z ≤ 2) = 0.9772P(Z ≤ -2.3) = 0.0107

Therefore, P(-2.3 ≤ Z ≤ 2) = 0.9772 - 0.0107 = 0.9665

Answer: `0.9665`

(e) P(-3 < Z < -1.5)P(-3 < Z < -1.5) = P(Z < -1.5) - P(Z < -3)

We need to find `P(Z < -1.5)` and `P(Z < -3)` by referring to the standard normal distribution table:

P(Z < -1.5) = 0.0668P(Z < -3) = 0.0013

Therefore, P(-3 < Z < -1.5) = 0.0668 - 0.0013 = 0.0655

Answer: `0.0655`.

To know more about variable refer to:

https://brainly.com/question/28248724

#SPJ11

The current utilization of the road is 0.5833 or 58.33%. To calculate the current utilization of the road, we need to use the formula:

Utilization = Arrival rate x Drive time

Since we are assuming Poisson arrival and exponential drive times, we can use the following formulas:

Arrival rate = λ = 35 cars per hour
Drive time = 1/μ = 1/60 hours (since the drive time is 1 minute)

Therefore,

Utilization = 35 cars per hour x (1/60 hours)
Utilization = 0.5833 or 58.33%

So the current utilization of the road in Mountainside Village is 58.33%.
Hi! As the transportation director of Mountainside Village, we can calculate the current utilization of the road using the given terms. The peak traffic rate is 35 cars per hour, and the drive time without traffic is 1 minute (or 1/60 hours).

Since we're assuming Poisson arrival and exponential drive times, we can calculate the utilization (ρ) using the formula:

ρ = λ / μ

Here, λ represents the arrival rate (35 cars/hour), and μ represents the service rate, which is the inverse of the average drive time (1/60 hours).

So, μ = 1 / (1/60) = 60 cars/hour

Now, we can calculate the utilization:

ρ = 35 cars/hour / 60 cars/hour = 0.5833 (rounded to 4 decimal places)

Thus, the current utilization of the road is 0.5833 or 58.33%.

Visit here to learn more about exponential brainly.com/question/28596571

#SPJ11

To find the value of j - i, we need to determine the relationship between the surface areas (An) and volumes (Vn) of the unit ball in Rn for different positive integers n.

For the unit ball in Rn, the formula for surface area (An) and volume (Vn) are given by:

An = (2 * π^(n/2)) / Γ(n/2)

Vn = (π^(n/2)) / Γ((n/2) + 1)

where Γ denotes the gamma function.

To find the value of j - i, we need to identify the positive integers i and j such that Ai > Ak for all k not equal to i, and Vj > Vk for all k not equal to j.

First, let's analyze the relationship between An and Vn. By comparing the formulas, we can see that:

An / Vn = [(2 * π^(n/2)) / Γ(n/2)] / [(π^(n/2)) / Γ((n/2) + 1)]

      = 2 / [n * (n-1)]

From this equation, we can deduce that An / Vn > 1 if and only if 2 > n * (n-1).

To find the positive integer i, we need to identify the highest positive integer n for which 2 > n * (n-1) holds true. We can observe that this condition is satisfied for n = 2. Therefore, i = 2.

Now, let's find the positive integer j. We need to identify the lowest positive integer n for which 2 > n * (n-1) does not hold true. We can observe that this condition is no longer satisfied for n = 3. Therefore, j = 3.

Finally, we can calculate j - i as follows:

j - i = 3 - 2 = 1

Therefore, j - i equals 1.

To know more about integer visit-

brainly.com/question/32066988

#SPJ11

Answer:

The answer is D, -2. brainliest pls! :D

Step-by-step explanation:

-2*3=-6

-6+4=-2

-2*1/2=-1

-1=1/2x

1/2*-2=-1

-1=-1

The value of x such that it will make the given expression  (1/2)(3x+4)=(1/2)x true is x = - 2 therefore, option (D) will be correct.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given expression,

(1/2)(3x+4)=(1/2)x

(3/2)x + 4/2 = x/2

3x/2 + 2 = x/2

3x/2 - x/2 = -2

(3x - x)/2 = -2

2x = -4

x = -2

Hence "The value of x such that it will make the given expression  (1/2)(3x+4)=(1/2)x true".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

It is when it has factors and can be multiplied

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

To learn more about set ,

https://brainly.com/question/30368748

#SPJ4

Answer:

y = 2,000(0.94)x

Step-by-step explanation:

f(x)  =  P (1 + r) ^x  

P = 2000

r = -0.06

f(x)  =  2000 (1 - 0.06)^x

=  2000 (0.94)^x

Answer:

Function g(x)

Step-by-step explanation:

Given

See attachment for functions

Required

Which has an average rate of 3 over [1,3]

The average rate of change (m) is calculated as:

\(m = \frac{f(b) - f(a)}{b -a}\)

Where:

\([a,b] = [1,3]\)

So, we have:

\(m = \frac{f(3) - f(1)}{3 -1}\)

\(m = \frac{f(3) - f(1)}{2}\)

From the table f(x), we have:

\(f(3) = 6\\ f(1) = -2\)

So:

\(m = \frac{6 - -2}{2}\)

\(m = \frac{8}{2}\)

\(m =4\)

From the graph of g(x), we have:

\(g(3) = 4\\ g(1) = -2\)

So:

\(m = \frac{g(3) - g(1)}{2}\)

\(m = \frac{4 - -2}{2}\)

\(m = \frac{6}{2}\)

\(m =3\)

Since only one of the function has an average rate of change of 3 over the given interval,

Then g(x) answers the question

Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

Answer:

84

Step-by-step explanation:

\( {a} {}^{2} - 2ab + b ^{2} = (a - b) { }^{2} \)

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for the polar form of the given complex number

STEP 2: Complete the table by substituting and solving for the unknown

STEP 3: Complete the table

The distance from the center of dilation, P, to.the image vertice S' is; 6 units.

It follows from the task content that the center of dilation of the triangle QRS is point P and the length of segment PS in the pre-image is; 8 units.

Hence, since the dilation factor as given in the task content is; three-fourths, it therefore follows that the distance of point P to S' in the image is; (3/4) × 8 = 6units.

Read more on dilation;

https://brainly.com/question/10253650

#SPJ1

(-7, 2)

STEP - BY - STEP EXPLANATION

What to find?

The solution to the given the system of equations .

Given:

To solve the above system of equations, we will follow the steps below:

Step 1:

Multiply through equation (1) by 4

Step 2

Multiply through the second equation by 5.

Step 3

Using substitution method to solve.

Make x the subject of formular.

Step 4

Substitute equation(4) into equation (2).

Step 5

Open the parenthesis.

Step 6

Collect like term.

Step 7

Divide both-side of the equation by 15.

Step 8

Substitute y=2 into equation (4) to determine the value of x.

Hence, x =-7 and y=2.

Therefore, the solution in ordered pair is (-7, 2)

F

1) For variables like these, we most often use the mean that will compute all data points (in this case, the number of jobs a person had throughout his life ) for a central tendency measure.

2) Examining the options, then we can state that the answer is: F

and that is the answer.

The sample mean for the given sample data is 11.0.(rounded to one decimal place). The mean of the sample means is the average of all sample means taken from the population. It is an estimate of the population mean. The sample mean is calculated by taking the sum of all values in the sample and dividing it by the sample size.

Step 1: Calculate the sample mean for the given sample data. Round your answer to one decimal place.
To calculate the sample mean, follow these steps:
1. Add up the net changes in scores for all the students: 6 + 14 + 12 + 23 + 0 = 55
2. Divide the sum by the number of students (n=5): 55 ÷ 5 = 11
The sample mean for the net change in students' scores is 11.0 (rounded to one decimal place).

Learn more about sample mean here: brainly.com/question/15662511

#SPJ11

To find the expected number of drivers who used a cell phone while driving and received speeding violations, we can multiply the probabilities of each event occurring if A and B are statistically independent.

From the given information, we know that out of the 800 surveyed drivers with speeding violations, 70 had a speeding violation and 310 used a cell phone while driving.

If A and B are independent, the probability of a driver having a speeding violation and using a cell phone while driving is the product of the individual probabilities. The probability of having a speeding violation is 70/800 = 0.0875, and the probability of using a cell phone while driving is 310/800 = 0.3875.

Therefore, the expected number of drivers who used a cell phone while driving and received speeding violations can be calculated by multiplying the total number of drivers (800) by the product of the probabilities:

Expected number = 800 * (0.0875 * 0.3875) = 27.5

The expected number of drivers who used a cell phone while driving and received speeding violations is 27.5.

To know more about statistically click here: brainly.com/question/32201536

#SPJ11

Answer:

20%?

Step-by-step explanation:

From the diagram we can see:

Therefore, we can conclude that in every step the result is the square of the number of the step. So:

Answer:

187

Step-by-step explanation:

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4