5) The solution to 7X2 + 2X – 1 = 0 can be written as:

Answer:

8

Step-by-step explanation:

Given that :

Number of activities = 4

Standard deviation of each activity = 4

Standard deviation of the critical path =?

To obtain the standard deviation of the critical path :

Take the square of each standard deviation:

Activity 1 = 4² = 16; activity 2 = 4² = 16 ; activity 3 = 4² = 16 ; activity 4 = 4² = 16

Sum of the squares :

16 + 16 + 16 + 16 = 64

Square root of the sum:

√64 = 8

The sampling distribution of the difference between the two-sample means, X1 - X2, can be characterized by the following properties:

1. Expected value (mean):

  E(X1 - X2) = E(X1) - E(X2) = mu1 - mu2

  The expected value of the difference is equal to the difference of the means of the two populations.

2. Variance:

  V(X1 - X2) = V(X1) + V(X2)

  Since X1 and X2 are independent, the variance of their difference is equal to the sum of their individual variances.

(b) Given the information provided:

For X1:

Mean (mu1) = 29.8

Standard deviation (sigma1) = 4

For X2:

Mean (mu2) = 34.7

Standard deviation (sigma2) = 5

Sample size for X1 (n1) = 20

Sample size for X2 (n2) = 20

To find the sampling distribution of X1 - X2:

Expected value (mean):

E(X1 - X2) = mu1 - mu2 = 29.8 - 34.7 = -4.9

Variance:

V(X1 - X2) = V(X1) + V(X2) = (sigma1^2 / n1) + (sigma2^2 / n2)

          = (4^2 / 20) + (5^2 / 20)

          = 16/20 + 25/20

          = 41/20

          = 2.05

Therefore, the sampling distribution of X1 - X2 has an expected value (mean) of -4.9 and a variance of 2.05.

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Answer:

a. $0.13 / Ib.

Step-by-step explanation:

Slope of a line:

Suppose we have two data-points in a line. The slope is given by the change in the output divided by the change in the output.

In this question:

Input: weight(in pounds)

Output: Weekly cost to feed.

A hamster weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed.

Inputs: 0.5, 62.5

Outputs: 2, 10

Change in the outputs: 10 - 2 = 8

Change in the inputs: 62.5 - 0.5 = 62

Slope: \(m = \frac{8}{62} = 0.13\)

So the correct answer is given by option A.

Answer:

0.13

Step-by-step explanation:

The standard deviation of the difference in means is (-1.96, 1.96).  There is no significant difference between coverage speed at 95%

The speed characteristics are given as_

\($$ \begin{aligned}\bar{x}_1 & =35.5 & \bar{x}_2 & =38.7 \\\sigma_1 & =7.5 & \sigma_2 & =7.4 \\n_1 & =250 & n_2 & =280\end{aligned}$$\)

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero.

So

\($$\begin{aligned}z=\frac{\overline{x_1}-\bar{x}_2}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}} & =\frac{35.5-38.7}{\sqrt{\frac{(7.5)^2}{250}+\frac{(7.4)^2}{280}}} \\& =\frac{-3.2}{\sqrt{0.225+0.1956}} \\& =\frac{-3.2}{0.64852} \\\z & =-4.9343\end{aligned}$$\)

at 95% confidence acceptance region is: \($$(-1.96,1.96)\)

But \($z \notin(-1.96,1.96)$\)

So, there is no significant difference between coverage speed at 95%.

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The standard deviation of the difference in means is 0.4696 and acceptance region is (-1.96 , 1.96). So, there was no significant difference between the average speed sample data at the 95% confidence level.

Speed data was collected on a section of road during and after repair work. Now the significance level for mean rate = 95% = 0.95 The equation for the standard deviation of the mean difference is:

σd = √(σ₁²/n₁ + σ₂²/n₂).

For the first data sample,

Sample mean for average velocity, X₁

= 35.5 mph

sample size, n₁ = 250

standard deviation, σ₁ = 2.5 mph

sample seconds, sample mean for

average velocity, X₂ = 38.7 mph

sample size, n₂ = 280

standard deviation, σ₂ = 7.4 mph.

It is statistically significant to see if there is a difference between the two population means. Using the two sample Z =( X₁-bar - X₂-bar )/√(σ₁²/n₁) + (σ₂²/n₂)}

Substituting all known values,

Z = ( 35.5 - 38.

7 )/(2,5)²/250 + (7,4)²/280

=> Z = - 3,2/√0,025 + 0.1956

=> Z = -3.2/0.4696

=> Z = - 6.8832

95% confidence interval, tolerance range is (-1.96, 1.96). However, Z∉(-1.96 , 1.96)

So, there is no signification difference for means between avaerage speed at 95%.

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Complete question :

Speed data were collected at a section of highway during and after utility maintenance work: The speed characteristics are given as, and as shown below. Determine whether there was any significant difference between the average speed at the 95% confidence level (Z=1.96). The standard deviation of the difference in means is given as σd = √(σ₁²/n₁ + σ₂²/n₂). DATA: uav₁= 35.5 mph, uav₂= 38.7 mph ,σ₁ = 2.5 mph, σ₂= 7.4 mph n₁ = 250, n₂ = 280

Answer:

If it is a fair die then it should have 6 faces, each one having a number 1-6. The probability of landing on a single number is 1/6. Because the die is fair there should be an equal probability of landing on a number 1-6 giving you a probability of 1/6. However, if the number of times rolled is changed, then the answer would be multiplied or added (depending on the question).

The volume of liquid contained by cone is 105 inches cube.

What is volume?

It can be defined as the total content which can be held inside a container.

Main body:

the volume of a cone = \(\frac{1}{3}\pi r^{2} h\)  , where r = radius and h = height of cone

diameter = 10 , so radius = d/2 = 5 inches

V = \(\frac{1}{3}\pi 5*5*4\)

V = 3.14 *5*5*4*1/3

v≈105 inches cube

Hence the volume is 105 inches cube.

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there's only one beer left rappers screaming all in our ears like we're deaf its on me putit on my tab kid however you get there for the tablet iron force it you leave it on your face forfeit faucet like the heat he might toss it

Answer:

( 1 , -3 ) for every +1 on the x line you go -3 on the y I hope this is what you need

The reconciliation for Bane can be summarized as,

Adjusted bank balance = $1380.

A bank reconciliation is defined as a method which is used to match the balances for a cash account in an organization's records of accounting with the bank statement.

Given that,

Beginning checkbook balance is $1400.

Service charge = $20

Adjusted balance = $1400 - $20 = $1380

Also, given that,

Ending balance on the statement = $1480

Deposit in transit = $200

Checks outstanding = $300

Adjusted balance = $1480 + 200 - 300

                              = $1380

Hence the adjusted balance is $1380.

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The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Your slope would be 4

Answer B is correct.

Answer:

Step-by-step explanation:

To find the direction of minimum rate of change for the function f(x, y) = x² + xy + y² at the point (5, 2), we need to find the gradient vector (also known as the gradient or the vector of partial derivatives) and then find the direction orthogonal to the gradient vector, as this direction will have the minimum rate of change.

First, let's find the gradient vector by computing the partial derivatives of f(x, y) with respect to x and y:

∂f/∂x = 2x + y

∂f/∂y = x + 2y

Now, evaluate the gradient vector at the point (5, 2):

∇f(5, 2) = (2(5) + 2, 5 + 2(2)) = (12, 9)

The gradient vector is (12, 9). To find the direction orthogonal to the gradient vector, we can swap the x and y components and negate one of them. Since the question asks for a vector with an x-component of 1, 0, or -1, we'll negate the x-component:

Orthogonal vector = (-1, 12)

So, the direction of minimum rate of change at point (5, 2) is given by the vector [-1, 12].

Heather's account balance will be approximately $1,340.55 after 7 years if the interest is compounded 6 times each year.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the account balance after a certain amount of time

P is the principal or initial amount invested

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time period in years

Given tha data in the question;

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year.

Substituting these values into the formula solve for accrued amount, we get:

A = P(1 + r/n)^(nt)

A = 1,050(1 + 0.035/6)^(6 × 7)

A = 1,050(1 + 0.005833333333333)⁴²

A = 1,050(1.005833333333333333)⁴²

A = $1,340.55

Therefore, the accrued amount is $1,340.55.

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The Venn Diagram for these given sets is graphed at the end of the answer.

A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.

For this problem, we have that:

The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.

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Answer:

Step-by-step explanation:

Answer:

C = 4

Step-by-step explanation:

solution:

f(x) can be differentiated on (0,16)

By mean value theorem

= f(16) = 4

= f(0) = 0

= f(b) - f(a)/b - a

= f(4) - f(0)/ f(16) - f(0)

= f'(c) = 1/2√C

= 1/2√C = 4/16

= 1/2√C = 1/4

= 4 = 2√C

= √C = 4/2

we make c the subject of the formula and also eliminate the square root

= √C = 2

= C = 2²

= C = 4

The probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121

The distribution of the puppies is given as:

4 ​poodles, 5 ​terriers, and 2 retrievers

The probability of selecting a terrier is;

P(terrier) = 5/11

The probability of selecting a retriever is;

P(retriever) = 2/11

The required probability is

P = 5/11 * 2/11

Evaluate

P = 10/121

Hence, the probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121

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Answer:

The 5 bags of pretzels.

Step-by-step explanation:

Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00

Answer:

The second option

Step-by-step explanation:

In order to find the unit price of each, consider the quotient of amount of money per bag:

Case 1:

$4/ 1 bag

Case2:

$12 / 5 bags = $2.4 / 1 bag

Therefore, the second option is the one with lower unit price.

The measure of the angle which is twice it's complementary angle are 30° and 60°.

Let the angle be x. As we know, the sum of complementary angles is 90°. So, forming the equation and solving accordingly.

x + 2x = 90

Performing addition on Left Hand Side of the equation

3x = 90

x = 90/3

Performing division on Right Hand Side of the equation

x = 30°

One angle = 30°

Second angle = 2×30

Performing multiplication on Right Hand Side of the equation to calculate the second angle.

Second angle = 60°

So, one angle is 30° and the other angle is 60°.

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Answer:

did you find out the answer

Step-by-step explanation:

The Probability that a dart will hit a spot in the shaded circle is 25%.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Here,

Area of Circle = πr²

radius of bigger circle = 6 cm

Area of bigger Circle = π X 6²

                                   = 36π sq. cm

radius of smaller circle = 3 cm

Area of small circle = π X 3²

                                =  9π sq. cm

Probability = Small circle / bigger circle

                  = 9π / 36π

                  = 1/4

                  = 0.25 or 25%

Thus, the Probability that a dart will hit a spot in the shaded circle is 25%.

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Answer:

6

Step-by-step explanation:

Speed = Distance/time

Therefore time must = distance/speed

Since the two students are running apart from eachother, we can add their speeds together.

Also we can subtract 10 feet from our goal of 1870 since they're already 10 feet apart.

1860 feet/(150+1650) feet per minute

We can cancel out the feet since it's a common term.

And we're left with 6 minutes.

The  time before they are 1870 feet apart is mathematically given as

X=6min

Question Parameters:

Two old RSM students were standing 10 feet apart

at the speeds of 150 feet per minute

they are 1870

feet apart

Generally, the time they are apart is mathematically given as

X=final distance apart/speeds of run

Therefore

X=1870/(150+160)

X=6min

In conclusion,time before they are 1870 feet apart

X=6min

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Answer:

I think D. but I'm not sure

Answer:

39x + 7x + 15y

because there is no difference between 39x + 15y + 7x.

Step-by-step explanation:

39x + 15y + 7x is equivalent to

39 + 7x + 15y

Answer:

B, 835 people

Step-by-step explanation:

divide 30 by 2 to get 15

multiple 15 by 55 to get 825

Step-by-step explanation:

I believe the answer is A and B

The graph of the system of inequalities:

3x + y > 1

y < x + 2

Is on the image at the end.

We want to find the graph for the system of inequalities below:

3x + y > 1

y < x + 2

We can write both of these as lines in the slope intercept way, we will get:

y > -3x + 1

y < x + 2

So we need to graph these two lines with dashed lines (because the points on the lines aren't solutions) and then:

Shade the region above the first line (y = -3x + 1) and the region below the second line (y = x + 2)

The graph of the system of inequalities is the one below.

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The blue curve represents y = x³ and the red curve represents y = -x³.in the attached image.

What are the quadrants?

The quadrant refers to one of the four regions in a two-dimensional coordinate system, formed by two perpendicular lines that intersect at their common origin, or point of intersection.

a graph of y = x³ and y = -x³ on the same axes:

We can see the graph of equations y = x³ and y = -x³ in the attached image.

The blue curve represents y = x³ and the red curve represents y = -x³.

They are symmetric about the origin, and the blue curve is in the first and third quadrants while the red curve is in the second and fourth quadrants.

Hence, The blue curve represents y = x³ and the red curve represents y = -x³.in the attached image.

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