5. The time for a certain female student to commute to SCSU is Normally Distributed with mean 46.3 minutes and standard deviation of 7.7 minutes. a. Find the probability her commuting time is less tha

It sounds like you may be experiencing a bug with your Alexa device. This is likely due to a software update or miscommunication between the device and the server.

To resolve this issue, you may need to restart your device by unplugging it from the power source and plugging it back in. You can also try clearing the cache of your device. Additionally, you may need to update the software of your device by visiting the Amazon website and downloading the most recent version of the software. If the issue persists, you may need to contact Amazon customer service for further assistance.

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The angle between the vector (3 - √2)i + 3j and the positive x-axis can be determined using trigonometry.

To find the angle between the vector and the positive x-axis, we can use the arctan function. The angle can be calculated by taking the arctan of the y-component divided by the x-component of the vector.

In this case, the vector is given as (3 - √2)i + 3j. The x-component is 3 - √2, and the y-component is 3. Using the arctan function, we can calculate the angle as arctan(3 / (3 - √2)).

By substituting the values into a calculator or using trigonometric identities, we can find the angle. It is important to note that the arctan function returns an angle in radians. If we want the result in degrees, we can convert it by multiplying the result by 180/π.

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Answer:

The term, "variability" describes how far apart data points lie from each other, and from the center of a distribution.

Along with measures of central tendency, measures of variability give you descriptive statistics that summarize your data.

Variability is also referred to as spread, scatter or dispersion.

Example:

The heights of students at Brainly varied from 4 feet and 6 inches tall to 6 feet and 3 inches tall. It varies 1 foot and 9 inches.

The mean and standard deviation of the Poisson distribution are μ = 9.0 and σ = 3.0.

In a Poisson distribution, the mean and standard deviation are equal to the parameter λ. Therefore, in this case, μ = σ = λ = 9.0.

The formula for the mean and standard deviation of a Poisson distribution are:

Mean (μ) = λ

Standard Deviation (σ) = √λ

Substituting λ = 9.0, we get:

μ = 9.0

σ = √9.0 = 3.0

Therefore, the mean and standard deviation of the Poisson distribution are μ = 9.0 and σ = 3.0.

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the correct answer is b. (29 4), which represents the number of ways to select 4 leaders from the remaining 29 students after Natasha is already chosen as one of the leaders.

In this scenario, Natasha is already one of the leaders, so we need to select the remaining 3 leaders from the remaining 29 students. We can use the combination formula (n-1)C(r-1) to calculate the number of ways to choose the leaders.

Using the given options, we can determine the correct choice:

a. (30 4): This option represents selecting 4 leaders from the entire class of 30 students, not accounting for Natasha being one of the leaders.

b. (29 4): This option represents selecting 4 leaders from the remaining 29 students after Natasha is already chosen. This is the correct choice.

c. (30 3): This option represents selecting 3 leaders from the entire class of 30 students, not accounting for Natasha being one of the leaders.

d. (29 3): This option represents selecting 3 leaders from the remaining 29 students after Natasha is already chosen.

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Answer:

$7.00

Step-by-step explanation:

Answer:

$7.00

Step-by-step explanation:

$5.60/4 = $1.40

$1.40 x 5 = $7.00

Have a nice day

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

x = - 10

Step-by-step explanation:

2(x + 3) = x - 4

2x + 6 = x - 4

2x - x = - 4 - 6

x = - 10

Answer:

option 4

Step-by-step explanation:

Given Equation :-

=> -4| x + 9 | = -8

To FinD :-

=> Solution of the equation .

Solving it :-

=> -4| x + 9 | = -8

=> | x + 9 | = -8/-4

=> |x + 9| = 2

=> ( | x + 9 | )² = 2²

=> x + 9 = ±2

=> x = -9 +2 , -9-2

=> x = - 7 , -11

Option 4 is correct.

Answer:

x = - 7 , - 11

Step-by-step explanation:

\(-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7\)

ANSWER

EXPLANATION

We want to find the total amount of chocolates that was eaten by Margie and her dad.

To do this, we have to find the sum of the amount she ate and the amount her dad ate.

That is:

That is the answer.

The marginal product of the first worker is 300 units. This is because the output increases from 0 units to 300 units from adding the first worker.

This is derived by subtracting the first worker's output (300 units) from the output of no workers (0 units). The output that one more worker would bring to the overall output of a certain industrial process is known as the marginal product.

The marginal product of the first worker in this instance is 300 units, which are added to the output. The output of the second worker (500 units) differs from the output of the first worker by 500 units, which is the marginal product of the next worker (300 units).

To determine the marginal products of the third and fourth workers, simply repeat the process.

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Answer:

Step-by-step explanation:

thats what someone told me

Answer: 25 or 40 i mostly think its 25

Step-by-step explanation:

You go shopping with a total of 60 quarters-

The amount in dollars left is: $3.75

We know that initially, you had a total of 50 quarters, this will represent the 100% in this case.

50 = 100%

Then you find 20% more quarters.

We can write:

x = 20%

Taking the quotient between the two equations we et:

50/x = 100%/20%

50 = (5)*x

50/5 = x = 10

The 20% is 10 quarters more, then you go shopping with a total of 60 quarters.

Then you spend the 75% of the total, then you onle end up with the 25% of what you bring, then at the end you have:

60*0.25 = 15 quarters.

Then the amount in dollars left is:

15*$0.25 = $3.75

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Answer:

5 is the slope

(0,2) is the y intercept

Step-by-step explanation:

The equation y = 5x + 2 appears to be written in the y = mx + b form of a linear equation.

m represents slope and b represents the y value of the y intercept.

Here, m = 5 and b = 2.

This means 5 is the slope and (0,2) is the y intercept.

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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We can prove that if a and b are positive integers, then there is a smallest positive integer of the form a − bk, where k ∈ z. Let x = a − bk be a positive integer, where k ∈ z.

Assume that x is not the smallest such positive integer, so there exists a y < x that can be expressed as a − bm, where m ∈ z. We can then express y as y = a − bm = a − b(k + (m − k)).

We know that m - k is an integer, and since b > 0, this means that a − b(k + (m − k)) < a − bk, which is a contradiction, since we assumed that x was the smallest such positive integer. Therefore, x must be the smallest positive integer of the form a − bk, where k ∈ z.

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Answer:

$63.90

Step-by-step explanation:

cost = $639

markup = 10%

cost * markup = $63.90

Answer:

a direct variation is a relation that is of the form y = mx

a partial variation is is a relation that is of the form y = mx+b

Answer:

Step-by-step explanation:Let's solve for c.

x2+10x+c=−3+c

Step 1: Add -c to both sides.

x2+c+10x+−c=c−3+−c

x2+10x=−3

Step 2: Add -x^2 to both sides.

x2+10x+−x2=−3+−x2

10x=−x2−3

Step 3: Add -10x to both sides.

10x+−10x=−x2−3+−10x

0=−x2−10x−3

Step 4: Divide both sides by 0.

0

0

=

−x2−10x−3

0

c=

−x2−10x−3

0

Answer:

c=

−x2−10x−3/0

hope it helps :D

There ought to be infinitely many solutions.

How many solutions can a system of 3 linear equations with 5 variables have?

There are infinitely many solutions. Assuming the 3 linear equations are linearly independent you have 2 free variables that can be chosen freely and depending on those two values you can find the 3 remaining variables as function of those two so for any choice of those two variables you can find a solution. If the equations are not linearly independent you have effectively only 1 or two equations so you can pick 4 or 3 variables freely and then the remaining variable or variables are function of these.

How do you solve a system of equations with 3 variables?
Simultaneous equations. Easy, if they are all linear. Possibly difficult otherwise. Basically pick 1 variable and 1 equation to rearrange so that variable is expressed in terms if the other 2. Then simplify. Now you have 2 equations in 2 variables. Repeat with the remaining 2 variables. When you have solved for the last variable, you can then substitute to solve for the second last. Then backtrack to the original substitution and solve that. General advice that works even for nonlinear equations.

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47.5% between 38 and 52 requests for new lightbulbs have been made.

Given,

The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs.

The mean of the distribution, μ = 52

Standard deviation, σ = 7

We have to find the  approximate percentage of lightbulb replacement requests numbering between 38 and 52 using empirical rule;

Here,

z score corresponding to 38 and 52

z score = (x - μ) / σ = (38 - 52) / 7 = -2

Now,

z score corresponding to 52

z score = 52 -52 / 7 = 0/7 = 0

We are aware that, in accordance with the empirical rule, 68% of the data are within one standard deviation of the mean and 95% are within two.

By comparing the z-scores of data point 38 and 52, we can observe that data point 38 is at the mean. 38 is therefore -2 standard deviations above the mean. That is -2σ to 2σ

The center of the normal distribution curve is known to be the mean. Therefore, we will divide 95% by 2 to obtain the percentage of data points 2 SD above the mean.

95/2 = 47.5%

As a result, 47.5% between 38 and 52 requests for new lightbulbs have been made.

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Answer:

4

Step-by-step explanation:

The volume of 10% solution will be 6 l and 9 litre of the 30 % solution will be taken.

Volume is the space occupied by a three dimensional object .

The concentration of solution required is 22% acid

The concentration of solution available is 10% and 30%

The total volume required is 15 liters

The formula for making a mixture is

Concentration = ( m₁x₁ +m₂x₂) / (x₁+x₂)

22 = (10 * x + 30 *(15 -x))/( 15)

10 x + 450 - 30x =330

-20x = -120

x = 6

The volume of 10% solution will be 6 l

and 9 litre of the 30 % solution will be taken.

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Answer:

red - 1/6, green 1/2

Step-by-step explanation:

There is a 1/6 chance that you will pick a red marble because out of the 6 there is 1 red marble

There is a 1/2 or 3/6 chance that you will pick a green marble because out of the 6 there are 3 green marbles

If this is right may I get a Brainiest? Have a good day!

A country with little land and few natural resources could make up for such deficits without depending on other countries and having a healthy economy by developing its Human Capital.

Examples of small countries with low natural resources and high GDP are:

It is to be noted that of all the factors of production, (Land, labor, Capital, and Entrepreneurship) Human Capital (Labor and Entrepreneurship) are the most valuable and yield the greatest return on investment.

The Democratic Republic of the Congo is commonly regarded as the world's richest country in terms of natural resources; its undiscovered stockpiles of raw minerals are estimated to be worth more than US $24 trillion.

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Answer:

Step-by-step explanation:

First look at the tangent function f(x) = tan x.  Its domain is restricted:  (-pi/2, pi/2).  There are no restrictions on the function value, so the range is (-infinity, +infinity).  The primary interval on which tan x is defined is (-pi/2, +pi/2, which has length pi.

In comparison, the domain of f(x) = tan 2x is only half as long as that of f(x) = tan x:  (-pi/4, +pi/4), with length pi/2.

Now, focusing on f(x) = 3cot(2x):  the range is the same:  (-infinity, +infinity).  The period is half that of tan x:  pi/2 instead of pi.  Remember that the cotangent function repeats itself every pi/2 radians.

Domain:  (-pi/4, +pi/4) (centered on the origin), (-3pi/4. 3pi/4), and so on, continuing to both the left and the right.

Range:  (-infinity, infinity)

Answer:

13.7 units

Step-by-step explanation:

Hi there!

The dotted lines and the hypotenuse of the green triangle create a new right triangle, with one of its acute angles measuring 17 degrees and its hypotenuse measuring 47 units.

Given this information and that we must solve for the side opposite the given angle, we can use the sine ratio:

\(sin\theta=\frac{opposite}{hypotenuse}\)

Plug in known information

\(sin17=\frac{x}{47}\\47*sin17=x\\13.7=x\)

Therefore, the value of x when rounded to the nearest tenth is 13.7 units.

I hope this helps!