Suppose that the space shuttle has three separate computer control systems: the main system and two backup duplicates of it. The first backup would monitor the main system and kick in if the main system failed. Similarly, the second backup would monitor the first. We can assume that a failure of one system is independent of a failure of another system, since the systems are separate. The probability of failure for any one system on any one mission is known to be 0.01.
a. Find the probability that the shuttle is left with no computer control system on a mission.

Answer: $1.50

Step-by-step explanation:

Cost price of watermelon = $1.25

Profit percent = 20%

Profit = Profit percent × Cost price

= 20% × $1.25

= 20/100 × $1.25

= 0.2 × $1.25

= $0.25

Selling price = Cost price + Profit

Selling price = $1.25 + $0.25

Selling price = $1.50

They should charge $1.50 for the watermelons

Answer:

72π (I think)

Step-by-step explanation:

Think of it in terms of the entire circle. A semi-circle is just half a circle, so the area of a semicircle will be half of the area of the entire circle. The radius of the semicircle is 6, so the radius of the whole circle is 12. Then, we can do \(\frac{pi*r^{2} }{2}\) to get the area of the semicircle is 72π. I'm pretty sure that's right. Let me know if I made a mistake somewhere.

The statements that are true are (a) b > 1, (c) The average rate of change from year 0 to year 5 is less than the average rate of change from year 10 to year 15. and (e) a > 0​

Exponential functions are those functions where the independent variable, x is in the exponent.

Given exponential function is,

f(t) = \(a . b^t\)

The exponential function can be written as,

f(t) = \(a(1+r)^t\), where r is the rate of increase or decrease.

So, b = 1+ r

It is given that the population is increasing, so rate is positive.

So b = 1 + r, is greater than 1.

Average rate of change of a function is the ratio change in function values to the change in t values.

Change in t is same as we are measuring over 5 years.

Since the function is increasing at a constant rate, the function values will also be outgoing a large increase as the time increases.

So the average rate of change from year 0 to year 5 is less than the average rate of change from year 10 to year 15.

a is the initial population of the deer when t = 0. This must be greater than 0.

Hence the options a, c and e are correct statements.

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Answer:

169

Step-by-step explanation:

Use a proportion:

72/85=x/200

Solve for x

(72)(200)=85x

x=(72)(200)/85

x=169.41≈ 169

She can make 169 of 200 free throws.

Answer:

B. -5/2

Step-by-step explanation:

(0, -7) and (-4, 3)

m = 3+7/-4-0

m = 10/-4

m = -10/4

m = -5/2

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

u can just test them out

Answer:

A. y = 2\((x - 2)^{2}\) + 5

Step-by-step explanation:

positive 2 because the parabola faces upwards, and + 5 because it's vertex is places at (2,5)

Answer:

Deon drove 270 miles.

Let x be the number of miles driven.

The total cost is 20.95 + 0.74x = 221.49

Subtracting 20.95 from both sides gives 0.74x = 200.54

Dividing both sides by 0.74 gives x = 270 miles

So the answer is 270

Answer:

271 miles

Step-by-step explanation:

The equation to find the total cost is

C = 20.95 + .74 m  where m is the number of miles

221.49 = 20.95 +.74m

Subtract 20.95 from each side

221.49 -20.95 = 20.95-20.95 +.74m

200.54 = .74m

Divide each side by .74

200.74/.74 = m

271 = m

Answer:

y=1

Step-by-step explanation:

Original Equation:

6y+11=17(Group like terms)

6y=17-11(You will subtract 11 from 17)

6y=6(You will then Divide Both Sides by 6)

Y=1( Leaving y with 1 because 6 will cancel each other out, and 6 divided by 6 is 1)

The given function f(x) = 2 cos (x) is an even function because the result of the cosine of negative angles are the same with those of positive angles.

To check if a function is odd or even, we have to calculate f(−x).

The function is even if f(-x) = f(x)

The function is odd if f(-x) = -f(x)

We are given the function as; f(x) = 2 cos (x)

f(-x) = 2 cos (-x)

Now, we know that the cosine of a negative angle always gives the same value as the cosine of the positive angle and as such, we can say that;

2 cos (-x) = 2cos (x)

The same result as f(x) which tells us that it is an even function

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If a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

In forensic science, the angle of impact is the angle at which a blood droplet strikes a surface. It has a range of 0 to 90 degrees and is, by definition, an acute (or right) angle.

Police can partially reconstruct a crime scene by connecting the "strings" that lead from the spatter to an origin area and knowing the angle of contact.

If a bloodstain has a tail or pattern, the angle of impact can be used to forecast how the subsequent bloodstain would look.

So, bloodstain pattern analysis examines the patterns of bloodstains found at crime scenes in an effort to piece together the sequence of events that led to the bloodshed.

Mathematically, we will have:

The angle of impact = sin⁻¹ (wide stain/length stain)

The angle of impact = sin⁻¹ (1.5/3.0)

The angle of impact = 30°

Therefore, if a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

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Answer:

20+20+(circumference of a semi circle)

40+(1/2×2πr)

49+36

= 85mm

Answer:

The solutions are,

x=0 and x= 5

(I don't know if you have to write both of these or only one, sorry)

Step-by-step explanation:

\(x^2-3x+6=2x+6\\solving,\\x^2-3x-2x+6-6=0\\x^2-5x+0=0\\x^2-5x=0\\x(x-5)=0\\\\x=0, x-5=0\\x=0,x=5\)

So, the solutions are,

x=0 and x= 5

Answer:

28 and 12t

Step-by-step explanation:

4 x 7

4 x 3t

Answer:

28+12t

Step-by-step explanation:

Simplify the expression :)

btw you spelled please wrong

A two point charges are held in place along with equation of the x-axis:

1.E1x = (k × (-27Q0)) / (-5a)²

2.E1y = 0

3.E2x = (k ×(55Q0)) / (9a)²

4.E2y = 0

5.E= √((E1x + E2x)²)

6.F3x = (k ×(-27Q0) × (+115Q0)) / (-5a)²

7.F3x = (k × (-27Q0) × (-115Q0)) / (-5a)²

To determine the electric field at point P, we need to consider the contributions from both point charges Q1 and Q2.

The x-component of the electric field from Q1 at point P can be calculated using Coulomb's law:

E1x = (k × Q1) / r1²

Here, k represents the electrostatic constant, Q1 is the charge of Q1, and r1 is the distance between Q1 and point P along the x-axis.

Given that Q1 = -27Q0 and the distance between Q1 and point P is x1 = -5a, we can substitute these values into the formula:

E1x = (k × (-27Q0)) / (-5a)²

The y-component of the electric field from Q1 at point P is zero since Q1 is located on the x-axis.

E1y = 0

The x-component of the electric field from Q2 at point P can also be calculated using Coulomb's law:

E2x = (k × Q2) / r2²

Here, Q2 = +55Q0 and the distance between Q2 and point P is x2 = 9a:

E2x = (k × (55Q0)) / (9a)²

The y-component of the electric field from Q2 at point P is also zero since Q2 is located on the x-axis.

E2y = 0

To calculate the magnitude of the net electric field at point P, we can use the Pythagorean theorem:

E = √((E1x + E2x)² + (E1y + E2y)²)

Since E1y and E2y are both zero, the equation simplifies to:

E = √((E1x + E2x)²)

If we place another point charge q3 = +115Q0 at point P, the x-component of the net force on it can be calculated using Coulomb's law:

F3x = (k × Q1 × q3) / r1

Here, Q1 = -27Q0 and q3 = +115Q0, and the distance between Q1 and point P is x1 = -5a:

F3x = (k × (-27Q0) × (+115Q0)) / (-5a)²

If the sign of q3 is changed to q3 = -115Q0, the x-component of the net force on it can be calculated as:

F3x = (k × Q1 ×q3) / r1²

Here, Q1 = -27Q0 and q3 = -115Q0, and the distance between Q1 and point P is x1 = -5a:

F3x = (k ×(-27Q0) ×(-115Q0)) / (-5a)²

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The difference between AIC and BIC penalty lies in their approach to model selection.

AIC (Akaike Information Criterion) is a measure of the goodness of fit of a statistical model. It is used to compare different models and select the one that fits the data best. AIC is based on the principle of maximum likelihood, which means it is more focused on finding the model that fits the data best.

On the other hand, BIC (Bayesian Information Criterion) is a criterion for model selection based on the Bayesian approach. It is also used to compare different models, but it takes into account the complexity of the model. BIC tends to favor simpler models, and it is more focused on finding the model that is most likely to be true given the data.

In summary, AIC is more focused on finding the model that fits the data best, while BIC is more focused on finding the model that is most likely to be true given the data.

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Send your request via email on the company mail, include your name, employee ID number, and the W2 you are asking for the particular year.

For more than a century, Walgreens has operated on the same set of values: Honesty, Trust, and Integrity with Our Customers, Our Shareholders, Our Suppliers, The Communities We Serve, and Among Ourselves.

Quality via dependable and consistent advice, goods, and services at all points of contact and through all channels.

kind, sensitive, and motivated to provide excellent service and a positive patient and customer experience in order to achieve healthy outcomes.

via service, knowledge, and the personal engagement of each member of the Walgreen team, a strong commitment to and presence in the community.

All products under the Walgreens brand come with a 100% satisfaction guarantee! Return the unused amount if you're not entirely happy, and we'll refund the entire purchase price.

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Answer:

1.4

Step-by-step explanation:

We need to convert 103/7497 into a percentage.

All we have to do is multiply the fraction by 100:

103/7497 * 100 = 1.37

To one decimal place, the equivalent fraction is 1.4

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Answer:

the answer might be -23 I think but I would I advise to wait until another person answer this question

Answer:

The first expression is a Trinomial and the second expression is a Binomial

The area between the graph of the function and the x-axis on the interval [-2,2] is -1.

The function is defined as follows:

f(x) = -5/2, x ∈ [-2,0)

f(x) = 2, x ∈ [0,2]

The graph of the function is a horizontal line at y = -5/2 on the interval [-2,0) and a horizontal line at y = 2 on the interval (0,2].

To find the area between the graph of the function and the x-axis, we need to split the interval into two parts: [-2,0) and (0,2].

On the interval [-2,0), the area is a rectangle with base length 2 and height -5/2. Therefore, the area is:

\(A1 = base * height\)= 2 * (-5/2) = -5

On the interval (0,2], the area is a rectangle with base length 2 and height 2. Therefore, the area is:

A2 = base * height = 2 * 2 = 4

The total area between the graph of the function and the x-axis is the sum of A1 and A2:

A = A1 + A2 = -5 + 4 = -1

Therefore, the area between the graph of the function and the x-axis on the interval [-2,2] is -1.

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Answer:

33

Step-by-step explanation:

.6 * 55 = 33

Answer:

$33

Step-by-step explanation:

Cross multiply 60/100=x/55

=>60(55)=100x

=>3300=100x

divide both sides by 100 to get x by itself=> 33=x

Answer:  the equation of the tangent plane to the parametric surface at the point (2, 0) is:

4x - 48z = 8

Explanation:

To find the equation of the tangent plane to the parametric surface at the specified point, we need to determine the normal vector to the surface at that point.

Given the parametric surface:

r(u, v) = u^2 i + 6u sin(v) j + u cos(v) k

We can compute the partial derivatives with respect to u and v:

r_u = 2u i + 6 sin(v) j + cos(v) k

r_v = 6u cos(v) j - 6u sin(v) k

Now, substitute the values u = 2 and v = 0 into these partial derivatives:

r_u(2, 0) = 4i + 0j + 1k = 4i + k

r_v(2, 0) = 12j - 0k = 12j

The cross product of these two vectors will give us the normal vector to the tangent plane:

n = r_u × r_v = (4i + k) × 12j = -48k

Now we have the normal vector to the tangent plane, and we can use it to find the equation of the plane. The equation of a plane can be written as:

Ax + By + Cz = D

Substituting the values of the point (2, 0) into the equation, we have:

4x + 0y - 48z = D

To find the value of D, we substitute the coordinates of the point (2, 0) into the equation:

4(2) + 0(0) - 48(0) = D

8 = D

Therefore, the equation of the tangent plane to the parametric surface at the point (2, 0) is:

4x - 48z = 8

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Answer: x-6, x+3, x-3

Step-by-step explanation;

Split the equation into two.

x2(x-6)-9(x-6)

(x-6) is seen as one of the tiles. Now work on x2-9

x2-9 is a difference of squares meaning the last two are (x+3) and (x-3).

Given:

The graph of a piecewise function.

To find:

The value of h(3).

Solution:

We have, the graph of a piecewise function h(x).

The function is divided into two pieces. One is over the interval \(-4\leq x<1\) and another one is over the interval \(-1\leq x\leq 4\).

From the given graph it is clear that the function passes through the point (3,1). It means the values of the function is 1 at x=3.

\(h(x)=1\) at x=3.

\(h(3)=1\)

The value of h(3) is 1.

Therefore, the correct option is C.

Answer:

tis c

Step-by-step explanation:

Answer:

с)y^2=32x

Step-by-step explanation:

Answer and Step-by-step explanation:

The computation of the class width for a frequency is shown below:

Class width is

\(= \frac{Range}{Number\ of\ class} \\\\ = \frac{96 - 20}{7}\)

= 10.86

= 11

Now the class limits for a frequency table

Particulars      Lower class limit to upper class limit

First class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

The class width for a frequency table with seven classes is 10.86.

The class limits for a frequency table with seven classes are;

Particulars      Lower class limit to upper class limit

First-class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

A data set with whole numbers has a low value of 20 and a high value of 96.

1. The class width for a frequency table with seven classes is;

\(\rm Frequency = \dfrac{Highest \ term - lowest\ term }{Class}\\\\ Frequency = \dfrac{96-20}{7}\\\\ Frequency = \dfrac{76}{7}\\\\ Frequency =10.86\)

The class width for a frequency table with seven classes is 10.86.

2. The class limits for a frequency table with seven classes are;

Particulars      Lower class limit to upper class limit

First-class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

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Answer:

Step-by-step explanation:

I have no idea

Answer:

44

Step-by-step explanation:

2 x 2 = 4 which is the inner area without carpet.

12 x 4= 48 is the total area including the inner area

48-4=44 which is the area with carpet