Uppose thataandbare mutually exclusive events for whichp(a) = 0.3,p(b) = 0.5. what is theprobability of eitheraorboccurs?

Magnitude of the resultant vector = 31.3 lb and  Angle of the resultant vector = 23.3o are  the magnitude of the resultant force and the angle .

what is magnitude of forces?

a = 26 lb

Angle made by the vector 'a' = θ1 = 45o

Component of vector 'a' in the X-direction = ax = aCosθ1 = (26)Cos(45) = 18.38 lb

Component of vector 'a' in the Y-direction = ay = aSinθ1 = (26)Sin(45) = 18.38 lb

b = 12 lb

Angle made by the vector 'b' = θ2 = 30o

Component of vector 'b' in the X-direction = bx = bCosθ2 = (12)Cos(30) = 10.39 lb

Component of vector 'b' in the Y-direction = by = -bSinθ2 = -(12)Sin(30) = -6 lb

Let the resultant vector be 'c'

Component of vector 'c' in the X-direction = cx

cx = ax + bx

cx = 18.38 + 10.39

cx = 28.77 lb

Component of vector 'c' in the Y-direction = cy

cy = ay + by

cy = 18.38 + (-6)

cy = 12.38 lb

c=104)2 + (cy)

c= (28.77)2 + (12.38)2

c = 31.3 lb

Angle made by vector 'c' = θ

Tanθ =

Tanθ = 12.38 28.77

θ = 23.3o

a) Magnitude of the resultant vector = 31.3 lb

b) Angle of the resultant vector = 23.3o

Learn more about magnitude

brainly.com/question/18485448

#SPJ4

THE COMPLETE QUESTION IS  -

Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a = 26 lb and b = 12 lb. Round your answers to one decimal place.)

By using subtraction, Brenda needs an additional amount of $ 182.75 for the school trip.

In this question we notice that Brenda is aware of how much money she needs to make her school trip and besides we find a table with all the money saved during a 4-month period. Lastly, we must determine if the amount of money saved by Brenda is sufficient or not.

The money needed for the school trip is:

y = $ 197 + $ 230 + $ 85

y = $ 512

And the money saved by Brenda is:

x = $ 67 + $ 30.50 + $ 160 + $ 71.75

x = $ 329.25

Then, the additional money needed for Brenda is found by subtacting the second result from the first result:

z = y - x

z = $ 512 - $ 329.25

z = $ 182.75

Brenda needs an additional amount of $ 182.75 for the school trip.

To learn more on subtraction: https://brainly.com/question/1927340

#SPJ1

Answer:

i think 15.84 is right

Step-by-step explanation:

bcz Ian all there is 99 4/5 paper towels and tere were 5 rolls. so, to calculate meters of each roll of paper towels we should divide the given value by 5

99 4/5 /5

This shows that a reasonable domain for this function is x > -5/6

The domain of a function is a value of the independent variable of the function for which it exists.

Given the equation below:

f(x) = 12x + 10

Since the function represents the expression used calculate a person's daily paycheck, then the function f(x) must be greater than zero;

12x + 10 > 0

12x > -10
x > -10/12
x > -5/6

This shows that a reasonable domain for this function is x > -5/6

Learn more on domain of a function here: https://brainly.com/question/26098895

#SPJ1

6(11) = 2 x 3 x 11

Its factors are =1 ,2 ,3 , 6, 11, 22, 33 66

2.3 = 2 x 3

Its factors are = 1, 2, 3, 6

2( 3) = 2 x 3

Its factors are = 1, 2,3, 6

To learn more about factors and multiples, learn refer to https://brainly.com/question/10749076

#SPJ9

A plan which would give Genesis the lowest monthly payment is: C. The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

In order to determine the plan which would give Genesis the lowest monthly payment, we would calculate the simple interest earned over each of the time period.

Mathematically, the simple interest earned can be calculated by using this formula:

A = P(1 + rt)

Where:

Substituting the given parameters into the formula, we have;

A = 9000[1 + (0.09 × 3)]

A = 9000[1 + 0.27]

A = 9000 × 1.27

Future value, A = $11,430.

Next, we would calculate the monthly payment over a period of 36 months as follows:

Monthly payment = Future value/Time

Monthly payment = 11,430/36

Monthly payment = $317.50.

Similarly, we would calculate the compound interest earned on the credit card by using this formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

A = 9000[1 + (0.18/12)]⁽¹² ˣ ⁷⁾

A = 9000[1 + 0.015]⁸⁴

A = 9000 × 1.015⁸⁴

A = 9000 × 3.49258954

Future value, A = $31,433.31.

Next, we would calculate the monthly payment over a period of 84 months as follows:

Monthly payment = Future value/Time

Monthly payment = 31,433.31/84

Monthly payment = $372.21.

In this context, we can reasonably infer and logically deduce that the plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan.

Read more on monthly payment here: https://brainly.com/question/27447530

#SPJ1

Answer:

C

Step-by-step explanation:

got 100% on exam

Current trends in math instruction are likely to lead to graduates who are able to "find precise answers quickly by consulting texts and tables."

A analysis of studies on mathematics instruction encompassing students with educational disabilities discovered a variety of behavioral, cognitive, & metacognitive approaches that have been shown to improve both mathematical computation & mathematical solving problems in students with LD.

Some key features regarding the math instruction are-

Some points regarding the importance of the math instruction are-

To know more about the computational skills, here

https://brainly.com/question/28032366

#SPJ4

Answer: 2x..?

Not 100% sure but here's my reasoning

(1/2 + 1/2 + 1)x

1/2 + 1/2 = 1

1 + 1 = 2

then you add the x, making it 2x

i could be wrong im literally half asleep eating chicken wings and finishing my own homework so forgive me if this is completely wrong lol

The equation of a line that is parallel to y=4x-3 and passes through the point (7, 10) is 4x - y = 18.

Given that;

First, we determine the slope of the line using the slope intercept form.

y = mx + b

m is slope and b is y-intercept.

y = 4x - 3

Comparing with the slope intercept form equation,

Slope m = 4

Now, to determine the the equation of line parallel, the slopes must equal.

We find the line using the point slope formula.

y - y₁ = m(x - x₁)

Plug in m = 4, x₁ = 7, y₁ = 10 and simplify.

y - 10 = 4(x - 7)

y - 10 = 4x - 28

-10 + 28 = 4x - y

4x - y = -10 + 28

4x - y = 18

Therefore, the equation of a line that is parallel to y=4x-3 and passes through the point (7, 10) is 4x - y = 18.

Learn more about slope formular here: https://brainly.com/question/23754615

#SPJ1

The steps that you should take to approximate the total amount that Gwinnett County must pay teachers for the whole year are:

The approximate amount that is paid to teachers in will be based on the average wages that is paid to teachers in Gwinnett County. You can find this out by conducting an anonymous survey of different levels of teacher salaries in Gwinnett County or you can find it from the relevant Gwinnett County government department.

Then, look for records to show the number of teachers in Gwinnett County.

Multiply these two figures and you will then get the approximate the total amount that Gwinnett County needs to pay its teachers.

Find out more on finding the approximate amount at https://brainly.com/question/201331

#SPJ1

Answer:

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

We see the exterior angle measures given with one unknown.

Recall the sum all exterior angles of a polygon is 360°.

Set up equation and find the unknown value:

The value of P(t) is  p(t) = -70 cos(10xπ t) + 165.

Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).

range of pressure =  low of 90 to a high of 230

As, Pressure oscillating ten times every hour. So period n = .0.2 min.

Now, P = f(t) = Acos(Bt) + D

Amplitude = (HP - LP / 2

= (230- 90) / 2

= 140/ 2

= 70

Period B = 2xpi / 0.2 = 10xπ

and, D= (Ph + Pl) / 2

= (230+ 90) / 2

= 330/ 2

= 165

Hence, p(t) = -70 cos(10xπ t) + 165.

Learn more about this  pressure here:

https://brainly.com/question/9104240

#SPJ4

Answer:

The x is 2 and the y is 1. So, it's 1/2

Step-by-step explanation:

x = 2

y = 1

Slope goes y,x,

The value of x in (x,7) is -1

Mid Point of a line segment is defined as the point which divides the line segment in equal ratio that means divides in two equal parts.

Let one end point of line segment be A(a,b) and other end be B(c,d)

then its mid point X(x,y) will be given by [tex]x=\frac{a+c}{2} , y=\frac{b+d}{2}[/tex]...….(1)

Given the points A(3,-3) and B(x,7) and the midpoint X(1,2)

The  mid point [tex](1,2)=(\frac{3+x}{2} ,\frac{-3+7}{2} )[/tex]...............using (1)

On comparing the x coordinate we get

[tex]1=\frac{3+x}{2}[/tex]

On cross multiplying we get

[tex]2=3+x[/tex]

On solving further

[tex]x=-1[/tex]

Therefore ,  the value of x in (x,7) is -1.

Learn more about Midpoints here https://brainly.com/question/25831290

#SPJ4

a) the formula for r is r = (a/p - 1)/r

b) The interest rate for the principal is $1000, the time is 2 years and simple inters $1080 is 0.04

c) The formula for p is p = a/1+rt

Simple Interest:

Simple interest is the process of multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

the amount a of money in an account after simple interest has been earned is given by the formula

=> a = p + prt

where

p is the principal,

r is the annual interest rate in decimal form, and

t is the time in years.

Here we need to find the following:

a. solve the formula for r

b. the amount of money in an account after interest has been earned is $1080, the principal is $1000, and the time is 2 years. what is the annual interest rate?

c. solve the formula for p.

a) The formula for r is calculated by moving the other elements and hold on r.

Then, the given formula,

=> a = p + prt

=> a = p (1 + rt)

=> a/p = 1 + rt

=> a/p - 1 = rt

=> r = (a/p - 1)/r

b) The given values are

p = $1000

t = 2

a = $1080

Now apply the values on the formula r to find the value of it,

=> r = ([1080/1000] - 1)/2

=> r = (1.08 - 1) /2

=> r = 0.08/2

=> r = 0.04

c) The formula for p can be derived as follows:

=> a = p + prt

=> a = p(1+rt)

=> p = a/1+rt

To know more about Simple Interest here.

https://brainly.com/question/25845758

#SPJ4

Answer:

Step-by-step explanation:

Lets see here, this question is a bit confusing to understand, But Ill work at it for you ^^

So at that first line that says ones, you are going to want the middle lint horizontal on that vertical line to be labeled 5.

Slightly above that, more near to the top you are going to want to write 85.

On the second Line drawn you are going to want to label the middle horizontal line 4

Above that, near the top write 854

The rounded number of 8.546 Would Be 9, Because since the tens place is a 5, you round up a number.

for question 3. a

the answer would be   18.4 if you round to the tenths, or 18.39

This is because the number in the thousands place is a 6, and thats 5 or above so you round the hundreths up 1 to become 9, and 9 is 5 or above so the 3 would become a 4(only if rounding to the tenths!!)

For question 3. b

1 meter = 100 centimeters, so we would multiply 18.386 by 100

That would shift the decimal point to the right 2 places (if you don't want to have to do the multiplying, rule of thumb is one 0 shifts one place to the right, you shift however many places as there are zeroes)

This would give us 1838.6 centimeters.

And I cant read question 4(sorry)

Hope this helps!!

Using a system of equations, it is found that:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The total invested is of $36,000, hence:

x + y = 36000.

The amount invested in bonds is to to exceed that in CDs by $5,000, hence:

x = y + 5000.

Replacing in the first equation:

y + 5000 + y = 36000.

2y = 31000

y = 15,500.

x = y + 5000 = 20,500.

Hence:

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Answer:

-3/2

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (3 - (-6))/(-2 - 4)

slope = (3 + 6)/(-6) = 9/(-6)

slope = -3/2

Answer:

Step-by-step explanation: 3/-2

Answer:

8

Step by step :

0.6x = 0.8x-1.1-0.5

0.6x-0.8x = -1.6

-0.2x = -1.6

x = -1.6/-0.2

x = 8

We're given:

This means that the consecutive odd integers will be m + 2 and m + 4.

If we add all their ages, it will look like this:

[tex]m+(m+2)+(m+4)\\= m+m+2+m+4\\= 3m+2+4\\= 3m+6[/tex]

[tex]3m+6[/tex]

Answer:

Step-by-step explanation:

According to the information, first pick with returning make the question easy, it means that fist pick and second pick are independent events, we want to calculate the probability of same number or same color so 'or' means the addition method in statistics, from above second card has same number or same color decide the probability, not the first picked card,

P = P(same number) + P(same color) = 1/3 + 1/3 = 2/3

Or you can draw a tree diagram

A "meta-analysis" is a statistical procedure for combining the findings of multiple studies to reach a single conclusion.

Meta-analyses are more rigorous and quantitative than both kinds of reviews.

Some main points related to meta-analysis are-

To know more about the meta-analysis, here

https://brainly.com/question/14723190

#SPJ4

Answer: -.5 OR -.1, -.2, -.3, -.4, -.5, -.6,-.7,-.8,-.9

Step-by-step explanation: The simple answer is -.5, it is right in the middle of 0 and -1. The answer number is everything in between.

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: [tex]u_{x x}+u_{y y}=0[/tex]

(1) [tex]u=e^{-x} \cos y-e^{-y} \cos x[/tex]

Differentiate with respect to x as follows:

[tex]u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x[/tex]

Differentiate with respect to y as follows:

[tex]u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x[/tex]

Supplement the values in the given Laplace equation.

[tex]e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0[/tex]

The given function in this case is the solution to the given Laplace equation.

(2) [tex]u=\sin x \cosh y+\cos x \sinh y[/tex]

Differentiate with respect to x as follows:

[tex]u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y[/tex]

Differentiate with respect to y as follows:

[tex]u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y[/tex]

Substitute the values to obtain:

[tex]-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0[/tex]
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

Know more about Laplace's equation here:

https://brainly.com/question/14040033

#SPJ4

The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

Answer:

Could I see the available choices?

Step-by-step explanation:

Answer:

didnt have the choices but any that would have it as the same problem different order

Step-by-step explanation:

17+14+13=13+14+17=14+13+17=14+17+13=17+13+14=13+17+14

Answer: x=-10

Step-by-step explanation:

LMN=LMF+FMN

125=x+48+x+97

125=2x+48+97

125=2x+145

2x=-20

x=-10

Answer: 182

Step-by-step explanation: