cos^2A( 1+ tan^2A) =1
I​

a) The probability that the computer will be fixed by either A or B is 58%.

b) The probability that it was fixed by B is 57.14%

Given data:

a)

To find the probability that the computer will be fixed by either A or B, we can use the principle of addition for probabilities.

The probability that A can fix the computer is 30% or 0.30, and the probability that B can fix the computer if A cannot is 40% or 0.40.

Therefore, the probability that either A or B can fix the computer is the sum of these probabilities:

P(A or B) = P(A) + P(B if A cannot) = 0.30 + (0.70 * 0.40) = 0.30 + 0.28 = 0.58

Therefore, there is a 58% probability that the computer will be fixed by either A or B.

b)

Let's denote event A as A fixing the computer and event B as B fixing the computer.

P(A) = 0.30 (probability A can fix the computer)

P(B|A') = 0.40 (probability B can fix the computer given that A cannot)

To find P(B|A), the probability that B fixes the computer given that it was fixed, use Bayes' theorem:

P(B|A) = (P(A|B) * P(B)) / P(A)

Since the computer is fixed, P(A) + P(A') = 1, so P(A) = 1 - P(A') = 1 - 0.30 = 0.70

P(B|A) = (P(A|B) * P(B)) / P(A)

P(B|A) = (1 * 0.40) / 0.70

P(B|A) = 0.40 / 0.70

P(B|A) ≈ 0.5714

Hence, if the computer is fixed, there is a 57.14% probability that it was fixed by B.

To learn more about Bayes's theorem, refer:

https://brainly.com/question/29598596

#SPJ4

Answer:

53151 for Bill Randall

66565 for Corrine Brown

Step-by-step explanation:

X + X+13414 = 119716

2x + 13414 = 119716

2x = 106302

x=53151

119716 - 53151 = 66565

Answer:

Collect the like terms

Step-by-step explanation:

(3x-5x)

3x (-2x) + 2 = -8

Answer:

The answer is "[tex]\bold{ F2 = \frac{F F1}{(F1-F)}}[/tex]"

Step-by-step explanation:

Given:

[tex]\bold{F = \frac{F1 F2}{(F1 + F2)}}\\\\[/tex]

Cross multiplication:

[tex]\to F (F1 + F2) = F1 F2\\\\\to F F1 + F F2 = F1 F2\\\\\to F F1 = F1 F2 - F F2 \\\\\to F F1 = F2 (F1 - F) \\\\\to F2 = \frac{F F1}{(F1-F)}[/tex]

Step-by-step explanation:

angle 6 is equal to 124° because those two angles are vertical angles. And vertical angles are always equal to each other

Let

F--------> represent the force

m--------> represent the mass

a-------> represent the acceleration

we know that

The formula that relates three quantities: Force (F), mass (m), and acceleration (a) is equal to

Part a) Solve this equation for a

Divide both sides by the mass

therefore

the answer part a) is equal to

Part b) Let the force be 25 units and the mass be m = 10 units. What is the acceleration, a?

we know that

the formula of acceleration is equal to

in this problem

we have

Substitute the values n the formula

therefore

the answer part b( is equal to

Part c) Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?

we know that

Solve for m

Divide both sides by the acceleration

in this problem

we have

Substitute the values n the formula

therefore

the answer Part c) is

Answer:

Options D and E. See explanation for more understanding.

Step-by-step explanation:

Select all the distribution shapes for which the median could be much less than the mean.

OPTIONS:

(A) NOT APPLICABLE

In a symmetric distribution (a perfectly symmetric distribution), the median is equal to the mean.

(B) NOT APPLICABLE

A bell-shaped distribution is same as the standard normal distribution. The median here is equal to the mean.

(C) NOT APPLICABLE

In a left-skewed distribution, the median is greater than the mean.

(D) APPLICABLE

In a right-skewed distribution, the median is much less than the mean.

(E) SELDOM APPLICABLE

A bimodal distribution is one with two modes; in other words, two observations with the same frequency of occurrence. A bimodal distribution has its mean equal to its median if it is a symmetric distribution and otherwise if it is an asymmetrical distribution.  

Answer:

likely, impossible, unlikely

Step-by-step explanation:

Answer:likely

Impossible

Unlikely

Step-by-step explanation:

Answer:

The amount of income tax in dollars and cents is $4,695.75

Step-by-step explanation:

To find the amount of income tax that should be paid, we simply use the percentage said to be for the income tax

Mathematically;

income tax = 9% of 52,175

= 9/100 * 52175

= $4695.75

The income tax to be paid on the income is $52,175

Answer:4695.75

Step-by-step explanation:

Well if u made 52175 a whole then put 9 as a percentage you would cross multiply 52175 with 9 then divided with the whole percentage (100)

Answer: g > -8

Step-by-step explanation:

sadmep

Answer:

[tex]\pi \: r{2} \\ = \frac{22}{7} \times 10 {}^{2} \\ = 3.14 \times 100 \\ = 314[/tex]

I think the Answer is 314.....

Thank you ☺️

Answer:

i would say a but i could be wrong

Step-by-step explanation:

Answer:

The probability that the town has 30 or fewer residents with the illness = 0.00052.

Step-by-step explanation:

So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.

The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.

Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.

Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness =  e^-λ × λ^x/ x!

the answer ur welcome

Answer and Step-by-step explanation:

Solution:

Order of operations:

1- Parentheses

2- Exponent

3- Multiply

4- Divide

5- Subtract

By using these operations we can find out the solution of 4’s to create problems that will equal to     1 – 12.

1 = 44 / 44   or (4+4) / (4+4)

2= 4/4 + 4/4

3 = (4+4+4) /4

4 = 4 x (4 – 4) +4

5 = (4 x 4 + 4)/ 4

6 = 4 x .4 + 4.4

7 = 44 / 4 – 4

8 = 4 + 4.4 - .4

9 = 4/4 +4 +4

10 = 44 / 4.4

11= 4 / .4 + 4/4

12 = (44 + 4) / 4

Answer:

in this question is hard to identify the value of x when it is not equated to a number so hey you'll just have to add to get 7 x

Answer:

a

[tex]\mu  =  25 [/tex]

b

[tex]\lambda  =0.04 [/tex]

c

[tex]P(X > 65 ) =0.0742  [/tex]  

Step-by-step explanation:

From the question we are told that

  The  number of success is  n =  5

   The time duration is  N  =  125 minutes

Generally the mean of the random variable is mathematically represented as

       [tex]\mu  =  \frac{N}{n}[/tex]

=>    [tex]\mu  =  \frac{125}{5}[/tex]

=>    [tex]\mu  =  25 [/tex]

Generally the rate parameter is mathematically represented as

      [tex]\lambda  =  \frac{1}{\mu}[/tex]

=>   [tex]\lambda  =  \frac{1}{25}[/tex]

=>   [tex]\lambda  =0.04 [/tex]

Generally the cumulative distribution function for exponential distribution function is  

   [tex]F(x) = \left \{0 \ \ \ \ \ \  x \le  0}} \atop {1 -e^{-\lambda t }\   x>0}} \right.[/tex]

Generally the probability that the time to success will be more than 63 minutes is mathematically represented as

 [tex]P(X > 65 ) =  1 - P(X \le 65)[/tex]

Here

    [tex]P(X \le 65) =  1 -e^{-65 *  \lambda }[/tex]  

=>       [tex]P(X \le 65) =  1 -e^{-65 *  0.04 }[/tex]    

=>       [tex]P(X \le 65) = 0.92573[/tex]    

So

     [tex]P(X > 65 ) =  1 - 0.92573 [/tex]  

     [tex]P(X > 65 ) =0.0742  [/tex]  

monke monked mon key

Answer:

Is B

3x+3

____

4x

Step-by-step explanation:

I think is B

Answer:

the fraction and its decimal equivalent for the mark on the ruler

= 59/64 = 0.921875

Step-by-step explanation:

Given that;

A CARPENTER 's ruler is marked in thirty  seconds

mark on the ruler between 29/32 and 30/32​ is the average of the values

we know that average is the summation of all terms divided by the number of appearance of terms

so

= (29/32 + 30/32​) / 2

= ((29 + 30) / 32) / 2

= (59 / 32) / 2

= 59 / 64

= 0.921875

therefore the fraction and its decimal equivalent for the mark on the ruler = 59/64 = 0.921875

Answer:

Step-by-step explanation:

E = 10:15 C = 4:5 F = 1:10 D = 1:2 R = 1:3 I = 30: 80 G = 16:48  N = 20: 40

A = 2:1 T = 6:10 S= 9:12 H = 9 O = 1: 11

(wouldve explained them but im in class :)

Question asked:Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs.Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked.

My answer:

They need at least $1975. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog.

25x + 15y ≥ 1975

The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow.

y ≤ 4x

Sarah will walk at least 50 dogs.

y ≥ 50

Answer:

x = 11

Step-by-step explanation:

It is given that,

Points H, G and F are collinear. Point G is between H and G.

It means,

HG = GH + HG

We have, HG = x, GH = 1, HG = 10

Putting all the values, we get:

x = 1 +10

x = 11

It is very clear that the value of x is 11.

Answer:

Step-by-step explanation:

See attachment

Answer:

The probability is    [tex]P(C | I) =  0.025[/tex]    

Step-by-step explanation:

From the question we are told that

      The  proportion analyzed by  Amir is  P(A) =  0.55

      The proportion analyzed by  Betty is  P(B)  =  0.30

     The  proportion analyzed by  Carlos is  P(C) =  0.15

     The inaccuracy by  Amir  is   p = 0.6% =  0.006

     The inaccuracy by  Betty  is  b = 0.4% = 0.004

    The inaccuracy by  Carlos  is c = 0.1% =  0.001

Generally the probability of inaccurate analysis is mathematically represented as

     [tex]P(I) =  P(A) *  p  +  P(B) *  b  +  P(C) *  c[/tex]

=>  [tex]P(I) =  0.55 * 0.006  +  0.30  *  0.004  +  0.15  *  0.001 [/tex]

=>  [tex]P(I) =  0.006 [/tex]

Generally the probability that an inaccurate analysis, detected at final verification, was conducted by Carlos is mathematically represented as

       [tex]P(C | I ) =  \frac{P(C) *  c}{P(I)}[/tex]

=>     [tex]P(C | I) =  \frac{   0.15  *  0.001}{ 0.006}[/tex]

=>     [tex]P(C | I) =  0.025[/tex]    

Answer:

The square root of the variance.

The average distance from the mean expected of the data.

Step-by-step explanation:

Standard deviation is a measure of dispersal. It determines the average distance from the mean expected of the data.

                Standard deviation = [tex]\sqrt{variance}[/tex]

Answer:

There are four main types of transformations: translation, rotation, reflection and dilation.Translation moves the object without rotating it or changing its size. Reflection flips the object about a line of reflection. Rotation rotates a figure about a fixed point. Dilation changes the size of a figure without changing its essential shape.When you reflect a point across the x-axis, the x-coordinate remains the same,but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction.Transformation can be done in a number of ways, including reflection, rotation, and translation. ~When you reflect a point across the x-axis, the x-coordinate remains the same,but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction.

Step-by-step explanation:

Transformation simply means changing the size and location of shapes, lines and points in the coordinate geometry

The similarities

Translations, reflections, and rotations are all rigid transformations

This means that, they do not change the side lengths and angle measure of the shape they transform.

The differences

Translation: can only change the position of shapes without rotating or flipping the shape.

Rotation: This means that a shape is to be turned around a center at a particular degree

Reflection: This simply means that, a shape is mirrored over a line

Real-world transformation

A scenario is when the blades of a fan rotates when the fan is powered on

Examples

Reflection

Rotation

Translation

Read more about transformations at:

https://brainly.com/question/13801312

Answer:

b=4

Step-by-step explanation:

1. Write equation out

•3b-6+b-2=180

2. Combine like terms

•4b-8=180

3. Add the 8 to both sides

•4b-8=180

+8. +8

4b=188

4. Divide by 4

•4b=188

÷4. ÷4

b=47