Need Help please, here is screenshot

Answer:

answer is D

Step-by-step explanation:

A={h,I,j,k l} and B={h,j,l m,n}

n(A U B)={h,I,j,k,l,m,n }

number is 7

COMPLETE QUESTION

Military radar and missile detection systems are designed to warn a country of an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a .90 probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions.

a. What is the probability that a single detection system will detect an attack?

b. If two detection systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack?

c. If three systems are installed, what is the probability that at least one of the systems will detect the attack?

d. Would you recommend that multiple detection systems be used?

Explain.

ANSWER:-

a. The probability that a single detection system will detect an attack is, 0.90.

b. If two detection systems are installed, the probability that at least one of the systems will detect the attack is, 0.81

c. If three systems are installed, the probability that at least one of the systems will detect the attack is, 0.927

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

a. The probability that a single detection system will detect an attack is 0.90.

b. If two detection systems are installed in the same area and operate independently, the probability that at least one of the systems will detect the attack is given by:

P(at least one detection) = 1 - P(neither detection)

where P(neither detection) is the probability that neither of the two systems detects the attack. Since the systems operate independently, the probability of neither detection can be calculated as:

P(neither detection) = (1 - 0.90)²

                                 = 0.19

P(at least one detection) = 1 - 0.19

                                         = 0.81

So the probability that at least one of the two systems will detect the attack is 0.81.

c. If three systems are installed, the probability that at least one of the systems will detect the attack is given by:

P(at least one detection) = 1 - P(neither detection)

where P(neither detection) is the probability that neither of the three systems detects the attack. Since the systems operate independently, the probability of neither detection can be calculated as:

P(neither detection) = (1 - 0.90)³

                                 = 0.073

P(at least one detection) = 1 - 0.073

                                         = 0.927

So the probability that at least one of the three systems will detect the attack is 0.927.

To know more about Probability check:

https://brainly.com/question/30034780

#SPJ1

Answer:

Step-by-step explanation: (x*2)+(6*2)

Answer:

your answer is going to be 390625

Step-by-step explanation:

do 5x5x5x5x5x5x5x5 and you will get 390625

To find the regular price of the item before the markdown, we can use the following formula:

Regular Price = Markdown / (1 - (Discount Percentage / 100))

Here, the discount percentage is 30%, and the markdown is $237.00.

Regular Price = 237 / (1 - (30 / 100))

Regular Price = 237 / 0.7

Regular Price = $341.43

So the regular price of the item before the markdown was $341.43.

Answer:

$341.43.

Step-by-step explanation:

Formula:

Original Price = Markdown ÷ [1 - (Discount Percentage ÷ 100)]

(The mardown would be $237.00 and the discount percentage would be 30%)

Modified Formula (to match out equation:

Regular Price = 237.00 ÷ [1 - (30 ÷ 100)]

= 237 ÷ 0.7

= $341.43

Answer:

y = 5

Step-by-step explanation:

The angle formed is a right angle which has a measure of 90 degrees. This means that the sum of the two angles is 90 degrees. Using this information we can set up an equation and solve for y

Set up equation

7y + 8 + 8y + 7 = 90

==> combine like terms

15y + 15 = 90

==> subtract 15 from both sides

15y = 75

==> divide both sides by 15

y = 5

Answer:

This is a system of equations problem. We can set up the equations as follows:

3x + 4y = 430 (1)

x + y = 125 (2)

Where x is the number of tacos sold and y is the number of burritos sold.

We can solve for x in equation (2) by subtracting y from both sides:

x = 125 - y

Now we can substitute this expression for x into equation (1):

3(125 - y) + 4y = 430

375 - 3y + 4y = 430

3y + 4y = 430 - 375

y = 55

So, 55 burritos were sold on Tuesday. To find the number of tacos sold, we can use equation (2) and substitute in the value we found for y:

x + 55 = 125

x = 70

Therefore, 70 tacos were sold on Tuesday.

Answer:

9

30

2.5

4

Step-by-step explanation:

I hope you understand cause I did it mentally but if you need and explanation just text here

The probability of P(X=10) is  [tex]\frac{27}{216}[/tex]

To get a sum of 10 , the possible triples are

Set1      Set2

136        226

145        244

235       334

If a ≠ b ≠ c  there exist 3 !=b number of permutations of (a, b, c).

If a = b ≠  c then there exist 3 unique permutations of (a, b, c).

In set 1 in each combinations, there are different numbers. joe [tex]$a \neq b \neq c$[/tex]. Thus for each combination there exist 6 permutations.

For example (1 3 6) can be written in 6 different ways.

(1 3 6), (1 6 3), (6 1 3), (3 1 6), (6 3 1)

This, we can get a sum of 10 from the numbers 136 in 6 ways.

There are 3 different combinations in set 1 , thus total number ways =3*16-18.

In set of 2 each combination can be obtained in a 3 ways.

So, total number of ways in set 2 is 3*3=9.

The total is 18+9=27 number of possible ways to get sum of 10 in three dice.

⇒P(X=10)=[tex]\frac{27}{6^{3} }[/tex]

⇒P(X=10)=[tex]\frac{27}{216}[/tex]

Therefore, the P(X=10) is [tex]\frac{27}{216}[/tex].

For more such questions on Probability

https://brainly.com/question/11234923

#SPJ4

Answer:

7 times 4 equals 28

Step-by-step explanation:

Answer:

The answer will be 2

Step-by-step explanation:

x = 14 y = 4

x = ? y = 28

= 14 × 4 = x × 28

= 56 = x × 28

= x = 28/56

= x = 2

Answer: R-squared

Step-by-step explanation:

pronounced ARRRrrr-squared

The Dante's Inferno Test has banished you to the Eigth Level of Hell - the Malebolge! Here is how you matched up against all the levels: Level, Score. Purgatory ...

Maximum and careful attention was done to avoid any wrongly tagging any categories , but mistakes may happen.

Based on the Law of Cosines; it was proven that:

Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.

Based on the unshaded triangle, we can find that:

cos Θ = x/a

Next, we will prove that: cos (180 - C) = x/a

Remember that:

cos (A + B) = cos A cos B - sin A sin B

Law of Cosines: c² = a² + b² - 2ab. cos C

cos C = - [c² - (a² + b²)] /2ab ... (i)

Then:

cos Θ = cos (180 - C)

cos (180 - C) = cos 180 . cos C - sin 180 . sin  C

We subtitute equation (i):

cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C

cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)

If we focus on the unshaded triangle, we can find an equation of a, where:

a² = h² + x² ... (iii)

And if we combine both triangle into a giant triangle, we can make another equation of c. where:

c² = (x + b)² + h² ... (iv)

We will subtitute equation (iv) into equation (ii):

cos (180 - C) =  [c² - (a² + b²)]/ 2ab

cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab

cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)

We subtitute equation (iii) into equation (v):

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab

cos (180 - C) = [a² + 2bx - a²] / 2ab

cos (180 - C) = 2bx / 2ab

cos (180 - C) = x/a --> PROVEN!

Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.

We know that:

a² + b² - 2ab cos C = c²

c² = (x + b)² + h²

We will try to find the value of cos C:

a² + b² - 2ab cos C = (x + b)² + h²

a² + b² - 2ab cos C = x² + b² + 2bx + h²

a² - 2ab cos C = a² + 2bx

- 2 ab cos C = 2bx

cos C = - x/a

We will subtitute the value of cos C under the Law of Cosines:

c² = a² + b² - 2ab cos C

c² = a² + b² - 2ab (- x/a)

c² = a² + b² + 2bx --> PROVEN!

Learn more about Law of Cosines here: brainly.com/question/9261858

#SPJ1

Answer:

(f - g)(x) = f(x) - g(x) = (x² - 8x + 12) - (x - 2) = x² - 8x + 12 - x + 2 = x² - 9x + 14. So, (f - g)(x) = x² - 9x + 14.

Answer:

the answer will be 19/8

Step-by-step explanation:

pls give brainlyest

Answer: 214.008

Step-by-step explanation: hope this helped :)

If 7 in every 9 packets of crisps in a box are salt and vinegar, then 9-7 = 2 packets of crisps in a box are plain.

If there are 63 packets of salt and vinegar in the box, then 63 packets / 7 = 9 groups of 9 packets in the box.

So, 9 groups * 2 plain crisps = 18 packets of plain crisps in the box.

Your Welcome :) Hope you have a great day!

Answer:

14

Step-by-step explanation:

9/9 - 7/9 = 2/9

2 in every 9 packets of ceisps in a box are plain crisps.

Then:

63*2/9 = 126/9

= 14

a) The transformations applied to the graph of f to obtain the graph of g are given as follows:

b) The rule for g(x) is given as follows: g(x) = 2x³ - 6x² + 3.

The parent function f(x) is defined as follows:

f(x) = x³ - 3x² + 2.

The transformed function is given as follows:

g(x) = 2f(x) - 1.

The meaning of each transformation is given as follows:

The rule for g(x) is then obtained as follows:

g(x) = 2(x³ - 3x² + 2) - 1

g(x) = 2x³ - 6x² + 4 - 1

g(x) = 2x³ - 6x² + 3.

More can be learned about transformations at https://brainly.com/question/29209050

#SPJ1

The exact value of the trigonometric function is equal to - √5 / 2.

In this problem we must derive the exact value of a trigonometric function based on result of another trigonometric function and given quadrant from Cartesian plane.

Cartesian plane is formed by intersection of two orthogonal axes that creates after four regions known as quadrants, now defined:

And trigonometric functions for a given angle are defined below:

sin θ = y / r

cos θ = x / r

tan θ = y / x

cot θ = x / y

sec θ = r / x

csc θ = r / y

Where r = √(x² + y²) by Pythagorean theorem.

First, derive the components of the given trigonometric function:

sec θ = 3 / 2 → x = 2, r = 3

y = - √(r² - x²)

y = - √(3² - 2²)

y = - √(9 - 4)

y = - √5

Second, find the exact value of the tangent:

tan θ = - √5 / 2

To learn more on trigonometric functions: https://brainly.com/question/14434745

#SPJ1

Answer:

pls give brainiest

Step-by-step explanation:

a）2（x＋5）＋4（x-1）

＝2x＋10＋4x-4

＝6x＋6

＝6（x＋1）

b）3（y-2）＋2（y-1）

＝3y-6＋2y-2

＝5y-8

c）7（r＋3）-2（r-1）

＝7r＋21-2r＋2

＝5r＋23

The profits at each level of bicycle production vary with the total cost, total revenue, and level of production, the profits are as follows:

One bike: -$30

Two bikes: $3

Three bikes: $40

Four bikes: $70

Five bikes: $90

Six bikes: $90

Seven bikes: $80

The profit is the amount retained by the business after paying off the expenses and other costs. It is determined by preparing the profit and loss account at the end of each financial year.

The formula used to determine the profit is:

Profit = Total revenue - Total cost

The computation of profit for each production level is shown in the image attached below.

To know more about profits, refer to the link:

brainly.com/question/1494270

#SPJ1

Answer:

a, 18 girls

b. 21 boys

Step-by-step explanation:

a) To find the number of girls in the club, we can use the fact that the ratio of boys to girls is 5:6. If we let x be the number of girls in the club, then the number of boys is 5/6x.

When 6 more boys join the club, the new ratio is 13:12.

We can set up the equation: (5/6x)+6 = (13/12*x).

Solving for x gives us x = 18.

So there are 18 girls in the dance club.

b) To find the number of boys in the club in the end, we can use the new ratio of 13:12 and the number of girls we found earlier (18). If we let y be the number of boys in the club in the end, then the number of girls is 12/13y.

We can set up the equation: 18 = (12/13y)

Solving for y gives us y = 21.

So there are 21 boys in the dance club in the end.

Answer:

6x + y

Step-by-step explanation:

Remove the parenthesis

8x−6y−2x+7y

Add like terms

(8x−2x)+(−6y+7y)

Simplify

6x+y

Answer:

(-6x-y)

Step-by-step explanation:

We would subtract like terms

2x and 8x are like terms

2x-8x = -6x

-7y and -6y

-7y+6y = -y

Giving us...

(-6x-y)

According to the problem the domain of this function is all real numbers x greater than or equal to 0.

Real numbers are any number that can be used to represent a quantity on the number line. They include both rational numbers (integers, fractions, and decimals) and irrational numbers (numbers that cannot be expressed as a fraction). Real numbers can be positive, negative, or zero and include the number line's endpoint values of positive and negative infinity. Real numbers are used in many areas of mathematics, including algebra and calculus. They are also found in everyday life, in the measurements of length, temperature, and in currency values.

The domain of this function is all real numbers x greater than or equal to 0. The range of this function is all real numbers y greater than or equal to 3. This is because all values of x are mapped to values of y that are greater than or equal to 3.

To learn more about  real numbers visit:

brainly.com/question/155227

#SPJ1

Answer:

2.02

Step-by-step explanation:

2% annual rate

compound monthly so every month you get 2%/12 =0.167%

effectively in a year = 12 months you'll get

(1+0.167%)^12 =  2.02%

input 2.02

Answer:

x = 13

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

sum the 6 exterior angles and equate to 360

3x + 6 + 41 + 6x - 5 + 4x + 7 + 62 + 7x - 11 = 360

20x + 100 = 360 ( subtract 100 from both sides )

20x = 260 ( divide both sides by 20 )

x = 13

[tex]-\frac{263}{6}[/tex] or [tex]-43.8333.[/tex]

[tex]\frac{7}{6} -(18+27)[/tex]

[tex]\frac{7}{6} -(45)\\ \\\frac{7}{6} -45[/tex]

This can be done by multiplying number 45 by the denominator of the fraction (6) and adding 6 as a denominator of 45.

[tex]\frac{45}{6}*6\\ \\ \frac{270}{6}[/tex]

[tex]\frac{7}{6} -\frac{270}{6}[/tex]

[tex]\frac{7-270}{6}=\\ \\-\frac{263}{6}[/tex]

Since the numerator of this fraction (263) is a prime number, the fraction cannot be further simplified and it's the final result.

Answer:

Step-by-step explanation:

The number is 75,146.

This can be arrived at by breaking down the number as follows:

7 ten thousands: 70000

5 fewer thousands than ten thousands: 10000 - 5000 = 5000

1 more hundred than thousands: 5000 + 100 = 5100

6 more tens than hundreds: 5100 + 60 = 5160

5 more ones than ten hundreds: 5160 + 5 = 5165

So, 70000 + 5000 + 5100 + 60 + 5 = 75,165

if the area of a circle is 36.2 square inches, the radius of the circle to the nearest tenth is 3.4 inches.

The area of a circle is 36.2 square inches and we have to determine the radius of the circle to the nearest tenth.

The formula of the area of the circle is given as:

Area of circle = πR², where R is the radius of the circle.

We are given, Area of the circle = 36.2 square inches

So, πR² = 36.2 square inches

Now, π = 3.14

3.14R² = 36.2 square inches

R² = 36.2/3.14

R² = 11.53

Taking square root on both sides

R = √11.53

R = 3.39 inches

R ≈ 3.4 inch (Rounded to the nearest tenth)

Hence, the radius of the circle to the nearest tenth is 3.4 inches.

To learn more about circle here:

brainly.com/question/3683465

#SPJ4