What is the area and perimeter of the triangle

Answer:

a. 0.0535 = 5.35% probability that it will not be discovered

b. 0.9465 = 94.65% probability that it will be discovered

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator.

Event B: Not discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator and not being discovered:

12% of 24%. So

[tex]P(A \cap B) = 0.12*0.24[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535[/tex]

0.0535 = 5.35% probability that it will not be discovered.

b. If it does not have an emergency locator, what is the probability that it will be discovered?

Event A: Has an emergency locator.

Event B: Discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator not being discovered:

67% of 76%. So

[tex]P(A \cap B) = 0.67*0.76[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465[/tex]

0.9465 = 94.65% probability that it will be discovered

Question:

If the measure of arc CB is [tex]\frac{8}{3} \pi[/tex] units, what is the measure of ∠CAB?

Answer:

120°

Step-by-step explanation:

The figure has been attached to this response.

The figure shows a circle centered at A and has a radius of 4 units.

Also, the length of the arc CB (as given in the question) is  [tex]\frac{8}{3} \pi[/tex] units.

The length L of an arc is given by;

L = [tex]\frac{\beta }{360} * 2\pi * r[/tex]         -----------------(i)

Where;

β = angle subtended by the arc at the center of the circle and measured in degrees

r = radius of the circle

From the question;

β = ∠CAB

r = 4 units

L =  [tex]\frac{8}{3} \pi[/tex]

Substitute these values into equation (i) as follows;

[tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 2\pi * 4[/tex]

=>  [tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 8\pi[/tex]

Cancel 8[tex]\pi[/tex] on both sides    

[tex]\frac{1}{3}[/tex] = [tex]\frac{\beta }{360}[/tex]

Cross multiply

3 x β = 360 x 1

3β = 360

Divide both sides by 3

[tex]\frac{3\beta }{3} = \frac{360}{3}[/tex]

β = 120°

Therefore, the measure of ∠CAB is 120°

Answer:

A. 21

Step-by-step explanation:

Recall: inscribed angle in a semicircle equals 90°

m<K is an inscribed angle in a semicircle = (4x + 6)°

Therefore,

4x + 6 = 90°

Solve for x. Subtract both sides by 6

4x + 6 - 6 = 90 - 6

4x = 84

Divide both sides by 4

4x/4 = 84/4

x = 21

Answer:

45

Step-by-step explanation:

This is the outlier because it is much larger than all of the other numbers in the set.

Answer:

the quotient of w and 7

is it correct?

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

the whole line is 49 and line DB is 30.

minus 16 from 30 so 30-16=14

then you minus line CB from EB so 49-14=35

that makes line EC 35

Answer:

4.5 cm²

Step-by-step explanation:

The given shape is a parallelogram , and the area of a parallelogram is ,

Area :-

So , that,

=> A = 1/2 * 2.5 * 1.8

=> A = 4.5 cm²

Answer:

A = 4.5 m²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 2.5 and h = 1.8 , then

A = 2.5 × 1.8 = 4.5 m²

Answer:

13/24

Step-by-step explanation:

1/24 + 4/8

first make denominator equal

1/24 + 4*3/8*3

1/24 + 12/24 = 13/24

then check if it can be further simplified

13/24

It cannot so you're done!

Hope this helps!

Answer:

13/24

Step-by-step explanation:

reduce the frcation with 4

1/24 + 1/2

write all numerators above the least common denominator 24

1+12/24

Calcuate 1+12/ 24

which = 13/24

Answer:

Es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.

Step-by-step explanation:

Dado que una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus clientes, y en la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en Hermosillo 4/16 y en la Ciudad de Guaymas 3/8, para determinar en qué ciudad es más probable que viva el ganador se deben realizar los siguientes cálculos:

Nogales = 5/40 = 1/8 = 0.125

Obregón = 1/4 = 0.25

Hermosillo = 1/4 = 0.25

Guaymas = 3/8 = 0.375

Por lo tanto, es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.

Según las proporciones,  hay que es más probable que el ganador viva en Guaymas.

Por la proporción mas alta, es más probable que el ganador viva en Guaymas.

Un problema similar es dado en https://brainly.com/question/24615636

Answer:

The answer is below

Step-by-step explanation:

Given that k(x) = -125x² +670x - 125, where x is the charge per cone and P = k(x) is the weekly profit

a) The maximum profit is at P'(x) = 0. Therefore we have to find the derivative of the profit equation and equate it to 0.

P'(x) = k'(x) = 0

k'(x) = -250x + 670 = 0

-250x + 670 = 0

250x = 670

x = $2.68

P = k(2.68) = -125(2.68²) + 670(2.68) - 125 = $772.8

Hence the maximum profit is $772.8 when the price of each ice cream cone is $2.68

b) At break even, the profit is 0. Hence P= k(x) = 0

-125x² + 670x - 125 = 0

x = 5.17 or x = 0.19

Therefore to break even, the price of the ice cream cone needs to be $0.19 or $5.17

c) g(x) = k(x - 2)

g(x) = -125(x - 2)² + 670 (x -2) - 125

Maximum profit is at g'(x) = 0

g'(x) = -250(x-2) + 670

-250(x-2) + 670 = 0

-250x + 500 + 670 = 0

250x = 1170

x = 4.68

g(4.68) = -125(4.68 - 2)² + 670(4.68 -2) - 125 = $772.8

Therefore function g has the same maximum value as function k

Answer: Undefined

Step-by-step explanation:

Replace x with -5

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Answer:

✐ The integers from 6 to 25 are ⎆ [tex]\large\bold{7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22,23, 24}[/tex]

Step-by-step explanation:

Natural numbers are numbers that are greater than 0 (all numbers starting from positive 1). All natural numbers are integers. So, in this case ⎇ integers = natural numbers (note :- only in this case)

Answer:

What is 1/3 of 814

Step-by-step explanation:

What is 1/3 of 814

Answer: I think C

Step-by-step explanation:

Answer: The area of the screen at AT&T Stadium = 17150 square foot.

Step-by-step explanation:

When two shapes are similar then,

[tex]\dfrac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\dfrac{\text{area of first shape}}{\text{area of second shape}}[/tex]

As per given , we have

[tex]\dfrac{(175)^2}{(40)^2}=\dfrac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=\dfrac{30625}{1600}\times896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150[/tex]

Hence, the area of the screen at AT&T Stadium = 17150 square foot.

Step-by-step explanation:

y=x may be

may it helped u ....

Answer:

≈ 5.5 minutes.

Step-by-step explanation:

Let m = number of minutes on the trampoline.

[tex]1.45m+7.25=15.23\\1.45m=7.98\\m=5.5[/tex]

She was on the trampoline for approximately 5.5 minutes.

Answer:

= 5.5 minutes

Step-by-step explanation:

1.45  + 7.25  = 15. 23

1. 45 = 15. 23 - 7. 25

1. 45 = 7 . 98

m = 5.5

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

a.8y³-6y

taking common

2y(4y²-3)

is a required answer

b.

3x²-20x+12

doing middle term factorization

3x²-18x-2x+12

3x(x-6)-2(x-6)

(x-6)(3x-2)

is a required answer .

Answer:

D. 268.1 m³

Step-by-step explanation:

Volume =  4/3 * 3.14 * 4³

Volume = 4/3 * 201

Volume = 268 ≈ 268.1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

5,120

Step-by-step explanation:

an = 5.(-2)^(n-1)

a11 = 5.(-2)^(11-1)

= 5.(-2)^10

= 5.(1,024)

= 5,120

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

Answer:9

Step-by-step explanation:

No step

Answer:

the answer for this is 1

Step-by-step explanation:

cause ten times of 1 is 1.

Please don't confuse yourself with

1 times of 10.that one is 10

ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.

the second one is 10 ×1 =10.

Answer:

? = 1

Step-by-step explanation:

4/8 = ?/2

Change the ? into a variable so it's easier to calculate:

Variable x = ?

4/8 = x/2

Cross multiply:

4 × 2 = 8 × x

8 = 8x

Divide both sides by 8 to isolate the variable:

1 = x

Check your work:

4/8 = 1/2

4 × 2 = 8 × 1

8 = 8

Correct!

Answer:

Using the formula

an = a of 1 + (n-1)(d)

an = -28 + (n-1)(-17)

simplify

an = -17n - 11

Now that we have the formula, we just plug in 66 for n

a66 = -17(66) - 11

a66 = -1133

Answer:

d 243

Step-by-step explanation:

The solution of given function is 243

A limit defined as the value which a function approaches as that function's inputs get closer and closer to some number

[tex]lim\ (3x-3)^\frac{5}{2} \\x\to 4[/tex]

[tex](3(4)-3)^\frac{5}{2}[/tex]

[tex](12-3)^\frac{5}{2}[/tex]

[tex](9)^\frac{5}{2}[/tex]

[tex](3^2)^\frac{5}{2}[/tex]

[tex]3^5[/tex]

243

Hence, the solution of given function is 243

Learn more about limit of function

https://brainly.com/question/23008590

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Answer:

6√2 miles

Step-by-step explanation:

Using the solution diagram drawn :

We have a right angled triangle, the distance between Walmart mad chick-FIL is a measure of the hypotenus of the right angled triangle ;

The hypotenus, = √(opposite² + adjacent²)

Hypotenus = √6² + 6²

Hypotenus = √(36 + 36)

Hypotenus = √72

Hypotenus = √36 * 2 = √36 * √2 = 6√2 miles

Answer:

24 1/2 cups

Step-by-step explanation:

we can change 6 1/8 into 49/4

there are 2 cups in 1 quart

now we can set up a proportion:

2÷1 = 'c'÷ 49/4

cross-multiply to get:

49/4 × 2 = c

49/2 = c

c = 24.5

On expanding the expression, we get - 7x + 21.

We have the following expression -

f(x) = 7(x + 3)

We have to write its equivalent expression.

Expanding we get -

f(x) = [tex]$\pi \sqrt{x} + 5\pi[/tex]

According to the question, we have -

7(x + 3)

On expanding, we get -

7(x + 3) = 7x + 21

Hence, on expanding the expression, we get - 7x + 21.

To solve more questions on expanding expressions, visit the link below -

https://brainly.com/question/12308727

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Answer:

x-intercept = 5

y-intercept = 15

Step-by-step explanation:

Change the equation to slope-intercept form: y = -3x + 15

You have the y-intercept in that equation already, so you know it's 15. To find the x-intercept, substitute 0 in for y and solve algebraically.

0 = -3x + 15

-15 = -3x

5=x