Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.

Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

Conditional Probability

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

In which

In this problem:

The percentages associated with arriving home after 7 p.m. are:

Hence:

[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]

The probability of both arriving home after 7 p.m. and using bus is:

[tex]P(A \cap B) = 0.62(0.83)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]

0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

You can learn more about conditional probability at https://brainly.com/question/14398287

Answer:

  RS = 80°

Step-by-step explanation:

The sum of the arcs of a circle is 360°.

  RS +ST +TR = 360°

  RS = 360° -ST -TR = 360° -130° -150°

  RS = 80°

Answer:

[tex]3 \frac{13}{44} [/tex]

Step-by-step explanation:

First let's write our equation

[tex]13 \frac{9}{10} \div 3 \frac{1}{2} [/tex]

Now let's make them improper fractions

[tex] \frac{139}{10} \div \frac{7}{2} [/tex]

Now since we're dividing we with fractions we do the reciprocal and multiply

[tex] \frac{139}{10} \times \frac{2}{7} [/tex]

or

[tex] \frac{139}{5} \times \frac{1}{7} = \frac{139}{42} = 3 \frac{13}{42} [/tex]

Answer:

draw a sketch graph for values x and y. but just make sure they r the same e.g if x is 2 y should also be 2. plot points wen y is equal to x. (3,3) (4,4) (5,5). a straight line

for part y=x +2. make any number x e.g let x be 3. therefore y=2+3. y=5. so the point is (3,5). continue with this procedure with about three points then plot on a graph. and it is meant to be a straight line. A TABLE CAN ALSO WORK BUT SHOW STEPS ON HOW YOU GOT THE POINTS

Answer:

I think it's 3.

Step-by-step explanation:

Sorry if it's wrong.

Answer:

x = 9

Step-by-step explanation:

Exterior Angle property of a triangle:

The Exterior Angle property states that:

"The exterior angle of a triangle(the Angle obtained by extending one of the sides of the triangle) is equal to the sum of it's interior opposite angles."

In the given triangle RST:

∠VRS is the exterior angle, and

∠RTS and ∠RST are the interior opposite angles.

By using the above listed property,

∠VRS = ∠RTS + ∠RST

(Substituting the values of of angles from the figure)

=> (9x + 2) = 51 + (3x + 5)

=> 9x + 2 = 51 + 3x + 5

isolating x

=> 9x - 3x = 51 + 5 - 2

=> 6x = 54

dividing both sides by 6

=> x = 9

Answer:81

Step-by-step explanation: it is skip by 3x so 21 x3 = 81

:)

Answer:

8+6+4

Step-by-step explanation:

Answer:

.770

Step-by-step explanation:

if u look at it and and which ones have more then u will get ur answer

Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

In the given functions which are in the form of ax²+bx+c=0 such functions are considered as quadratic function.

The highest power of the variable x should be two.

f(x)=5² is not a quadratic function.

f(x) = 2/x is not a quadratic function.

f(x)=3(x-4)(x+3)

Let us simplify the function

f(x)=3(x²+3x-4x-12)

=3(x²-x-12)

f(x)=3x²-3x-36

So f(x)=3(x²+3x-4x-12) is a quadratic function.

Hence, Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ7

Answer:

$161.88

Step-by-step explanation:

1, 425 * 0.05 = 71.25 = yearly

71.25 / 12 = 5.94 = monthly

5.94 * 2 = 11.88 = for two months

11.88 + 150 = 161.88 = the amount he is expected to pay

Tell me if I'm wrong :)

Step-by-step explanation:

I hope this is your answer

Answer:

k;bjkbihpkbk

Step-by-step explanation:

Answer:    The slope is 1/8

Step-by-step explanation:

Full equation = ( y = 1/8x-1/8)

Step-by-step explanation:

Slope = y2-y1/x2-x1

= 2-1/17-9

=1/8

=0.125

Answer:

   mm

Step-by-step explanation:

Answer:

(0,-1.6) and (1.3,0)

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The statement "the  function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.

A mathematical function is made up of terms (constants and variables) separated by mathematical operators having a dependent and independent variable. A mathematical equation is used to equate two expressions. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which y exists.

We have the following function -

g(x) = - x² + 14x + 39

We will plot the graph of the function to find the minimum value. We can see the graph is maximum when x = 7. Hence, the statement is false.

Therefore, the statement "the  function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.

To solve more questions on functions, visit the link below -

brainly.com/question/1632425

#SPJ2

Answer:

C

Step-by-step explanation:

x=8

(8+40)= 48

2³=2×2×2=8

48:8=6

Answer:

Step-by-step explanation:

First, substitute the 2 given values into the expression.

a ( 10b - 2a )

5 ( 10(2) - 2(5) )

Simplify to the lowest terms possible, without distributing.

5(20-10)

Distribute 5 into each term.

100-50 or 20(5)-10(5)

=50

Answer:

100 degrees

Step-by-step explanation:

at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.

Answer:

Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.

Step-by-step explanation:

Answer:

3x3x7

Step-by-step explanation:

Dw worry ur not wrong but mathswatch sometimes doesnt want you to simplify it and want you to write it all out :P

Hope this helps! :)

Answer:

6lb

Step-by-step explanation:

9lb - 3lb = 6lb

11oz - 11oz = 0oz

Answer:

if im right 1600? i did it in my head so im not 100 percent sure

Step-by-step explanation:

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

took the test

Answer:

1/2(10x+8)

Step-by-step explanation:

Combine like terms

13x+5x+(-8x) and -6+14

Answer: C ≈ 94.25 in

Step-by-step explanation:

Answer:

458.92

Step-by-step explanation:

77%×596=458.92