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gregori [183]
3 years ago
11

A) What is

Mathematics
1 answer:
allochka39001 [22]3 years ago
5 0

Answer:

400

Step-by-step explanation:

because 380 + 20 is 400

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It's an overcast day in Hayward and you're waiting for AC Transit 97 Bus Line to show up. Your weather app says there's a 30% ch
melomori [17]

Answer:

a

 P(r n L) =  0.12  

b

 P(L) = 0.225

c

  P(\= r | L) =  0.4667

Step-by-step explanation:

The chance that it will rain is  P(r ) = 0.30

 The chance that it does not rain is P(\= r ) = 1 - P(r )

                                                             P(\= r ) = 1 -0.30

                                                              P(\= r ) = 0.70

The probability that the bus run late if it rains is  P(L | r) =  0.4

 The probability that the bus run late if it does not rain is   P(L | \= r) =  0.15

  Generally the probability that it will rain and the bus will be late is mathematically represented as

     P(r n L) =  P(L | r) *  P(r)

=>  P(r n L) =  0.4 *  0.30

=>  P(r n L) =  0.12  

Generally the probability that the bus will be late is mathematically represented as

     P(L) =  P(r) * P(L|r) + P(L | \= r) * P(\= r)

=>  P(L) =  0.30 * 0.4 +0.15*0.70

 =>  P(L) = 0.225

Generally given that the bus ran late,  the probability that the bus it was not raining is mathematically represented as

      P(\= r | L) =  1- P(r | L )

Here  P(r | L ) = \frac{P(r n L)}{P(L)}

=>   P(r | L ) = \frac{0.12}{0.225}

=>   P(r | L ) = 0.533

So

      P(\= r | L) =  1- 0.533

   =>   P(\= r | L) =  0.467

3 0
3 years ago
Mary bought a $30 shirt that was on sale for 20% off. What is the cost of the shirt after the discount?
d1i1m1o1n [39]

Answer:

$24

Step-by-step explanation:

0.20 x 30 = 6

30 - 6

24

3 0
3 years ago
Read 2 more answers
Mr. Holloway is a craftsman who makes custom guitars by hand. His last order was for 2 guitars, and it took him 8 weeks to make
o-na [289]

Answer:

It took Mr. Holloway 28 weeks to make 7 guitars.

Step-by-step explanation:

The question is incomplete, but if we are trying to find out how many weeks it would take him to make 7 guitars then the answer would be 28.

First you have to find out how many weeks it takes him to make 1 guitar.

8 ÷ 2 = 4 (4 weeks to make 1 guitar)

Then you have to multiply 4 by 7 since it takes 4 weeks to make 1 guitar.

4 * 7 = 28 (28 weeks to make 7 guitars)

7 0
3 years ago
Solve for the value of w.<br> (w-8)°<br> (2W-1)º
atroni [7]

Answer:

w=57

Step-by-step explanation:

The angles are supplementary because they are adjacent to one another and lies on a straight line

w-8+2w-1=180

Combine like terms

3w-9=180

Subtract 9 on both sides

3w=171

Divide 3 on both sides

w=57

4 0
3 years ago
Given that tan 0=-4/7 , and 270 degrees &lt;0&lt;360 degrees , what is the exact value of sec0?
Elanso [62]
I take it you meant θ angle, anyway.

we know the tan(θ) = -4/7... alrite, we also know that 270° < θ < 360°, which is another to say that θ is in the IV quadrant, where the adjacent side or "x" value is positive whilst the opposite side or "y" value is negative.

\bf tan(\theta )=\cfrac{\stackrel{opposite}{-4}}{\stackrel{adjacent}{7}}\impliedby \textit{now let's find the \underline{hypotenuse}}&#10;\\\\\\&#10;\textit{using the pythagorean theorem}&#10;\\\\&#10;c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}&#10;\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;\end{cases}&#10;\\\\\\&#10;c=\sqrt{7^2+(-4)^2}\implies \implies c=\sqrt{65}\\\\&#10;-------------------------------\\\\&#10;sec(\theta )=\cfrac{\stackrel{hypotenuse}{\sqrt{65}}}{\stackrel{adjacent}{7}}
6 0
3 years ago
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