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Nutka1998 [239]
4 years ago
12

What is the answer for number 1?

Mathematics
1 answer:
Vedmedyk [2.9K]4 years ago
7 0

Answer:

D

Step-by-step explanation:

A and B are eliminated because that  puts them into the opposite quadrant. C is also eliminated for that reason because rotating 180 puts it into the diagonal quadrant. D is 360 which just makes it do a circle onto itself it's also the only one left.

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ABCD is a rectangle. Angle D = 3x + 20 + 7x - 3x. Solve for x
Elodia [21]

Answer:

angle D equal to 3 X + 20 + 7 x minus 3 x

=90 degree equal to x minus 3 X + 20

7 X equal to 70 X equal to 10

4 0
3 years ago
How do I use substitution to solve a system of linear equations?
Pachacha [2.7K]

Answer:

the substitution method is one way to solve linear equation. the substitution method is when substitute the one y value with the other:

example :

x+y=10

y=10-x ( value of y)

2x+y=12 ( substitute the value of y in the equation )

2x+(10-x)=12

2x+10-x=12 ( now solve for x)

x=12-10

x=2 ( substitute the value of x in the equation x+y=10)

x+y=10

2+y=10

y=10-2

y=8

( i hope it helps)

8 0
4 years ago
In a certain clinical study, 15% of participants were classified as heavy smokers, 25% as light-smokers, and the rest as non-smo
Natasha_Volkova [10]

Answer:

There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.

Step-by-step explanation:

We have the following probabilities:

A 15% probability that a participant is classified as a heavy smoker.

A 25% probability that a participant is classified as a light smoker.

A 100% - 25% - 15% = 60% probability that a participant is classified as a non smoker.

A x% probability that a non smoker dies.

A 3x% probability that a light smoker dies.

A 5x% probability that a heavy smoker dies.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

This problem is:

What is the probability of the participant being a non-smoker, given that he died?

P(B) is the probability that the participant is a non smoker. So

P(B) = 0.6

P(A/B) is the probability that the participant dies, given that he is a non smoker. So:

P(A/B) = x

P(A) is the probability that the participant dies:

P(A) = P_{1} + P_{2} + P_{3}

P_{1} is the probability that a heavy smoker is selected and that he dies. So:

P_{1} = 0.15*5x = 0.75x

P_{2} is the probability that a light smoker is selected and that he dies. So:

P_{2} = 0.25*3x = 0.75x

P_{3} is the probability that a non-smoker is selected and that he dies. So:

P_{3} = 0.60*x = 0.60x

The probability that a participant dies is:

P(A) = P_{1} + P_{2} + P_{3} = 0.75x + 0.75x + 0.60x = 2.10x

The probability of the participant being a non-smoker, given that he died, is:

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.6x}{2.10x} = \frac{0.6}{2.10} = 0.2857

There is a 28.57% probability that a randomly selected participant who died by the end of the study was a non-smoker.

7 0
3 years ago
If the graph is reflected across the y-axis, what will be the equation of the new graph?
Bumek [7]

Answer:

\displaystyle b)y =  { 3}^{ - x}  + 1

Step-by-step explanation:

we are given a exponential function

\displaystyle y =  {3}^{x}  + 1

we want to figure out the equation of the new graph reflected across the y-axis

remember that,

\rm\displaystyle (x,y) \xrightarrow{ \text{ reflection  over  y - axis}}( - x,y)

let y be 3^x+1 so,

\rm\displaystyle (x,y) \xrightarrow{ \text{ reflection  over  y - axis}}( - x, {3}^{ - x} + 1 )

hence,

the equation of the new graph

\displaystyle y =  { 3}^{ - x}  + 1

5 0
3 years ago
Read 2 more answers
Which is a step when multiplying or dividing numbers written in scientific notation?
Veronika [31]
It’s A
As it says in the answer, you usually add / subtract the exponents when needed.
4 0
3 years ago
Read 2 more answers
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