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4 years ago

Suppose you rotate ΔMNP by 990°. In which quadrant will the image lie ? Explain.

Mathematics

1 answer:

Makovka662 [10]4 years ago

6 0

Answer:

See below

Step-by-step explanation:

ΔMNP rotates by 990°

990°= 2*360° + 270°

So, the image lands at 270° or -90°

<u>Since initial position of the triangle is not given, I'll put every scenario:</u>

Original Q1 → Image Q4
Original Q2 → Image Q1
Original Q3 → Image Q2
Original Q4 → Image Q3

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A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. T

Novosadov [1.4K]

Answer:

True.

Step-by-step explanation:

A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. Probability distribution is associated with the following characteristics or properties;

1. The outcomes are mutually exclusive.

2. The list of outcomes is exhaustive, which simply means that the sum of all probabilities of the outcomes must equal one (1).

3. The probability for a particular value or outcome must be between 0 and 1.

Since a probability distribution gives the likelihood of an outcome or event, a single random variable is divided into two main categories, namely;

I. Probability density functions for continuous variables.

II. Discrete probability distributions for discrete variables.

For example, when a coin is tossed, you can only have a head or tail (H or T).

Also, when you throw a die, the only possible outcome is 1/6 and the total probability for it all must equal to one (1).

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3 years ago

2) A bike racer completed a 20.0 kilometer race. She pedaled the first 5.0 kilometers with an average speed of 20.0 km/hr. She p

MakcuM [25]

Answer:

Step-by-step explanation:

Time = distance/speed

Considering the first stage,

Speed = 20km/hr

Distance = 5km

Time = 5/20 = 0.25 hour

Considering the second stage,

Speed = 10km/hr

Distance = 5km

Time = 5/10 = 0.5 hour

Considering the third stage,

Speed = 25km/hr

Distance = 5km

Time = 5/25 = 0.2 hour

Considering the third stage,

Speed = 20km/hr

Distance = 5km

Time = 5/20 = 0.25 hour

Therefore, the time it took the biker to complete the race is

0.25 + 0.5 + 0.2 + 0.25 = 1.2 hours

8 0

4 years ago

Driving 65 mph, it takes Alicia 2 hours to reach the airport to go on vacation. It then takers her 2 hours to get to her destina

GenaCL600 [577]

Around 765 miles is my guess.

8 0

3 years ago

Read 2 more answers

Solving an Absolute Value Equation

Andre45 [30]

Answer:

Solution set = {-12, 12}

Step-by-step explanation:

Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:

$-\,|-x|=-\,12\\|-x|=12$

Now we consider the two possible cases:

1) The expression inside the absolute value symbol is a positive number, then :

$|-x|=-x\\$

and replacing it in the equation, this becomes:

$|-x|=12\\-x=12\\x=-12$

which is our first answer.

2) The expression inside the absolute value symbol is a negative number, then :

$|-x|=x\\$

and replacing it in the equation, this becomes:

$|-x|=12\\x=12$

which is our second possible answer.

Then the set of solutions is: {-12, 12}

8 0

3 years ago

PLEASE HELP ASAP

Elodia [21]

In this question, two houses have an initial value of $179,000, and the projected values are given in the tables for houses 1 and 2.

Part a:

If the absolute value of the change is always the same, it is linear.

If the rate is the same, it is exponential.

House 1:

We have that:

193,606.4 - 186,160 = 7446.4

201,350.66 - 193,606.40 = 7744.26

Let's try exponential:

$\frac{193,606.4}{186,160} = 1.04$

$\frac{201,350.66}{193,606.40} = 1.04$

For house 1, the rate of change is the same, and thus, it is exponential.

House 2:

212,000 - 201,000 = 201,000 - 190,000 = 11,000.

Absolute value of change is the same, so linear.

Thus, for house 1, an exponential function is used, as the rate of change is the same, and for house 2, as the absolute value of change is always the same, it is linear.

Part B

House a:

Exponential function, with initial value of $179,000, and exponential growth rate of 1.04 - 1 = 0.04. Thus:

$f_a(x) = 179000(1+0.04)^x$

$f_a(x) = 179000(1.04)^x$

House b:

Linear function, with initial value of $179,000, increasing by $11,000 each year. So

$f_b(x) = 179000 + 11000x$

Part c:

House a after 30 years:

$f_a(30) = 179000(1.04)^30 = 580,568$

House b after 30 years:

$f_b(30) = 179000 + 110000(30) = 509,000$

In 30 years, house a will have a value of $580,568, while house b will have a value of $580,568. House a will have a higher value, due to exponential growth.

For more about linear/exponential growth, you can check brainly.com/question/14983998

3 0

3 years ago