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Leto [7]
3 years ago
12

Each unit on the map represents 5 miles. If you drive 20% of the way from Landview to Seaside, how many miles have you driven, a

nd in which quadrant would you be on the map?
a. 10 miles, quadrant II
b. 6 miles, quadrant II
c. 6 miles, quadrant III
d. 1.2 miles, quadrant III

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0
I got answer c as well 

dimulka [17.4K]3 years ago
5 0
We use the distance formula for this problem.

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The distance between point (-2,-2) and point (-2,4).
d = √[(⁻2 - ⁻2)² + (4 - ⁻2)²] = 6 units

Then, compute for 20% of 6 units:
Distance traveled = 6(0.2) = 1.2 units

Use 1.2 units as distance and the starting point (-2,-2). The x-coordinate should still be at -2 because the distance is a straight line as shown in the picture.
1.2 = √[(-2 - ⁻2)² + (y - ⁻2)²]
Solving for y,
y = -0.8

The point is found at (-2,-0.8). This is located at quadrant 3. As to the distance traveled, that would be: 1.2*6 = 6 miles. Thus, the answer is C.

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Find the measure of the larger angle.
White raven [17]

Answer:

127.5

Step-by-step explanation:

(2x+7)+(6x-9)=180

2x+6x+7-9 = 180

8x-2=180

8x=182

x=22.75

6x-9=

6(22.75)-9=

136.5-9=

127.5 Answer

7 0
3 years ago
Read 2 more answers
2a² - 5 + 6a²=?<br> what's the answer?
mote1985 [20]
Combine like terms

2a² + 6a² = 8a²

8a² - 5
7 0
3 years ago
The level of nitrogen oxides (NOX) in the exhaust after 50,000 miles or fewer of driving of cars of a particular model varies No
Greeley [361]

Answer:

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.              

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 0.02 g/mi

Standard Deviation, σ = 0.01 g/mi

Sample size, n = 81

We are given that the distribution of  level of nitrogen oxides is a bell shaped distribution that is a normal distribution.

Standard error due to sampling:

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.01}{\sqrt{81}} = 0.0011

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.01

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 0.02}{0.0011})=0.01  

= 1 -P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.01  

=P( z \leq \displaystyle\frac{x - 0.02}{0.0011})=0.99  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 0.02}{0.0011} = -2.326\\\\x = 0.0174

For a level of 0.0174 or more of nitrogen oxide, the probability of fleet is 0.01.

5 0
3 years ago
10
Zigmanuir [339]

Answer:

320

Step-by-step explanation:

distance=speed*time= 8 *40.

3 0
3 years ago
What is the theoretical probability that you will get a sum of 7? P(sum of 7)=
hammer [34]

Answer:

\frac{12}{36} or \frac{1}{3}

Step-by-step explanation:

Notice that there are 6 sums of 7 on the table provided. For example rolling a 1 and then a 6 would produce a sum of 7.

The reason the answer is 12 and not 6 is that you need to double it for the two dice. Let's say one die was green and the other was blue. The green die could be the 1 and the blue die could be the 6. That is one favorable outcome, but it could be switched. Maybe the green die was 6 and the blue die was 1.

4 0
3 years ago
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