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Murrr4er [49]
3 years ago
11

#20 The distance between the points (2, 8) and (4, 7) is

Mathematics
1 answer:
krok68 [10]3 years ago
6 0
D(A,B) = √5 ≈ 2.2361


A = (2,8)
B = (4,7)
d = distance

-----/\------/\------/\------

sqrt((x2-x1)^2+(y2-y1)^2)
which can be simplified to
sqrt(5)
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Marcus lives 1,250 yards from school. Evan lives 3,720 feet from school. Who lives the closest to school?
balu736 [363]

3 ft. = 1 yard

1,250 × 3 = 3,750

Evan lives closer to school.

6 0
3 years ago
Read 2 more answers
Avoiding an accident while driving can depend on reaction time. Suppose that reaction time, measured from the time the driver fi
Nadya [2.5K]

Answer:

2.5% of drivers have a reaction time more than 2.14 seconds

16% of drivers have a reaction time less than 1.78 seconds

84% of drivers have a reaction time less than 2.02 seconds

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

In this problem, we have that:

Mean = 1.9s

Standard deviation = 0.12

What percentage of drivers have a reaction time more than 2.14 seconds?

2.14 = 1.9 + 2*0.12

So 2.14 is two standard deviations above the mean.

Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.

0.05*0.5 = 0.025

2.5% of drivers have a reaction time more than 2.14 seconds

What percentage of drivers have a reaction time less than 1.78 seconds?

1.78 = 1.9 - 0.12

So 1.78 is one standard deviation below the mean.

Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.

100 - 68 = 32

0.32*50 = 0.16

16% of drivers have a reaction time less than 1.78 seconds

What percentage of drivers have a reaction time less than 2.02 seconds?

2.02 = 1.9 + 0.12

So 2.02 is one standard deviation above the mean.

Of the measures that are below the mean, all are below 2.02.

Of those that are above, 68% are below 2.02.

0.5 + 0.68*0.5 = 0.84

84% of drivers have a reaction time less than 2.02 seconds

5 0
3 years ago
The test scores of students in a math class are 56, 42, 50, 63, 58, 41, 50, 48, 68, and 48. What is the mean of this set of data
docker41 [41]
To find the mean, add up all the test scores and divide by the number of tests:
524/10 = 52.4.
8 0
3 years ago
I don’t understand this
egoroff_w [7]

Answer: OPTION A

Step-by-step explanation:

The distance between any number is always positive so we should apply the absolute value.

The distance between numbers=number 1-number2 (or vise versa, and that is why we need absolute value)

In your question, the two numbers are 3/4 and 2. Applying to the expression above, the distance between two numbers should be |3/4-2| or |2-3/4|.

The only option in your case is |3/4-2| and this is it.

Hope this helps!! :)

Please let me know if you have any question

5 0
3 years ago
What is the area of the composite figure?
Lilit [14]

Answer:

B

Step-by-step explanation:

The composite figure consists of a triangle and a semicircle.

The area (A) of the triangle is calculated as

A = 0. 5 bh ( b is the base and h the perpendicular height )

here b = 2 × 4 = 8 and h = 3, thus

A = 0.5 × 8 × 3 = 12 in²

The area (A) of the semicircle is calculated as

A = 0.5πr² ← r is the radius = 4, thus

A = 0.5π ×4² = 0.5 = 0.5π × 16 = 8π

Sum the 2 areas together for area of composite shape, that is

area of composite shape = ( 8π + 12 ) in²  → B

8 0
3 years ago
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