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ra1l [238]
2 years ago
15

An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found one at position (1, 4) and t

he other at (5, 2). How far apart were the two artifacts? Round to the nearest tenth of a unit if necessary
Mathematics
1 answer:
myrzilka [38]2 years ago
4 0

Given:

Positions of two artifacts are at points (1, 4) and (5, 2).

To find:

The distance between these two artifacts.

Solution:

Distance formula: The distance between two points is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, the distance between two points (1, 4) and (5, 2) is

d=\sqrt{(5-1)^2+(2-4)^2}

d=\sqrt{(4)^2+(-2)^2}

d=\sqrt{16+4}

d=\sqrt{20}

d=4.4721359

Round to the nearest tenth of a unit.

d\approx 4.5

Therefore, the distance between two artifacts is 4.5 units.

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Step-by-step explanation:

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3 years ago
Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h
Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

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So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) -  Quantitative variable

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5 0
3 years ago
What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural
Aleksandr [31]

Answer:

1/3 is a rational number

Step-by-step explanation:

4 0
3 years ago
Suppose the correlation between height and weight for adults is +0.40. What proportion (or percent) of the variability in weight
Schach [20]

Answer:

We are given the correlation between height and weight for adults is 0.40.

We need to find the proportion of the variability in weight that can be explained by the relationship with height.

We know that coefficient of determination or R-square measures the proportion or percent of variability in dependent variable that can be explained by the relationship with independent  variable. There the coefficient of determination is given below:

R^{2}=r^{2}=0.40^{2}=0.16

Therefore, the 0.16 or 16% of the variability in weight can be explained by the relationship with height



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There are 6 roses in a vase of 11 flowers. The rest are daisies. What is the ratio of all flowers in the vase to daisies (PICTUR
lara [203]

Answer:

a) 6:5

b) 11:5

(Daisies: 11-6=5)

5 0
2 years ago
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