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omeli [17]
3 years ago
5

It took team tool bella 2 1/3 hours to hike 4 2/3 miles. whats their average speed in mph

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0
Divide # miles by # of hours to find average mph.

=4 2/3 ÷ 2 1/3
change to improper fractions
= 14/3 ÷ 7/3
multiply by reciprocal/inverses of 7/3
= 14/3 * 3/7
= (14*3)/(3*7)
= 42/21
= 2

Hope this helps! :)
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OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is th
bazaltina [42]

Answer:

(D) 2

Step-by-step explanation:

The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC

Therefore, we have;

The \ scale \ factor = \dfrac{Length \ of \overline  {B'C'}}{Length \ of \overline {BC}} =  \dfrac{Length \ of \overline  {A'C'}}{Length \ of \overline {AC}} =  \dfrac{Length \ of \overline  {A'B'}}{Length \ of \overline {AB}}

\dfrac{Length \ of \overline  {B'C'}}{Length \ of \overline {BC}} =  \dfrac{2 \ units}{1 \ unit} = 2

\dfrac{Length \ of \overline  {A'C'}}{Length \ of \overline {AC}} =  \dfrac{4 \ units}{2 \ units} = 2

\dfrac{Length \ of \overline  {A'B'}}{Length \ of \overline {AB}} =  \dfrac{2 \cdot \sqrt{5}  \ units}{\sqrt{5}  \ units} = 2

Therefore, the scale factor = 2

6 0
3 years ago
Define standard of living and summarize in your own words the relationship between standard of living, cost of living, and stage
svetlana [45]

Standard of living refers to the level of wealth, comfort, material goods and necessities available to a certain socioeconomic class or geographic area. Cost of living is the amount of money needed to cover basic expenses such as housing, food, taxes, and healthcare in a certain place and time period. Stage of life refers to the different phases of life that all individuals pass through in a normal lifetime.

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3 years ago
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7 0
3 years ago
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(1 point) Suppose we will flip a fair coin 100 times. (a) What does 35 heads correspond to on the standard scale? (enter exact a
vlada-n [284]

Answer:

(a) 35 heads correspond to -3 on the standard scale.

(b) z = 2.4 corresponds to 62 heads on the number of heads scale.

Step-by-step explanation:

(a) If we flip a fair coin once, probability of getting head = 0.5

If we flip a fair coin 100 times, mean number of heads = 100(0.5) = 50

If there are N draws with a P probability of success, the standard deviation (SD) is given as:

SD = \sqrt{(N)(P)(1 - P)}

Here, the probability of getting a head (P) is 0.5 while the number of draws (N) is 100. So,

SD = \sqrt{(100)(0.5)(1-0.5)}

SD = 5

The standard scale value is: (35 - 50) / 5 = -3

Hence, 35 heads correspond to -3 on the standard scale.

(b) The standard scale value is 2.4 and we need to find the number of heads.

(X - 50) / 5 = 2.4

X - 50 = 12

X = 62

Hence, z = 2.4 on the standard scale corresponds to 62 on the number of heads scale.

4 0
4 years ago
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