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enot [183]
3 years ago
13

Write the equation of a line in y = mx + b form that has a slope of 7/3 and a y-intercept of 2.

Mathematics
1 answer:
zubka84 [21]3 years ago
5 0

Answer:

y = 7/3 x + 2

Step-by-step explanation:

y = mx+b is the slope intercept form of a line

where m is the slope and b is the y intercept

Substituting in what we know

y = 7/3 x + 2

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HURRY PLEASE PLEASE
Olegator [25]

Polynomials are algebraic expressions represented by variables and coefficients.

<h3>(a) How to determine the interval the open seats increased</h3>

This is the interval, where the open seats increase the same time the time in minutes increases.

From the graph, the open seats increases at the interval (100, 600)

<h3>(b) The time the first meeting ended</h3>

This is the first point where the curve changes its direction from decreasing values to increasing values

From the graph, the curve changes its direction at point (25,100)

Hence, the first meeting ended at 10:25 AM

<h3>(c) When there were 700 open seats</h3>

From the graph, we have:

(x,y) = (5, 700)

Hence, there were 700 open seats at 10:05 AM

<h3>(d) The average rate of change from 10:00 AM to 10:25 AM</h3>

At 10:00 AM, we have:

(x,y) = (0,800)

At 10:25 AM, we have:

(x,y) = (25,100)

So, the average rate of change is:

m = \frac{y_2 -y_1}{x_2 -x_1}

This gives

m = \frac{100 - 800}{25 - 0}

m = \frac{-700}{25 }

m = -28

Hence, the average rate of change from 10:00 AM to 10:25 AM is -28 people per minute

Read more about polynomials at:

brainly.com/question/4142886

7 0
2 years ago
Find the standard deviation and variance of the sample 93, 73, 76, 86, 98.
Novay_Z [31]
Total Numbers = 5
Mean (Average) = 85.2
Standard deviation = 10.70981
Variance(Standard deviation) = 114.7
Population Standard deviation = 9.57914
Variance(Population Standard deviation) = 91.76


5 0
2 years ago
If 5 out of 25 people like chocolate ice cream, what percent of the people do not like chocolate ice cream
d1i1m1o1n [39]
100 - ((5÷25)x100),
hence C. 80%
7 0
3 years ago
Read 2 more answers
Each observation indicates the primary position played by the Hall of Famers: pitcher (P), catcher (H), 1st base (1), 2nd base (
gregori [183]

Answer:

a. See below for the Frequency and Relative frequency Table.

b. Pitcher (P) is the position provides the most Hall of Famers.

c. 3rd base (3) is the position that provides the fewest Hall of Famers.

d. R is the outfield position that provides the most Hall of Famers.

e. Th number of Hall of Famers of Infielders which is 16 is less than the 18 Hall of Famers of those of outfielders.

Step-by-step explanation:

Note: This question not complete. The complete question is therefore provided before answering the question as follows:

Data for a sample of 55 members of the Baseball Hall of Fame in Cooperstown, New York, are shown here. Each observation indicates the primary position played by the Hall of Famers: pitcher (P), catcher (H), 1st base (1), 2nd base (2), 3rd base (3), shortstop (S), left field (L), center field (C), and right field (R).

L P C H 2 P R 1 S S 1 L P R P

P P P R C S L R P C C P P R P

2 3 P H L P 1 C P P P S 1 L R

R 1 2 H S 3 H 2 L P

a. Use frequency and relative frequency distributions to summarize the data.

b. What position provides the most Hall of Famers?

c. What position provides the fewest Hall of Famers?

d. What outfield position (L, C, or R) provides the most Hall of Famers?

e. Compare infielders (1, 2, 3, and S) to outfielders (L, C, and R).

The explanation of the answers is now provided as follows:

a. Use frequency and relative frequency distributions to summarize the data.

The frequency is the number of times a position occurs in the sample, while the relative frequency is calculated as the frequency of each position divided by the sample size multiplied by 100.

Therefore, we have:

<u>Frequency and Relative frequency Table  </u>

<u>Position</u>           <u>Frequency </u>         <u> Relative frequency (%) </u>

P                               17                             30.91%

H                               4                               7.27%

1                                5                               9.09%

2                               4                               7.27%

3                               2                               3.64%

S                               5                               9.09%

L                               6                               10.91%

C                              5                                 9.09%

R                        <u>      7     </u>                          <u>  12.73% </u>

Total                  <u>     55   </u>                          <u>   100%   </u>

b. What position provides the most Hall of Famers?

As it can be seen from the frequency table in part a, Pitcher (P) has the highest frequency which is 17. Therefore, Pitcher (P) is the position provides the most Hall of Famers.

c. What position provides the fewest Hall of Famers?

As it can be seen from the frequency table in part a, 3rd base (3) has the lowest frequency which is 2. Therefore, 3rd base (3) is the position that provides the fewest Hall of Famers.

d. What outfield position (L, C, or R) provides the most Hall of Famers?

As it can be seen from the frequency table in part a, we have:

Frequency of L = 6

Frequency of C = 5

Frequency of R = 7

Since R has the highest frequency which is 7 among the outfield position (L, C, or R), it implies that R is the outfield position that provides the most Hall of Famers.

e. Compare infielders (1, 2, 3, and S) to outfielders (L, C, and R).

Total frequency of infielders = Frequency of 1 + Frequency of 2 + Frequency of 3 + Frequency of S = 5 + 4 + 2 + 5 = 16

Total frequency of outfielders = Frequency of L + Frequency of C + Frequency of R = 6 + 5 + 7 = 18

The calculated total frequencies above imply that number of Hall of Famers of Infielders which is 16 is less than the 18 Hall of Famers of those of outfielders.

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3 years ago
Find the height of the tree
SpyIntel [72]
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5 0
2 years ago
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