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1 year ago

7

At an important meet, rosalba won the 200 meters in 26.39 seconds. Rosalba ran at an average rate of?

1 answer:

Andre45 [30]1 year ago

7 0

We have to find the average rate of meters per second (also known as average speed).

We can calculate it as the quotient between the distance and the time:

$v=\frac{d}{t}=\frac{200\text{ m}}{26.39\text{ s}}\approx7.58\text{ m\textbackslash s}$

Answer: the average rate is approximately 7.58 m/s.

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Mandarinka [93]

$\frac{5}{a + 3} = \frac{3}{a - 2}$

$5(a - 2) = 3(a + 3)$

$5a - 10 = 3a + 9$

$5a - 3a = 9 + 10$

$2a = 19$

$a = \frac{19}{2} = 9 \frac{1}{2}$

$Answer = D.) a = 9 \frac{1}{2}$

$\textbf{Spymore}$

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3 years ago

Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are resp

IRINA_888 [86]

Answer:

0.95

Step-by-step explanation:

$Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }$

$Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }$

$Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }$

$Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }$

$Correlation \ coefficient \ (r) \simeq 0.95$

5 0

3 years ago

What is the vertex of the equation f(x)=-4(x+2)^2+1

earnstyle [38]

Answer: (-2,1)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A student's course grade is based on one midterm that counts as % of his final grade, one class project that counts as % of

Andrei [34K]

Answer:

The overall score is 75.6

Letter grade is C

Step-by-step explanation:

The question has missing details (See comment section for complete question).

From the complete question, we have:

<u>Proportion:</u>

$Midterm = 15\%$

$Project = 25\%$

$Assignment = 40\%$

$Exam = 20\%$

Scores

$Midterm = 66$

$Project = 90$

$Assignment = 75$

$Exam = 66$

Solving (a): The overall score

To do this, we simply calculate the mean of the given data.

The mean is calculated by multiplying each proportion by the scores..

So, we have:

$Overall = 15\% * 66 + 25\% * 90 + 40\% * 75 + 20\% * 66$

$Overall = 9.9 + 22.5 + 30 + 13.2$

$Overall = 75.6$

Solving (b): The letter grade

From the question, we have:

$A: Mean \ge 90$

$B: 80 \le Mean < 90$

$C: 70 \le Mean < 80$

The overall score falls in the following category:

$C: 70 \le Mean < 80$

Because:

$70 \le 75.6 < 80$

<em>Hence, the letter grade is C</em>

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2 years ago

True or false? Induction is a kind of thinking you use to form general ideas and rules based on your experiences and observation

slega [8]

Definition: Induction is a method of reasoning in which you use individual ideas or facts to give you a general rule or conclusion.

Alsoo there exist special kind of induction, called mathematical induction.

Definition: Mathematical induction is a method of proving a proposition that all integers have a property P(n), by first proving that 1 has the property P(1) and then that if the integer n has property P(n) it so the property P(n+1) has integer n + 1. This is also generalization of some individual rules.

Answer: statement is true.

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3 years ago

Read 2 more answers