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2 years ago

The graph shows Elizabeth’s speed during a 55-minute run. During which time interval did Elizabeth’s speed increase?

Mathematics

1 answer:

gladu [14]2 years ago

5 0

Answer:

0 - 5

Step-by-step explanation:

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Let f(x)=−x√3 . What is the average rate of change of f(x) from 8 to 64?

Fed [463]

Average rate of change of the function: $-\sqrt{3}$

Step-by-step explanation:

The average rate of change of a function f(x) can be calculated as:

$r=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

where:

$x_1, x_2$ are the x-values of the interval taken into account to evaluate the rate of change of the function

$f(x_1),f(x_2)$ are the values of the function at those points

In this problem, we have:

$x_1=8\\x_2=64$

The function is $f(x)=-x\sqrt{3}$ , so

$f(x_1)=f(8)=-8\sqrt{3}\\f(x_2)=f(64)=-64\sqrt{3}$

So, the average rate of change in this interval is:

$r=\frac{-64\sqrt{3}-(-8\sqrt{3})}{64-8}=\frac{-56\sqrt{3}}{56}=-\sqrt{3}$

Learn more about rates of change:

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#LearnwithBrainly

5 0

3 years ago

It is estimated that one third of the general population has blood type A A sample of six people is selected at random. What is

Feliz [49]

Answer: 0.2195

Step-by-step explanation:

Binomial distribution formula :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes in the n independent trials of the experiment and p is the probability of success.

Given : The probability of that the general population has blood type A = $\dfrac{1}{3}$

Sample size : n=6

Now, the probability that exactly three of them have blood type A is given by :-

$P(3)=^6C_3(\dfrac{1}{3})^3(1-\dfrac{1}{3})^{6-3}\\\\=\dfrac{6!}{3!3!}(\dfrac{1}{3})^3(\dfrac{2}{3})^{3}\\\\=0.219478737997\approx0.2195$

Therefore, the probability that exactly three of them have blood type A = 0.2195

3 0

3 years ago

Find the value of x. Round your answer to the nearest tenth.

Ainat [17]

Answer:

x= 16.5

So, Option B

hope it helps...

8 0

2 years ago

The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and wr

Art [367]

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

$\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%$

Hence, the percentage error is 25%.

8 0

3 years ago

meg has a new bookcase for her bedroom eith 6 shelves. Each shelf holds 8 books. If meg has 50 book, how many books will not fit

jeka57 [31]

Answer:

Step-by-step explanation:

6 shelves x 8 books = 48 books

8 0

3 years ago