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3 years ago

10

The table represents the height of a rock that is dropped, h(t), in meters, after t seconds.

2 answers:

laiz [17]3 years ago

5 0

Answer:

<h2>The rock hits the ground between 2 and 2.5 seconds.</h2>

Step-by-step explanation:

The given table is:

t h(t)

0 20

0.5 18.8

1 15.1

1.5 9

2 0.4

2.5 -10.6

3 -24.1

The ground level is when h(t) = 0, which is between 0.4 and -10.6, because in that interval is included the zero. So, the problem is asking when does the rock hit the ground, referring to time. We just have to look for t-values for 0.4 and -10.6.

<em>Therefore, the rock hits the ground between 2 and 2.5 seconds.</em>

harina [27]3 years ago

4 0

Answer:

The rock hits the ground between 2

seconds and 2.5

seconds after it is dropped.

Step-by-step explanation:

At 2 seconds, the height of the rock is 0.4 meters, and at 2.5 seconds the height of the rock is -10.6 meters. Therefore, the rock hit the ground, or 0 meters, between those times.

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Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

At a rental car company, a customers daily rental charge D (in dollars) for m miles driven is determined by the function D = 35

lianna [129]

Answer:

See below

Step-by-step explanation:

<u>Given function:</u>

D = 35 + 0.4m

m represents the domain and D represents the range of the function, therefore m = x, D = y

<u>Filling in the table:</u>

for x = 10, y = 35 + 0.4*10 = 35 + 4 = 39 and so on for the rest of the values

x = 10, 30, 50, 75, 100
y = 39, 47, 55, 65, 75

3 0

3 years ago

Simplify: (-2^3)^2 (there exponents signs btw :))

ollegr [7]

Answer:

64

Step-by-step explanation:

Brainliest

3 0

3 years ago

How many solutions does this equation have 3(x+1)-5=3x-2

4vir4ik [10]

Answer:

Infinite.

Step-by-step explanation:

3(x+1)-5=3x-2

3x+3-5=3x-2

3x-2=3x-2

True for any number.

6 0

3 years ago

Read 2 more answers

Help please :))<br>10 points

DaniilM [7]

Answer:

54 -3n²

Step-by-step explanation:

The square of a number (n) is represented by n². Three times that value is represented by 3n².

The relation "a is subtracted from b" is represented as ...

b - a

When 3n² is subtracted from 54, the appropriate representation is ...

54 -3n²

6 0

3 years ago