Provide reasons for the statements. (Thank you!)

Indira is climbing and starts at 182.5 meters above sea level each hour she descends 36.5 meters the table shows the function re

VLD [36.1K]

The function relating in indira‘s height to the number of hours she mountain climbing is: y = -36.5x + 182.5

A linear equation is given by:

y = mx + b;

where m is the slope(rate of change), b is the initial value of y, y is the dependent variable and x is the independent variable.

Let x represent the number of hours spent climbing the mountain and y represent the distance above see level.

She starts at 182.5 meters above sea level, hence; b = 182.5 meters

She descends 36.5 meters each hour, hence m = -36.5 meter per hour

Therefore the equation becomes:

y = -36.5x + 182.5

Find out more at: brainly.com/question/19586594

5 0

2 years ago

A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Kar

ch4aika [34]

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.

Let $\mu$ = mean waiting time for bus number 14.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 10 minutes {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, $H_A$ : $\mu$ < 10 minutes {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean waiting time = 7.8 minutes

s = sample standard deviation = 2.5 minutes

n = sample of different occasions = 18

So, test statistics = $\frac{7.8-10}{\frac{2.5}{\sqrt{18} } }$ ~ $t_1_7$

= -3.734

The value of t test statistics is -3.734.

Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.

Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

5 0

3 years ago

Please answer quick and fast its due today.I only have two questions

madreJ [45]

#13 is 3000 because since each T-shirt is $650 and they buy 4 you multiply and get $2600 and since she received 400 dollar change then you add that value to the total cost and get 3000 that means she paid 3000

#14 is a millennium
1 year is 365 days
1 decade is 10 years
1 century is 100 years
1 millennium is 1000 years
So it has to be 1 millennium since 1000 years is the most out of the others

6 0

2 years ago

Read 2 more answers

How many 'words' can be made from the name ESTABROK with no restrictions

Bumek [7]

The number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.

<h3>How to determine the number of ways</h3>

Given the word:

ESTABROK

Then n = 8

p = 6

The formula for permutation without restrictions

P = n! ( n - p + 1)!

P = 8! ( 8 - 6 + 1) !

P = 8! (8 - 7)!

P = 8! (1)!

P = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 × 1

P = 40, 320 ways

Thus, the number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.

Learn more about permutation here:

brainly.com/question/4658834

#SPJ1

6 0

1 year ago

Solving simular triangles advanced

Reptile [31]

Answer:

x = 3/2

Step-by-step explanation:

We can use ratios to solve

6 6+x

-------- = -----------

4 5

Using cross products

6*5 = 4 * (6+x)

30 = 24 + 4x

Subtract 24 from each side

30 -24 = 24+4x-24

6 = 4x

Divide each side by 4

6/4 = 4x/4

3/2 = x

3 0

3 years ago

Read 2 more answers

Provide reasons for the statements.(Thank you!)​

Provide reasons for the statements.(Thank you!)