Help pleaseeeeeeeeeeeee

Alberto is snowboarding down a mountain with a constant slope. the slope he is on has an overall length of 1560 feet. the top of

Olenka [21]

The slope of the equation is calculated as:

$\frac{h_2-h_1}{t_2-t_1}=m$

Where $h_2$ is the height of the upper part of the slope and $h_1$ is the height of the low er part.

$m=\frac{4000-4600}{24-0}$

$m=-25$

So, the equation of the line is:

$h-4600=-25(t-0)$

$h=-25t+4600$

With this equation we can find the height of Alberto after having passed 10 sec.

$h(10)=-25 (10)+4600\\h(10)=-250+4600\\h(10)=4350$

After 10 seconds Alberto is 350 feet from the bottom of the slope.

Alberto's speed is:

$v=\frac{1560ft}{24s}=65ft/s$

The speed in miles per hour is:

$v=65ft /s*\frac{1 mile}{5280 ft}*\frac{3600s}{1 hour}\\v=44.32 miles/h$

4 0

4 years ago

For a data set of brain volumes (cm3) and IQ scores of eight males, the linear correlation coefficient is found and the P-val

tatiyna

Answer:

The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.793 which is high so there is not sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.

Step-by-step explanation:

We are given the following information in the question:

p-value = 0.793

Significance level = 0.05

$H_{0}: \mu = \text{ The population correlation coefficient is not significantly different from 0}\\H_A: \mu = \text{ The population correlation coefficient is significantly different from 0}$

Since p value is greater than the significance value so we fail to reject the null hypothesis and accept the null hypothesis. We conclude that there is not a significant linear relationship between two variables.

Thus, we can write:

The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.793 which is high so there is not sufficient evidence to conclude that there is a linear correlation between brain volume and IQ score in males.

7 0

4 years ago

HELP ONE MORE ANSWER PLEASEEEEE

Naddik [55]

Answer:

The length of the rope between the boat and the dock is of 30 feet.

Step-by-step explanation:

Given:

tan(40) ≈ 0.839

Angle of depression = 40 (deg)

Distance between boat and the floor of the ocean = 25.17 feet

If we look into the diagram we can see that,they form 2 right angled triangle.