Choose the function

"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 2 mi north to his place o

jasenka [17]

When you think of the situation as a whole, you may notice that the lines in the problem actually form a triangle. First, the man driving 10 miles east forms a bottom leg of the triangle 10 units long. When he drives the 2 miles north, he adds another leg of 2 units length. When the place of work is connected to the starting position through a line, a third and final line is drawn which creates the triangle.

So, how can we find the direct distance from his place of work to his home? We can use the Pythagorean Theorem ( $a^2 + b^2 = c^2$ , where $a$ and $b$ are the lengths of the legs of the triangle and $c$ is the length of the hypotenuse). We know that the lengths of the legs are 10 and 2, which we can use in the formula, as shown below:

$(10)^2 + (2)^2 = c^2$

Now, we can solve this equation for $c$ :

$\sqrt{(10)^2 + (2)^2} = c$

$\sqrt{104} = c \approx 10.2$

The distance would be √104 miles, or approximately 10.2 miles.

4 0

2 years ago

Which graph represents the solution set of the compound inequality?<br><br> −5 < a − 4 < 2

never [62]

$-5 < a - 4 < 2\\\\ -1$

the 3rd one

8 0

1 year ago

Read 2 more answers

A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student give

attashe74 [19]

Answer:

There is no significant difference between the two averages at 5% level

Step-by-step explanation:

Given that a a college student is interested in testing whether business majors or liberal arts majors are better at trivia.

The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89

Thus he has done a hypothesis testing for comparison of two means of different subjects. n =30

$H_0: Mean of business majors = Mean of liberal arts majos\\H_a:Mean of business majors \neq Mean of liberal arts majos$

Since which is better is not claimed we use two tailed test here

We find that p value $= 0.0524 >5%$ our alpha

Since p >alpha, we find that there is no significant difference between the averages of these two groups and null hypothesis is accepted

4 0

2 years ago

nikki backyard is in the shape of a rectangle. the length is 27 feet. The width is one-third the length plus 4 feet. write and e

PIT_PIT [208]

Answer:

A= Length x Width

A= 27 x (1/3 x 27 + 4)

A=27 x (9 + 4)

A= 27 x 13

A= 351

Step-by-step explanation:

ye

4 0

1 year ago

The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after

marshall27 [118]

Answer:

Step-by-step explanation:

The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is

$\hat y =1.7 +1.48t$

Weight of the kitten after 10 weeks

$\hat y =1.7 +1.48\times 10$

$\hat y =16.5$ pounds

This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.

Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.

Hence, the weight of the kitten after 10 weeks is 16.5 pounds.

8 0

1 year ago