Ask question

Ask question

All categories

3 years ago

15

A sailboat set a course of N 23° E from a small port along a shoreline that runs north and south. Sometime later the boat overtu

rned and the crew sent out a distress call. They estimated that they were 11 miles away from the nearest harbor, which is 28 miles north of the port they had set sail from. If a rescue team leaves from the harbor, find all possible courses the team must follow in order to reach the overturned sailboat. (Select all that apply.)
A.) S 73° E

B.) N 73° E

C.) S 29° E

D.) S 17° E

E.) S 61° E

2 answers:

xeze [42]3 years ago

7 0

A S 72* if u add the 23 and 28 and then divide then plus

mina [271]3 years ago

4 0

Answer:

Step-by-step explanation:

The answer is 5cwlcusid because it has a more angle to the attraction

You might be interested in

15 PPOINTSMrs. France, a seventh-grade math teacher, is grading papers. Three students gave the following responses to the same

alina1380 [7]

Answer:student 3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A medical researcher wondered if there is a significant difference between the mean birth weight of boy and girl babies. Random

Yuliya22 [10]

Answer:

b) independent samples t-test

$t=\frac{(5.92 -5.74)-(0)}{\sqrt{\frac{1.88^2}{5}}+\frac{1.81^2}{5}}=0.154$

$p_v =2*P(t_{8}>0.154) =0.881$

So with the p value obtained and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the mean of the group 1 (boys) is NOT significantly different than the mean for the group 2 (Girls).

Step-by-step explanation:

The system of hypothesis on this case are:

Null hypothesis: $\mu_1 = \mu_2$

Alternative hypothesis: $\mu_1 \neq \mu_2$

Or equivalently:

Null hypothesis: $\mu_1 - \mu_2 = 0$

Alternative hypothesis: $\mu_1 -\mu_2\neq 0$

Our notation on this case :

$n_1 =5$ represent the sample size for group 1

$n_2 =5$ represent the sample size for group 2

We can calculate the mean and deviation for eaach group with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X_1 =5.92$ represent the sample mean for the group 1

$\bar X_2 =5.74$ represent the sample mean for the group 2

$s_1=1.88$ represent the sample standard deviation for group 1

$s_2=1.81$ represent the sample standard deviation for group 2

If we see the alternative hypothesis we see that we are conducting a bilateral test and with independnet samples t test.

b) independent samples t-test

The statistic is given by this formula:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{\sqrt{\frac{s^2_1}{n_1}}+\frac{S^2_2}{n_2}}$

And now we can calculate the statistic:

$t=\frac{(5.92 -5.74)-(0)}{\sqrt{\frac{1.88^2}{5}}+\frac{1.81^2}{5}}=0.154$

The degrees of freedom are given by:

$df=5+5-2=8$

And now we can calculate the p value using the altenative hypothesis:

$p_v =2*P(t_{8}>0.154) =0.881$

So with the p value obtained and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the mean of the group 1 (boys) is NOT significantly different than the mean for the group 2 (Girls).

7 0

4 years ago

Slope of (8,3) and (-4,3)

Mashutka [201]

Use the formula y2-y1/x2-x1.
3-3/-4-8
0/-12
The slope is 0, so the line is horizontal.

8 0

3 years ago

Read 2 more answers

The total surface area of a cube is 96cm2, find its volume.

Setler [38]

Answer:

$\huge\boxed{V=64cm^3}$

Step-by-step explanation:

The formula of a surface area of a cube:

$SA=6a^2$

The formula of a volume of a cube:

$V=a^3$

We have

$SA=96cm^2$

Calculate the edge length (<em>a</em>).

$6a^2=96$ <em>divide both sides by 6</em>

$a^2=16\to a=\sqrt{16}\\\\a=4(cm)$

Calculate the volume of a cube:

$V=4^3=64(cm^3)$

6 0

3 years ago

Tyler orders a meal that costs $15.

Papessa [141]

Answer:

There would be $ 0.99 sales tax on the meal.

Step-by-step explanation:

Given,

The cost of the meal ordered by him = $15,

sales tax rate percentage = 6.6%,

Thus, the amount of the sales tax = 6.6% of the cost of the meal

= 6.6% of 15

3 0

3 years ago