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Stells [14]
4 years ago
6

A container ship has to make 2 deliveries then return to the pier it started from. The boat travels 8 miles straight north to it

s first stop. The nexi delivery is directly across the river 3 miles straight west. What angle must the boat travel at to get back to the pier it started from?​
Mathematics
1 answer:
oksano4ka [1.4K]4 years ago
6 0
Straight north is the answer
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Three times the sum of b and f, can also be written as:
Rudik [331]
3(b+f) you just do the sum and times it by 3
6 0
3 years ago
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Does this converge or diverge? Which of the follow test will be used to figure out the equation?
PSYCHO15rus [73]

From the listed choices, you can prove the series diverges using either the integral or <em>p</em>-series test.

  • Integral test:

We have

\displaystyle\sum_{n=1}^\infty\ge\int_1^\infty\frac{\mathrm dx}{\sqrt x}=\lim_{x\to\infty}2\sqrt x-2

which diverges to infinity, so the series is divergent.

  • <em>p</em>-series test:

The series

\displaystyle\sum_{n=1}^\infty\frac1{n^p}

converges only for p>1. In the given sum, we have p=\frac12, so the series is divergent.

7 0
3 years ago
Least to greatest;]
alexandr1967 [171]

Answer:

Least to greatest is: 0.0625, 6.75% and \frac{7}{10}.

Step-by-step explanation:

Given:

The three quantities to compare are:

6.75%, 0.0625, and \frac{7}{10}

Let us convert each into percentage.

6.75% is already in percentage.

We multiply a number by 100 to convert it to percentage form.

So, 0.0625\times 100=6.25\%

\frac{7}{10}\times 100=\frac{700}{10}=70\%

Now, on comparing all the three percentage, we conclude that,

70% is the greatest and 6.25% is the least.

So, order from least to greatest is:

6.25\%

5 0
3 years ago
Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why To
Mkey [24]

Answer:

a. The mean refractory period= 1.85 and the standard error = 0.06455

b.  90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment = 1.6981, 2.0019

c. Yes, the data give good evidence to support this theory

Step-by-step explanation:

a.  The table below shows the calculations:

                 X                (X-mean)^2

                1.7             0.0225

                1.8                 0.0025

                1.9                 0.0025

                2.0                 0.0225

Total        7.4                  0.05

Sample size: n=4

The mean is:  \bar{x} = \frac{7.4}{4} = 1.85

The sample standard deviation, s = \sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=0.1291

The standard error, se= \frac{s}{\sqrt{n}}=\frac{0.1291}{2} = 0.06455

b. Degree of freedom: df = n-1 = 3

Critical value of t for 90% confidence interval is: 2.3534

The confidence interval is  \bar{x}\pm t_{c}se = 1.85\pm 2.3534\cdot 0.06455=1.85\pm 0.1519 = (1.6981, 2.0019)

c. The Hypotheses are:

H_{0}:\mu=1.3,H_{1}:\mu>1.3

So the test statistics will be

t=\frac{\bar{x}-\mu}{s/\sqrt{n}}=8.52

The p-value is: 0.0017

We reject the null hypothesis because p-value is less than 0.05 . This indicates that the data gave good evidence to support this theory.

4 0
3 years ago
I NEED HELP ON THIS A.S.A.P !!!!!!!! will give brainleist!!!
blsea [12.9K]

Answer:

D

Step-by-step explanation:

30.20 * 15% (or 0.15) = 4.53

4.53 is about 4.50

6 0
4 years ago
Read 2 more answers
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