Who has the correct experimental property?

a motorboat travels 371 kilometers in 7 hours going upstream. it travels 525 kilometers going downstream in the same amount of t

e-lub [12.9K]

Answer:

Speed of boat in still water = 64 km/hr

Speed of the current = 11 km/hr

Step-by-step explanation:

Let the speed of motorboat in still water = x km/hr

Let the speed of current = y km/hr

Motorboat travels 371 km in 7 hours going upstream.

Speed of motorboat while going upstream = speed of motorboat in still water - speed of current = (x-y)

=> $x-y = \frac{371}{7}$

=> $x-y = 53$ ------------------------------(1)

Motorboat travels 525 km in 7 hours going downstream.

Speed of motorboat while going downstream = speed of motorboat in still water + speed of current = (x+y)

=> $x+y = \frac{525}{7}$

=> $x+y = 75$ -----------------------------(2)

Solving for x and y from (1) and (2):

Adding (1) and (2):

2x = 128

=> x = 64

Substituting the value of x in (1), y = 11

6 0

3 years ago

Which of the following is equivalent to the inequality shown below?

VARVARA [1.3K]

Answer:

$4x + 0.9 \geq 0.1$ is equivalent to the inequality $40x+9 \geq 1$

Step-by-step explanation:

Given inequality : $4x + 0.9 \geq 0.1$

We are supposed to find Which of the following is equivalent to the inequality

$4x + 0.9 \geq 0.1$

$\Rightarrow 4x+\frac{9}{10} \geq \frac{1}{10}$

Multiply both sides by 10

$\Rightarrow 4(10)x+\frac{9}{10}(10) \geq \frac{1}{10}(10)$

$\Rightarrow 40x+9 \geq 1$

$4x + 0.9 \geq 0.1$ is equivalent to the inequality $40x+9 \geq 1$

So, Option B is true

B) $40x+9 \geq 1$

7 0

4 years ago

Based on the information from Harper's Index, 37 out of 100 adult Americans who did not attend college believe in extraterrestri

vazorg [7]

Answer: Yes, this indicate the proportion of adult americans that attended college and believe in extraterrestrials is higher than the proportion that did not attend college.

Step-by-step explanation:

Since we have given that

Hypothesis:

$H_0:p_1=p_2\\\\H_a:p_1>p_2$

n₁ = 100

x₁ = 37

So, $p_1=\dfrac{x_1}{n_1}=\dfrac{37}{100}=0.37$

n₂ = 100

x₂ =47

So, $p_2=\dfrac{47}{100}=0.47$

At 0.01 level of significance, z = 2.33

So, test statistic value would be

$z=\dfrac{p_1-p_2}{\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}}\\\\z=\dfrac{0.37-0.47}{\sqrt{\dfrac{0.37\times 0.63}{100}+\dfrac{0.47\times 0.53}{100}}}\\\\z=-1.44$

Since, 2.33>-1.44

Hence, we will reject the null hypothesis.

Therefore, Yes, this indicate the proportion of adult americans that attended college and believe in extraterrestrials is higher than the proportion that did not attend college

4 0

3 years ago

3) In September the ratio of the number of kids playing sports to those not playing sports after

Mrac [35]

Answer:

Step-by-step explanation:

My guess is that 10/36 students weren't playing sports.

4 0

2 years ago

To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperat

iogann1982 [59]

9514 1404 393

Answer:

F(x) = (9/5)x -459.67

Step-by-step explanation:

F(C(x)) = 9/5(x -273.15) +32

F(C(x)) = (9/5)x -459.67 . . . . . simplify

5 0

3 years ago