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leva [86]
4 years ago
12

True or False: All rectangles are parallelograms.

Mathematics
1 answer:
Gnoma [55]4 years ago
7 0
It is False. :) hehehehe
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15. The average speed that a tsunami (a large tidal wave) travels is represented
irina [24]

Correct question :

The average speed that a tsunami (a large tidal wave) travels is represented

by the functions = (200d)^1^/^2 where s is the speed (in miles per hour) that the tsunami is traveling and d is the average depth (in feet) of the wave.

a. Find the inverse of the function.

b. Find the average depth of the tsunami when the recorded speed of the wave is 250 miles per hour.

Answer:

a) d = \frac{s^2}{200}

b) 312.5 ft

Step-by-step explanation:

Given:

Average speeds, s = (200d)^1^/^2

a) To find the inverse of the function.

s = (200d)^1^/^2

s² = 200d

200d = s²

d = \frac{s^2}{200}

Therefore, inverse of the function =

d = \frac{s^2}{200}

b) average depth when speed is 250 miles per hour.

Average depth = d

Therefore, let's use the formula :

d = \frac{s^2}{200}

= \frac{250^2}{200}

= \frac{62500}{200}

d = 312.5 feet

The average depth when speed is 250 miles per hour is 312.5 ft

3 0
3 years ago
Read 2 more answers
Question 4 please:<br> Witch numbers in the box are multiple of 3
umka21 [38]

Answer:

6 AND 12

Step-by-step explanation:

3 x 2 = 6

3 x 4 = 12

4 0
4 years ago
Read 2 more answers
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0
4 years ago
What is the final amount if 975 is increased by 1% followed by a further 9% increase?
alexgriva [62]
975 x 1.01 = 984.75
984.75 x 1.09 = 1073.38
3 0
4 years ago
What is the solution of this system of linear equations?
Allisa [31]

Answer:

(O,2)

Step-by-step explanation:

So I signed in to iReady did the question and got it right.

7 0
3 years ago
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