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Reptile [31]
3 years ago
14

The graph shows a scuba diver's ascent over time. Use the graph to find the slope of the line. Complete the description of what

the slope means in this context. Scuba Diver's Ascent Depth(m) Time(sec)​

Mathematics
1 answer:
Burka [1]3 years ago
6 0

Answer:

The slope of the line is <u>.25</u> This indicates that the diver <u>ascends</u> at a rate of <u>.25 </u>m/s.

Step-by-step explanation:

0 - (-10)

------------  == 10/40 == .25

40 - 0

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a square and a rectangle have the same perimeter.the square has a side length of 8xunits.the rectangle has a length of 5x+8 and
Daniel [21]
Perimeter of square = 4*8x=32x
Perimeter of rectangle = 2*(5x+8)+2*10=10x+16+20=10x+36
32x=10x+36
22x=36
x=36/22
P=4*8*36/22=2*8*36/11= 56.36 units

7 0
3 years ago
In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. In the survey,
balandron [24]

Answer:

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}

And for this case the confidence interval is given by: (0.275, 0.305)

We can estimate the proportion difference as:

\hat p_D = \frac{0.275+0.305}{2}=0.29

And the margin of error would be:

ME=0.305-0.29=0.015

So then for this case the possibl two options are:

We are 95% confident that the true difference in proportion of Latinos who view global warming as a serious problem and whites who view global warming as a serious problem is 27.5% to 30.5%.

We are 95% confident that the difference between Latino and white opinions about the severity of global warming is 29% with a margin of error of 1.5%.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion of Latinos who view global warming as a serious problem

\hat p_A=0.75 represent the estimated proportion Latinos who view global warming as a serious problem

n_A is the sample size required of Latinos who view global warming as a serious problem

p_B represent the real population proportion of white who view global warming as a serious problem

\hat p_B =0.46 represent the estimated proportion  of whitewho view global warming as a serious problem

n_B is the sample size required of white

z represent the critical value for the margin of error  

Solution to the problem

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}

And for this case the confidence interval is given by: (0.275, 0.305)

We can estimate the proportion difference as:

\hat p_D = \frac{0.275+0.305}{2}=0.29

And the margin of error would be:

ME=0.305-0.29=0.015

So then for this case the possibl two options are:

We are 95% confident that the true difference in proportion of Latinos who view global warming as a serious problem and whites who view global warming as a serious problem is 27.5% to 30.5%.

We are 95% confident that the difference between Latino and white opinions about the severity of global warming is 29% with a margin of error of 1.5%.

4 0
3 years ago
M&lt;1=146° Find m&lt;3 and explain how you know.
nalin [4]
<h3>Answer:  146 degrees</h3>

==========================================================

Explanation:

Angles 1 and 3 are vertical angles, which are always congruent.

Vertical angles form when we have an X shape like this. They are opposite one another. Angles 2 and 4 form the other pair of congruent vertical angles.

6 0
3 years ago
What is the slope of the line from the data shown in the table below? It’s question 9 by the way.
V125BC [204]

Answer:

Its b

Step-by-step explanation:

It is going up by 10

7 0
3 years ago
Help please some one
GaryK [48]

Answer:42

Step-by-step explanation:

16+16+10

8 0
2 years ago
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