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sergeinik [125]
2 years ago
7

Denali

Mathematics
1 answer:
Neko [114]2 years ago
8 0

Answer:

above the sea level means height than the sea and below sea level means lower than sea height

You might be interested in
Line m passes through the points (-4.3) and (4.7). What is the slope of the line that is parallel to line m?
Savatey [412]

Step-by-step explanation:

slope equals to change in y/change in x

slope=7-3/4+4

=4/8=1/2

4 0
2 years ago
Write an equation for the line (in slope-intercept form) that passes through the given point with the slope m. (0, -7); m = -7
Alina [70]

Answer:

y= -7x -7

Step-by-step explanation:

All line equations can be represented in the form y = mx + c where a is the gradient or slope and b is the y intercept. (letters used for m and c may vary)

You have been given the slope, = -7 which you can put into y=mx+c

y = -7x + c

The function of a line ^^ means that for any values of x, you multiply it by -7 and add -7. The given coordinates means that when x =0, y = -7. So you can plug these into y = -7x + c , -7 = -7(0) + c . Therefore c = -7

Alternatively, since the value for c is the y intercept, the coordinates immediately give you the answer c. x = 0 which means taht the line intercepts the y axis when y = -7. hence the y intercept = -7

6 0
3 years ago
Gus and Ike carried a total of 84 books to the library. If Gus carried 5 as many books as Ike, how many books did they each carr
Alexus [3.1K]

Answer:

They each carried 25 books each.

Step-by-step explanation:

You get this by doing

84/5=16.8

then you do

84/2/5= 8.4

8.4+16.8=25.2

but round to whatever 5 or higher bump up below 5 keep the same

so your answer results in 25.

3 0
3 years ago
scores on the act college entrance exam follow a bell-shaped distribution with mean 18 and standard deviation 6. Wayne's standar
WITCHER [35]

Answer:

His actual score is 15

Step-by-step explanation:

Here, we are interested in calculating Wayne’s actual score on the ACT

when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.

Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.

The formula for the z-score or standard score is given below;

z-score = (x - mean)/SD

where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6

So, substituting these values into the z-score equation, we have;

-0.5 = (x-18)/6

x-18 = 6(-0.5)

x -18 = -3

x = -3 + 18

x = 15

7 0
2 years ago
In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%
lions [1.4K]

Answer:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

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 represent the real population proportion of interest

\aht p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

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{\hat p(1-\hat p)}{n}})  

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:  

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)

And replacing into equation (b) the values from part a we got:  

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

6 0
2 years ago
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