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3 years ago

Please help! I dont know how to work these problems-

Mathematics

1 answer:

Tema [17]3 years ago

7 0

29. It is discrete because you cant have a part of a marble, only a whole marble

30. This is continuous because you can have a portion of a year.

31. This is continuous because time can be broken down into smaller intervals

32. This is discrete because you cant have a part of a team. x values between the given ones would give you a fraction of a team.

33. In this graph, the line is not continuous. Therefore, because there is no point at 2.5, 2.5 is not in the domain.

34. Even though the graph ends at x=6, all possible values of x between 0-6 are accounted for, making the line continuous. So, the line is continuous.

35.
a. To find the domain, we have to solve for b first by making m=0. So, 0=55-8.5b
-55 = -8.5b, which is 55/8.5, or 110/17
So, the domain is 0<=x<=(110/117)
This is a discrete line because you can only have whole numbers for "b" because you can only buy whole books
b.(cant really graph it on here :P )
c. When x = 0, y = 55, and when x = 110/117, y = 0. So the range is 0<=y<=55

36.
a. Because there is no limit to the function, the domain is x>=0. The function is continuous because the time can be broken down into smaller intervals
b. (cant really graph it on here :P )
c. The range is y>=0 because the least x can be is 0, but it can keep increasing.

37.
a. This does represent a linear function because the distance increases by .434 miles at every interval (every 2 seconds)
b. The domain would be t>=0 because you can't have negative time, but you can wait infinitely long. This should be continuous because time and distance can be broken down into smaller intervals.
c. (cant really graph it on here :P )
d. The smallest t can be is 0, and when t=0, d=0. Because domain is infinite, range is also infinite. Therefore the range is d>=0

38.
a. It is linear because there is an 'x' input and 'y' output and there are no exponents in either variable.
b. x can equal 0, and it can be infinite. So, the domain is x>=0. It is discrete because you cant have a partial service, only a whole.
c. (cant really graph it on here :P )
d. When x=0, y=30. Because domain is infinite, range is also infinite. Therefore the range is y>=30

43.
a. If you subtract 61.20 from 71.40, you can see that every hour, the earnings increase by 10.20 dollars. Therefore, the missing value is 61.20-10.20, or 51.00
b. Every hour you get 10.20.

44.
a. This is not a linear function. This is because the function breaks at t=5, which should be 300 if it was following the original pattern, which was d=60t
When t=1, d=60
When t=3, d=180.
But, when t=5, in the function, it equals 300 while in actuality, it equals 300
b. He is correct because if Car A is still following the function, it would have only gone 300 miles, while Car B had gone 310 miles.

Hope this helped!! Let me know if any of this is unclear or if you're still having some trouble!! :D

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$z=\frac{0.733 -0.5}{\sqrt{\frac{0.5(1-0.5)}{30}}}=2.552$

$p_v =2*P(z>2.552)=0.0107$

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There is strong evidence that the proportion of songs downloaded by Ted and Suzanne differs from 0.5.

Step-by-step explanation:

Data given and notation

n=30 represent the random sample taken

X=22 represent the number of songs selectd at random

$\hat p=\frac{22}{30}=0.733$ estimated proportion of songs selectd at random

$p_o=0.5$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of random songs selected is 0.5 (random) or no.:

Null hypothesis: $p=0.5$

Alternative hypothesis: $p \neq 0.5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.733 -0.5}{\sqrt{\frac{0.5(1-0.5)}{30}}}=2.552$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level assumed for this case is $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

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4 years ago

Compare the graph of m(x) = 0.7x² + 4 with the graph of n(x) = x².

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Answer:

B.) The graph of m(x) is wider.

Both graphs open upward.

Both have the axis of symmetry x = 0.

The vertex of m(x) is (0, 4); the vertex of n(x) is (0, 0).

Step-by-step explanation:

When the coefficient before x² is greater than 1, the curve of the graph is narrower. When the coefficient is less than 1, the curve of the graph is wider.

When the coefficient in front of x² is positive, the graph opens upwards. When the coefficient is negative, the graph opens downwards.

The axis of symmetry is the "x" value which divides the curve into two equal sections. Their axis of symmetry are both x = 0 because their vertexes (the lowest point of the curve) are both at x = 0.

The vertex can be found by plugging x = 0 into both of the equations and then solving. The resulting value is the "y" position of the vertex.

m(0) = 0.7(0)² + 4 n(0) = (0)²

m(0) = 0 + 4 n(0) = 0

m(0) = 4

Therefore, the vertexes are m(x) = (0,4) and n(x) = (0,0).

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