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viktelen [127]
3 years ago
15

What restrictions are there on the range of the function H(w) below?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0

Answer:H(w) > 0

Step-by-step explanation:

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A trailer will be used to transport several 40-kilogram crates to a store. The greatest amount of weight that can be loaded onto
nikklg [1K]

Answer:

24

Step-by-step explanation:

The total capacity of the trailer is 1,050 kg.

An 82-kg crate is already loaded on the trailer.

We subtract 82 kg from 1,050 kg to find out the amount of weight still available.

1,050 kg - 82 kg = 968 kg

The trailer can still carry another 968 kg.

Each additional crate weighs 40 kg.

We divide 968 kg by 40 kg to calculate the number of crates that can still be loaded.

(968 kg)/(40 kg) = 24.2

Since we cannot place 0.2 of a crate, we round 24.2 down to 24.

5 0
3 years ago
According to a Pew Research Center study, in May 2011, 35% of all American adults had a smart phone (one which the user can use
taurus [48]

Answer:

z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82  

p_v =P(z>1.82)=0.034  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis

And the best conclusion would be:

There is enough evidence to show that more than 35% of community college students own a smart phone (Pvalue = 0.034).

And for the second case the correct system of hypothesis is:

H0: p = 0.078; Ha: p > 0.078

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

\hat p=\frac{120}{300}=0.4 estimated proportion of college students that have a smart phone

p_o=0.35 is the value that we want to test

\alpha=0.1 represent the significance level

Confidence=90% or 0.90

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 proportion is >0.35.:  

Null hypothesis:p\leq 0.35  

Alternative hypothesis:p > 0.35  

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{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82  

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 provided \alpha=0.1. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>1.82)=0.034  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis

And the best conclusion would be:

There is enough evidence to show that more than 35% of community college students own a smart phone (Pvalue = 0.034).

And for the second case the correct system of hypothesis is:

H0: p = 0.078; Ha: p > 0.078

4 0
3 years ago
Y= 4x + 3<br> y= -x - 2<br><br> solve the system of linear equation by graphing
m_a_m_a [10]

Answer:

(-1, -1)

Step-by-step explanation:

To solve a system of equations by graphing, first graph the lines. Then, find where the two lines hit each other. This is called the "point of intersection", which is the solution. Mark this point's coordinates as an ordered pair (x, y) for your answer.

The equations are in slope-intercept form y = mx + b.

"x" and "y" are points on the line.

"m" is the slope, which equals to \frac{rise}{run}.

"b" is the y-intercept, where a line hits the y-axis.

For y = 4x + 3 (blue):

b = 3. This first point is at "3", on the y-axis. Draw a dot there. Use the slope to get another point.

m = 4. Write it as a fraction to get the rise and run values.

m=\frac{4}{1}

From your first point, "rise" (go up) 4 squares, and "run" (go right) 1 squares. Put a dot here too.

Now, you can <u>connect the two points</u> to form a straight line. Remember to put arrows at the ends of the line.

For y = -x - 2 (red):

b = -2. This first point is at "-2", on the y-axis. Put a dot here.

Let's find the next point using the slope.

m = -1. Write it as a fraction to get the rise and run values.

m=-\frac{1}{1}

From your first point, "rise" -1 squares. This means to go down 1 square because the fraction is negative. "Run" (go right, same as before) 1 square. Draw your second point here.

Now, you can <u>connect the two points</u> to form a straight line. Remember to put arrows on the line again.

Extend the lines (keep making them longer) until they hit each other. Where they meet is the solution of the system.

The solution is (-1, -1).

3 0
2 years ago
You keep a record of all transactions in your checking account, including checks written, deposits made, fees paid, ATM withdraw
kaheart [24]

Answer:

b

Step-by-step explanation:

8 0
2 years ago
y=−2x+4 iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
GalinKa [24]

Answer:

2x+y=4

Step-by-step explanation:

7 0
2 years ago
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