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vlabodo [156]
3 years ago
11

Choose the inequality that represents the following graph

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

Answer: A

Step-by-step explanation: The reason is when the circle is empty, it means it isn't equal to and is either only less than or greater than, when the circle is full, it means it can be less than or equal to 5.

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There were 2430 Major League Baseball games played in 2009, and the home team won the game in 53% of the games. If we consider t
Ivahew [28]

Answer:

z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{2430}}}=2.958  

p_v =P(Z>2.958)=0.0015  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion is significantly higher than 0.5 .  

Step-by-step explanation:

1) Data given and notation  

n=2430 represent the random sample taken

\hat p=0.53 estimated proportion when the home team won the game

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 (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is higher than 0.5 or 50%:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 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.

3) Calculate the statistic  

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

z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{2430}}}=2.958  

4) 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=0.05. 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>2.958)=0.0015  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion is significantly higher than 0.5 .  

8 0
3 years ago
A bowling ball has a diameter of 8.5 inches. If it is rolled down a 60 foot bowling lane, how many complete revolutions will it
Lemur [1.5K]

Answer:

85

Step-by-step explanation:

12 in = 1 ft

first you need to convert 60ft to in:

60 * 12 = 720in

then divide 720(the amount of space you are covering by 8.5

720/8.5 = 84.7

then i guess you can round it to a full revolution so it would be 85

4 0
3 years ago
Let R={0, 1, 2, 3) be the range of h(x) = x-7. The domain of h-'(x) is
Elza [17]

anser: ange(1,10,2) - 1 to 9 with a gap of 2 numbers each so it yields - 1,3,5,7,9 2. [-2,-4,-6,-8,-10] - range(-2,-11,-2) 3. (i) range(4,20)[2:5] - Generates the list of number…

example: What sequence of numbers is equivalent to the given ranges?

range(1,10,2)

2.Express the following as a range.

[-2,-4,-6,-8,-10]

3.What do each of these expressions yield?

(1) range(4,20)[2:5] (2) list(range(10,60,4)[-2:1:-4] (3) range(3,12,4)[2]

(4) range(0,9,2)[:] (5) range(2,20)[-2:-10:-1] (6) range(3,18,2)[::2]

(7) range(1,33,6)[1::2] (8)range(-5,20,3)[-8:5:2]

8 0
2 years ago
Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo
Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

<em><u>Solution:</u></em>

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combinations is:</u></em>

n C_{r}=\frac{n !}{r !(n-r) !}

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

<em><u>Substituting values in above formula, we get</u></em>

\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}

For a number n, the factorial of n can be written as,

n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1

Therefore, we get

7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0
3 years ago
How can you use what you know about square numbers to find the square root of a non-perfect square number
Harrizon [31]
Finding the square<span> root of a </span>number<span> is the inverse operation of squaring that </span>number<span>. Remember, the </span>square<span> of a </span>number<span> is that </span>number<span> times itself. The perfect squares are the squares of the whole </span>numbers<span>. The </span>square<span> root of a </span>number<span>, n, written below is the </span>number<span> that gives n when multiplied by itself.

</span>
3 0
3 years ago
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