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AlekseyPX
3 years ago
13

Think about the numbers -10 and 10. How could you describe these numbers? What is the same and what is different about these num

bers
Mathematics
1 answer:
Sveta_85 [38]3 years ago
6 0

Answer:

1. The two numbers are the additive inverse of each other.

2. The two numbers are real numbers but the signs before them show that they are the opposite of each other.

Step-by-step explanation:

The Additive inverse of a number is that number which is added to it to give the result, 0. The number bears the opposite sign. To obtain the additive inverse of a number, simply multiply it by -1. For example, the additive inverse of 10 is;

10 * -1 = -10

The numbers 10 and -10 are real numbers, because real numbers tend to bear the opposite sign.

Addition of 10 and -10 will yield zero. This is characteristic of additive inverse.

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What is the common difference for this arithmetic sequence?54,50,46,42,38,...​
drek231 [11]

Answer:

Minus each number to figure out the common difference which is -4.

54-4= 50

50-4= 46

46-4= 42

42-4= 38

3 0
3 years ago
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5
miskamm [114]

Answer:  

z=-3.25

p_v =2*P(z  

Step-by-step explanation:  

1) Data given and notation  

\bar X=5.24 represent the mean production for the sample  

\sigma=0.32 represent the sample standard deviation for the sample  

n=16 sample size  

\mu_o =5.5 represent the value that we want to test  

\alph=0.05a represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean production is different from 5.5 tons, the system of hypothesis would be:  

Null hypothesis:\mu =5.5  

Alternative hypothesis:\mu \neq 5.5  

If we analyze the info given we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{5.24-5.5}{\frac{0.32}{\sqrt{16}}}=-3.25  

P-value

Since this is a two side test the p value would be:  

p_v =2*P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the production its significant different compared to the desired percentage of SiO2 of 5.5 at 5% of signficance.  

7 0
3 years ago
I need some help please so confused new topic
Zielflug [23.3K]
I think you multiply length times width if not I am sorry. I think the answer is 30. Sorry if it isn’t
5 0
2 years ago
Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predic
Dvinal [7]
<span><span>1.       </span>So the current population of the town is 15 200 and is growing per year with 2%.
Find the population number after 10 years.
First, let’s find the value of 2%  in decimal form
=> 2/100
=> 0.02

Now, let’s try to solve
Population = 15 200 ( 1 + (0.02 x 10) )
Population = 15 200 ( 1 + 0.2 )
Population = 15 200 + 3040
Population =  18 240
Thus, in 10 years, the town’s population will increase to 18 240.



</span>



3 0
3 years ago
Read 2 more answers
What’s the answer to this question
Nataly_w [17]
     6 x^{3} + 3x + 5
-    2x^{2} + 6x + 5
-----------------------------------------
      4x - 3 + 0
5 0
3 years ago
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