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umka21 [38]
3 years ago
15

Write the following equation in the general form ax by c = 0. y - x - 1 = 0

Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

If you would like to write y - x - 1 = 0 in the general form, you can do this using the following steps:

The general form of the equation is: ax + by + c = 0.

y - x - 1 = 0

-x - y - 1 = 0


The correct result would be <span>-x - y - 1 = 0</span>.

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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts
kirill115 [55]

Answer:

z=\frac{4.5-4.6}{\frac{1.1}{\sqrt{860}}}=-2.666    

p_v =2*P(Z  

If we compare the p value and the significance level given \alpha=0.02 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 true mean is different from 4.6 at 2% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.5 represent the sample mean

\sigma=1.1 represent the population standard deviation

n=860 sample size  

\mu_o =4.6 represent the value that we want to test

\alpha=0.02 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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal or not to 4.6, the system of hypothesis would be:  

Null hypothesis:\mu = 4.6  

Alternative hypothesis:\mu \neq 4.6  

If we analyze the size for the sample is > 30 and 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{\sigma}{\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{4.5-4.6}{\frac{1.1}{\sqrt{860}}}=-2.666  

P-value

Since is a two sided test the p value would be:  

p_v =2*P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.02 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 true mean is different from 4.6 at 2% of signficance.  

5 0
3 years ago
Solve for x? Round to the nearest tenth
Vadim26 [7]

Answer:

24.8

Step-by-step explanation:

Hypothenus = opposite length / sin theta

x = 12 / sin (29)

x= 24.75

Round it to 24.8

7 0
3 years ago
Greta mastered 40% of the math items on her first try. If she mastered 66 items, how many are there in all?
kumpel [21]
The answer is 165 because you take 66 and multiply it by .40 and you end up with 165. (.40 because percent means of one hundred so you make 40 to .40 )

3 0
3 years ago
Read 2 more answers
Find the product by using suitable properties 15 x (-25) x (-4) x (-10)
Colt1911 [192]

Answer:

−15000

Step-by-step explanation:

Solution:

15×(-25) = -375

(-4)×(-10)= -40

-375×-40= -15000

7 0
3 years ago
The co-ordinates of the point where the line y=x+4 crosses the y-axis​
OverLord2011 [107]

Answer:

Therefore the required point where it crosses y-axis is (0 , 4)

Step-by-step explanation:

Given:

y=x+4   ...............Equation of line

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

There are two intercepts:

x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.

y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.

For a line crosses Y-axis we have,

y=x+4  

Put x = 0 in above equation we get

y=0+4=4\\y=4

Therefore the required point where it crosses y-axis is (0 , 4)

4 0
3 years ago
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