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Andrej [43]
2 years ago
11

How do you write the equation of the horizontal line passing through (1,9)?

Mathematics
1 answer:
Leviafan [203]2 years ago
4 0

he equation of any horizontal line is

y = .. a number

The x-value has no effect on the equation or on the line at all, as long as y-value stays the same.

In this case the line passes though the point (−8,9)

which tells us that the y-value we want is 9.

Therefore the equation is y=9

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What is 180% as a decimal
bazaltina [42]

Answer:

1.80 this is the correct answer

7 0
3 years ago
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A company surveyed 2400 men where 1248 of the men identified themselves as the primary grocery shopper in their household. ​a) E
polet [3.4K]

Answer:

a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

c) \alpha =1-0.98=0.02

Step-by-step explanation:

If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:

p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq  p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }

Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and z_{\alpha/2} is the z-value that let a probability of \alpha/2 on the right tail.

Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, \alpha by 0.02 and z_{\alpha/2} by 2.33

Where p' and \alpha are calculated as:

p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02

So, replacing the values we get:

0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq  p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438

With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.

The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.

Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence 1-\alpha is equal to 98%

It means the the level of significance \alpha is:

\alpha =1-0.98=0.02

4 0
3 years ago
The value of the 8th term is 78.
trapecia [35]

Answer:

108

Step-by-step explanation:

4 0
3 years ago
According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by ​%87 to ​
ch4aika [34]
X*1.87= 572
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6 0
3 years ago
Can someone please help me with this?
MrMuchimi

Answer:

a. 3, 100 degrees

- I know 6 is 100 degrees and angle 3 is identical to angle 6. Therefore, angle 3 is 100 degrees.

b. 6, 100 degrees

- Angle 3 and 6 are identical. This means angle 6 is 100 degrees.

c. 4, 80

- Knowing a straight line is 180 degrees and all other angles are 100 degrees, I subtracted 180-100 = 80 degrees

Step-by-step explanation:

Everything was explained above, but be sure to know...

       N

W             E

       S

- Hope that helps! Please let me know if you need further explanation.

5 0
2 years ago
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