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spin [16.1K]
3 years ago
10

Write the equation of the line passing through the two points. Show that this line is perpendicular to the given line.

Mathematics
1 answer:
il63 [147K]3 years ago
5 0
Write the equation of the line passing through the two points. Show that this line is perpendicular to the given line.

(4,1) and (6,-5) y=1/3x-7

(1,-6) and (3,-10) y=1/2x-5

Please help, we learned this today and I’m really confused. How do you do it?

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1. A heterozygous white-fruited squash plant is crossed with a yellow-fruited plant, yielding 200 seeds. of these seeds, 110 pro
garri49 [273]

Answer:

Part 1 , not significant

Part II, significant

Step-by-step explanation:

Given that a  heterozygous white-fruited squash plant is crossed with a yellow-fruited plant, yielding 200 seeds. of these seeds, 110 produce white-fruited plants while only 90 produce yellow-fruited plants

H_0: Both colours are equally likely\\H_a: Both colours are not equally likely

(Two tailed chi square test)

We assume H0 to be true and find out expected

If H0 is true expected would be 100 white and 100 yellow

Chi square = \Sigma \frac{(O-E)^2}{E} \\=\frac{(110-100)^2}{100} +frac{(90-100)^2}{100} \\=2

df = 1

p value = 0.152799

Since p value > 0.05 at 5% level we accept that the colours are equally likely

2)

Here observed are 1100 and 900

Expected 1000 & 1000

df = 1

Chi square = \frac{20000}{100} =200

p value <0.0001

These results are here statistically significant.

8 0
3 years ago
6th grade math ! help me please :)
malfutka [58]
1. N + 2; n = 6: the answer is 8 because n=6 so we sub n with that... and we get 6+2 and that’s 8.

2.5f; where f=4: the answer is 20 because when a variable is directly next to a number it is multiplied by that number so we will replace f with 4 and our equation is now 5(4) or 5•4 and both are equivalent to 20.

3. 7b-2; where b=5: the answer is 33 because 7 multiplied by 5(b) minus 2= 7(5)-2 or 7•5-2= 33 because you will multiply 7 by 5 and get 33 then you will subtract by 2 and get 33.

Hope this helps!!!
7 0
3 years ago
Is -2 considered a real number
lyudmila [28]

Yes. If we wanted to get even more specific, -2 is an integer, which falls under the label of the real numbers. √-2, on the other hand, is an imaginary number. The square root of -1 doesn't exist in the real numbers, so we invent a new number i with the property that i² = -1. Blending real and imaginary numbers together creates <em>complex numbers, </em>numbers with a real and imaginary part. This extension of the number system is tremendously useful because it essentially makes numbers two-dimensional, allowing us to manipulate and study them through a geometric lens.

5 0
3 years ago
If copies of all your computer data are stored on four independent hard disk​ drives, what is the probability that during a​ yea
Natasha2012 [34]

Answer:

P(Atleast\ 1) = 0.9999992

Step-by-step explanation:

Given

p = 3\% --- rate of hard disk drives failure

n = 4 --- number of hard disk drives

<em>See comment for complete question</em>

Required

P(Atleast\ 1)

First, calculate the probability that the none of the 4 selected is working;

P(none) = p^4

P(none) = (3\%)^4

P(none) = (0.03)^4

Using the complement rule, the probability that at least 1 is working is:

P(Atleast\ 1) = 1 - P(none)

This gives:

P(Atleast\ 1) = 1 - 0.03^4

P(Atleast\ 1) = 0.9999992

5 0
3 years ago
Austin is saving money to buy a new bike. He needs $120 but has only saved 60% so far. How much more money does Austin need to b
IgorLugansk [536]
You have to find 60% of 120, which is 72. Then subtract 72 from 120 to find the difference, which is 48. So Austin would need $48 to buy the bike. Hope this helped! :)
6 0
3 years ago
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