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Nady [450]
4 years ago
7

State the x and y-intercepts of -2x + 5y= -10

Mathematics
1 answer:
vlabodo [156]4 years ago
5 0
X intercepts where y=0 , then -2x=-10, x= -10/-2, x= 5 ,
 A(5,0) is x intercepts

y intercepts where x=0, then 5y= -10, y= -10/5, y= -2,
 B (0, -2) is y intercepts
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Answer: 2/5
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Jay Spring pays $350.00 annually for his health insurance. This is 1/3 of the total cost of the premium; his company pays the re
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8 0
3 years ago
Read 2 more answers
Write the following sets in set-builder notation: (a) The set of all humans whose first name is Tanya or Nelson.
Ulleksa [173]

Answer:

Step-by-step explanation:

Set is a well defined collection of objects .

We can express set in roaster form or set - builder form

<u>Roaster Form</u>

We express elements within curly brackets using commas between the elements .

<u>Set Builder Form</u>

In set builder form , all the elements of the set possess a common property which is not possess by elements outside the set .

We describe the elements of set using a symbol x which is followed by a colon . After colon , we write property possessed by the element and then enclosed the description within curly brackets .

(a)The set of all humans whose first name is Tanya or Nelson

We need to write this one in set builder form .

Define set as follows : { x ∈ H : H is set of all the humans and x is either Tanya or Nelson }

5 0
3 years ago
A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience i
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Answer:

5.3%

Step-by-step explanation:

The final probability is calculated by means of the quotient of the specific combinations and the total of total combinations

Let's start with the specific ones,

First the number of combinations of 4 of the 30 students getting a spot, i.e .:

A combinations are equal to:

nCx = n! / x! * (n-x)!

Replacing:

30C4 = 30! / (4! * 26!) = 27405

Segundo the number of combinations of the other audience members filling the other 4 (8-4) spots n = 110, 140 - 30

110C4 = 110! / (4! * 106!) = 5773185

Now the total combinations of possible 8 contestants from the audience

140C8 = 140! / (8! * 132!) = 2.98 * 10 ^ 12

Finally, the probability is equal to:

P = (30C4 * 110C4) / 140C8

replacing:

P = 27405 * 5773185 / 2.98 * 10 ^ 12

P = 0.053

Therefore the probability is 5.3%

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4 years ago
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