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IrinaVladis [17]
3 years ago
14

Determine if the following graph is a function

Mathematics
2 answers:
sweet [91]3 years ago
8 0

9514 1404 393

Answer:

  yes, it is a function

Step-by-step explanation:

A graph represents a functional relationship if no vertical line intersects the graph in more than one point. A horizontal line passes this "vertical line test," so represents a function.

yuradex [85]3 years ago
3 0

Answer:

Step-by-step explanation:

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a group of a hundred people some students and some faculty attending museum opening each student paid $10 per person for entranc
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We suppose that every one paid $10 for entrance. So the total paid should be $1000. Now there is $300 more. The faculty should pay $15 more than student. So the faculty number is $300/15=20. Then the number of student is 80.
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A figure is shown.<br> What is the measure of ZA, in degrees?
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Find the radius and the circumference to the nearest hundredth when d ≈ 3.4 in. Use 3.14 for π.
valentina_108 [34]
Radius = d/2 = 1.7 in

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4 0
2 years ago
John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age. How old is each person if their ages add up to 167?
kogti [31]

Solution:

we are given that

John is 3 years older than Jim. Jim is 4 years less than half of Dana’s age.

Let the age of Jim be x years then we can say

Age of John=x+3

If diana Age is D then

x=D/2-4

It can be re-wriiten as

Diana age D=2x+8

Given that  their ages add up to 167

x+x+3+2x+8=167\\&#10;\\&#10;4x+11=167\\&#10;\\&#10;4x=167-11\\&#10;\\&#10;4x=156\\&#10;\\&#10;x=39\\

Hence jim is 39 nyears old, John is 39+3=42 years old. and Diana is 2*39+8=78+8=86 years old.

3 0
3 years ago
A batch of 40 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the chips do not conform to custome
butalik [34]

Answer:

a) 658008 samples

b) 274050 samples

c) 515502 samples

Step-by-step explanation:

a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.

So, the number of samples = ⁴⁰C₅ = 658008 samples

b) How many samples of 5 contain exactly one nonconforming chip?

There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways

¹⁰C₁ = 10 ways

then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways

³⁰C₄ = 27405 ways

So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples

c) How many samples of 5 contain at least one nonconforming chip?

The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)

Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples

Total number of samples = 658008

The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples

6 0
3 years ago
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