No be because the denominator it an odd number and you can't divide an odd number hope i helped in anyway
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Answer:
A. a + c ≥ 70; 15a + 4c ≤ 1000
Step-by-step explanation:
<u>Given data:</u>
A community action committee is planning a block party
The party will be successful if at least 70 adults (a) and children (c) attend
Their budget for the party is $1,000
The cost for each adult will be $15
And the cost for each child will be $4
<u>Solution:</u>
<u />
At least 70 adults and children attend.
So the inequality here is a + c ≥ 70
The budget for the party is $1,000.
So the cost for all adults plus the cost for all children cannot exceed $1,000
And hence the inequality here is; 15a + 4c ≤ 1,000
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
Start by completely ignoring the paralelagram.
Let's choose the top triangle as our starter.
To get the top triangle to the position of the bottom triangle, you must translate it.
First, find how many units the first triangle must move down to reach the same level as the bottom triangle, (i'll let you figure it out bu numbering this as a question) 1.<u> </u>
Next, your first triangle should need to move left to reach the position of the second triangle. How many units left does the first triangle need to move?
2.<u> </u>
<u>You moved the first triangle *Blank* units down and *Blank* units left.</u>
Lastly, you need to look at your paralelagram.
Take the same movements you did with the two triangles and transfer them to the nessacary point of the paralelagram.
<em><u>If you need and extra help, or need more explanation, ask in the comments section. I also recomend that you tell me what you got as your answers to one and two so that you can make sure you got the answer correct.</u></em>
<span>
y = 7 + 3/5
y = 35/5 + 3/5
y = 38/5
y = 2*(38/5)
y = 76/10
---
lunch time:
z = 1/2
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
answer:
1.07 hours</span>
