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Gwar [14]
3 years ago
10

Simplify 5y^2 + 5y + 5y + 5x^2.

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Answer:

5y^2 + 10y + 5x^2

Step-by-step explanation:

there's only two like terms that can be combined.

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Which is bigger, one fourth of 16 or one third of 24? Explain and show work please.
adoni [48]
1/4 x 16
= 16 ÷ 4
= 4

1/3 x 24 
= 24 ÷ 3
= 8

8 is greater than 4, so one third of 24 is bigger than one fourth of 16
feel free to ask questions if you are still confused!


3 0
3 years ago
Read 2 more answers
In a factory there are 100100 units of a certain product, 55 of which are defective. We pick three units from the 100 units at r
Nadya [2.5K]

Answer:

There is a 33.67% probability that exactly one of them is defective.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Here, we can have different formats. For example, D-ND-ND is the same as ND-D-ND, that is, the ordering is not important. So we use the combinations formula.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes

One defective(one from a set of 55) and two non defective(two from a set of 45). So

D = C_{55,1}*C_{45,2} = \frac{55!}{54!1}*\frac{45!}{43!2!} = 55*45*22 = 54450

Total outcomes

Three from a set of 100. So

T = C_{100,3} = \frac{100!}{97!3!} = 161700

What is the probability that exactly one of them is defective

P = \frac{D}{T} = \frac{54450}{161700} = 0.3367

There is a 33.67% probability that exactly one of them is defective.

4 0
3 years ago
In a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted o
Maksim231197 [3]

Answer:

324

Step-by-step explanation:

given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"

i.e. Sample proportion p=0.74\\q =1-p =0.26\\

Margin of error = 4% = 0.04

Confidence level =90%

Z critical value for 90% = 1.645

Margin of error = 1.645 * std error

Hence std error = \frac{0.04}{1.645} \\=0.0243

Std error is also equal to

\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.74(0.26)}{n} } =0.0243\\\sqrt{n} =18..05\\n = 325.83~324

Sample size should be 324.

The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2

3 0
4 years ago
Which letter on the number line represents one and eighty five hundredths?
Igoryamba

Answer: c is correct .

Step-by-step explanation: c is correct .

6 0
3 years ago
Read 2 more answers
What is X for this 4x/3-3x+1=10
pashok25 [27]

Answer:

x = 1

Step-by-step explanation:

(4x/3) - 3x + 1 = 10

(4x/3) -3x = 9

4x - x = 3

3x = 3

x = 1

7 0
3 years ago
Read 2 more answers
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