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Elina [12.6K]
4 years ago
7

Is the ordered pair left parenthesis 4 comma negative 1 right parenthesis(4,−1) a solution of the following system of​ equations

?
3 x plus 5 y equals 73x+5y=7
5 x minus 3 y equals 175x−3y=17
Mathematics
1 answer:
blondinia [14]4 years ago
7 0

Answer:

No

Step-by-step explanation:

(x,y)=(4,-1)

73x+5y=7

73*4+5*(-1)=287

287\neq 7

____________________________

175x−3y=17

175*4-3*(-1)=703

17\neq 703

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A quality control inspector has drawn a sample of 10 light bulbs from a recent production lot. Suppose 20% of the bulbs in the l
Neko [114]

Answer:

The probability is 0.0008.

Step-by-step explanation:

Let X represents the event of defective bulb,

Given, the probability of defective bulb, p = 20 % = 0.2,

So, the probability that bulb is not defective, q = 1 - p = 0.8,

The number of bulbs drawn, n = 10,

Since, binomial distribution formula,

P(x=r) = ^nC_r p^r q^{n-r}

Where, ^nC_r = \frac{n!}{r!(n-r)!}

Hence, the probability that exactly 7 bulbs from the sample are defective is,

P(X=7)=^{10}C_7 (0.2)^7 (0.8)^{10-7}

=120 (0.2)^7 (0.8)^3

=0.000786432

\approx 0.0008

6 0
3 years ago
write story about santa cluse and how you blelife when you are 4 or 5 years old .and how you change your mind right know
belka [17]

Answer:

Growing up i all ways have believed in Santa Claws it was so nice to get presents and clothes and it was something fun to look forward to every year and would also keep me on my best behavior. But as iv grown up, iv been told that Santa is fake when i heard this i was devastated,  but now i realize that Christmas is not about toys and candy, it is about the Lord and Saviors birth. so i dont need a Santa Claws to have a good Christmas, i just need a family to spend time with.

Hope this helped, have a nice day!


4 0
3 years ago
908 times 405<br>303 times 3567<br>234 times 56
expeople1 [14]
Hi , 908 times 405 equals to 367,740
303 times 3567 equals to 1,080,801 and 234 times 56
equals to 13,104.

6 0
3 years ago
Read 2 more answers
Which of these supporting details BEST fits after sentence 2?
jeyben [28]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
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The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults. On a certain day
GaryK [48]

Answer:

Number of child tickets =  800

Number of adult tickets = 330

Step-by-step explanation:

Let c = number of child tickets

and  a= the number of adult tickets.

We are given:

The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults.

On a certain day, 1,130 enter the festival and 2, 520 is collected.

Making equations:

c+a=1130 (because total people entered are 1130, so adding number of adult and child tickets will give us total number of people)

1.50c+4.00a=2520  (because total money collected is 2520, so adding coat of adult and child tickets will give us total money)

Now, solving these equations simultaneously, we can find values of x and y

Let:

c+a=1130--eq(1)\\1.50c+4.00a=2520--eq(2)

From equation 1 find value of c and put it in eq(2)

c+a=1130\\c=1130-a

Putting value of c in eq(2)

1.50c+4.00a=2520\\Put\:c=1130-a\\1.5(1130-a)+4a=2520\\1695-1.5a+4a=2520\\-1.5a+4a=2520-1695\\2.5a=825\\a=\frac{825}{2.5}\\a=330

So, we get value of a = 330

Now, punting value of a in eq(1) to get value of c

c+a=1130\\c+330=1130\\c=1130-330\\c=800

So, we get value of c = 800

Therefore:

Number of child tickets = c= 800

Number of adult tickets = a = 330

4 0
3 years ago
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