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guajiro [1.7K]
3 years ago
8

Solve -2(t+2)+5t=6t+11

Mathematics
2 answers:
Snezhnost [94]3 years ago
6 0

Answer:

t=-5

Step-by-step explanation:

umka21 [38]3 years ago
4 0

Answer:

t = -5

Step-by-step explanation:

Distribute by multiplication -2(t + 2), obtaining

-2t - 4 + 5t = 6t + 11.

Combine the t terms; this yields -4 = 3t + 11.  Solving for 3t, we get

3t = -4 -11, or 3t = -15.  Thus t must be -5.

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What is the value of -2|6x -y| when x-3 and y =4<br>​
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So, we have been given the following

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The price of milk has increased in year from rs.28 per liter to rs.32 per liter . find the percentage increase in the price....
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Answer:

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Step-by-step explanation:

<em>here's</em><em> your</em><em> solution</em>

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<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>price</em><em> of</em><em> milk</em><em> </em><em>after</em><em> </em><em>increasing</em><em> </em><em>=</em><em> </em><em>₹</em><em>3</em><em>2</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>increased </em><em>in </em><em>price</em><em> </em><em>=</em><em> </em><em>₹</em><em>3</em><em>2</em><em> </em><em>-</em><em> </em><em>₹</em><em>2</em><em>8</em><em> </em><em>=</em><em> </em><em>₹</em><em>4</em>

<em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>now </em><em>,</em><em> </em><em>increased </em><em>percentage</em><em>=</em><em> </em><em>4</em><em>/</em><em>2</em><em>8</em><em>*</em><em>1</em><em>0</em><em>0</em>

<em> </em>

<em> </em><em>=</em><em>></em><em> </em><em>1</em><em>4</em><em>.</em><em>2</em><em>8</em><em>%</em>

4 0
3 years ago
A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probabili
vovangra [49]

Answer:

(a) The probability that a male is selected, then two females is 0.4352.

(b) The probability that a female is selected, then two males is 0.3348.

(c) The probability that two females are selected, then one male is 0.4352.

(d) The probability that three males are selected is 0.0717.

(e) The probability that three females are selected is 0.1583.

Step-by-step explanation:

We are given that a math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment.

(a) The probability that a male is selected, then two females is given by;

Number of ways of selecting a male from a total of 11 male = ^{11}C_1

Number of ways of selecting two female from a total of 14 female = ^{14}C_2

Total number of ways of selecting 3 students from a total of 25 = ^{25}C_3

So, the required probability =  \frac{^{11}C_1 \times ^{14}C_2}{^{25}C_3}

                                           =  \frac{\frac{11!}{1! \times 10!} \times \frac{14!}{2! \times 12!} }{\frac{25!}{3! \times 22!} }     {\because   ^{n}C_r = \frac{n!}{r! \times (n-r)!} }

                                           =  \frac{1001}{2300}  =  <u>0.4352</u>

(b) The probability that a female is selected, then two males is given by;

Number of ways of selecting a female from a total of 14 female = ^{14}C_1

Number of ways of selecting two males from a total of 11 male = ^{11}C_2

Total number of ways of selecting 3 students from a total of 25 = ^{25}C_3

So, the required probability =  \frac{^{14}C_1 \times ^{11}C_2}{^{25}C_3}

                                           =  \frac{\frac{14!}{1! \times 13!} \times \frac{11!}{2! \times 9!} }{\frac{25!}{3! \times 22!} }     {\because   ^{n}C_r = \frac{n!}{r! \times (n-r)!} }

                                           =  \frac{770}{2300}  =  <u>0.3348</u>

(c) The probability that two females is selected, then one male is given by;

Number of ways of selecting two females from a total of 14 female = ^{14}C_2

Number of ways of selecting one male from a total of 11 male = ^{11}C_1

Total number of ways of selecting 3 students from a total of 25 = ^{25}C_3

So, the required probability =  \frac{^{14}C_2 \times ^{11}C_1}{^{25}C_3}

                                           =  \frac{\frac{14!}{2! \times 12!} \times \frac{11!}{1! \times 10!} }{\frac{25!}{3! \times 22!} }     {\because   ^{n}C_r = \frac{n!}{r! \times (n-r)!} }

                                           =  \frac{1001}{2300}  =  <u>0.4352</u>

(d) The probability that three males are selected is given by;

Number of ways of selecting three males from a total of 11 male = ^{11}C_3

Total number of ways of selecting 3 students from a total of 25 = ^{25}C_3

So, the required probability =  \frac{^{11}C_3}{^{25}C_3}

                                           =  \frac{ \frac{11!}{3! \times 8!} }{\frac{25!}{3! \times 22!} }     {\because   ^{n}C_r = \frac{n!}{r! \times (n-r)!} }

                                           =  \frac{165}{2300}  =  <u>0.0717</u>

(e) The probability that three females are selected is given by;

Number of ways of selecting three females from a total of 14 female = ^{14}C_3

Total number of ways of selecting 3 students from a total of 25 = ^{25}C_3

So, the required probability =  \frac{^{14}C_3}{^{25}C_3}

                                           =  \frac{ \frac{14!}{3! \times 11!} }{\frac{25!}{3! \times 22!} }     {\because   ^{n}C_r = \frac{n!}{r! \times (n-r)!} }

                                           =  \frac{364}{2300}  =  <u>0.1583</u>

8 0
3 years ago
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