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3 years ago

3+1/2=1 true or false

Mathematics

2 answers:

ASHA 777 [7]3 years ago

6 0

False, 3+1/2 is 3 1/2

denis-greek [22]3 years ago

3 0

I am pretty sure its false. I think this becuase 1/2 goes into 3, 6 times, not 1 time. Hope that helps

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Mr. Petersen counted the number of coins collected by the students in his coin club and prepared the following line plot.

zimovet [89]

Answer:21

Step-by-step explanation:

Add them all up

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3 years ago

What is the coefficient of x2y3 in the expansion of (2x + y)5?

Zigmanuir [339]

Option C:

The coefficient of $x^{2} y^{3}$ is 40.

Solution:

Given expression:

$(2 x+y)^{5}$

Using binomial theorem:

$(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}$

Here $a=2 x, b=y$

Substitute in the binomial formula, we get

$(2x+y)^5=\sum_{i=0}^{5}\left(\begin{array}{l}5 \\i\end{array}\right)(2 x)^{(5-i)} y^{i}$

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

$$=\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}+\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1}+\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}+\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}$

$$+\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}+\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}$

Let us solve the term one by one.

$$\frac{5 !}{0 !(5-0) !}(2 x)^{5} y^{0}=32 x^{5}$

$$\frac{5 !}{1 !(5-1) !}(2 x)^{4} y^{1} = 80 x^{4} y$

$$\frac{5 !}{2 !(5-2) !}(2 x)^{3} y^{2}= 80 x^{3} y^{2}$

$$\frac{5 !}{3 !(5-3) !}(2 x)^{2} y^{3}= 40 x^{2} y^{3}$

$$\frac{5 !}{4 !(5-4) !}(2 x)^{1} y^{4}= 10 x y^{4}$

$$\frac{5 !}{5 !(5-5) !}(2 x)^{0} y^{5}=y^{5}$

Substitute these into the above expansion.

$(2x+y)^5=32 x^{5}+80 x^{4} y+80 x^{3} y^{2}+40 x^{2} y^{3}+10 x y^{4}+y^{5}$

The coefficient of $x^{2} y^{3}$ is 40.

Option C is the correct answer.

5 0

3 years ago

If you were given the data set $s $10, $10, $12, $13, $15, which measure of central

Katarina [22]

Answer: Mode

<u>Step-by-step explanation:</u>

The given data set is: 10, 10, 12, 13, 15

Mean is the average - find the sum of the data set and divide by the number of terms in the set: $\dfrac{10+10+12+13+15}{5} =\dfrac{60}{5}=12$

Mean = 12

Median is the middle term (when the data set is ordered from least to greatest).

Median = 12

Mode is the term that appears the most.

Mode = 10

Since you want to show that the prices are low, you would choose the lowest value. 10 is lower than 12, so the Mode is lower than either the Mean or the Median.

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Answer:

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Step-by-step explanation:

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Jlenok [28]

Answer:

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Step-by-step explanation:

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180°-133°= 47°

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p= 90°- 47°= 43°

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3 years ago

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