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skad [1K]
3 years ago
5

ANSWER PLEASE..................

Mathematics
1 answer:
Lena [83]3 years ago
5 0
The answer is 74.32 y ok it welcome
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What is the coefficient of the third term in the binomial expansion of (a + b)6? 1 15 20 90
Sholpan [36]

Answer:  15

Step-by-step explanation:

(r+1)th term of (a+b)^n is given by:-

T_{r+1}=\ ^nC_r(a)^{n-r}b^r

For (a+b)^6 , n= 6

T_3=T_{2+1}=\ ^6C_2(a)^{6-2}(b)^2\\\\

=\ \dfrac{6!}{4!2!}a^4b^2\ \ \ [^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{6\times5\times4!}{4!\times2}a^4b^2\\\\=3\times5a^4b^2\\\\ =15a^4b^2

Hence, the coefficient of the third term in the binomial expansion of  (a+b)^6 is 15.

3 0
3 years ago
Read 2 more answers
Suppose that for a certain experiment p​(b​)equals=0.5 and p​(avertical line upper bb​)equals=0.2. find p​(aintersect∩b​).
raketka [301]
P(a | b) = p(a ∩ b)/p(b) . . . . . a definition worth remembering
0.2 = p(a ∩ b)/0.5 . . . . . . . . fill in the given values
0.2*0.5 = 0.1 = p(a ∩ b)

p(a ∩ b) = 0.1
5 0
3 years ago
The product of two consecutive odd integers is 72. Write a quadratic equation to find the integers,
zimovet [89]

<u>Answer:</u>

x^2 + x - 72 = 0

<u>Explanation:</u>

We are given product of two consecutive odd integers is equal to 72.

Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.  

Their product is equal to 72. So,

x * (x + 1) = 72

=> x^2 + x = 72

=>  x^2 + x - 72 = 0 is the required quadratic equation.

5 0
3 years ago
It cost Bo $9.75 to send 65 text messages. How many text messages did he send if he spent $6.60?
VashaNatasha [74]

If we use $6.60 then 44 massages will go to be sent.

<h3>What are the ratio and proportion?</h3>

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

For example 3/8 here 3 is the numerator and 8 is the denominator the value of the fraction will be less than 1 or greater than it depends upon the numerator and denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

$9.75 ⇔ 65 text massages

Divide by 9.75

$1 ⇔ 6.67 massages,

Multiply by 6.60

$6.60 ⇔ 44 text messages.

Hence "If we use $6.60 then 44 massages will go to be sent".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ1

5 0
2 years ago
An expression is shown: martha evaluates the expression using these steps: step 1: step 2: step 3:
earnstyle [38]

Answer:Answer: D Step 3 ; f²k³

Explanation:

(k⁻¹)⁻³ = k³

Step-by-step explanation:

8 0
3 years ago
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