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Diano4ka-milaya [45]
3 years ago
6

Which expression represents the phrase below?

Mathematics
2 answers:
Masja [62]3 years ago
8 0
The answer is (15*12) -a
murzikaleks [220]3 years ago
8 0

Answer:

Answer C

Step-by-step explanation:

the product of 15 and the quantity 12 less than a number

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There are 10 balls in an urn, numbered from 1 to 10. If 5 balls are selected at random and their numbers are added, what is the
Kisachek [45]

Let B_i denote the value on the i-th drawn ball. We want to find the expectation of S=B_1+B_2+B_3+B_4+B_5, which by linearity of expectation is

E[S]=E\left[\displaystyle\sum_{i=1}^5B_i\right]=\sum_{i=1}^5E[B_i]

(which is true regardless of whether the X_i are independent!)

At any point, the value on any drawn ball is uniformly distributed between the integers from 1 to 10, so that each value has a 1/10 probability of getting drawn, i.e.

P(X_i=x)=\begin{cases}\frac1{10}&\text{for }x\in\{1,2,\ldots,10\}\\0&\text{otherwise}\end{cases}

and so

E[X_i]=\displaystyle\sum_{i=1}^{10}x\,P(X_i=x)=\frac1{10}\frac{10(10+1)}2=5.5

Then the expected value of the total is

E[S]=5(5.5)=\boxed{27.5}

8 0
2 years ago
Find the sum of the first 48 terms of the following series, to the nearest integer.
Usimov [2.4K]

Step-by-step explanation:

∑k=150(3k+2)

First find a1 and a50 :

a1=3(1)+2=5a20=3(50)+2=152

Then find the sum:

Sk=k(a1 + ak)2S50=50(5 + 152)2=3925

5 0
3 years ago
Read 2 more answers
If k is a constant, what is the value of k such that the polynomial k^2x^3 - 6kz+9 is
Tresset [83]

x-1 divides p(x)=k^2x^3-6kx+9 if the remainder is p(1)=0. (This is the remainder theorem)

Then we must have

p(1)=k^2-6k+9=(k-3)^2=0\implies\boxed{k=3}

3 0
3 years ago
If (a-bi)^2 = 13 - 12i, what is the product of a and b?
VARVARA [1.3K]

Answer:

\large \boxed{\sf \ \ \ a\cdot b= 6 \ \ \ }

Step-by-step explanation:

Hello,

(a-bi)^2 = 13 - 12i\\\\ a^2+(bi)^2-2abi = 13-12i\\\\a^2-b^2-2abi=13-12i

Imaginary term must be the same so

-2ab=-12

2ab = 12

ab = 12/2 = 6

So the product of a and b is 6

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
3 years ago
Solve each system by graphing
Ne4ueva [31]
2,-4 is you awnser. good day to you
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