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2 years ago

Ten of 16 students in Nyack's class are girls. His teacher selected two

Mathematics

1 answer:

viktelen [127]2 years ago

7 0

I can't understand this after "happening is" but let's do it unaided.

The number of ways to draw a boy first is 6.

Given that, the number of ways to draw a girl next is 10.

That's out of a total of 16 x 15 length two permutations of 16 things

$p = \dfrac{6 \times 10}{16(15)} = 1/4$

Answer: 1/4

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The table shows a direct variation.

marin [14]

The answer would be 4

8 0

3 years ago

Aya = a1 + (n - 1)d

Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

Step-by-step explanation:

Given

a₁ = -33

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = -33 and d = 4 in the nth term of the sequence

$a_n=-33+\left(n-1\right)4$

$\:a_n=-33+4n-4$

$a_n=4n-37$

Thus, the nth term of the sequence is:

$a_n=4n-37$

now substituting n = 26 in the nth term to determine the 26th term of the sequence

$a_n=4n-37$

$a_{26}=4\left(26\right)-37$

$a_{26}=104-37$

$a_{26}=67$

Therefore, the 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

7 0

2 years ago

How to solve this problem??

slega [8]

$\frac{2}{3} = \frac{18}{x+5}
$
multiply each side by $x+5$
$\frac{2x+10}{3}=18$
multiply each side by 3

8 0

3 years ago

A certain statistic d hat is being used to estimate a population parameter D. The expected value of d hat is not equal to D. Wha

enot [183]

Answer:

the correct option is E. d is biased.

Step-by-step explanation:

As given,

The expected value of d hat is not equal to D.

We know that,

The unbiased-ness is the property that tells the expected value of d is equal to D

So, the correct option is E. d is biased.

5 0

3 years ago

For the function F defined by F(x) = x2 – 2x + 4, find F(b+3).

Ivanshal [37]

Answer:

$\displaystyle F(b + 3) = b^2 + 4b + 7$

Step-by-step explanation:

We are given the function:

$\displaystlye F(x) = x^2 - 2x + 4$

And we want to find F(<em>b</em> + 3).

We can substitute:

$\displaystyle F(b + 3) = (b + 3)^2 - 2(b+3) + 4$

Expand:

$\displaystyle = (b^2 + 6b + 9) + (-2b -6) + 4$

Rearrange:

$\displaystyle = (b^2) + (6b-2b) + (9 - 6 + 4)$

Combine like terms. Hence:

$\displaystyle = b^2 +4b + 7$

In conclusion:

$\displaystyle F(b + 3) = b^2 + 4b + 7$

6 0

2 years ago