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2 years ago

In a fruit basket, there are 9 bananas, 7 apples, and 3 plums.

Mathematics

1 answer:

vodomira [7]2 years ago

4 0

Answer:

so, if you want me to add all the fruits together... Its 19.

Step-by-step explanation:

9 plus 7 is 16. 16 plus 3 is 19 fruits.

Hope this helps! (mark the Brainliest)

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Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers

Alenkinab [10]

Given:

$\sigma_A=3$

$n_A=6$

$\sigma_B=5$

$n_B=4$

$\overline{x}_A=\overline{x}_B$

To find:

The variance. of combined set.

Solution:

Formula for variance is

$\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}$ ...(i)

Using (i), we get

$\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}$

$(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$54=\sum (x_i-\overline{x}_A)^2$

Similarly,

$\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}$

$(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$100=\sum (x_i-\overline{x}_B)^2$

Now, after combining both sets, we get

$\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}$

$\sigma^2=\dfrac{54+100}{6+4}$

$\sigma^2=\dfrac{154}{10}$

$\sigma^2=15.4$

Therefore, the variance of combined set is 15.4.

7 0

2 years ago

Following one side of a rural road, the house numbers increase by eighteen. The house number of the first house on the road is 8

ad-work [718]

Answer:

Recursive:

$a_n=a_{(n-1)}+18\\ \\ a_1=82$

Explicit:

$a_n=64+18n$

Explanation:

1. Sequence:

$a_1=82\\ \\ a_2=82+18=100\\ \\ a_3=100+18=118\\ \\ a_4=118+18=136\\ \\ ...$

2. Recursive formula

The recursive formula permits to calculate the value of the nth term in the sequence using the (n-1)th term in the sequence.

$a_n=a_{(n-1)}+18\\ \\ a_1=82$

3. Explicit formula

The explicit formula permits to calculate any value of a term in the sequence:

$a_n=a_1+(n-1)d\\ \\ a_n=82+(n-1)18\\ \\ a_n=82+18n-18\\ \\ a_n=64+18n$

7 0

2 years ago

What is the equation of a parabola that opens left with a vertex of (-1,1)

xeze [42]

I think it is not possible to find a certain equation from just a given points, it must have more given information because there is a lot of parabola pass throw (-1,1).

6 0

2 years ago

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fomenos

Answer:

multicultural

Step-by-step explanation:

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if you had to express a typical NBA player's salary with a single number (round to the nearest 100000) you would use

natta225 [31]

Answer:

wat

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