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3 years ago

14

Jon is decorating a banner for a parade.Jon uses a piece of red ribbon, wich is 3/4 yards long.Jon also needs blue ribbon that i

s 5 times as long as the red ribbon. How much blue ribbon does jon need

1 answer:

Natali5045456 [20]3 years ago

3 0

Answer:

3 3/4 yards

Step-by-step explanation:

To find the amount of blue ribbons, multiply 3/4 yards by 5 which is 15/4 or 3 3/4 yards of blue.

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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.

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3 years ago

A plane flies 1.4 hours at 150 mph on a bearing of 10. It then turns and flies hours at the same speed on a bearing of . How far

Gnesinka [82]

Answer:

The answer is "1035.76 miles"

Explanation:

The aircraft flies at 120 mph for 1.5 hours at a $10^{\circ}$ bearing, then flies at the very same speed at $100^{\circ}$ bearings for 8.5 hours.

However an angle of $100-10 = 90^{\circ}$ between displacements

First shifts $= 1.5 \times 120 = 180\ miles.$

Second shift $= 8.5\times 120 = 1020\ miles.$

These two shifts are at $90^{\circ}$ and therefore the final shift is:

$\to \sqrt{180^2+1020^2}=1035.76 \ miles$

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Answer:

#9 = 24

#19 = -33

Step-by-step explanation:

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