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2 years ago

I need someone to show the work and explain how to do it. Thanks

Mathematics

1 answer:

lesantik [10]2 years ago

7 0

Answer:

Per tier is 3

Step-by-step explanation:

5-2x=-4x+9

Since each side is same

5=-2x+9

-2x+4=0

2x=4

x=2

And 5-4 is 1

1+1+1 is 3

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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

he diameter of an ice skating rink is 44 feet. In terms of π, what is the area of the rink to the nearest square yard? (9 ft2 =

crimeas [40]

Answer:

The area of the circular ring is 53.73 π sq. yards

Step-by-step explanation:

The diameter of the skating ring = 44 ft

Diameter = 2 x Radius

⇒Radius of the ring = 44 / 2 = 22 ft

Now, 1 ft = 0.333333 yards

⇒22 ft = 22 x 0.333333 yards = 7.3333 yards

Now, Area of the circular Ring = $\pi r^2\\$

or, $A = \pi (7.33)^2$

= 53.73 π sq. yards

or, the area of the circular ring is 53.73 π sq. yards

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2 years ago

Cut 9ft piece into 12inch & Every cut remove 1/8 inch

melamori03 [73]

So each foot is 12 inches so to remove 8 feet to get 12 in you need to remove 8 times 12 inches total or 96 in and each cut removes 1/8 in so times 96 by 8 and get 768 total cuts

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3 years ago

1/3t + 3/4 = 2/4 -t solve

olga55 [171]

Okay so I am going to summarize the work out process because its a lot to

Here we go

1/3 (t) + 3/4 - 2/4 - t = ?

1/2 (simplify )

(1/3 (T)+3/4 - 1/2 - (t) = ?

t (2) / 2

1 - 2(t) / 2 = ?

3/4 (simplify this )

1/3(t)+ 3/4 - [1 - 2(t) / 2 = ?

1/3 (this is re last one you have to simplify)

L (Denominator): 3

R (Denominator): 4

L: [L.C.M] : 4

R: [L.C.M] : 3

Basically , we just switched the dominators around

So, Therefore The of t is -3/16

T = -3/16

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2 years ago

Where is the genetic information found in eukaryotic cells?

Sergio [31]

Where is the genetic information found in eukaryotic cells?

NUCLEUS

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1 year ago

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