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3 years ago

PLEASE HELP!!!

Mathematics

1 answer:

drek231 [11]3 years ago

7 0

Answer:

standard deviation=143.527

Step-by-step explanation:

75, 82, 100, 120, 140.

if we add 450

75, 82, 100, 120, 140,450

standard deviation=143.527

find the mean=sum /count=967/6=161.167

then find the √square difference between each sample and the mean, add up the differences²/6-1

find the square root of the differences=143.527

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A tailor used 6 2/3 yards of fabric to make hats. The amount of fabric needed to make each hat is 5/6 yard. How many complete ha

vfiekz [6]

Answer: The tailor made 8 complete hats

Step-by-step explanation:

Amount of fabrics available to make hat = 6 2/3 yards

1 hat requires = 5/6 yards

Number of hat to obtain from the available fabric = Amount of fabrics available to make hat / requirement of 1 hat

=(6 2/3) / (5/6)

(20/3) / (5/6)

20/3 x 6/5 = cancelling out, we are left with

4x2= 8 hats

(20/3) / (5/6)

6.6666 /0.83333

= 8.00002= 8 hats

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3 years ago

What’s the anwser quickly

Kay [80]

Answer:

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3 years ago

Write the first five terms of the recursively defined sequence. a1 = 6, ak 1 = 1 3 ak2

vova2212 [387]

The first five terms of the recursively defined sequence are 6, 12, 48, 768, 196608

For given question,

We have been given the recursive formula of a sequence.

$a_{k+1}=\frac{1}{3}{a_k}^2$

Also, the first term of the sequence is,

a1 = 6

Substitute k = 1 in given recursive formula.

⇒ $a_{1+1}=\frac{1}{3}{a_1}^2$

⇒ a2 = 1/3 (6)²

⇒ a2 = (1/3) × 36

⇒ a2 = 12

Substitute k = 2 in given recursive formula.

⇒ $a_{2+1}=\frac{1}{3}{a_2}^2$

⇒ a3 = (1/3) × (12)²

⇒ a3 = (1/3) × 144

⇒ a3 = 48

Substitute k = 3 in given recursive formula.

⇒ $a_{3+1}=\frac{1}{3}{a_3}^2$

⇒ a4 = (1/3) × (48)²

⇒ a4 = (1/3) × 2304

⇒ a4 = 768

Substitute k = 4 in given recursive formula.

⇒ $a_{4+1}=\frac{1}{3}{a_4}^2$

⇒ a5 = (1/3) × (768)²

⇒ a5 = (1/3) × 589824

⇒ a5 = 196608

Therefore, the first five terms of the recursively defined sequence are 6, 12, 48, 768, 196608

Learn more about the recursive formula of sequence here:

brainly.com/question/14457800

#SPJ4

7 0

1 year ago

I need help on this and D is y+4=2(x+1)

kodGreya [7K]

Answer:

A; y- 4 = -2(x + 1)

Step-by-step explanation:

Here, we want to find the equation of the given line

The general form

is ;

y = mx + c

c is the y-intercept which is 2

So we have

y = mx + 2

The x-intercept where y = 0 is 1

Thus;

0 = m(1) + 2

0 = m + 2

m = -2

So the equation of the line is

y = -2x + 2

We can rewrite this in the point-slope form as:

y - 4 = -2(x + 1)

8 0

3 years ago

In triangle ABC,D is a point on side AC such that BD=DC and angle BCD measures 70 degrees. What is the measure if of angle ADB?

mars1129 [50]

If BD=DC that means triangle CDB is isosceles triangle and the measure of angles ∡CDB and ∡BCD is the same
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The angles ∡ADB and ∡CDB are adjacent and suplementary angles

It means ∡ADB + ∡CDB = 180°
      ∡ADB = 180° - ∡CDB
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      <u>∡ADB = 110°</u>

5 0

3 years ago