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maw [93]
4 years ago
11

-4/3,4/9,-4/27,4/81,-4/243... what is the common ratio! HELP ASAP

Mathematics
1 answer:
kaheart [24]4 years ago
3 0
Answer: The common ratio is -1/3

-----------------------------------------------------------

Work Shown:

Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.

r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4) 
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3

This means you multiply each term by -1/3 to get the next term

For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9

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The legs of an isosceles trapezoid have lengths of 48 - 7x and x + 8. What is the length of one of the legs?
sdas [7]

Answer:

13 units

Step-by-step explanation:

The legs of an isosceles trapezoid are congruent, then

x + 8 = 48 - 7x ( add 7x to both sides )

8x + 8 = 48 ( subtract 8 from both sides )

8x = 40 ( divide both sides by 8 )

x = 5

Then

leg = x + 8 = 5 + 8 = 13

4 0
3 years ago
in the life of a car engine, calculatedin miles, is normally distributed, with a mean of 17,000 miels and a standard deviation o
Alinara [238K]

Answer:

the guarantee period should be less than 136010 miles

Step-by-step explanation:

From the given information;

Let consider Y to be the life of a car engine

with a mean μ = 170000

and a standard deviation σ = 16500

The objective is to determine what should be the guarantee period T if the company wants less than 2% of the engines to fail.

i.e

P(Y < T ) < 0.02

For the variable of z ; we have:

z = \dfrac{x - \mu }{\sigma}

z = \dfrac{x - 170000 }{16500}

Now;

P(Y < T ) = P( Z < \dfrac{T- 170000}{16500})

P( Z < \dfrac{T- 170000}{16500})< 0.02

From Z table ;

At P(Z < -2.06) ≅ 0.0197  which is close to 0.02

\dfrac{T- 170000}{16500}

{T- 170000}

{T- 170000}< - 33990

{T}< - 33990+ 170000

{T}

Thus; the guarantee period should be less than 136010 miles

4 0
4 years ago
When you skip count by 8, you skip over the secret number.
marin [14]
Count 8 up until 100 and youll see it

7 0
4 years ago
An Isosceles triangle is shown below. What is the size of angle a°.
Sergeeva-Olga [200]

Step-by-step explanation:

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