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3 years ago

9/8 × 2/3faction in simplest form

Mathematics

2 answers:

bogdanovich [222]3 years ago

6 0

Answer:

3/4

Step-by-step explanation:

9/8 * 2/3

Rewriting

9/3 * 2/8

Simplifying

3/1 * 1/4

3/4

Katen [24]3 years ago

5 0

So the right answer is 3/4.

Look at the attached picture

Hope it will help you..

Good luck on your assignment

~pragya

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Write an i explicit formula for an, the nth term of the sequence 200, 40, 8, ....

Ugo [173]

Answer:

$T_n = 200 * (\frac{1}{5})^{n-1$

Step-by-step explanation:

Given

$Sequence: 200,40,8$

Required

The nth term

The given sequence is a geometric sequence.

So, first we identify the first term

$a = 200$

Calculate common ration

$r = \frac{40}{200}$ or $r = \frac{8}{40}$

$r = \frac{1}{5}$

So, the nth term is:

$T_n = ar^{n-1$

$T_n = 200 * (\frac{1}{5})^{n-1$

5 0

3 years ago

The sum of theee consecutive numbers is 90. what is the smallest of the three numbers?

zlopas [31]

Note that consecutive numbers have a difference of 1 between them.

let n be the smallest integer then the three integers can be expressed as

n, n + 1 , n + 2

the sum is then

n + n + 1 + n + 2 = 90

3n + 3 = 90

subtract 3 from both sides of the equation

3n = 90 - 3 = 87

divide both sides by 3

n = $\frac{87}{3}$ = 29

the three integers are 29, 30, 31 → the smallest is 29

4 0

3 years ago

Which number has a 3 that is 1/10 the value of the 3 in 14.37 ?

Eduardwww [97]

Answer:

0.3

Step-by-step explanation:

7 0

3 years ago

Solve: -3(-2)^2-12(-2)+3 (show your work)

tamaranim1 [39]

PEMDAS

-3(-2)^2-12(-2)+3
-3(4)-12(-2)+3
-12-12(-2)+3
-12+24+3
12+3
=15

7 0

3 years ago

The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent

Leona [35]

Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. $n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation,

E = Margin of error .

z* = Critical value

2. $n=p(1-p)(\dfrac{z^*}{E})^2$ , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

$n=0.25(\dfrac{z^*}{E})^2$

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

$n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2$

$n=0.21(0.79)(65.3333)^2$

$n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709$ [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0

4 years ago

9/8 × 2/3faction in simplest form​

9/8 × 2/3faction in simplest form