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3 years ago

How do u know that the decimal for 2/11 repeats without end

Mathematics

2 answers:

ASHA 777 [7]3 years ago

8 0

Answer:

If you keep adding a zero and keep getting the same number again and again. Than what you have is a repeating decimal.

IceJOKER [234]3 years ago

6 0

Answer:0.181818181818

Step-by-step explanation:

just like that

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What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?

Ainat [17]

Answer:

The average rate of change is -3.

Step-by-step explanation:

Given : Function $f(x)=-3x+79$ over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function $f(x)=-3x+79$ over [2,4]

The rate of change is the slope of the line,

So, $\text{Rate of change}=\frac{f(4)-f(2)}{4-2}$

$f(4)=-3(4)+79$

$f(4)=-12+79$

$f(4)=67$

$f(2)=-3(2)+79$

$f(2)=-6+79$

$f(2)=73$

Substitute,

$\text{Rate of change}=\frac{67-73}{4-2}$

$\text{Rate of change}=\frac{-6}{2}$

$\text{Rate of change}=-3$

Therefore, The average rate of change is -3.

8 0

3 years ago

Read 2 more answers

9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9

gladu [14]

Answer: a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

$x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)$

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

$\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976$

Hence, a) (176.76,172.24), b) 0.976.

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3 years ago

The point E(3,3) is rotated 90 degrees clockwise around the orgin. What are the coordinates of the resulting point E

givi [52]

The coordinates are 3,-3

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3 years ago

Can somone help me withhhhh thisssss pleaseee

Olenka [21]

It is A. 2^12.
The question asks for the value of 8 to the x-power. Divided by 2 to the y-power. the trick to solving this is to rewrite 8^x as 2^3x. so you will have 2^3x divided by 2^y. since the bases are now the same , you can subtract the exponents to get the result of 2^3x-y. since it is given the 3x-y is 12. your final answer is 2^12

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3 years ago

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How do i estimate quotients 933 divided by 3

Maurinko [17]

K, so
remember that $\frac{a+b+c}{d} = \frac{a}{d}+ \frac{b}{d}+ \frac{c}{d}$
so
$\frac{933}{3}=\frac{900+30+3}{3} = \frac{900}{3}+ \frac{30}{3}+ \frac{3}{3} = 300+10+1=311$

8 0

3 years ago