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3 years ago

How to write 0.12 repeating as a fractiom

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

Answer:

4/33

Step-by-step explanation:

do the normal steps to conversion

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Random samples of size 64 are taken from an infinite population whose mean and standard deviation are 24 and 6.4, respectively.

umka2103 [35]

Answer:

Mean 24, standard error 0.8

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation, also called standard error $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 24, \sigma = 6.4, n = 64$

What are the mean and the standard error of the sample mean?

By the Central Limit Theorem, mean 24 and standard error $s = \frac{6.4}{\sqrt{64}} = 0.8$

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=-12t%20%C2%B2%20%2B%2040t" id="TexFormula1" title="-12t ² + 40t" alt="-12t ² + 40t"

d1i1m1o1n [39]

Answer:

1.15

Step-by-step explanation:

tan θ=−4/7, and 270°<θ<360°

θ is in 4th quadrant

sec θ = 8.06 / 7 = 1.15

8 0

3 years ago

Chris is a college student who can work a maximum of 40 hours per week. He needs to make at least $900 in order to cover his exp

IgorC [24]

Equation 1: x + y = 40 ; therefore y = 40 - x
Equation 2: 25x + 15y = 900
Find x first:

25x + 15 (40 - x) = 900
25x + 600 - 15x = 900
10x = 900 - 600
x = 300÷10
x = 30 hours Chris needs to spend for tutoring job

y = 40 - 30
y = 10 hours Chris needs to spend for referencing job

7 0

3 years ago

Show that 2 - sqrt(2) is irrational

babunello [35]

Answer:

This proof can be done by contradiction.

Let us assume that 2 - √2 is rational number.

So, by the definition of rational number, we can write it as

$2 -\sqrt{2} = \dfrac{a}{b}$

where a & b are any integer.

⇒ $\sqrt{2} = 2 - \dfrac{a}{b}$

Since, a and b are integers $2 - \dfrac{a}{b}$ is also rational.

and therefore √2 is rational number.

This contradicts the fact that √2 is irrational number.

Hence our assumption that 2 - √2 is rational number is false.

Therefore, 2 - √2 is irrational number.

3 0

3 years ago

Randall, Kira and Sean have 100 baseball cards altogether. Randall has twice as many as Kira and 10 more than Sean. How many bas

TEA [102]

Kira has 22 cards, Randall has 44 cards, and Sean has 34 cards

<u>Solution:</u>

Given that, Randall, Kira and Sean have 100 baseball cards altogether.

Randall has twice as many as Kira and 10 more than Sean.

We have to find how many baseball cards does each person have?

Now, let the number of cards with Kira be "n", then number of cards with Randall will be "2n"

As Randall has "2n" cards, Sean will have 2n – 10

Now, total cards = 100

<em>Randall cards + Kira cards + Sean cards = 100 </em>

2n + n + 2n – 10 = 100

5n = 100 + 10

5n = 110

n = 22

So, kira has 22 cards, then, randall will have 2(22) = 44 cards and cards with sean = 44 – 10 = 34 cards.

Hence, kira has 22 cards, randall has 44 cards, and sean has 34 cards.

8 0

3 years ago