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3 years ago

Convert 0.0000001 to a power of 10. 107 10−7 106 10−6

2 answers:

4 0

Since you have to move the decimal point the the right by 7 places to get the decimal point after the one. You must multiply by 1/10 seven times, which is the same as:

10^-7

defon3 years ago

4 0

10^-7 = 0.0000001

when the number is a decimal the power is a negative number

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Clayton left a 15% tip for the waitress. If the amount of the tip was $3.30, how much was the bill before the tip?

mamaluj [8]

The amount is $22.00

4 0

3 years ago

Read 2 more answers

As reported in Trends in Television, the proportion of US households who have at least one VCR is 0.535. If 14 households are se

motikmotik

Using the binomial distribution, it is found that there is a 0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.

For each household, there are only two possible outcomes. Either it has at least one VCR, or it does not. The probability of a household having at least one VCR is independent of any other household, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

14 households, hence $n = 14$ .
0.535 probability of having at least one VCR, hence $p = 0.535$ .

The probability of <u>at least 6 and no more than 8</u> is:

$P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{14,6}.(0.535)^{6}.(0.465)^{8} = 0.1539$

$P(X = 7) = C_{14,7}.(0.535)^{7}.(0.465)^{7} = 0.2024$

$P(X = 8) = C_{14,8}.(0.535)^{8}.(0.465)^{6} = 0.2038$

Then:

$P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8) = 0.1539 + 0.2024 + 0.2038 = 0.5601$

0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.

A similar problem is given at brainly.com/question/24863377

8 0

2 years ago

Shaun and Trudy are selling raffle tickets. So far, Shaun has sold x tickets. Trudy has sold 3 more tickets than half the number

Kipish [7]

S=x
T=1/2x+3
Total= 1 1/2x + 3

5 0

3 years ago

You have 16 different cuts of flowers and plan to use seven of them how many different selections of the seven flowers are possi

alisha [4.7K]

We can have 11440 different selections.

<u>SOLUTION: </u>

Given, you have 16 different cuts of flowers

And you have planned to use seven out of them.

We have to find how many different selections of the seven flowers are possible. Now, we have to select 7 items out of 16 available items. So we have to use combinations.

Then, 7 out of 16 combination $\rightarrow^{16} \mathrm{c}_{7} \rightarrow \frac{16 !}{(16-7) ! 7 !}$

$\bold{\text{ Since } ^nC_r=\frac{n !}{(r !(n-r) !)}}$

$\begin{array}{l}{\rightarrow \frac{16 !}{9 ! \times 7 !}} \\\\ {\rightarrow \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 !}{9 ! \times 7 !}} \\\\ {\rightarrow \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11 \times 10}{7 \times 6 \times 13 \times 12 \times 11 \times 10}} \\\\ {\rightarrow \frac{57657600}{5040}} \\\\ {\rightarrow 11440}\end{array}$

Hence, we can have 11440 different selections.

6 0

3 years ago

A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long,

irina [24]

Using the Pythagorean theorem 4 would be the height and 8 would be the hypotenuse, you need to find the base

4^2 + X^2 = 8^2

16 x x^2 = 64

x^2 = 64-16
x^2 = 48

x = sqrt(48) = 6.92 feet ( round answer as needed )

6 0

3 years ago