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3 years ago

Which expression represents the additive inverse of -20?

Mathematics

2 answers:

alexdok [17]3 years ago

6 0

Answer:

b. -1/20

Step-by-step explanation:

<33

bagirrra123 [75]3 years ago

5 0

Answer:

Step-by-step explanation:

-20 = -1/20

I HOPE YOU UNDERSTAND!!! ^u^

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The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the average annual consumption of

Karo-lina-s [1.5K]

Answer:

a) $P(\bar X$

b) $P(98$

c) $P(\bar X$

d) $P(93$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(99.9,30)$

Where $\mu=99.9$ and $\sigma=30$

We select a random sample of n=36. And from the central limit theorem we know that the distribution for the sample is given by:

$\bar X \sim N(\mu =99.9 , \frac{\sigma}{\sqrt{n}}= \frac{30}{\sqrt{38}}=4.87)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(\bar X$

$=P(Z$

Part b

For this case we want this probability:

$P(98$

$=P(\frac{98-99.9}{\frac{30}{\sqrt{38}}}$

And we can find this probability on this way:

$P(-0.39$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-0.39$

Part c

If we apply this formula to our probability we got this:

$P(\bar X$

Part d

For this case we want this probability:

$P(93$

$=P(\frac{93-99.9}{\frac{30}{\sqrt{38}}}$

And we can find this probability on this way:

$P(-1.42$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-1.42$

3 0

3 years ago

Which of the following expressions is 0.00012 written in scientific notation? A. 0.12 × 10^-3 B. 1.2 × 10^-4 C. 12 × 10^-5 D. 1.

In-s [12.5K]

Answer:

B. 1.2 x $10^{-4}$

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. Or, in this case it's the opposite since we have a negative number. Since it's a decimal it's multiplied by 10 still but the exponent is negative. All we need to do to find what the exponent would be in this case is to count the number of zeros before the "12." There are 4 zeros before the 12. So your exponent would be -4. Now all we need to do is write out "equation" per say.

1.2 x 10^-4

Hope this helps and have a nice day!

5 0

2 years ago

Read 2 more answers

Can some please help me with this math question.

Veseljchak [2.6K]

Answer:

C- Inverse

Step-by-step explanation:

Logarithmic example:

log₆ of 6, the answer is 1.

Exponential example:

$6^{1}$ = 6

These are inverses

hope this helps :)

6 0

3 years ago

Part A: Victor is studying for his Finais. He spends 1/3 of an hour studying for History, 2/3 an hour

Elan Coil [88]

Answer:

3 3/4

Step-by-step explanation: all that you have to do is add 1/3 +2/3+11/4 which gives you 3 3/4

4 0

2 years ago

Solve the inequality shown below. -2(q-22)+q+12>0

Andru [333]

−2(q−22)+q+12>0
Step 1: Simplify both sides of the inequality.
−q+56>0
Step 2: Subtract 56 from both sides.
−q+56−56>0−56
−q>−56
Step 3: Divide both sides by -1.
−q−1>−56−1
q<56
Answer: q<56

4 0

3 years ago