MATHEMATICS HIGH SCHOOL

Within the metric system all units are based on the numbera. 1.
b. 100.
c. 10.
d. 1000.

Answers

Answer 1
Answer:

Answer:

The answer is the option C 10

Step-by-step explanation:

we know that

The metric system is a system of measuring based on the meter, kilogram and second (MKS). Is based on the powers of the number 10
Answer 2
Answer: Within the metric system all units are based on the number 10

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Simplify $(1-3i)(1-i)(1+i)(1+3i)$

Answers

(1-3i)(1-i)(1+i)(1+3i)=\n(1^2-(3i)^2)(1^2-i^2)=\n(1+9)(1+1)=\n10\cdot2=20

Answer:

\huge\boxed{(1-3i)(1-i)(1+i)(1+3i)=20}

Step-by-step explanation:

(1-3i)(1-i)(1+i)(1+3i)\n\n\text{use the commutative property}\n\n=(1-3i)(1+3i)(1-i)(1+i)\n\n\text{use the associative property}\n\n=\bigg[(1-3i)(1+3i)\bigg]\bigg[(1-i)(1+i)\bigg]\n\n\text{use}\ (a-b)(a+b)=a^2-b^2\n\n=\bigg[1^2-(3i)^2\bigg]\bigg[1^2-i^2\bigg]\n\n=\bigg(1-9i^2\bigg)\bigg(1-i^2\bigg)\n\n\text{use}\ i=√(-1)\to i^2=-1\n\n=\bigg(1-9(-1)\bigg)\bigg(1-(-1)\bigg)\n\n=\bigg(1+9\bigg)\bigg(1+1\bigg)\n\n=(10)(2)\n\n=20

The extended warranty on a mini-fridge costs $41.25. If the warranty is 12.5% of the normal price, what is the cost of the mini-fridge itself, to the nearest dollar? a. $225 b. $516 c. $330 d. $303

Answers

First 

41.25x12.5%=5.15625

5.15625 to the nearest $ is $516

the answer is B

I just took the test and the answer ain't B It's C.$330

Fourteen of the 100 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not​ defective?

Answers

What is the probability?

  • The probability is a measure of the likelihood of an event to occur.
  • P(A) is the probability of an event, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.
  • The probability that a randomly selected item is not defective is P(A) = n(A)/n(S).

We are given that a total of 100 digital video recorders​ (DVRs) out of these 14 are defective.

The probability of randomlyselect an item that is defective,

P(A) = n(A)/n(S)

P(A) = 14/100

P(A) = 7/50

The probability of randomlyselecting an item that is not defective,

P(A) = 1-(7/50)

P(A) = (50-7)/50

P(A) = 43/50

Hence, the probability of randomly selecting an item that is not​ defective is 43/50.

Learn more about probability at brainly.com/question/10720683

#SPJ2
P(non-defective) = 43/50
First, you subtract 14 from 100 to get the number of non-defective video recorders.
Then, you reduce the fraction of 86/100 to 43/50.

Raymond bought a used truck for $18,800. If the sales tax in his state is 7 percent, what was the final price for his car?

Answers

Answer:

$1316

Step-by-step explanation: You would multiply 18,800 by 0.07  and Your would get $1316

For the following data distribution, find the value that best defines the central tendency of the distribution and characterize the distribution.{23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38}

Answers

To characterize the distribution, the data have to be put into a frequency distribution graph.

After graphing the data, the distribution is a bit skewed to the right although it could be considered symmetrical.
Here are the values that define the central tendency:
mean = 22.79
median = 23
mode = 23

The three are almost equal. So, the distribution can be classified as symmetrical.

Answer:

Step-by-step explanation:

The given data set is:

23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38

firstly arrange the given data set in ascending order, we have

1, 7, 12, 14, 17, 18, 18, 23, 23, 23, 23, 24, 27, 28, 29, 32, 33, 38, 43

Now, Mode is the observation point which occurs frequently in the given data set, thus

Mode=23

Mean is given as:

Mean=(sum of observations)/(total no. of observations)

Mean=(433)/(19)=22.7

Mean≈23

Median of the given data set is the middle value of the given set, thus

Median=23

Hence, the value that would best describe the central tendency is 23. Since, the values to the left of 23 are more scattered than those to its right, the distribution exhibits negative.

the length of side AB is twice the length of side AC. Write an expression for the perimeter of the triangle

Answers

  • Answer:

P = 3AC + BC

  • Step-by-step explanation:

AB = 2AC

P = AB + AC + BC

replace AB

P = 2AC + AC + BC

P = 3AC + BC
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