If AD is drawn what geometric construction is shown

The temperature is 8° Fahrenheit. If the weatherman predicts the

Zina [86]

Answer:

-4 degrees Farenheit

Step-by-step explanation:

8-12=-4

6 0

3 years ago

Read 2 more answers

Choose all the numbers that are common multiples of 3 and 12.

spayn [35]

<h3>Answers: 48 and 72</h3>

=========================================================

Explanation:

The number 12 is a multiple of 3 because 3*4 = 12.

So when looking for common multiples of 3 and 12, we simply need to look at multiples of 12.

The multiples of 12 are:

12, 24, 36, 48, 60, 72, 84, 96, 120, ...

We see that 48 and 72 are on the list. The values 21, 27, 63, 81 are not on the list, so cross them out.

Now we could keep that list of multiples going to see if 844 is on there or not. A better method is to divide 844 over 12. If we get a whole number, then it's a multiple of 12.

844/12 = 70.333 approximately.

This shows that 844 is <u>not</u> a multiple of 12. So we cross 844 from the list.

Only 48 and 72 are multiples of 12 (and also multiples of 3).

6 0

3 years ago

Which of these is a complex number? <br><br> A. <br><br> B. <br><br> C. <br><br> D.

Step2247 [10]

Answer:

option D

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$

Step-by-step explanation:

Given in the question are 4 number

5√1/3 - $\frac{9}{\sqrt{7} }$

2 - $\frac{1}{\sqrt{11} }$

9 + $3\sqrt{\frac{5}{2} }$

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$

A Complex Number is a combination of a Real Number and an Imaginary Number

<h3>Example </h3>

a + ib

where a is real number

b is imaginary number

i is 'lota' which is √-1

<h3>So according to the definition above </h3>

$\frac{8}{3} + \sqrt{\frac{-7}{3} }$ is complex number in which

$\frac{8}{3}$ is real part

$\sqrt{\frac{7}{3} } \sqrt{-1}$ = $\sqrt{\frac{7}{3} } i$ is the imaginary part

7 0

4 years ago

The cost of a babysitting on a cruise is 10 for the first hour, and 12 for each additional hour. If the total cost of baby Aaron

Sliva [168]

<u>Answer:</u>

5 hours was Aaron at the sitter

<u>Explanation: </u>

Cost of baby sitting for the first hour: 10

Cost of baby sitting for additional hour= 12

Total cost of babysitting= 58

Since the cost of first hour is 10

Hence the remaining cost after first hour

= 54-10

=48

Which means 1 hour is consumed in the first hour

Now to calculate the remaining hours for every additional hour

= $\frac{48}{12}$

=4 hours

Hence the total hour Aaron was with the sitter

= 1 hour + 4 hours

= 5 hours

4 0

4 years ago

A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict

dlinn [17]

Answer:

$P(x\geq 17)=0.00128$

Step-by-step explanation:

The probability that the man gets x out of 20 correct follows a Binomial distribution, so the probability is calculated as:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}$

Where n is the number of identical experiments and p is the probability of success. In this case n is 20.

Additionally, if he has no ESP the probability that he predict correctly is 0.5, because he is only guessing.

Then, the probability that he gets x out of 20 correct is equal to:

$P(x)=\frac{20!}{x!(20-x)!}*0.5^{x}*(1-0.5)^{20-x}$

Therefore the probability that he would have done at least 17 out of 20 well if he had no ESP is:

$P(x\geq 17)=P(17)+P(18)+P(19)+P(20)\\$

Where:

$P(17)=\frac{20!}{17!(20-17)!}*0.5^{17}*(1-0.5)^{20-17}=0.00108719\\P(18)=\frac{20!}{18!(20-18)!}*0.5^{18}*(1-0.5)^{20-18}=0.00018119\\P(19)=\frac{20!}{19!(20-19)!}*0.5^{19}*(1-0.5)^{20-19}=0.00001907\\P(20)=\frac{20!}{20!(20-20)!}*0.5^{20}*(1-0.5)^{20-20}=0.00000095$

So, $P(x\geq 17)$ is equal to:

$P(x\geq 17)=0.00108719+0.00018119+0.00001907+0.00000095\\P(x\geq 17)=0.00128$

8 0

3 years ago