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Angelina_Jolie [31]
4 years ago
8

Evaluate 11 C4 and 1 P4

Mathematics
1 answer:
Svet_ta [14]4 years ago
7 0

Answer:

Step-by-step explanation:

11C4 = 11! / (7!*4!) = 11 * 10 * 9 * 8 * 7!/ 7! * 4!

11C4 = 11*10 * 9 * 8 / 24

11C4 = 11*10 * 3

11C4 = 330

========

You can't do the second one. Permutations and Combinations always give an answer greater than 1 and integers.

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According to the side splitting theorem, which of the following proportions is true
allochka39001 [22]

Answer: \frac{AC}{CE}=\frac{BD}{DE}


Step-by-step explanation:

1. According to this theorem, when a line is a parallel with one of the sides of the triangle and touch or intersect the other two sides of this triangle, then this two sides are divide proportionally by the line.

2. Keeping the information above on mind, you can see that the line CD is parallel to AB and intersect the sides AE And BE, therefore, you con conclude the following:

\frac{AC}{CE}=\frac{BD}{DE}

6 0
3 years ago
Ciara solved the exponential equation 3x+1 = 15 and her work is shown below. What is the first step she did incorrectly? (3 poin
gregori [183]
Log3=log 15 over x+1 I think
5 0
3 years ago
Anna’s bank gives her a loan with a stated interest rate of 10.22%. How much greater will Anna’s effective interest rate be if t
Mumz [18]

Answer:

d. 0.0463% points.

Step-by-step explanation:

We have been given that Anna's bank gives her a loan with a stated interest rate of 10.22%.

To find the how mush the interest rate is effective, while compounded daily than compounded monthly, we will find the difference between interest compounded daily from interest compounded monthly.

\text{The effectiveness of interest rate compounded daily}=(1+\frac{r}{365})^{365}-(1+\frac{r}{12})^{12}

Let us convert our given rate in decimal form.

10.22\%=\frac{10.22}{100}=0.1022

Upon substituting our given interest rate in above equation we will get,

\text{The effectiveness of interest rate compounded daily}=(1+\frac{0.1022}{365})^{365}-(1+\frac{0.1022}{12})^{12}

\text{The effectiveness of interest rate compounded daily}=(1+0.00028)^{365}-(1+0.008516666)^{12}

\text{The effectiveness of interest rate compounded daily}=(1.00028)^{365}-(1.008516666)^{12}

\text{The effectiveness of interest rate compounded daily}=1.1075891260304368-1.1071257622419648

\text{The effectiveness of interest rate compounded daily}=0.000463363788

Let us convert our rate in percentage by multiplying our answer by 100.

\text{The effectiveness of interest rate compounded daily}=0.000463363788*100

\text{The effectiveness of interest rate compounded daily}=0.0463363788\%

Therefore, the Anna's effective interest rate will be 0.04633% points and option d is the correct choice.

7 0
3 years ago
Read 2 more answers
An electrician charges $15 for a service call plus $25 per hour. The total bill for a recent job was $165.
Aleksandr-060686 [28]

Answer:

h = 6

Step-by-step explanation:

Equation:

15 + 25h = 165

Subtract 15 from both sides

25h = 150

Divide both sides by 25

h = 6

So 6 hours

Hope this helped :)

Please consider Brainliest :)

3 0
3 years ago
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3. Simplify 315-217+45 - 28 . (1 point)<br> 2/12<br> O 212<br> O 615-417<br> 6/10 -4114
Ivanshal [37]

The answer might be (45/29).

5 0
3 years ago
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