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Akimi4 [234]
3 years ago
7

You are taking a multiple-choice test that has six questions. Each of the questions has three answer choices, with one correct a

nswer per question. If you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the questions?
Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:

729 ways

Step-by-step explanation:

Given

Number of questions = 6

Choices = 3

Required

Number of ways of answering the questions

For each of the 6 questions;

There are 3 possible ways of selecting an answer;

The possible ways for the 6 questions is:

Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3

Possible\ Ways = 729

<em>Hence, there are 729 ways of answering the question</em>

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Finance. Suppose that $ 3 comma 400 is invested at 4.4 % annual interest​ rate, compounded monthly. How much money will be in th
Yuki888 [10]

Answer:

There would be $3,450.14 by the end of 4 months

There would be $4,623.78 by the end of 7 years.

Step-by-step explanation:

We are given the following in the question:

P = 3,400$

r = 4.4% = 0.044

Compounded monthly

Formula:

The compound interest is given by:

A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}

where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.

a) 4 months

A = 3400\bigg(1+\dfrac{0.044}{12}\bigg)^{4}\\\\A = \$3,450.14

There would be $3,450.14 by the end of 4 months.

b)  7 ​years

t = 7

A = 3400\bigg(1+\dfrac{0.044}{12}\bigg)^{84}\\\\A = \$4,623.78

There would be $4,623.78 by the end of 7 years.

3 0
3 years ago
HELP im behinds on math and need help with this
pav-90 [236]

Answer:

261.7 mm³

Step-by-step explanation:

the volume= ⅓×3.14×5²×10

= ⅓× 785

= 261.7 mm³

6 0
3 years ago
Are:
eimsori [14]

Step-by-step explanation:

a. The mean can be found using the AVERAGE() function.

x = 272.7

b. The standard deviation can be found with the STDEV() function.

s = 39.9

c. The t-score can be found with the T.INV.2T() function.  The confidence level is 0.04, and the degrees of freedom is 26.

t = 2.162

d. Find the lower and upper ends of the confidence interval.

Lower = 272.7 − 2.162 × 39.9 = 186.5

Upper = 272.7 + 2.162 × 39.9 = 358.9

4 0
3 years ago
The table show the relationship of how many pounds of cherries are needed to make a certain number of pies: pies 6 12 18 cherrie
Nataly_w [17]
M=dc/dp=4/6=4/6=2/3

c(p)=2p/3 +b  using (6,4)

4=2(6)/3+b

4=4+b, b=0 so

c(p)=2p/3  

(the number of cherries needed as a function of the number of pies)
3 0
3 years ago
What is the factored form of 2x^3+ 4x^2- x?
ryzh [129]

Answer:

x (2 x^2 + 4 x - 1)

Step-by-step explanation:

Factor the following:

2 x^3 + 4 x^2 - x

Factor x out of 2 x^3 + 4 x^2 - x:

Answer:  x (2 x^2 + 4 x - 1)

7 0
4 years ago
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