All categories

3 years ago

In how many ways can you answer 15 true/false questions

Mathematics

1 answer:

Anna71 [15]3 years ago

4 0

Answer:

32768

Step-by-step explanation:

Each question has 2 options.

On a true/false test with one question, there are 2¹, or 2 possible answers

On a test with 2 questions, there are 2², or 4 possible answers.

On a test with 3 questions, there are 2³, or 8 possible answers.

So, 2¹⁵ = 32768 possible ways.

You might be interested in

PLZ help me ASAP its due in a couple of mins!!! :((((( which one is it??

vichka [17]

Answer:

hey bud its d

Step-by-step explanation:

3 0

2 years ago

Pls answer these questions

Mila [183]

Answer:

I believe the answers are

B) 1

D) $1,000

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A hot air balloon descends at a rate of 320 feet per minute for 3 minutes. Use integers to calculate and

Amanda [17]

Given:
descends at a rate of 320 feet per minute for 3 minutes.

320 feet per minute * 3 minutes = 960 feet

Total change in altitude is 960 feet. Since it is descending, I believe it would be a negative 960 feet.

6 0

3 years ago

Read 2 more answers

Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

Simple interest

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

Interest compounded annually

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

5 0

3 years ago

12. Write the first five terms of two different sequences that have 10 as the

kodGreya [7K]

Answer:

a) The arithmetic sequence with common difference 2 that has 8 as the first term.

b) The arithmetic sequence of common difference -5 and first term 15.

Step-by-step explanation:

Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:

8, and (8+2) = 10 Therefore the second term is 10.

Another arithmetic sequence of common difference -5 and first term 15. The firs two terms of this sequence are:

15, and (15 - 5) = 10. Therefore again a 10 as second term.

6 0

3 years ago