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3 years ago

7

Show all possible arrangements of the letters in the word FRED using a tree diagram. If each of the letters is on a tile and dra

wn at random , what is the probability that you will draw the letters F-R-E-D in that order?

1 answer:

Tanzania [10]3 years ago

4 0

Answer:

24

Step-by-step explanation:

F R E D

F R D E

F E R D

F E D R

F D E R

F D R E

so for each letter u have 6 so 4 x 6=24

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In ΔRST, r = 5 cm, t = 6.8 cm and ∠T=23°. Find all possible values of ∠R, to the nearest 10th of a degree.

8090 [49]

Answer:

$\angle r=16.696$

Step-by-step explanation:

From the question we are told that:

Dimension

r = 5 cm

t = 6.8 cm

∠T=23°

Generally the equation of sine rule i is mathematically given by

$\frac{sin \angle r}{R} =\frac{sin \angle t}{T}$

$\frac{ \angle r}{1} =sin^-^1(\frac{sin \angle t*R}{T})$

$\frac{ \angle r}{1} =sin^-^1(\frac{sin23*5}{6.8})$

$\angle r=16.696$

3 0

3 years ago

What are two numbers that can be multiplied together to equal -30 but also the same two numbers add up to -5

Orlov [11]

I’d say -1 but you probably need a better answer so I’d say -2.5

7 0

3 years ago

Write the rule for the nth term of each sequence.

stira [4]

Rule for sequence a is: a_n = 10-3n

Rule for sequence b is: a_n = -19+8n

Step-by-step explanation:

a.)7, 4, 1, -2, ...

First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence

Here,

$a_1 = 7\\a_2 = 4\\a_3 = 1\\d = a_2 - a_1 = 4-7 = -3\\d = a_3 - a_2 = 1-4 = -3$

The explicit rule for an arithmetic sequence is:

$a_n = a_1 + (n-1)d$

Putting the value of a1 and d

$a_n = 7 + (n-1)(-3)\\a_n = 7 -3n+3\\a_n = 10-3n$

b.)-11, -3, 5, 13, ...

First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence

Here,

$a_1 = -11\\a_2 = -3\\a_3 = 5\\d = a_2 - a_1 = -3+11 = 8\\d = a_3 - a_2 = 5+3 = 8$

The explicit rule for an arithmetic sequence is:

$a_n = a_1 + (n-1)d$

Putting the value of a1 and d

$a_n =-11 + (n-1)(8)\\a_n = -11 +8n-8\\a_n = -19+8n$

Hence,

Rule for sequence a is: a_n = 10-3n

Rule for sequence b is: a_n = -19+8n

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

8 0

3 years ago

Ben spent 2/3 of his allowance on video games. What is the fraction of his allowance expressed as a decimal?

Andrei [34K]

The is 0.666666666666666666667 so i dont know which way you want to swing because if you round up it is 0.7 and 0.6 doesn't repeat infintely so your choice

6 0

3 years ago

Read 2 more answers

I need help question number 2

Lerok [7]

It will become "Add a number times 6 to 5."

6 0

4 years ago