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PtichkaEL [24]
3 years ago
12

A two-digit random number is chosen. What is the probability that the sum of its digits is 5?

Mathematics
2 answers:
MrMuchimi3 years ago
8 0
10≤n<100

So the number of two digit numbers is 99-10+1=90

The only combinations that sum to 5 are 14, 23, 32, 41, 50 so

P(sum=5)=5/90

P(sum=5)=1/18
Brrunno [24]3 years ago
6 0
There are 90 two digit numbers.
The numbers that have 5 as the sum of their digits are:
14,23,32,41,50
which are 5 numbers out of the possible 90

Therefore the probabilty is 5/90 or 1/18
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Sandy is working with a carpenter to frame a house. They are using 8 foot long boards but each board must be cut to be 7 feet, 1
quester [9]
The answer is 5/4 in

The initial length:
1 ft = 12 in
8 ft = 8 * 12 in
      = 96 in

The final length:
7 ft 10 3/4 in = 7 ft + 10 in + 3/4 in
                     = 7 * 12 in + 10 in + 3/4 in
                     = 84 in + 10 in + 3/4 in
                     = 94 in + 3/4 in

The cut if the initial length - final length:
96 in - 94 in - 3/4 in = 2 in - 3/4 in = 8/4 in - 3/4 in = 5/4 in
7 0
3 years ago
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
In-s [12.5K]

Answer:

The sequence diverges.

Step-by-step explanation:

A sequence a_{n} converges when \lim_{n \rightarrow \infty} a_{n} is a real number.

In this question, the sequence given is:

a_{n} = 4n\cos{(7n\pi)}

The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as: a_{n} = 4n. So

\lim_{n \rightarrow \infty} a_{n} = \lim_{n \rightarrow \infty} 4n = \infty

Since the limit is not a real number, the sequence diverges.

5 0
2 years ago
Please help me please
Basile [38]
Uh mhmm where is the choice?
3 0
2 years ago
Read 2 more answers
You planted 488 acres of corn last season. you sold all your corn: 8,120 bushels in August and 64,100 bushels in September. what
Paladinen [302]
The yield per acre will be given by:
[total amount of bushels sold]/[area of the field]
Total amount sold=64100+8120=72220
area=488 acres
thus
72220/488
=147.992~148 bushels per acre
8 0
3 years ago
Read 2 more answers
Find the area of the shaded region round to the nearest tenth
Alenkinab [10]

Answer: 818.4

Step-by-step explanation:

Using the area of a sector formula, we get the area of the entire sector is (\pi)(27.8^{2})\left(\frac{150}{360} \right).

Using the formula A=\frac{1}{2} ab \sin C, we get the area of the triangle is \frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}).

So, the area of the shaded sector is (\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}

6 0
2 years ago
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