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djverab [1.8K]
3 years ago
9

PLEASE SOLVE THE QUESTION BELOW

Mathematics
1 answer:
valkas [14]3 years ago
6 0

Answer:

There are 4 chairs in one row.

Step-by-step explanation:

Let $ x $ be the number of chairs in one row.

That is the length of one row.

Now, from the given data, three rows of length 3x can be formed with one chair left.

Or, if 15 extra chairs given, we can form 7 rows of the same length.

This means that there are $ 3x + 1 $ chairs in the first case. And since with 15 extra chairs we can form 7 rows, the equation would be

$ (3x + 1) + 15 = 7x $

Solving this for '$ x $', we get:

$ 3x + 16 = 7x $

$ \implies 4x = 16 $

$ \implies x = 4 $

Therefore, the length of each row is four.

That is, there are four chairs in one row.

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156÷34 partial quotients
AveGali [126]

The answer is 4. 156/34 = 4

6 0
3 years ago
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t
NeX [460]

Answer:

0.09

Step-by-step explanation:

Given that 50% of this population prefers the color green.

Let p the probability that one person selected from the population prefer the green color of the car. So,

p=0.05

There is only two chance, any person either prefer the green color or not, assuming this holds true for every person, so the mentioned population can be assumed as Bernoulli's population.

By using Bernoulli's theorem, the probability of exactly r success of n randomly selected from the Bernoulli's population is

P(r)=\binom{n}{r}p^{r}{(1-p)}^{n-r}\cdots(i)

Here, 15 buyers are randomly selected, so, n= 15 and

r= \frac1 3 \times 15=5

So, by using equation (i), the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is

P(r=5)=\binom{15}{5}(0.5)^{5}{(1-0.5)}^{15-5}

=\binom{15}{5}(0.5)^{5}{0.5}^{10}

=\binom{15}{5}(0.5)^{15}

=0.0916

Hence, the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is 0.09.

3 0
3 years ago
What is the discriminant of the polynomial below 4x^2+4x+1
Svetlanka [38]

Answer:

discriminant is b²-4*a*c

16-4*4*1 =0

this signifies that there is one rational double root

Step-by-step explanation:

sorry if its wrong

3 0
3 years ago
Need help on this please I would really appreciate it :)
sdas [7]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
What are the odds of picking 26 consecutive bingo balls out of a bag and not drawing any Bs, each letter of bingo has 15 balls,
Bezzdna [24]

Answer:

0.00069104  approximately.

Step-by-step explanation:

You must first calculate the probability of not taking a ball with the letter B.

It would be the sum of the probabilities of taking I, N, G and O.

The probability of getting the letter I would be 15/75, that is 1/5. The same would be for the letter N, G and O. Since the 4 probabilities are equal.

Therefore it would remain (1/5) * 4 = 4/5.

Then the probability of not drawing a letter B would be 4/5.

However, in the case that it does not go out for 26 balls and that the ball that was taken out is not taken into account. It would be the multiplication of all events, that is:

(60/75) * (59/74) * (58/73) * (57/72) * ... * (35/50)

 The result would be 0.00069104  approximately.

8 0
4 years ago
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