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2 years ago

The next number in the sequence 3, 7, 12, 18, 25, 33, 42

Mathematics

2 answers:

Romashka [77]2 years ago

5 0

The answer should be 52

Eddi Din [679]2 years ago

3 0

Answer:

You add 4 and add 5 and then add 6 you add 1 more extra every time!

Step-by-step explanation:

You might be interested in

P(red)=3/12

Kitty [74]

Answer:

E) 9/12

Step-by-step explanation:

well first you need to know the number of non-red objects. There are 12 total so 12-3=9 non-red objects

9 out of 12 are non-red which is the exact same as the number of chances you have. 9/12

6 0

3 years ago

Mark's ratio is 3 tablespoons sugar to 2 tablespoons milk. Sharri is using 4 tablespoons of sugar to 3 tablespoons of milk. Eve

mezya [45]

Let's calculate for the tablespoons of sugar to tablespoons of milk ratio for Mark, Sharri and Eve.

Mark: 3/2 = 1.5
Sharri: 4/3 = 1.3
Eve: 9/6 = 1.5

From the solution, Eve has an equivalent ratio to that of Mark's.

4 0

2 years ago

if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?

Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 9 rolls, hence $n = 9$ .

Of the six sides, 2 are 3 or 4, hence $p = \frac{2}{6} = 0.3333$

The desired probability is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

$P(X < 2) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026$

$P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117$

Then:

$P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857$

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0

2 years ago

Sin(x)= 4/5 dilated by 2

Damm [24]

It would remain the same (4/5). Sin of the angle is unchanged regardless of the size; it is a ratio related only to the angle, not the size of the triangles.

6 0

2 years ago

HELP I'M SOOOOOO ANGRYYYYY PLEASE HELPPPP determine the values of X for which g(x) is defined

tiny-mole [99]

Answer: Any real number x as long as $x \ne 0$ and $x \ne -\frac{2}{3}$

In other words, anything but 0 or -2/3 is valid.

========================================================

Explanation:

Set the denominator equal to zero and solve for x

2(3x^2 + 2x) = 0

3x^2 + 2x = 0

x(3x + 2) = 0

x = 0 or 3x+2 = 0 .... zero product property

x = 0 or 3x = -2

x = 0 or x = -2/3

If either x = 0 or x = -2/3, then the denominator 2(3x^2 + 2x) will be zero. But recall that we cannot have zero in the denominator. Dividing by zero is not allowed. The expression is undefined when we divide by zero.

Therefore, we must exclude x = 0 and x = -2/3 from the domain. Any other real number is valid as an x input.

7 0

3 years ago