Solve the equation. 16x − 7 = 644 − x

It is important to conduct multiple trials because _____.

Answer:

B. it makes your results more convincing

Step-by-step explanation:

A scientific experiment involves the replication and repetition of the experiment. Repetition or conducting the multiple trials of the experiment is very crucial for a scientific experiment.

The experiment is performed to understand and explain the natural phenomenon and the repetition of the experiment ensures that the results obtained from these trials are efficient either to support the hypothesis or to disprove the hypothesis.

Experimenting with multiple trials removes the chances of errors in the experiment, increases the efficiency and strengthens the results to prove or disprove the hypothesis. In other terms, it can be said that it makes the results more convincing.

Thus, Option-B is the correct answer.

7 0

3 years ago

If it is 2 o'clock and you take away 25 minutes, what time would it be?

mafiozo [28]

Answer:

1:35

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please help me with this problem. Tell me the steps to solving

Hatshy [7]

20/5=4
X^(4/3)= 21.54

6 0

3 years ago

The length of a rectangle is 2 units more than the width. The area of the rectangle is 63 units. What is the length, in units, o

Keith_Richards [23]

Answer:

Length = 9units

Width = 7units

Step-by-step explanation:

It is said that the length is 2units more than the width

Assume that the width is x, then the length will be 2 + x

ie

Width = x

Length = 2 + x

Area of the rectangle = 63units

Area of rectangle = l * b

l - length of the rectangle

b - width of the rectangle

A = l * b

63 = (2 + x) * x

63 = ( 2 + x) x

63 = 2x + x^2

Let's rearrange it

x^2 + 2x - 63 = 0

Let's find the factor of 63

A factor that can be multiplied to give -63 and that can be added to give +2

Let's use -7 and +9

x^2 - 7x + 9x - 63 = 0

Separate with brackets

( x^2 - 7x) + ( 9x - 63) = 0

x( x - 7) + 9(x - 7) = 0

( x + 9)(x - 7) = 0

( x + 9) = 0

( x - 7) = 0

x + 9 = 0

x = -9

x - 7 = 0

x = 7

Note: the length of a rectangle can not be negative

So therefore,

x = 7

Length = 2 + x

= 2 + 7

= 9units

Width = x

= 7units

7 0

3 years ago

Candy. Someone hands you a box of a dozen chocolate-covered candies, telling you that half are vanilla creams and the other half

BaLLatris [955]

Answer:

a) P=0.091

b) If there are half of each taste, picking 3 vainilla in a row has a rather improbable chance (9%), but it is still possible that there are 6 of each taste.

c) The probability of picking 4 vainilla in a row, if there are half of each taste, is P=0.030.

This is a very improbable case, so if this happens we would have reasons to think that there are more than half vainilla candies in the box.

Step-by-step explanation:

We can model this problem with the variable x: number of picked vainilla in a row, following a hypergeometric distribution:

$P(x=k)=\dfrac{\binom{K}{k}\cdot \binom{N-K}{n-k}}{\binom{N}{n}}$

being:

N is the population size (12 candies),

K is the number of success states in the population (6 vainilla candies),

n is the number of draws (3 in point a, 4 in point c),

k is the number of observed successes (3 in point a, 4 in point c),

a) We can calculate this as:

$P(x=3)=\dfrac{\binom{6}{3}\cdot \binom{12-6}{3-3}}{\binom{12}{3}}=\dfrac{\binom{6}{3}\cdot \binom{6}{0}}{\binom{12}{3}}=\dfrac{20\cdot 1}{220}=0.091$

b) If there are half of each taste, picking 3 vainilla in a row has a rather improbable chance (9%), but is possible.

c) In the case k=4, we have:

$P(x=3)=\dfrac{\binom{6}{4}\cdot \binom{6}{0}}{\binom{12}{4}}=\dfrac{15\cdot 1}{495}=0.030$

This is a very improbable case, so we would have reasons to think that there are more than half vainilla candies in the box.

4 0

4 years ago