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3 years ago

A chemical reaction took 7380 seconds. How many hours did the reaction

Mathematics

1 answer:

Svetlanka [38]3 years ago

6 0

Answer: 2.05 hours

Step-by-step explanation: There are 60 seconds in a minute, and 60 minutes in an hour. To find the seconds in an hour, multiply 60 by 60.

60 x 60 = 3600

There are 3600 seconds in an hour. Divide 7380 by 3600 to find the number of hours.

7380/3600 = 2.05

The reaction took 2.05 hours.

You might be interested in

Choose the system of equations that matches the following graph:

Vilka [71]

One of the lines passes through points (0, 6) and (-4, 3). Hence the equation is given by:

(y - 6)/(x - 0) = (3 - 6)/(-4 - 0)

(y - 6)/x = -3/-4 = 3/4

4(y - 6) = 3x

4y - 24 = 3x

3x - 4y = -24

The other line passes through points (0, -3) and (1, 0). Hence the equation is given by:

(y - (-3))/(x - 0) = (0 - (-3))/(1 - 0)

(y + 3)/x = (0 + 3)/1

y + 3 = 3x

3x - y = 3

Therefore, the system of equations representing the graph is:

3x - 4y = -24

3x - y = 3

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4 0

3 years ago

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

17 randomly selected pens

This means that $n = 17$

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is $P(X \leq 2)$ when $p = 0.1$ . So

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167$

$P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315$

$P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762$

0.762 = 76.2% probability that this shipment is accepted

8 0

4 years ago

Show the 64 can be written as either 26 or 43

xeze [42]

this question is meaningles

4 0

3 years ago

The coefficient of 8 • 2N is _____.

lesantik [10]

Answer:

16 is the coefficient of N.

Step-by-step explanation:

Coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables. The coefficients of an algebraic term can be positive or negative, and this multiplies the unknown term.

For example:

In 2a, 2 is the coefficient of a;

In x, 1 is the coefficient of x but it is not visible;

In 2/3p, 2/3 is the coefficient of p;

In -3f, -3 is the coefficient of f;

In 3 × 6t, 18 is the coefficient of t.

Variable is a symbol, commonly a single letter, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown. Making algebraic computations with variables as if they were explicit numbers allows one to solve a range of problems in a single computation. A typical example is the quadratic formula, which allows one to solve every quadratic equation by simply substituting the numeric values of the coefficients of the given equation for the variables that represent them.

So,

In 8 × 2N, 16 is the coefficient of N ( 8 × 2 = 16)

N is the variable.

7 0

3 years ago

Which is the reciprocal of -13/7

Nataly [62]

The reciprocal of -13/7 should be -7/13

6 0

3 years ago