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2 years ago

How would you graph the solution to -5w + 9 = 14 on a number line?

Mathematics

1 answer:

kirill [66]2 years ago

3 0

Answer:

Draw a point one unit to the left of zero.

Step-by-step explanation:

The equation of unknown w is given here and we have to solve it and then we have to check how to draw the point w on the number line.

Now, the equation is - 5w + 9 = 14

⇒ - 5w = 5

⇒ w = - 1

Now, we know that in a number line if we move right from zero then this is a positive direction and if we move left from zero then this direction is the negative direction.

Hence, to plot w = - 1, we must draw a point one unit to the left of zero. (Answer)

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A small theater had 8 rows of 23 chairs each. Workers just removed 6 of these chairs. How many chairs are left?

horsena [70]

Answer:

178 chairs

Step-by-step explanation:

(something) rows of (something) columns always means to multiply. So, let's multiply 8 x 23:

8 × 23 = 184

Now, since the workers removed 6 of the chairs, there are 6 less chairs in the theater. Let's subtract 6 from 184 to get our final answer:

184 - 6 = 178

Hope this was helpful! Let me know if you have any other questions abou this problem. :)

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2 years ago

While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between

aleksandr82 [10.1K]

Answer:

The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

Step-by-step explanation:

Let the random variable X denote the water depths.

As the variable water depths is continuous variable, the random variable X follows a continuous Uniform distribution with parameters a = 2.00 m and b = 7.00 m.

The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

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$P(2.25$

$=\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55$

Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

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Answer:

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