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3 years ago

Choose the equation below that represents the line passing through the point -3, -1 with a slope of four

Mathematics

1 answer:

Agata [3.3K]3 years ago

7 0

Y- y1 = m (x-x1)
y+1 = 4(x+3)
y+1=4x+12
y=4x+11

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The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes

mixer [17]

Answer:

0.02275

Step-by-step explanation:

We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.

We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.

$z=\frac{x-\mu}{\sigma}$

z = z-score,

x = Sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

$z=\frac{60-80}{10}$

$z=\frac{-20}{10}$

$z=-2$

Now, we will use normal distribution table to find area under z-score of $-2$ as:

$P(z< -2)$

$P(z< -2)=0.02275$

Therefore, the probability of completing the exam in one hour or less is 0.02275.

7 0

3 years ago

If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?

emmasim [6.3K]

Answer: $200\ cm^3$

Step-by-step explanation:

Given

The dimension of the rectangular prism is

$l=5\ cm\\w=10\ cm\\h=4\ cm$

The volume of the prism is given by $V=l\times w\times h$

$\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3$

Therefore, the volume of the prism is $200\ cm^3$ .

7 0

3 years ago

What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth.

navik [9.2K]

The length of the hypothenuse or the value of x is equal to 19.53

Data;

hypothenuse = x
adjacent = 11.2
opposite = 16

<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

$x^2 = y^2 + z^2\\$