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1 year ago

Wich time of line are shown in the figure

Mathematics

1 answer:

shtirl [24]1 year ago

5 0

Solution

Step 1

Two distinct lines intersecting each other at 90° or at right angles are perpendicular to each other.

Hence apply this to question 8 the type of lines shown in the figure is perpendicular lines. Option C

Step 2

To explain this as stated above line A and line B intersect each other at a right angle hence line A and B are perpendicular lines. The line segments are seen below.

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I arrive at a bus stop at a time that is normally distributed with mean 08:00 and SD 2 minutes. My bus arrives at the stop at an

Nimfa-mama [501]

Answer:

0.0485 = 4.85% probability that you miss the bus.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When two normal distributions are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We have to find the distribution for the difference in times between when you arrive and when the bus arrives.

You arrive at 8, so we consider the mean 0. The bus arrives at 8:05, 5 minutes later, so we consider mean 5. This means that the mean is:

$\mu = 0 - 5 = -5$

The standard deviation of your arrival time is of 2 minutes, while for the bus it is 3. So

$\sigma = \sqrt{2^2 + 3^2} = \sqrt{13}$

The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus?

You will miss the bus if the difference is larger than 1. So this probability is 1 subtracted by the pvalue of Z when X = 1.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1 - (-5)}{\sqrt{13}}$

$Z = \frac{6}{\sqrt{13}}$

$Z = 1.66$

$Z = 1.66$ has a pvalue of 0.9515

1 - 0.9515 = 0.0485

0.0485 = 4.85% probability that you miss the bus.

5 0

3 years ago

8. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You d

ira [324]

Step 1

Find the area of one equilateral triangle

Applying the law of sines

$Area=\frac{1}{2} *a*b*sin C$

in this problem

a=b=7 cm

C=60 degrees

$Area=\frac{1}{2} *7*7*sin 60$

$Area=\frac{1}{2} *49*\frac{\sqrt{3}}{2} \\ Area=49*\frac{\sqrt{3}}{4}$ cm²

Step 2

To calculate the area of the hexagon multiply the area of one equilateral triangle by $6$

$Area Hexagon=6*[49*\frac{\sqrt{3}}{4}] \\ Area Hexagon=73.5*\sqrt{3}$ cm²

therefore

the answer is the option

73.5 sqrt 3cm²

3 0

3 years ago

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Find f (0) and find x when f (x) =4

Anuta_ua [19.1K]

At x = 0, y-coordinate is at -4 so that means f(0) = -4

Now for f(x) = 4, we need to find any x-coordinates such that y-coordinates is 4.

There are two possible answer: x = -8 and x = 8

So x = -8, 8

Hope this helps.

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3 years ago

PLEASE HELP ME IM BEGGING YOU!!!<br> FIND THE VALUE OF X

Korvikt [17]

84 I'm sure it's that I did it before

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Which relationship describes angles 1 and 2?

pav-90 [236]

Angles 1 and 2 are supplementary angels because they form a line.
Angles 1 and 2 are adjacent angles because they share an interior ray and they have a common vertex.

7 0

3 years ago

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