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3 years ago

Which equation represents the graph of y= cosx reflected across the x-axis then shifted vertically down by 2 units?

Mathematics

1 answer:

Phoenix [80]3 years ago

6 0

Answer:

y = -cos(x) -2

Step-by-step explanation:

Multiplying the function value by -1 reflects it across the x-axis. Adding -2 to the function value shifts it down by two units.

reflected: y = -cos(x)

then shifted: y = -cos(x) -2

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Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The

maksim [4K]

Answer:

Option C.

Step-by-step explanation:

Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.

Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.

Using triangle proportionality theorem we get

$\dfrac{SA}{SB}=\dfrac{CT}{BT}$

$\dfrac{SA}{10}=\dfrac{2.7}{9}$

On cross multiplication we get

$9\times SA=2.7\times 10$

$9SA=27$

Divide both sides by 9.

$SA=3$

The length of SA is 3ft.

Therefore, the correct option is C.

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3 years ago

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Plzz help meeee plzzzz help

ruslelena [56]

Answer: A. 20%

Step-by-step explanation:

First, to find the total number of teachers, we can add 25+32+18+5+20=100

Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:

20 ÷ 100 = 0.2

Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20

Therefore, the correct answer is A.

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2 years ago

How would u write 5 as a Roman numeral

Tamiku [17]

Answer:

Step-by-step explanation:

Five (5) in roman numerals would be V

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2 years ago

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The length of the human pregnancy is not fixed. It is known that it varies according to a distribution which is roughly normal,

fgiga [73]

Answer:

a) Figure attached

b) $P(234$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(234$

And we can find this probability with this difference:

$P(-2$

An we know using the graph in part a that this area correspond to 0.95 or 95%

c) $P(250$

And we can find this probability with this difference:

$P(-1$

An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%

d) $P(X$

And using the z score we got:

$P(X$

And that correspond to approximately 0.15%

Step-by-step explanation:

Part a

For this case we can see the figure attached.

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part b

Let X the random variable that represent the length of human pregnancy of a population, and for this case we know that:

Where $\mu=266$ and $\sigma=16$

We are interested on this probability

$P(234$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(234$

And we can find this probability with this difference:

$P(-2$

An we know using the graph in part a that this area correspond to 0.95 or 95%

Part c

$P(250$

And we can find this probability with this difference:

$P(-1$

An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%

Part d

We want this probability:

$P(X$

And using the z score we got:

$P(X$

And that correspond to approximately 0.15%

5 0

3 years ago

A local food truck specializes in gourmet grilled cheese sandwiches. Each month, the owners of the truck have a constant total o

Serggg [28]

Answer:

A. (9 - 2.25)s ≥ 5,400

B. They will have to sell more than 800 sandwiches per month. I first started by solving the parentheses which is 6.75. Then I divided 5,400 by 6.75 to get 800.

C. It will now end up looking like this: (8 - 2.25)s ≥ 5,400. Then it will be 5.75. Then divide 5,400 by 5.75. Then you end up with 939.13. You have to round up when you are talking about inequalities with money so it will be 940. So they will have to sell 140 more sandwiches during that month.

Step-by-step explanation:

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3 years ago