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4 years ago

A number is chosen at random from the first 100 positive integers. Find the probability that the number is divisible by 5. 1/10

1 answer:

3 0

The number of multiples of 5 from 1 to 100 is:

1≤5n≤100

1/5≤n≤20, since n must be an integer

1≤n≤20

So the multiples of five number 20-1+1=20 elements, and the probability of choosing one of the multiples from the first 100 positive integers is:

P(5n)=20/100=1/5

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If a quadrilateral has sides that measure 4 in. and angles that all measure 90°, we can consider the quadrilateral to be a/an A.

geniusboy [140]

the answer is square.

quadrilateral is four sides so if all sides are 4 inches in length and at a 90 degree angle it makes it a square.

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3 years ago

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What’s the disturbutive property when solving -4(-1.5 - 9)

Bad White [126]

-4(-1.5 - 9)
-4 x -1.5 = 6
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Answer is -30

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3 years ago

If QRST is a rectangle with QT=50 and RS=4x+8, find x

Alenkinab [10]

<span>If QRST is a rectangle with QT = 50 and RS = 4x + 8, find x.
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QT = RS (opposite sides of a rectangle are equal)

50 = 4x + 8
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4 years ago

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In ΔTUV, the measure of ∠V=90°, the measure of ∠U=55°, and VT = 82 feet. Find the length of TU to the nearest tenth of a foot.

Degger [83]

<u>Given</u>:

Given that TUV is a right triangle with measure of ∠V=90°

The measure of ∠U = 55°, and the length of VT is 82 feet.

We need to determine the length of TU.

<u>Length of TU:</u>

The length of TU can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=\frac{opp}{hyp}$

where $\theta=55^{\circ}$ , opp = VT and hyp = TU

Thus, we have;

$sin \ 55^{\circ}=\frac{VT}{TU}$

Substituting the values, we have;

$sin \ 55^{\circ}=\frac{82}{TU}$

Simplifying, we have;

$TU=\frac{82}{sin \ 55^{\circ}}$

$TU=\frac{82}{0.819}$

$TU=100.1$

Thus, the length of TU is 100.1 feet.

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3 years ago

Provide an example of a trig function that includes multiple transformations. Describe how it is different from the standard tri

klio [65]

An example of a trig function that includes multiple transformations and how it is different from the standard trig function is; As detailed below

<h3>How to interpret trigonometric functions in transformations?</h3>

An example of a trigonometric function that includes multiple transformations is; f(x) = 3tan(x - 4) + 3

This is different from the standard function, f(x) = tan x because it has a vertical stretch of 3 units and a horizontal translation to the right by 4 units, and a vertical translation upwards by 3.

Another way to look at it is by;

Let us use the function f(x) = sin x.

Thus, the new function would be written as;

g(x) = sin (x - π/2), and this gives us;

g(x) = sin x cos π/2 - (cos x sin π/2) = -cos x

This will make a graph by shifting the graph of sin x π/2 units to the right side.

Now, shifting the graph of sin xπ/2 units to the left gives;

h(x) = sin (x + π/2/2)

Read more about Trigonometric Functions at; brainly.com/question/4437914

#SPJ1

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2 years ago