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Evgesh-ka [11]
3 years ago
15

A particular library has 58 visitors. When the visitors were asked how many books they read that year, 20 said they read one boo

k, 22 said they read three, and 16 said they read five. Assuming the visitors are telling the truth, what is the empirical probability that a visitor read five books? Write your answer as an exact fraction which is reduced as much as possible
Mathematics
1 answer:
irina1246 [14]3 years ago
7 0

Answer:

16/58 = 8/29

Step-by-step explanation:

p = number of required outcome/number of total out come

p = 16/58 ie number of people that read five book divided by total number of people

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Suppose that there are two types of tickets to a show:Advance and same-day. Advance tickets cost $35 and same day tickets cost $
sdas [7]

Answer:    30 $15 tickets and 20 $35 tickets

Step-by-step explanation:

.X%2BY=50

2.15X%2B35Y=1150

From eq. 1,

15X%2B15Y=750

Subtract from eq. 2,

15X%2B35Y-15X-15Y=1150-750

20Y=400

Y=20

Then,

X%2B20=50

X=30

30 $15 tickets and 20 $35 ticket

Hope it helps

5 0
3 years ago
Use the ditributive property for -8 (x / 3)
ioda
Greetings!

"Use the distributive property for -8 (x / 3).<span>"

The distribute property is used to simplify an expression/equation. This is done by multiplying the contents of the parenthesis by the number outside of bracket.

</span>-8 (x / 3)
=(-8*x / -8*3)
<span>Simplify.
</span>=(-8x/-24)


Hope this helps.
-Benjamin



4 0
3 years ago
:))))))))))))))))))))))))))))ty
goldenfox [79]

Answer:

I/rt =P

Step-by-step explanation:

to get ride of the r and t u need to divide

divide by rt

which would =to I/rt=P

8 0
3 years ago
The measures of angles of a hexagon 4x,5x,6x,7x,8x,9x.calculate the size of the largest angle.
grandymaker [24]

Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

3 0
3 years ago
Suppose r⃗ (t)=cos(πt)i+sin(πt)j+5tkr→(t)=cos(πt)i+sin(πt)j+5tk represents the position of a particle on a helix, where zz is th
gtnhenbr [62]

Answer:

a) t = 4

b) v = pi j + 5 k

c) rt = 1i + (pi t) j + (20 +5t )k

Step-by-step explanation:

You have the following vector equation for the position of a particle:

r(t)=cos(\pi t)\hat{i}+sin(\pi t)\hat{j}+5t\hat{k}    (1)

(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.

For a height of 20 you have:

5t=20\\\\t=\frac{20}{5}=4

(b) The velocity of the particle is the derivative, in time, of the vector position:

v(t)=\frac{dr(t)}{dt}=-\pi sin(\pi t)\hat{i}+\pi cos(\pi t)\hat{j}+5\hat{k}    (2)

and for t=4 (height = 20):

v(t=4)=-\pi sin(\pi (4))\hat{i}+\pi cos(\pi (4))\hat{j}+5\hat{k}\\\\v(t=4)=-0\hat{i}+\pi\hat{j}+5\hat{k}

(c) The vector parametric equation of the tangent line is given by:

r_t(t)=r_o+vt      (3)

ro: position of the particle for t=4

r_o=cos(\pi (4))\hat{i}+sin(\pi (4))\hat{j}+20\hat{k}\\\\r_o=\hat{i}+0\hat{j}+20\hat{k}

Then you replace ro and v in the equation (3):

r_t=(1\hat{i}+20\hat{k})+(\pi \hat{j}+5\hat{k})t\\\\r_t=1\hat{i}+\pi t \hat{j}+(20+5t)\hat{k}

3 0
3 years ago
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