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Andreas93 [3]
2 years ago
7

A class consists of 99 women and 64 men. If a student is randomly selected, what is the probability that the student is a woman

Mathematics
1 answer:
lukranit [14]2 years ago
8 0

Answer:

\frac{99}{163}

Step-by-step explanation:

probability (P) is calculated as

P = (outcome desired ) ÷ ( total number of outcomes

total outcomes = 99 + 64 = 163

desired outcome = 99

P( a woman ) = \frac{99}{163}

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Two people independently each pick a number from 1 to 10. what is the probability that the two of them pick the same number?
Marysya12 [62]
1 in 10 is the probability of two people picking the same number.
7 0
3 years ago
Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)
Artemon [7]

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

6 0
3 years ago
What is ____ divided 12 = 3? What is the answer to the blank?
Ksivusya [100]
x:12=3\to x=3\times12=36\\\\Answer:\\36:12=3
5 0
3 years ago
Read 2 more answers
Please help, I will give brainliest UwU<br><br>And thx
aliya0001 [1]

Step-by-step explanation:

1.

a) yes

b) no

c) yes

d) no (not completely sure on this one)

2. same; vary; variability; answers; predictions

4 0
3 years ago
Read 2 more answers
The area of the square, the
const2013 [10]

Answer:

B.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

As given in the question, we know that:

The ratio of the area of the circle to the area  of the square is π/4

  • The formula to find the volume of the cone is:

V = 1/3*the height*the base area

<=> V1 = 1/3*h*πr^{2}

  • The formula to find the volume of the pyramid is:

V2 = 1/3*the height*the base area

<=> V =  1/3*h*4r^{2}

=> the ratio of volume of the cone to the pyramid is:

= \frac{V1}{V2}

= (1/3*h*πr^{2} ) / ( 1/3*h*4r^{2} )

= π/4

S we can conclude that the volume of the cone equals π/4  the volume of the  pyramid

Hope it will find you well.

7 0
3 years ago
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