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2 years ago

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.

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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 $y = 1$ .

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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:

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:

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*π $r^{2}$

The formula to find the volume of the pyramid is:

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

<=> V = 1/3*h*4 $r^{2}$

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

= $\frac{V1}{V2}$

= (1/3*h*π $r^{2}$ ) / ( 1/3*h*4 $r^{2}$ )

= 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.

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3 years ago