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Shtirlitz [24]
3 years ago
5

The science club has five female and five male students. The club will randomly select two people to compete in the upcoming sci

ence competition. What is the probability that both people chosen are females?
Mathematics
2 answers:
vovangra [49]3 years ago
7 0
To determine the probability that both people chosen are females, we will use the rule of multiplication. 
Let event A = the event that the first person chosen is female; and let B = the event that the second person is female. 
To start, it is given that there are 10 students, 5 of them are females.  Therefore, P(A) = 5/10
After the first selection, there are 9 students, 4 of them are females. Therefore, P(A|B) = 4/9
Based on the rule of multiplication:

P(A∩B) = P(A) * P(A|B)
P(A∩B) = (5/10) (4/9)
P(A∩B) = 20/90
P(A∩B) = 2/9

The probability that both people chosen are females is 2/9.
joja [24]3 years ago
5 0

Answer: 2/9

Step-by-step explanation:

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katovenus [111]

Answer:

F. $155

Step-by-step explanation:

For this problem we simply need to multiply the base hourly pay by the amount of hours worked to find the straight-time pay for each week.

$7.75 * 20 = $155

Thus, your weekly pay will be $155.

Cheers.

4 0
3 years ago
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jek_recluse [69]
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Solving for this gets you $1320.30.


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3 years ago
A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modele
aev [14]

THIS IS THE COMPLETE QUESTION

basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?

Yes, exactly 0.6 seconds after the shot is launched.

Yes, between 0.64 seconds and 0.65 seconds after the shot is launched

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

No, the shot is not blocked.

Answer:

Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.

Given that the

equation for shot block height h = 9 + 25t – 16t2.

equation for ball height h = 6 + 30t – 16t2.

From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds

CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION

5 0
3 years ago
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kaheart [24]

Hello from MrBillDoesMath!

Answer:   b = 4, h = 13

Discussion:

For a triangle with base b" and height "h, the area formula is

A=  (1/2)bh.

In our case A = 26, h = 5b-7, so

26 = (1/2) b (5b-7).  Multiply both sides by 2:

26*2 = b(5b-7) =>

52 = b(5b-7)  =>

52 = 5b^2 - 7b =>           (subtract 52 from both sides)

5b^2 - 7b - 52 = 0.   This factors as follows:

(b - 4) (5 b + 13) = 0        (use quadratic formula to find this)

so b = 4 and h = 5b -7 = 5*4 - 7 = 13


Thank you,

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3 0
2 years ago
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3. One of the graphs represents
faltersainse [42]

Answer:

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Step-by-step explanation:

Subtract 3x from both sides of the equation

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Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and  b using the form y=mx+b

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The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: \frac{3}{2}

y-intercept: -3

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Graph the line using the slope and the y-intercept, or the points.

slope:\frac{3}{2}

y-intercept:-3

5 0
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