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babunello [35]
2 years ago
7

Out of 8 boys and 6 girls in a high school, a team of seven students is selected. What is the probability that three boys and fo

ur girls are selected? In your response, include an explanation and all of the calculations necessary to determine the probability.
Mathematics
1 answer:
maria [59]2 years ago
7 0
The probabitily is if they get selected  as a team of 7 aswell if they're playing a game of some sort.
 
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Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back
ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial  speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar =  10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 =  t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

3 0
3 years ago
In a batch of 890 calculators, 12 were found to be defective. What is the probability that a calculator chosen at random will be
jarptica [38.1K]
890 times 12 equals 10680
4 0
3 years ago
Someone please help me on this!
Alexxx [7]

Answer & Step-by-step explanation:

This can be proven with the SAS theorem (side-angle-side)

With a perpendicular bisector, the line it bisects is cut directly in half. This creates two equal sides:

GJ=IJ

and it creates two 90° angles:

∠GJH=∠IJH

And because of the reflexive property of congruence:

JH=JH

Side-Angle-Side.

:Done

6 0
3 years ago
Ill give you brainliest pleaseeeeeeee help me
ruslelena [56]
Line D and C because they are not parallel but distorted or unsymmetrical
4 0
3 years ago
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
kogti [31]

Answer: 1.6

Step-by-step explanation:

This data set is 0,1,2,2,3.  Thus, you can calculate the mean by doing (0+1+2+2+3)/5=1.6

Hope it helps <3

6 0
3 years ago
Read 2 more answers
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