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3 years ago

Please i need help over here

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

Answer:

5 / 12

11 / 36

Step-by-step explanation:

The sample space for 2 dice = 6² = 36

Number of outcomes where sum is less than 7 = 15

Probability = required outcome / Total possible outcomes

P(obtaining a sum less Than 7) = 15 / 36 = 5/12

Number of outcomes where Sum of individual outcome is less than 20 = 11

P(sum of individual outcome less than 20) = 11/ 36

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Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12

insens350 [35]

Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

$-16t^2+ 160t + 120=0$

Applying quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where, a=-16, b=160 and c=120

$x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}$

$x=\frac{-160\pm\sqrt{33280}}{-32}$

$x=\frac{-160\pm 182.42}{-32}$

$x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}$

$x=−0.70,10.70$

Reject the negative value.

Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.

4 0

3 years ago

If there are 26 states east of the Mississippi River and 24 states west of the Mississippi River, what is the probability that t

Aneli [31]

I’m not sure what ur asking

6 0

3 years ago

Please evaluate this

siniylev [52]

Answer:

$y = 2 \: and \: x = 2.5$

y=2x-3

2=2

$y = 2x - 3 \\ y = |2 \times 2.5| - 3 \\ y = 5 - 3 \\ y = 2 \\$

And

8 0

4 years ago

A motorboat averages 20 miles per hour (mph) in still water. It takes the boat the same amount of time to travel 3 miles with th

bearhunter [10]

Answer:

4 mph

Step-by-step explanation:

Let :

Boat speed = 20 mph

speed of current = x mph

Distance against current = 2 miles

Distance with current = 3 miles

speed against current will be ; 20 - x

speed with current will be ; 20 + x

Time =distance / speed against time against = time with current

Solving Mathematically ;

2/(20-x )=3/(20 +x)

2(20+x )= 3( 20-x )

40+2x = 60-3x

3x +2x=20

5x=20

x = 20 / 5

x = 4 mph

Speed of current = 4 mph

8 0

3 years ago

What is the value of x in this equation?<br> Х/2 - x = x/4 + 6

olga nikolaevna [1]

X=-8

Х/2 - x = x/4 + 6
1/2x - x = 1/4x + 6
-1/2x=1/4x+6
-2x=x+24
-2x-x=24
-3x=24
X=-8

5 0

3 years ago

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