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34kurt
2 years ago
11

During a game, the pittsburgh steelers converted 6 of 10 fourths downs into first downs. With only minutes left in the game, it

is fourth down again and they must make a first down to continue their drive. What is the probability that they will make the first down?
Mathematics
1 answer:
Anit [1.1K]2 years ago
4 0

Answer:

\dfrac{3}{5}

Step-by-step explanation:

Given that:

Total Number of fourth downs = 10

Number of fourth downs converted to first downs = 6

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, Let E be the event of getting a fourth down converted to first down.

So, Number of favorable cases = 6

Total Number of cases = 10

Therefore, the required probability is:

P(E) = \dfrac{6}{10} = \dfrac{3}{5}

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The volume V of a cylinder is computed using the values 8.8m for the diameter and 5.8m for the height. Use the linear approximat
Delvig [45]

Answer:

The maximum error is approximately Ev=24%

Step-by-step explanation:

the volume of the cylinder V is

V= π/4*H*D²

where H= height and D= diameter

the variation of V will be

dV = (∂V/∂H)*dH + (∂V/∂D)*dD

dV = π/4*D²*dH  +π/2*H*D*dD

if we divide by the volume V

dV /V  = (π/4*D²*dH  +π/2*H*D*dD )/( π/4*H*D²) = dH/H + 2*dD/D

dV /V =  dH/H + 2*dD/D

then we can approximate

error in V= Ev= ΔV/V ≈ dV/V

error in H= Eh=ΔH/H ≈ dH/H

error in D= Ed=ΔD/D ≈ dD/D

thus

Ev= Eh + 2*Ed

since Ed=Eh=E=8%

Ev=  Eh + 2*Ed =3*E=3*8%=24%

Ev= 24%

therefore the maximum error is approximately Ev=24%

5 0
3 years ago
The population of a town was 7652 in 2016. The population grows at a rate of 1.6% annually.
Serggg [28]

Answer:

(A) The population's growth rate in equation form is y = (0.016t * 7652) + 7652

(B)  y = (0.016t * 7652) + 7652 =

y = (0.016(8) * 7652) + 7652 =

y = (0.128 * 7652) + 7652 =

y = 979.456 + 7652 =

y = 8631.456 (Or About) 8631

Step-by-step explanation:

(A) Y = the total population of the town. 0.016 is 1.6% just in its original form. T = the year in which were trying to find the town's total population. 7652 is the total population of the town in 2016. With this information, the equation reads, The total population of the town (Y) is equal to 16% (0.016) of the current year's population (T) added to 2016's population of 7652. (This last sentence can also be read what is 1.6% of the towns population in the year were trying to find. Because the population is always growing, 1.6% gets multiplied as to scale with the total population in year T)

(B) We just substitute (T) for 2024, or 8 years after 2016 (2024-2016) and simplify the equation we made.

7 0
3 years ago
10 POINTS 3(2x+5) Plz help asap
Mamont248 [21]

Answer:

6x + 15.

Step-by-step explanation:

3(3x + 5)

= 3 * 2x + 3*5

= 6x + 15.

8 0
3 years ago
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-11x (5lx + 12)<br> Simplify using the distributive property: show all 2 steps!!!
-Dominant- [34]

Answer:

Step-by-step explanation:

-11x (5lx + 12)=(-11x)(51x)+(-11x)(12)

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3 0
3 years ago
Please help me I need help
Olin [163]

Answer:

2 feet

Step-by-step explanation:

i hope this is correct :)

8 0
3 years ago
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