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3 years ago

If 37% of high school students said that the excercise regularly, find the

Mathematics

1 answer:

katrin [286]3 years ago

6 0

Answer: 0.6934%

Step-by-step explanation:

Probability is the branch of mathematics that is concerned with the numerical descriptions of how likely an event will occur or how likely a proposition is true

If 37% of high school students said that the exercise regularly, the

probability that 5 students who are randomly selected will say thay they exercise regularly will be:

= (37/100)^5=0.006934

= 0.6934%

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The car is moving with a speed v0 = 48 mi/hr up the 4-percent grade, and the driver applies the brakes at point A, causing all w

lutik1710 [3]

Answer:

s = 0.2203 miles

Step-by-step explanation:

Given:

- The initial speed vo = 48 mi/hr

- The mass of the car m

- The coefficient of kinetic friction uk = 0.61

- The slope of the road 4-percent grade

Find:

Determine the stopping distance sAB. Repeat your calculations for the case when the car is moving downhill from B to A.

Solution:

- Apply the energy principle with work done against friction:

K.E_1 + P.E_1 = Wf + P_E_2 + K.E_2

- The final velocity of car is zero, K.E_2 = 0

The initial potential energy is set as zero, P.E_1 = 0

K.E_1 = Wf + P_E_2

0.5*m*vo^2 = Ff*s + m*g*h

Where, Ff is the frictional force:

Ff = uk*N

Where, N is the normal contact force between car and road. By equilibrium equation we have:

m*g*cos(θ) - N = 0

N = m*g*cos(θ)

Hence,

Ff = uk*m*g*cos(θ)

- The vertical distance travelled h is:

h = s*sin(θ)

- The energy equation is:

0.5*m*vo^2 = uk*m*g*cos(θ)*s + m*g*s*sin(θ)

0.5*vo^2 = uk*g*cos(θ)*s + g*s*sin(θ)

s*(uk*g*cos(θ) + g*sin(θ) ) = 0.5*vo^2

s = [0.5*vo^2 / (uk*g*cos(θ) + g*sin(θ) ) ]

- The slope = 4 / 100,

s = [0.5*48^2 / (0.61*8052.97*cos(2.29) + 8052.97*sin(2.29) ) ]

s = 0.2203 miles

3 0

4 years ago

The following list shows the items and prices for a restaurant order. Calculate the total amount if there is an 8% tax and the c

Andreas93 [3]

Answer:

Option B

The total amount is $63.31 if there is an 8% tax and the customer leaves a 20% gratuity.

Step-by-step explanation:

Given:

List of items Prices

1 Appetizer $8.59

2 Entrees $15.99 each

1 dessert $4.69

2 drinks $2.10 each

Total amount for the food order came to, $\left ( 1\times \$ 8.59 \right +2\times \$15.99+1\times \$4.69+2\times\$2.10)$ $=\left (\$ 8.59 \right + \$31.98+ \$4.69+\$4.20)$ =$49.46