Solve using the quadratic formula.

HELP IM BEING TIMED ON THIS MATH EQATION.

MAXImum [283]

Answer:

268mph

Step-by-step explanation:

hdjdjebshshdznsk

6 0

3 years ago

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An urn contains 17 white balls and 20 red balls. A sample of four balls is selected at random from the urn. What is the probabil

Minchanka [31]

The probability that the sample of four balls contains two white balls and two red balls is 0.39.

Let E be an event a sample of selecting four balls from an urn are two red balls and two white balls.

According to the given question.

Total number of marbles in an urn = 17 + 20 = 37

Total number of white marbles = 17

Total number of red marbles = 20

Now, the number of ways of selecting four marbles form an urn = $^{37} C_{4}$

And, number of ways of selecting 2 white and two red marbles = $^{17} C_{2} \times\ ^{20} C_{2}$

As, we know that probability of an event is calculated by taking the ratio of total number of favorable outcomes to the total number of outcomes.

Therefore, the probability that the sample of four balls contains two white balls and two red balls is given by

$P(E) = \frac{^{20}C_{2} \times ^{17}C_{2} }{^{37}C_{4} }$

$\implies P(E) = \frac{\frac{20!\times 17!}{2!18!(2!!15!)} }{\frac{37!}{4!33!} }$

$\implies P(E) = \frac{\frac{20(19)(17)(16)}{2(2)} }{\frac{37(36)(35)(34)}{(4)(3)(2)} }$

⇒ P(E) = 5(19)(17)(16)/(37(3)(35)(17))

⇒ P(E) = 19(16)/37(3)(7)

⇒ P(E) = 304/777

⇒ P(E) = 0.39

Hence, the probability that the sample of four balls contains two white balls and two red balls is 0.39.

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8 0

2 years ago

A car's velocity changes at a rate of 36 miles per hour in 0.5 hour.

kotegsom [21]

Answer:

72

Step-by-step explanation:

In order to find the acceleration we need first to defined it, so:

acceleration=((final velocity)-(initial velocity))/time interval

$a=(vf-vi)/dt$

But (vf-vi) actually represents the velocity change, so (vf-vi)/dt represents the velocity change rate. This means that in our case:

$a=(36miles/hour)/(0.5hours)$

$a=72miles/hour^2$

In conclusion the acceleration is $a=72miles/hour^2$ , without units just 72.

7 0

4 years ago

Quadrilateral CDEF is a rhombus. What is DCG?

svlad2 [7]

Answer:

62°

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other, and each bisects the angle at a vertex of the rhombus. So, ∠DCG is the complement of ∠CDG, which is congruent to ∠EDG. We believe the marking 28° is intended to apply to ∠EDG, which would mean that ...

m∠DCG = 90° - 28°

m∠DCG = 62°

6 0

3 years ago

Spaceship Earth, a spherical attraction at Walt Disney World’s Epcot Center, has a diameter of 50 meters. Find the surface area

Black_prince [1.1K]

The surface area of Spaceship Earth is: 7850 m^2

Step-by-step explanation:

Given

Diameter of spherical structure = d = 50 meters

As the attraction is in the form of a sphere, its radius will be used to find the surface area.

$Radius = r = \frac{d}{2} = \frac{50}{2} = 25\ m$

The formula for surface area of sphere is:

$SA = 4\pi r^2\\= 4 * 3.14 * (25)^2\\= 4*3.14*625\\=7850\ m^2$

The surface area of Spaceship Earth is: 7850 m^2

Keywords: surface area, sphere

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6 0

3 years ago