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3 years ago

Th sum of three numbers is 64. The second number is 3 more than the first. The third number is

1 answer:

8 0

<span>Three numbers can be defined as x, y, and z.
x + y + z = 64
y = x+3
z = 2x - 11
.
substitute for y and z
x + (x+3) + (2x-11) = 64
4x -8 = 64
4x = 72

x = 18
.
y = x+3 = 21
z = 2x -11 = 2(18) -11 = 36-11 = 25
.
x + y + z = 18 + 21 + 25 = 64
Correct.
.
Answer: The three numbers are 18, 21, and 25.</span>

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A bag contains five white balls and four black balls. Your goal is to draw two black balls. You draw two balls at random. What i

NARA [144]

Answer:

0.1667 = 16.67% probability that they are both black.

Step-by-step explanation:

The balls are drawn without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

5 + 4 = 9 balls, which means that $N = 9$

4 are black, which means that $k = 4$

2 are chosen, which means that $n = 2$

What is the probability that they are both black?

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,9,2,4) = \frac{C_{4,2}*C_{5,0}}{C_{9,2}} = 0.1667$

0.1667 = 16.67% probability that they are both black.

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3 years ago

Geometry help please

ExtremeBDS [4]

It looks about 90 degrees

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4 years ago

In a company, 37% of the 1500 employees are females.

musickatia [10]

The answer fam is....in a company 37% of the 1500 employees are females. work out the number of males in the company

100-37 = 63

63% are male

63/100*1500 = 945 are male?

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4 years ago

A boy walks 58 feet up a ramp having a 22.5 degree inclination. how high is he standing from the ground?

yKpoI14uk [10]

Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

sin(22.5°) = x / 58

x = 58sin22.5 = 58(.38258) = 22.5 feet high.

Thus the Boy is 22.5 feet high from the ground.

Learn more about trigonometry here :

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2 years ago

30 POINTS!

Luba_88 [7]

Answer: 5.5 seconds

Since the penny is dropped and not thrown, the initial velocity is 0 and the initial height is given as 150m. Plugging these into the given equation result in $-4.9t^2+0t+150=-4.9t^2+150$ . To find how long it will take for the penny to hit the ground we set the equation equal to zero and solve for t. Since this doesn't factor, you'll need to use the quadratic formula:

$+/-\frac{\sqrt{0^2-4(-49)(150)}}{2(-49)} =+/-\frac{10\sqrt{15} }{7}=+/-5.533$ . Since time cannot be negative, the answer will be the positive 5.5 seconds.

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4 years ago