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kondaur [170]
3 years ago
11

Jacob randomly draws two cards from a standard deck of 52 cards. He does not replace the first card. What is the probability tha

t both cards are Kings?
Mathematics
1 answer:
jeka57 [31]3 years ago
3 0
The probability that both cards are kings is 4/52 times 3/51. This is 12/6256, or 1/221.
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Given the equation y=2x+4, what is the value of y when x=5? *
Law Incorporation [45]

Y=2(5)+ 4
Y= 10+4
Y = 14
6 0
2 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

y = -16x^2 + 177x + 98

It hits the ground when y = 0, so we have to find x for which y = 0, which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

y = -16x^2 + 177x + 98

-16x^2 + 177x + 98 = 0

So

a = -16, b = 177, c = 98

\bigtriangleup = 177^{2} - 4(-16)(98) = 37601

x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53

x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0
3 years ago
Can someone please help me?
Crazy boy [7]

Answer:

70°

Step-by-step explanation:

since two lengths are equal to 3.5 that’s means there’s are two equal angles (55° and 55°)

a triangle adds up to 180°

so to find x we set this up:

x +55 +55 = 180

x + 110 = 180

x = 70°

3 0
3 years ago
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It is <span>a </span>statistical graph<span> that represents the </span>frequency<span> of values of a quantity by </span>verticalrectangles<span> of </span>varying<span> heights and </span>widths<span>. The width of the rectangles is in </span>proportion<span> to the class </span>interval<span> under </span>consideration<span>, and their areas represent the relative frequency of the </span>phenomenon<span> in </span><span>question. And this is one of example of histogram:</span>

5 0
3 years ago
6) Determine the dimensions of a rectangle if:<br><br> A = x2 – 19x – 90
Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

Determine the dimensions of a rectangle if:

A = x2 – 19x – 90

4 0
2 years ago
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