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sashaice [31]
3 years ago
9

In a game you are required to pull a letter from a bag that contains one of each vowel in the alphabet (A, E, I, O, and U) and t

hen roll a standard die. What is the probability you will draw the letter E and roll an even number?
A) 0.007
B) 0.100
C) 0.125
D)0.200
Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

the answer is

Step-by-step explanation:

0.100

aliya0001 [1]3 years ago
3 0
You have two conditions, the letter you draw must be E and the number you roll must be even, and both of those conditions have to happen at the same time (aka they're dependent on each other). Because of that, you have to multiply the probability you'll get the first condition by the probability you get the second one.

You have 5 vowels, so the probability of drawing E, one of the vowels, is 1/5.

You have 6 numbers on your standard die. Three of the numbers, 2, 4, 6 are even. The probability of rolling an even number is 3/6 = 1/2.

Multiply these two probabilities together to get the probability of both of those happening at the same time:
(1/5)*(1/2) = 1/10 = 0.100
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BlackZzzverrR [31]

Answer:

50 = x · 3.75

Step-by-step explanation:

8 0
2 years ago
Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
RUDIKE [14]

Answer:

The vertex of this parabola, (-2, 3), can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

g(x) = a\, (x - h)^2 + k,

where a, h, and k are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at (h,\, k).

The vertex form can be expanded to obtain:

\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}.

Compare that expression with the given equation of this parabola. The constant term, the coefficient for x, and the coefficient for x^2 should all match accordingly. That is:

\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right..

The first equation implies that a is equal to 3. Hence, replace the "a\!" in the second equation with 3\! to eliminate \! a:

(-2\times 3)\, h = 12.

h = -2.

Similarly, replace the "a" and the "h" in the third equation with 3 and (-2), respectively:

3 \times (-2)^2 + k = 15.

k = 3.

Therefore, g(x) = 3\, x^2 + 12\, x + 15 would be equivalent to g(x) = 3\, (x - (-2))^2 + 3. The vertex of this parabola would thus be:

\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}.

8 0
3 years ago
Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. Her friend invested the s
Natali5045456 [20]

The right system of equations to describe the situation would be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of Imogene and her friend respectively at the end of t years.

Now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)

<span> </span>

5 0
3 years ago
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Yeah but what is the question?
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sasho [114]

Answer:

59.5

Step-by-step explanation:

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