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Ugo [173]
3 years ago
14

An urn contains six red balls numbered 1, 2, 3, 4, 5, 6, two white balls numbered 7, 8, and two black balls numbered 9, 10. A ba

ll is drawn from the urn. (Enter your probabilities as fractions.) (a) What is the probability that the ball is white
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0

Answer:

2/10 = 1/5

Step-by-step explanation:

To figure out the probability of something, we can take

(number of outcomes of that something) / (number of total outcomes)

Here, we are trying to find the probability that the ball is white. The number of outcomes that are possible with the ball being white is 2, as there are two white balls and you can only pick one. You can pick either of the two white balls, but there is no way to pick one of them two times, pick two of them at once, or pick any other ball and have it be white.

The number of total outcomes is 10. There are 10 balls, and you can only pick one ball at a time. There are only 10 options to choose from.

Therefore, we can plug our numbers into the formula above and get 2/10 = 1/5 as our probability

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Sholpan [36]
Let
x-------> the width of the rectangular area
y------> the length of the rectangular area

we know that
y=x+15------> equation 1
perimeter of a rectangle=2*[x+y]
2x+2y <= 150-------> equation 2

substitute 1 in 2
2x+2*[x+15] <=150--------> 2x+2x+30 <=150----> 4x <=150-30
4x <= 120---------> x <= 30
the width of the rectangular area is at most 30 ft
y=x+15
for x=30
y=30+15------> y=45
 the length of the rectangular area is at most 45 ft

see the attached figure
the solution is<span> the shaded area</span>

4 0
3 years ago
Given that x is an integer, what is the solution of <br>|x-1|<img src="https://tex.z-dn.net/?f=%20%5Cleqslant%201" id="TexFormul
Varvara68 [4.7K]

Answer:

see explanation

Step-by-step explanation:

Inequalities of the type | x | ≤ a always have solutions of the form

- a ≤ x ≤ a

Given

| x - 1 | ≤ 1 then

- 1 ≤ x - 1 ≤ 1 ( add 1 to each of the 3 intervals )

0 ≤ x ≤ 2

Since we require an integer solution then x = 0, 1, 2

5 0
3 years ago
HELPP ME PLSSSSS!!!!!
rewona [7]
Just do 5 1/5 divided by 1 2/5
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3 years ago
You buy 30 of your favorite songs from a Web site that charges ​$0.98 for each song. What is the cost of 30 ​songs? Use mental m
zubka84 [21]

If you are going to use mental math, round $0.98 up to $1.

Rounded, the cost of the 30 songs is $30.

However, since you rounded at the beginning, you need to subtract 2 cents for every song you purchased from the total of $30.

Multiply 30 by $0.02 to get $0.60. Subtract $0.60 from $30.

Your answer should be $29.40.

6 0
3 years ago
Read 2 more answers
2. Calculate an expression for dy/dx and d2y/dx2 in terms of t if the parametric pair is given as tan(x) = e^at and e^y = 1 + e^
Ber [7]

I assume a is a constant. If tan(x) = exp(at) (where exp(x) means eˣ), then differentiating both sides with respect to t gives

sec²(x) dx/dt = a exp(at)

Recall that

sec²(x) = 1 + tan²(x)

Then we have

(1 + tan²(x)) dx/dt = a exp(at)

(1 + exp(2at)) dx/dt = a exp(at)

dx/dt = a exp(at) / (1 + exp(2at))

If exp(y) = 1 + exp(2at), then differentiating with respect to t yields

exp(y) dy/dt = 2a exp(2at)

(1 + exp(2at)) dy/dt = 2a exp(2at)

dy/dt = 2a exp(2at) / (1 + exp(2at))

By the chain rule,

dy/dx = dy/dt • dt/dx = (dy/dt) / (dx/dt)

Then the first derivative is

dy/dx = (2a exp(2at) / (1 + exp(2at))) / (a exp(at) / (1 + exp(2at))

dy/dx = (2a exp(2at)) / (a exp(at))

dy/dx = 2 exp(at)

Since dy/dx is a function of t, if we differentiate dy/dx with respect to x, we have to use the chain rule again. Suppose we write

dy/dx = f(t)

By the chain rule, the derivative is

d²y/dx² = df/dx

d²y/dx² = df/dt • dt/dx

d²y/dx² = (df/dt) / (dx/dt)

d²y/dx² = 2a exp(at) / (a exp(at) / (1 + exp(2at)))

d²y/dx² = 2 (1 + exp(2at))

4 0
2 years ago
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