Renee is playing a game with marbles and a spinner. The spinner has four sections: orange, black, purple, and white. The marbles are kept in a bag and come in three colors: orange, black, and purple. Renee first spins the spinner and then picks a marble from the bag without looking. What is the probability that the color of the marble matches the color on which the spinner lands? brainly

Answers

Answer 1

Answer:

Answer:

$(1)/(16)$ Is the chance of the colours matching.

Step-by-step explanation:

The possibility of the spinner landing on an orange side is $(1)/(4)$

and the possibility of the marble being orange is $(1)/(4)$ in this case you have to remember, in the fraction, you have 4 possibilities and 1 desirable outcome, when you have two dependant possibilities you have to multiply them:

$(1)/(4) * (1)/(4)$

And the result of that multipliction is $(1)/(16)$ which is the probability of the marble and the spiner colours matching.

Answer 2

Answer:

Answer:

Step-by-step explanation:

1/4

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At the beginning of the year 2002, Sarah put $250 in a savings account. The bank agrees to pay Sarah 3% interest on her total savings at the end of each year including the interest added to the account. Assume the interest rates stay constant and Sarah does not deposit any more money into the bank. How much will she have in her savings, to the nearest cent, after 7 interest payments?

Answers

7×250=1750
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2000+60=2060$

If two angles are supplementary, they must __________.add up to
add up to
be adjacent
be congruent

Answers

supplementary angles add up to 180

If two angles are supplementary, their sum is 180º and they can be expressed as x and 180-x. If they are congruent ,then the two angles are equal:
x=180-x
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Inverse laplace of [(1/s^2)-(48/s^5)]

Answers

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I am not familiar with Laplace transforms, so my explanation probably won't help, but given that for two Laplace transform $F(s)$ and $G(s)$ , then $\mathcal{L}^(-1)\{aF(s)+bG(s)\} = a\mathcal{L}^(-1)\{F(s)\}+b\mathcal{L}^(-1)\{G(s)\}$

Given that $(1)/(s^2) = (1!)/(s^2)$ and $-(48)/(s^5) = -2\cdot(4!)/(s^5)$

So you have $\mathcal{L}^(-1)\left\{(1)/(s^2) - 2\cdot(4!)/(s^5)\right\} = \mathcal{L}^(-1)\left\{(1)/(s^2)\right\} - 2\mathcal{L}^(-1)\left\{(4!)/(s^5)\right\}$

From Table of Laplace Transform, you have $\mathcal{L}\{t^n\} = (n!)/(s^(n+1))$ and hence $\mathcal{L}^(-1)\left\{(n!)/(s^(n+1))\right\} = t^n$

So you have $\mathcal{L}^(-1)\left\{(1)/(s^2)\right\} - 2\mathcal{L}^(-1)\left\{(4!)/(s^5)\right\} = \boxed{t-2t^4}$ .

Hope this helps...

Final answer:

To find the inverse Laplace transform of the given expression, use partial fraction decomposition to simplify it into individual fractions and then find their inverse transforms.

Explanation:

To find the inverse Laplace transform of the given expression, we can use partial fraction decomposition. First, we factor the denominator: s2*(s3-48). The next step is to represent the expression as a sum of simpler fractions:

1/s2 - 48/s5 = A/s + B/s2 + C/(s - 2) + D/(s + 2) + E/(s + 4) + F/(s2 - 4)

Next, we solve for A, B, C, D, E, and F by performing algebraic manipulations and equating the corresponding coefficients. Finally, we can look up the inverse Laplace transform of each individual fraction term in tables or by using known formulas.

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Find the range of f(x) = 5 - |x - 4|.

Answers

Y is less than or equal to 5.

Final answer:

The range of the absolute value function f(x) = 5 - |x - 4| is (-∞ , 5] because the function will always be less than or equal to 5, but there's no lower limit as the function will decrease indefinitely as |x - 4| increases.

Explanation:

The function given is f(x) = 5 - |x - 4|, which represents an absolute value function. The range of a function refers to the possible values of f(x) or y in the function. In general, the absolute value function has a range of all non-negative numbers. However, because the function is subtracted from 5, the values of this particular function will decrease as x moves away from 4, in either direction.

Therefore, the maximum value of the function occurs when the absolute value equals to zero (i.e., x = 4), then f(x) = 5 - 0 = 5. As you move away from 4, the absolute value increases and thus subtracts more from 5, making f(x) smaller. So, f(x) will always be less than or equal to 5, but there is no lower limit, as the function will continue to decrease indefinitely as |x - 4| increases. Hence the range of the function f(x) = 5 - |x - 4| is (-∞ , 5].

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In how many ways can the letters of the word CHROMATIC be arrangeda. without any restrictions
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Answers

a. without any restrictions
since there 9 letters in the word CHROMATIC, then the number of ways it can be arrange is
P = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x1
P = 362880 ways can the word CHROMATIC be arranged with no restirction

B. if the position of the vowels can’t change
since there are 6 consonant letters in the word CHROMATIC, then the number of ways it can be arrange without changing the vowel is:
P = 6 x 5 x 4 x 3 x2 x 1
P = 720 ways

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Answers

Answer:

the answer is d

Step-by-step explanation:

i did whhat the other person said and got it right

Answer:

Step-by-step explanation:

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