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Setler [38]
3 years ago
6

A jar consists of blue, red and green marbles. The probability of each of them is 2/7 , 3/k and 5/2k. Find the value of k.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

Answer:

k = 77/10

Step-by-step explanation:

The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.

probability of blue marbles = 2/7

probability of red marbles = 3/k

probability of green marbles = 5/2k

The sum of the individual probability is equals to 1. Therefore,

2/7 + 3/k + 5/2k = 1

collect like terms

(6 + 5)/2k = 1 - 2/7

11/2k =(7 - 2) /7

11/2k = 5/7

cross multiply

10k = 77

divide both sides by 10

k = 77/10

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Y raise to power 1/2 =3​
marta [7]

Answer:

y = root 9

Step-by-step explanation:

1/2 is equivalent to the root of something.

The root of y equals 3.

Therefore, y would be equal to root 9, as root 9 is equivalent to 3.

Hope this helps :)

6 0
2 years ago
Read 2 more answers
Kind of stuck any tips would also help!!
AlexFokin [52]

Answer:

Step-by-step explanation:

You must place in the question sign box the value of x that is above the question sign box because you are trying to fill out the y row.

Example: y=-\frac{0}{3} +2= -0+2=2

7 0
3 years ago
Read 2 more answers
-5 2/7 divided by -2 1/7
sasho [114]
First convert to an improper fraction:
-5 2/7 = -37/7
-2 1/7 = -15/7
So now you have -37/7 / -15/7
When you divide with a fraction, you just flip the numerator and denominator of the divisor and multiply instead, so
-37/7 * -7/15 = 37/15 which would be in "improper" form.
To convert it to mixed number form it would be 2 7/15
8 0
4 years ago
What is the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81?
Marizza181 [45]

Answer: d. 1.3333

Step-by-step explanation:

We know that the standard error of a sampling distribution is given by :-

S.E.=\dfrac{\sigma}{\sqrt{n}}

, where \sigma = Population standard deviation.

n= Sample size.

AS per given , we have

\sigma =12

n=81

Then, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 will be :-

S.E.=\dfrac{12}{\sqrt{81}}

=\dfrac{12}{\sqrt{9^2}}=\dfrac{12}{9}\\\\=\dfrac{4}{3}\\\\\approx1.3333

Hence, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 is 1.3333.

Thus the correct answer is d. 1.3333 .

6 0
3 years ago
Use the definition f ′(x) = h0f(x + h) - f(x)h to find the derivative. f(x)=x+2
NNADVOKAT [17]

Answer:

f'(x) = 1

General Formulas and Concepts:

<u>Calculus</u>

  • Limit Properties: \lim_{n \to a} c = c
  • Definition of a Derivative: f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x + 2

<u>Step 2: Find derivative</u>

  1. Substitute:                         f'(x)= \lim_{h \to 0} \frac{((x + h) + 2)-(x+2)}{h}
  2. Distribute:                          f'(x)= \lim_{h \to 0} \frac{x + h + 2-x-2}{h}
  3. Combine like terms:         f'(x)= \lim_{h \to 0} \frac{h}{h}
  4. Divide:                               f'(x)= \lim_{h \to 0} 1
  5. Evaluate:                           f'(x)= 1
8 0
3 years ago
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