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3 years ago

If 4x-2y>3 and 2x-2y<18, which must be true?

1 answer:

5 0

Let's say 2y < 18 - 2x
so
4x - 2y > 3
4x - 18 - 2x > 3
2x > 21
2x/2 > 21/2
x > 10.5

2y < 18 - 2(10.5)
2y < 18 - 21
2y < -3
y < 1.5

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There are two boxes containing red and blue balls. For box A, there are 3red balls and 7blue balls. For box B, there are 6red ba

Brums [2.3K]

Answer:

0.3333 = 33.33% probability that this red ball is from box A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Red ball

Event B: From box A.

Probability of a red ball:

3/10 = 0.3 of 1/2 = 0.5(box A)

6/10 = 0.6 of 1/2 = 0.5(box B). So

$P(A) = 0.3*0.5 + 0.6*0.5 = 0.45$

Probability of a red ball from box A:

0.3 of 0.5, so:

$P(A \cap B) = 0.3*0.5 = 0.15$

What is the probability that this red ball is from box A?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.45} = 0.3333$

0.3333 = 33.33% probability that this red ball is from box A.

8 0

3 years ago

PLEASE HELP ASAP! I need the answer for this question anyone ?

Alexxandr [17]

Answer:

A: sqrt(11)

B: 4.2

C: sqrt(26)

Step-by-step explanation:

First, 4^2 = 16

That means that sqrt 11 is smaller than 4.2 (a value greater than 4). This is because sqrt16>sqrt11.

Sqrt(26) is greater than sqrt(25) = 5. That means that it's greater than 4.2.

Hence, the order given above.

6 0

3 years ago

Ricardo has 3 quarters, 1 done, 1 nickel, and 4 pennies. He gave 68 cents to his brother. How much money does Ricardo have left?

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The answer is 26 cents, Because to the process that is in the image.

6 0

3 years ago

Data were collected on random specimens of Yellowfin tuna from 1991 and 2010. For the sample of 231 specimens of Yellowfin tuna,

Molodets [167]

Answer:

95% confidence interval: (0.325 ,0.383)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 231

Sample mean = 0.354 ppm

Sample standard deviation = 0.231 ppm

95% confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 4 and}~\alpha_{0.01} = \pm 1.97$

$0.354 \pm 1.97(\dfrac{0.231}{\sqrt{231}} ) = 0.354 \pm 0.029 = (0.325 ,0.383)$

6 0

3 years ago

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Ainat [17]

Answer:

um the answer is D

Step-by-step explanation:

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3 years ago