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2 years ago

Which measurement is the best estimate for the capacity of a bottle of nail polish?

Mathematics

1 answer:

Law Incorporation [45]2 years ago

4 0

The best estimate for the capacity of a bottle of nail polish is A: 10 mL

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Tags are placed to the left leg and right leg of a bear in a forest. Let A1 be the event that the left leg tag is lost and the e

Komok [63]

Answer:

0.75 = 75% probability that exactly one tag is lost, given that at least one tag is lost

Step-by-step explanation:

Independent events:

If two events, A and B, are independent, then:

$P(A \cap B) = P(A)*P(B)$

Conditional probability:

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

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: At least one tag is lost

Event B: Exactly one tag is lost.

Each tag has a 40% = 0.4 probability of being lost.

Probability of at least one tag is lost:

Either no tags are lost, or at least one is. The sum of the probabilities of these events is 1. Then

$p + P(A) = 1$

p is the probability none are lost. Each one has a 60% = 0.6 probability of not being lost, and they are independent. So

p = 0.6*0.6 = 0.36

Then

$P(A) = 1 - p = 1 - 0.36 = 0.64$

Intersection:

The intersection between at least one lost(A) and exactly one lost(B) is exactly one lost.

Then

Probability at least one lost:

First lost(0.4 probability) and second not lost(0.6 probability)

First not lost(0.6 probability) and second lost(0.4 probability)

$P(A \cap B) = 0.4*0.6 + 0.6*0.4 = 0.48$

Find the probability that exactly one tag is lost, given that at least one tag is lost (write it up to second decimal place).

$P(B|A) = \frac{0.48}{0.64} = 0.75$

0.75 = 75% probability that exactly one tag is lost, given that at least one tag is lost

8 0

2 years ago

A student claims that the expression “9 times the sum of a number and 13” is translated to the algebraic expression 9n + 13. Is

Alex73 [517]

9*13+n
I think that is correct, try and split up the question.
9*
A sum of a number AND 13
So that means that 9 is multiplying by the SUM (adding) of 13 and a number (n)

8 0

2 years ago

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Which step shows the result of applying the subtraction property of equality? One-fourth (12 x + 8) + 4 = 3 Step Solution 1 3 x

luda_lava [24]

Answer:

Step-by-step explanation:

Given the equation 1/4 (12 x + 8) + 4 = 3, to fnd the result of the equation, the following steps must be followed.

Step 1: Expand the bracket at the left hand side of the equation using the distributive property.

1/4 (12 x + 8) + 4 = 3

$\frac{1}{4} (12x)+\frac{1}{4}(8) + 4 = 3\\ 3x+2+4 = 3\\3x+6=3$

Step 2: Subtract 6 from both sides of the equation

$3x+6-6 = 3-6\\3x =-3\\x = \frac{-3}{3}\\ x = -1$

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2 years ago

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A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each

mash [69]

Answer: No

Step-by-step explanation:

$12-$4.50= $7.50

$7.50*15= $112.50

The Total cost is $135 She will only be making $112.50 in profits.

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1 year ago

a product online for $299 and was charged an additional $10 for shipping and handling. The customer received a rebate of $99 and

sammy [17]

The customer payed $192.4 for the product.

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2 years ago

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