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Lisa [10]
2 years ago
7

the sum of the ages of Petra and her mother is 45. her mothers is 6 years more than twice as old as Petra. how old are Petra and

her mother?
Mathematics
1 answer:
otez555 [7]2 years ago
4 0
Petra is 13 and her mother is 32. I used this equation:
p + 2p + 6 = 45
if you solve for p, you get 13. 13 times 2 plus 6 equals 32. So her mother is 32.
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3 years ago
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A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is
mars1129 [50]

Answer:

6.37%

Step-by-step explanation:

A deck of cards have 52 cards.  There are 4 suits of 13 card each, those suits are Hearts, Clubs, Diamond and Spades.

The probability that the first card is a heart is:

P(Hearts) = \frac{13}{52}

Now, the probabily that the second card is a diamond is:

P(Diamond | First card is Heart) = \frac{13}{51}

The Probability that the first card is a heart and the second one a diamond is given by:

P(Hearts)×P(Diamond | First card is Heart)

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3 years ago
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8 0
3 years ago
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Standard deviation of 23 bags

\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)

= 1 - P(z < 12.57)

Calculation the value from standard normal z table, we have,  

P(x < 5.95) = 1 - 1 = 0

c) P( fill volume of 23 bags is below 6 ounces)  = 0.001

P(x < 6)  = 0.001

P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})

Calculation the value from standard normal z table, we have,  

P( z \leq -3.09) = 0.001

\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

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3 years ago
Element X is a radioactive isotope such that every 28 years, its mass decreases by
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