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4 years ago

13

Mary can make a costume twice as fast as Sam can can. If they both work together, they can make it in 6 hours. How long will it

take Mary to make the costume if she works alone?

1 answer:

Julli [10]4 years ago

5 0

Answer:

2 hours

Step-by-step explanation:

Mary=x

Sam=2x

Mary+Sam=3x=6hours

x=2hours

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You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that t

icang [17]

Answer:

The probability that the first card is a Heart and the second card is a Spade is 0.064.

Step-by-step explanation:

A standard deck of 52 cards is shuffled and two cards are drawn without replacement.

The denominations of the cards are as follows:

Spades (S) = 13

Hearts (H) = 13

Diamonds (D) = 13

Clubs (C) = 13

Compute the probability of selecting a Heart first as follows:

$P(H)=\frac{13}{52}=0.25$

Compute the probability of selecting a Spade second as follows:

$P(S)=\frac{13}{51}=0.255$

Since the two cards are selected without replacement the second draw is independent of the other.

Then the probability that the first card is a Heart and the second card is a Spade is:

$P(1st\ H\cap 2nd\ S)=P(H)\times P(S)$

$=0.25\times 0.255\\=0.06375\\\approx 0.064$

Thus, the probability that the first card is a Heart and the second card is a Spade is 0.064.

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4 years ago

How to convert 264 yds/1 s to mi/day?

dusya [7]

Answer:

$12,960\ \frac{miles}{day}$

Step-by-step explanation:

we know that

$1\ mile=1,760\ yards$

To convert yards to miles multiply by 1/1,760

$1\ hour=3,600\ seconds$

$1\ day=24\ hours$

so

$(24)3,600=86,400$

$1\ day=86,400\ seconds$

To convert seconds to day multiply by 1/86,400

In this problem we have

$264\ \frac{yd}{sec} =264\ \frac{(1/1,760)}{(1/86,400)}=264\ (\frac{86,400}{1,760})=12,960\ \frac{miles}{day}$

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4 years ago

Wesley scored the following points in basketball games this season. 12,14,3,20,4,6,12,15,17,0 what is his range of scores?

Vladimir79 [104]

To find range, you must find the largest number in your data, and subtract it by the smallest number in your data.

In this case...
the Largest (20) - smallest (0) = Range

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3 years ago

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allsm [11]

4x-10 and 7x-8 are supplementary angles and thus add up to 180 degrees.

Thus, 11x - 18 = 180 degrees.

Combining like terms, 11x = 198, and x = 18.

The two supplementary angles are 4(18)-10 and 7(18)-8, or 62 and 118 degrees.

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3 years ago

What are the zeros of the function below?

hoa [83]

Answer:

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