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11111nata11111 [884]
3 years ago
13

Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides

to line up male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups?
Mathematics
1 answer:
saul85 [17]3 years ago
4 0

Answer:  Team A will choose one of 36 possible lineups.

Step-by-step explanation:  Given that Team A and Team B are playing the game of tug-of-war.

Team A has 3 males and 3 females that decides to line up  male, female, male, female, male, female.

We are to find the number of possible lineups that Team A can make.

According to the given information,

number of options for the first position = 3,

number of options for the second position = 3,

number of options for the third position = 2,

number of options for the fourth position = 2,

number of options for the fifth position = 1

and

number of options for the sixth position = 1.

Therefore, the number of possible lineups by Team A is

n=3\times3\times2\times2\times1\times1=36.

Thus, Team A will choose one of 36 possible lineups.

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5 0
2 years ago
At the start of 2012, the US federal budget had a deficit of more than $1.5×1013. Convert this number to decimal form.
kotegsom [21]

Answer:

Just multiple it

Step-by-step explanation:

1.5 × 1013

1519.5 has your result

7 0
3 years ago
Suppose the time to complete a 200-meter backstroke swim for female competitive swimmers is normally distributed with a mean μ =
hammer [34]

Answer:

The swimmer must complete the 200-meter backstroke in no more than 130 seconds.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 141, \sigma = 7

Fastest 6%

At most in the 6th percentile, that is, at most a value of X when Z has a pvalue of 0.07. So we have to find X when Z = -1.555.

Z = \frac{X - \mu}{\sigma}

-1.555 = \frac{X - 141}{7}

X - 141 = -1.555*7

X = 130

The swimmer must complete the 200-meter backstroke in no more than 130 seconds.

3 0
3 years ago
Part F
mihalych1998 [28]

Answer:

The geometric mean of the measures of the line segments AD and DC is  60/13

Step-by-step explanation:

Geometric mean: BD² = AD×DC

BD = √(AD×DC)

hypotenuse/leg = leg/part

ΔADB: AC/12 = 12/AD

AC×AD = 12×12 = 144

AD = 144/AC

ΔBDC: AC/5 = 5/DC

AC×DC = 5×5 = 25

DC = 25/AC

BD = √[(144/AC)(25/AC)]

BD = (12×5)/AC

BD= 60/AC

Apply Pythagoras theorem in ΔABC

AC² = 12² + 5²

AC² = 144+ 25 = 169

AC = √169 = 13

BD = 60/13

The geometric mean of the measures of the line segments AD and DC is BD = 60/13

6 0
3 years ago
Solve pls brainliest
satela [25.4K]

Answer:

13 and 10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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