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zepelin [54]
3 years ago
10

Is anyone good with permutations? I can’t quite get the answer right for 4 b)

Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:  \bold{4b)\quad _{10}C_2=45\qquad\qquad 5b)\quad _4C_1\ \cdot\  _7C_3=140}

<u>Step-by-step explanation:</u>

4b) 2 members are pre-selected for the subcommittee, so there are 2 spots left and 10 people remaining to choose from.  _{10}C_2=\large\boxed{45}

5b) 1 of the guards is pre-selected for the team, so there is only 1 spot left and 4 people remaining to choose from. <em>There are still 3 spots for the forwards out of 7 people.</em>     _4C_1\ \cdot\  _7C_3=4\times 35=\large\boxed{140}

<em>Note: Your answers are correct for 4a and 5a</em>

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Number d I need help with
Natasha2012 [34]

Answer:

15 5/9 °C

Step-by-step explanation:

Put 60 where F is in the equation and do the arithmetic.

... C = (5/9)(60 -32) = (5/9)(28) = 140/9

... C = (135 +5)/9 = 15 5/9

8 0
3 years ago
A piggy bank contains only quarters and dimes. A representative sample has 6 quarters and 2 dimes. If there are 56 coins in the
nadezda [96]

Answer:

2

Step-by-step explanation:

Method- 56-25=31-25=6

I subtracted 25 until I cant no more so I only did it 2 times so 2 quarters are in the piggy bank.

Quarters-2

Then since the remainder was 6 that means there was only 1 penny and 1 nickel.

Pennies- 1

Nickels-1

8 0
3 years ago
In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 2.2 2.2​% with a standard deviation of 6.3 6.3​%.
Svet_ta [14]

Answer:

a) 0.625; b) 16.879; c) 8.442

Step-by-step explanation:

Since this is a normal distribution, we want the value of the mean, μ:  2.2; and the value of the standard deviation, σ:  6.3.

For the 40th percentile, we look in a z chart.  We want to find the value as close to 0.40 as we can get; this is 0.4013, and it corresponds to a z score of z = -0.25.

Our formula for a z score is z=\frac{X-\mu}{\sigma}.  Using our values, we have

-0.25 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.25) = X-2.2

-1.575 = X-2.2

Add 2.2 to each side:

-1.575+2.2 = X-2.2+2.2

0.625 = X

For the 99th percentile, the value in the z chart closest to 0.99 is 0.9901, which corresponds to a z score of z = 2.33:

2.33 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(2.33) = X-2.2

14.679 = X-2.2

Add 2.2 to each side:

14.679+2.2 = X-2.2+2.2

16.879 = X

For the IQR, we find the values for the 75th percentile (Q3) and the 25th percentile (Q1).  The value in a z chart closest to 0.75 is 0.7486, which corresponds to a z score of z = 0.67:

0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(0.67) = X-2.2

4.221 = X-2.2

Add 2.2 to each side:

4.221+2.2 = X-2.2+2.2

6.421 = X

The value in a z chart closest to 0.25 is 0.2514, which corresponds to a z score of z = -0.67:

-0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.67) = X-2.2

-4.221 = X-2.2

Add 2.2 to each side:

-4.221+2.2 = X-2.2+2.2

-2.021 = X

This makes the interquartile range

6.421--2.021 = 8.442

8 0
3 years ago
Part of the cell theory states that the cell is the basic unit of all living things. Julio wanted to use an analogy to explain t
vekshin1
Answer: D
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vichka [17]
C: 16.00 because when I multipled it was 16
4 0
3 years ago
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