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Aleks [24]
2 years ago
7

A rectangular field is enclosed by 360 feet of fencing. What is the length, in feet, of the field if it’s length is 6 feet more

than it’s width?
Mathematics
1 answer:
Orlov [11]2 years ago
7 0

Answer:

The Field's length is 93ft

Step-by-step explanation:

P=2L+2w

360=2(w+6)+2w

360=2w+12+2w

360=4w+12

348=4w

348/4=w

87=w

L=w+6

L=87+6

L=93

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Answer:0.5714\frac{1}{15}

Step-by-step explanation:

Given that Bill, George, and Ross, in order, roll a die.

The first one to roll an even number wins and the game is ended.

Since Bill starts the game he can win by throwing even number or lose by throwing odd number

P(win) = 0.5, otherwise, the die will go to George.  For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.

Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely

To get back the dice once he loses probability

= p both throws odd = 0.5(0.5) = 0.25

Thus Prob for Bill winning

= 0.5+0.25(0.5)^2+0.25(0.5)^3(0.25)+...

This is an infinite geometric series with I term 0.5 and common ratio 0.125<1

Sum = \frac{a}{1-r} =\frac{0.5}{1-0.125} =0.5714

4 0
1 year ago
B, C and D are points on a circle, centre O. AB and AD are tangents to the circle. Angle BCD=x Find an expression for the size o
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Answer:

where the point B lie ,first say point B where lie

3 0
2 years ago
40 POINTS!!!!! A submarine descends to 1/6 of its maximum depth. Then it descends another 2/3 of its maximum depth. If it is now
tia_tia [17]
Its max is 780

2/3 + 1/6 = 5/6

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4 0
2 years ago
Legalization of marijuana, Part I. The 2010 General Social Survey asked 1,578 US res- idents: \Do you think the use of marijuana
mixer [17]

Answer:

Step-by-step explanation:

a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.

b) For 95% confidence level, z* = 1.96.

\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).

We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.

c)

\\np=1578(0.61)=962.58

\\n(1-p)=1578(1-0.61)=615.42

Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.

d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.

4 0
2 years ago
#6) Beth saved a total of $30 per month for her first car. Beth saved
cluponka [151]

Answer:

1) The domain In interval notation is [0, 20]

2) The range in interval notation is [100, 700]

Step-by-step explanation:

The given parameters are;

The amount Beth saved per month = $30

The number of months Beth saved = 20 months

The amount with which Beth opened her account = $100

Therefore, the amount of money Beth saved with respect to time is given as follows;

Y = $100 + $30 × X

Where;

Y = The amount of money Beth saved

X = The time (number of months) Beth saved

The domain is given as follows;

\{X | \ 0 \leq X \leq 20 \}

The domain in interval notation is [0, 20]

For the range, when X = 0, Y = $100

When X = 20, Y = $100 + $30 × 20 = $700

Therefore, the range is given as follows;

\{Y | \ 100 \leq Y \leq 700 \}

Which the range in interval notation is [100, 700].

6 0
2 years ago
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