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Elden [556K]
2 years ago
7

For a new neighborhood, 1.4 acres of land will be split into 8 lots. How many acres of land

Mathematics
1 answer:
Iteru [2.4K]2 years ago
5 0

Answer:

0.175

Step-by-step explanation:

8/1.4 = 0.175 which is how many each will have

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Find the slope of the line that passes through (8,7) and (5,5)<br>​
Sophie [7]

Answer:

slope= 2/3

Step-by-step explanation:

Slope intercept formula: y2-y1/x2-x1

5-7/5-8 = -2/-3 = 2/3

7 0
2 years ago
If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43. If not, you pay me $11. (Ace
valina [46]

If W is a random variable representing your winnings from playing the game, then it has support

W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}

There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So W has PMF

P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}

You can expect to win

E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}

or about $1.46 per game.

3 0
3 years ago
Banking fees have received much attention during the recent economic recession as banks look for ways to recover from the crisis
alex41 [277]

Answer:

a) The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79

b) $0.57

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{1.86}{\sqrt{41}} = 0.57

So the answer for b) is $0.57.

The lower end of the interval is the sample mean subtracted by M. So it is 12.22 - 0.57 = $11.65

The upper end of the interval is the sample mean added to M. So it is 12.22 + 0.57 = $12.79

The 95% confidence interval to estimate the average fee for the population is between $11.65 and $12.79

6 0
3 years ago
Members of the drama club spend $795 on t-shirts and sweatshirts for a play.They purchase 20 more tshirts than sweatshirts.They
Anika [276]

Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

8 0
3 years ago
How to simplify the expression <br> 10h+6-5h+3
marin [14]

Answer:

You just have to combine terms

Step-by-step explanation:

10h + 6 - 5h +3 can be written as:

10h - 5h + 3 + 6 (now all you have to do is combine terms)

<u>5h + 9</u>

8 0
2 years ago
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