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marusya05 [52]
2 years ago
10

Tom takes exactly 30 minutes to rake a lawn and his son Mike takes exactly 60 minutes to rake the same lawn. If Tom and Mike dec

ide to rake the lawn together, and both work at the same rate that they did previously, how many minutes will it take them rake the lawA. 16
b. 20

c. 36

d. 45

e. 90
Mathematics
1 answer:
velikii [3]2 years ago
3 0
I think the answer is b but I am not for sure
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In a small town, 50% of single family homes have a front porch. 48 single family homes are randomly selected. Let X represent th
Reil [10]

Answer:

N(24, 3.46)

Step-by-step explanation:

We are given the following in the question:

Percentage of family homes having front poach = 50%

p = 50\% = 0.50

Sample size, n = 48

Normal approximation to the given distribution:

\mu = np = 48(0.50) = 24

\sigma = \sqrt{np(1-p)} = \sqrt{48(0.50)(1-0.50)} = 3.46

Thus, the distribution of single family homes is best approximated by the normal distribution N(24, 3.46) where mean is 24 and standard deviation is 3.46

6 0
2 years ago
In december 1994 a man in ohio decided to deposit all of the 8 million pennies he had been saving for nearly 65 years. (his depo
STatiana [176]
8,000,000 pennies equals $80,000. 1/.05=20
20 x $80,000=$1,600,000 more that the bank was able to lend
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6 0
2 years ago
A fishing boat lies 200 m due south of a large tree on the shoreline and 300 m southwest of the dock. The shoreline runs East to
Lunna [17]
Tree...........................dock
.
.
.
.
.
boat

use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2

200^2 + b^2 = 300^2
b^2 = 300^2 - 200^2
b^2 = 50000  (get square root of each)
b = 223.606  (rounded to the nearest tenth.... = 223.6



4 0
2 years ago
Read 2 more answers
The winners of a carnival game draw a ticket from a box to determine their prize. Each winner draws a ticket and places it back
swat32

Answer:

He generates a random whole number from 1 to 3.

Step-by-step explanation:

Each winner has 3 possibilities, gets cotton candy, gets a shirt, or gets a keychain. We can asign each of this possibiltiies a number, 1 for cotton candy, 2 for the shirt and 3 for a keychain. So, for a simulation, its enough to take one of this whole numbers for each winner.

6 0
2 years ago
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
aliya0001 [1]

Answer:

q = -6p + 104

Step-by-step explanation:

Linear function:

A linear function has the following format:

q = mp + b

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: m = \frac{-36}{6} = -6

So

q = -6p + b

Finding b:

We replace one of the points. Replacing (4,80).

q = -6p + b

80 = -6*4 + b

b = 104

So

q = -6p + 104

7 0
2 years ago
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