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denis-greek [22]

3 years ago

13

A company will lease office space in win buildings the annual cost is 21.75 per square foot in the first building and 17 per squ

are foot in the second the company has 86,000 budgeted for rent

1 answer:

brilliants [131]3 years ago

5 0

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A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a de

marin [14]

Answer:

$\frac{23}{4}$ feet

Step-by-step explanation:

The depth of the fish to the surface of water at 1:00 pm = 2 $\frac{1}{2}$ feet

= $\frac{5}{2}$ feet

The depth of the fish to its initial position at 4:00 pm = 3 $\frac{1}{4}$ feet

= $\frac{13}{4}$ feet

The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm

= $\frac{5}{2}$ + $\frac{13}{4}$

= $\frac{10 + 13}{4}$

= $\frac{23}{4}$

The position of the fish with respect to the water's surface at 4:00 pm is $\frac{23}{4}$ feet.

8 0

3 years ago

The marine needs 14 boats for the 42 people registered for a boat race. How many boats will they need for 6 people?

Degger [83]

Answer:

2

Step-by-step explanation:

We can write a proportion to determine

42 people 6 people

---------------- = ----------------

14 boats x boats

Using cross products

42x = 6*14

42x =84

Divide each side by 42

42x/42 = 84/42

x = 2

They will need 2 boats

5 0

3 years ago

8' 4" − 2' 6" = how to find the answer

Harlamova29_29 [7]

Step-by-step explanation:

by considering how many inches (") are in one foot (').

the answer is 12. there are 12 in in every ft.

so, now we can convert everything to the smallest scale (inches) and do the calculation based on inches :

(8×12 + 4) - (2×12 + 6) = 96 + 4 - 24 - 6 = 100 - 30 = 70"

and now to translate 70" back into ft and in :

70/12 = 5 with a remainder of 10

70" = 5' 10"

7 0

2 years ago

A survey found that the American family generates an average of 17.2 pounds of glass garbage trash each year. Assume the standar

SIZIF [17.4K]

Answer: 0.8137

Step-by-step explanation:

As per given , we have

$\mu= 17.2\ ,\ \sigma=2.5$

Sample size : n= 47

Let $\overline{X}$ be the sample mean o.

Then, the probability that the mean of a sample of 47 families will be between 16.6 and 17.6 pounds will be :

$P(16.6$

$=P(-1.645$

[∵ $z= \dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$ ]

$=P(z$

$=0.8636793-(1- 0.9500151)$ [By using p-value calculator]

$=0.8636793-0.0499849=0.8136944\approx0.8137$

Hence, the probability that the mean of a sample of 47 families will be between 16.6 and 17.6 pounds= 0.8137

6 0

3 years ago

Carrie and Vicki are both enthusiastic players of a certain computer game. Over the past year, Carrie’s mean score when playing

xeze [42]

Answer:

Carrie won

Step-by-step explanation:

Carrie's mean 12,400 and standard deviation 1,500.

Vicki's mean 14,200 and standard deviation 2,000.

Z score is the distant a value is from the mean in terms of standard deviations.

$z = \frac{x-\mu}{\sigma}$

x is the value

μ is the mean

σ is the standard deviation

Carrie's z-score:

$z = \frac{14,000-12,400}{1,500}=1.07$

Vicki's z-score:

$z = \frac{16,000-14,200}{2,000}=0.9$

Comparing z-score Carrie won the contest

6 0

3 years ago