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nataly862011 [7]
2 years ago
10

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which ex

pression, when evaluated, results in the correct units and numerical value?
Mathematics
2 answers:
arsen [322]2 years ago
8 0
4 cm/year * 10mm/cm * 1year/365day ≈ 0.11 mm/day
Stella [2.4K]2 years ago
7 0

Answer:

0.11mm/day

Step-by-step explanation:

We are given that

A particular is eroding at the rate=4 cm/ year

We have to convert this rate on milimeters per day.

We know that

1 year=365 days

1 cm=10 mm

Rate=\frac{4\times 10}{365}

Rate=0.1096=0.11 mm/day

Answer:0.11 mm/day

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There are four activities on the critical path, and they have standard deviations of 1, 2, 4, and 2. what is the probability tha
Anit [1.1K]

Standard deviations of the four activities of the critical path are 1,2,4,2.

Standard deviation of this critical path = Sum of square root of variance of this corresponding critical path

Standard deviation of critical path =\sqrt{1^2+2^2+4^2+2^2}

=\sqrt{1+4+16+4}

=\sqrt{25}

=5

Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.

That is, we need to find P(X<38) :

z=\frac{38-40}{5}= \frac{-2}{5}=-0.4

P(X

Probability =0.5-0.16=0.34

Thus the probability that the project will be completed in 38 weeks is 0.34.

8 0
2 years ago
Read 2 more answers
A florist gathered data about the weekly number of flower deliveries he made to homes and to businesses for several weeks. He us
shutvik [7]

Answer:

The number of deliveries that are predicted to be made to homes during a week with 50 deliveries to business is 87 deliveries

Step-by-step explanation:

The data categorization are;

The number of home deliveries = x

The number of delivery to businesses = y

The line of best fit is y = 0.555·x + 1.629

The number of deliveries that would be made to homes when 50 deliveries are made to businesses is found as follows;

We substitute y = 50 in the line of best fit to get;

50 = 0.555·x + 1.629 =

50 - 1.629 = 0.555·x

0.555·x = 48.371

x = 48.371/0.555= 87.155

Therefore, since we are dealing with deliveries, we approximate to the nearest whole number delivery which is 87 deliveries.

4 0
2 years ago
The equation A(t) = 900(0.85)t represents the value of a motor scooter t years after it was purchased. Which statements are also
ValentinkaMS [17]

Answer:

When new, the scooter cost $900

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we have

A(t)=900(0.85)^t

This is a exponential function of the form

A(t)=a(b)^t

where

A(t) ----> represent the value of a motor scooter

t ----> the number of years after it was purchased

a ---> represent the initial value or y-intercept

b is the base of the exponential function

r is the percent rate of change

b=(1+r)

In this problem we have

a=\$900\\b=0.85

The base b is less than 1

That means ----> is a exponential decay function (is a decreasing function)

Find the percent rate of change

b=(1+r)\\0.85=1+r\\r=0.85-1\\r=-0.15

Convert to percentage (multiply by 100)

r=-15\% ---> negative means is a decreasing function

<u><em>Verify each statements</em></u>

<em>case A</em>) When new, the scooter cost $765.

The statement is false

Because the original value of the scooter was $900

case B) When new, the scooter cost $900

The statement is true (see the explanation)

case C) The scooter’s value is decreasing at a rate of 85%  each year

The statement is false

Because the scooter’s value is decreasing at a rate of 15%  each year (see the explanation)

case D) The scooter’s value is decreasing at a rate of  0.15% each year

The statement is false

Because the scooter’s value is decreasing at a rate of 15%  each year (see the explanation)

8 0
2 years ago
What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?
Ugo [173]

Answer:

rises to the left and rises to the right

Step-by-step explanation:

8 0
1 year ago
Read 2 more answers
#12 wire is 80.81 mils. What is the diameter in inches? Round your answer to five decimal places.
Anna007 [38]

Answer:

diameter of #12 wire = (80.80 \times 0.001) = 0.08080 inches

Step-by-step explanation:

i) #12 wire is 80.80 mils

ii) Therefore diameter of #12 wire  = 80.80 mils.

iii) 1 mil = 0.001 inch

iv) therefore diameter of #12 wire = (80.80 \times 0.001) = 0.08080 inches

4 0
2 years ago
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