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bogdanovich [222]
3 years ago
7

A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a circle. (Drawings not

to scale.)
What is the area of the circle rounded to the nearest square foot?

Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

Step-by-step explanation:

A square has 4 sides so 80/4= 20ft

area= 20^2

area=400 square ft

2*3.14*r = 80

r = 80/6.28

r=12.74 ft

area= A = 3.14*12.74^2

A = 509.6 sq/ft

if you wanted to find the difference:

509.6 - 400 = 109.6 sq/ft more in the circle

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The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran
VARVARA [1.3K]

Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, X = "Comprehensive strength of concrete". We have information that X is normally distributed with a mean of 2500 psi and a standard deviation of  50 psi (or a variance of 2500 psi). In other words, X \sim N(2500, 2500).

We want to know the probability of the mean of X or \bar{X} that falls in the interval [2499;2510]. From inference theory we know that :

\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)

Now we can find the probability as follows:

P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )

Where Z \sim N(0,1), then:

P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798

8 0
4 years ago
A secretary and a programmer typed 343 words in a
Temka [501]
49. I figure out these kind of questions a different way than taught. At least where I am. Divide the total amount by the amount of instances of multiplication so in this it would be 6x plus the 1 that the programmer types. This gives you 7. Decide then total (343) by seven then multiply by the multiplied amount, so the secretary would multiply by 6 and the programmer by 1. You get 49 for the programmer.
3 0
3 years ago
Can someone pls help me with this?
mafiozo [28]

The naming of similar triangles has corresponding vertices in the same order in the name. That means segment QS corresponds to segment AC. We note that QS = 6 cm is 1/10 the length of AC = 60 cm.

Side AB is given as 50 cm, so the corresponding side QR will be 1/10 that value.

... QR = 5 cm

3 0
4 years ago
Read 2 more answers
Covert this rational number to its decimal form and round to the nearest thousandth. 7/9​
Lisa [10]

Answer:

0.778 to the nearest thousandth.

Step-by-step explanation:

Dividing 7 by 9:    

9) 7.000000

   0.7777777 ....   <--    quotient

So it is 0.778 to the nearest thousandth.

3 0
2 years ago
Convert 3 3/4 into a improper fraction
Serhud [2]

Answer:

3 3/4 = 15/4

Step-by-step explanation:

To turn a mixed number into an improper fraction, multiply the whole number with the denominator of the proper fraction. Add the numerator of the proper fraction to this product to obtain the numerator of the improper fraction.

Hoped this helped.

6 0
2 years ago
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