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3 years ago

The diameter of a small circular rug is 36 inches use 3.14 for pie to determine the radius and the circumference

Mathematics

1 answer:

diamong [38]3 years ago

6 0

Answer:

Step-by-step explanation:

radius=diameter/2

=36/2

=18 inches

circumference=2πr

=2*3.14*18

=113.04 inches

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Martintown donated the largest amount of a-<br><br> A. True <br><br> B. False

mars1129 [50]

False, Springfield Donated more A- then Martintown, since Springfield donated x>5% of A-, while Martintown donated x<5% of A-

hope this helps

6 0

4 years ago

3/8x-3/5y=33/88 4/7x+4/5y=37/35

Alinara [238K]

X=301/275
y=13/220
Solution
Please find the attached image to get the complete solution.

I used online calculator to solve the system

4 0

3 years ago

A motorcycle travels 3 and 1/8 miles in 2.5 minutes. Which of the following represents the rate, to the nearest mile, at which t

bonufazy [111]

The rate would be 75 miles in 1 hour.

Set up a proportion to solve this:
3 1/8 miles in 2.5 minutes gives us the ratio 3.125/2.5.
The second ratio would be x miles in 60 minutes, or x/60.

3.125/2.5 = x/60

Cross multiply:
187.5 = 2.5x

Divide both sides by 2.5:
187.5/2.5 = 2.5x/2.5
75=x

5 0

3 years ago

Assume that each of your calls to a popular radio station has a probability of 0.02 of connecting, that is, of not obtaining a b

Vilka [71]

Answer and explanation:

Given : Assume that each of your calls to a popular radio station has a probability of 0.02 of connecting, that is, of not obtaining a busy signal. Assume that your calls are independent.

This form an geometric probability,

Probability that call connects p=0.02

Probability that call does not connect q=1-0.02=0.98

To find :

(a) What is the probability that your first call that connects is your 10th call?

The formula is given by,

$P(X=k)=q^{k-1}p$

$P(X=10)=(0.98)^{10-1}\times 0.02$

$P(X=10)=(0.98)^{9}\times 0.02$

$P(X=10)=0.01667$

(b) What is the probability that it requires more than five calls for you to connect?

$\small P = P(X>5) = 1 - P(X \leq 5)$

$\small So,P(X>5) = 1 - P(X=1)- P(X=2)- P(X=3)- P(X=4)-P(X=5)$

$\tiny \Rightarrow P(X>5)=1 - (0.98)^{0}(0.02) - (0.98)^{1}(0.02) -(0.98)^{2}(0.02)-(0.98)^{3}(0.02) - (0.98)^{4}(0.02)$

$\tiny \Rightarrow P(X>5)=1 - 0.02 - 0.0196 -0.019208-0.01882384 - 0.0184473632$

$\tiny \Rightarrow P(X>5)=0.90392$

(c) What is the mean number of calls needed to connect?

The mean value of a geometric distribution with probability of success = p is given by -

$\mu = E[X] = \frac{1}{p}$

$\mu = E[X] = \frac{1}{0.02}$

$\mu = E[X] =50$

7 0

4 years ago

Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet.

LiRa [457]

Answer:

40 ft

Step-by-step explanation:

Triangle ABC is given by AB = 13 ft, BC = 10 ft, ∠ACB = 50° and AC = b. Let AB = a = 13 ft, BC = c = 10 ft

Since two sides are given and one angle is given, to find the other side, we use the cosine formula. The cosine formula is given by:

$c^2=a^2+b^2-2abcos(C)\\b^2=c^2-a^2+2abcos(C)\\substituting\ values:\\b^2=13^2-10^2+2*10*bcos(50)\\b^2=169-100+12.86b\\b^2-12.86b=69\\b^2-12.86b-69=0\\ solving\ simultaneously\ gives:\\b=16.93\ ft$

The perimeter of the triangle is given by:

Perimeter = AB + BC + AC = 13 + 10 +16.93 = 39.93 ft ≈ 40 ft

7 0

3 years ago