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RoseWind [281]
3 years ago
10

Use function notation to represent the area of a circle whose circumference is 103 cm

Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

Circumference of the circle =103 cm

i.e., C = 2 \pi r = 103

i.e., r = \frac{103}{2 \pi}


Area of the circle is given by

A = \pi r^2

A = \pi (\frac{103}{2 \pi})^2

A = \pi (\frac{10609}{4 \pi^2})

A =\frac{10609}{4 \pi}

Therefore, the area of the circle is: A =\frac{10609}{4 \pi}  cm^2

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Two boats started to move towards each other from two docks, located 30 miles apart. One boat moved at a speed of 3 miles per ho
blagie [28]

Answer:

3.333 hours

Step-by-step explanation:

Given the total distance is 30 miles, and boat 1 travels at 3 mph and boat 2 travels at 6 mph, and the time for both is the same. Distance is speed S times time T so

30 = D(boat 1) + D(boat 2)

30 = (S1 * T) + (S2 * T)

30 = 3T + 6T

30 = 9T

3.333 = T

5 0
3 years ago
A certain disease occurs most frequently among older women. Of all age groups, women in their 60s have the highest rate of breas
Law Incorporation [45]

Answer:

The probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

Step-by-step explanation:

Let a set be events that have occurred be denoted as:

S = {A₁, A₂, A₃,..., Aₙ}

The Bayes' theorem states that the conditional probability of an event, say <em>A</em>ₙ given that another event, say <em>X</em> has already occurred is given by:

P(A_{n}|X)=\frac{P(X|A_{n})P(A_{n})}{\sum\limits^{n}_{i=1}{P(X|A_{i})P(A_{i})}}

The disease Breast cancer is being studied among women of age 60s.

Denote the events as follows:

<em>B</em> = a women in their 60s has breast cancer

+ = the mammograms detects the breast cancer

The information provided is:

P(B) = 0.0312\\P(+|B)=0.81\\P(+|B^{c})=0.92

Compute the value of P (B|+) using the Bayes' theorem as follows:

P(B|+)=\frac{P(+|B)P(B)}{P(+|B)P(B)+P(+|B^{c})P(B^{c})}

            =\frac{(0.81\times 0.0312)}{(0.81\times 0.0312)+(0.92\times (1-0.0312)}\\

            =\frac{0.025272}{0.025272+0.891296}

            =0.02757\\\approx0.0276

Thus, the probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

4 0
3 years ago
Read 2 more answers
Solve for x: 7x + 15 = 38
olganol [36]
7x + 15 = 38
7x = 38 - 15
7x = 23
x = 23/7 (twenty- three sevenths)
7 0
3 years ago
Help pleaseee Im trying to get an A in class
likoan [24]

Answer:

191

Step-by-step explanation:

Sorry it's sideways. I drew a box chart for this. First, fill in what you know: the number of white and black beads Ally has. Then, calculate how many black beads Betty has (Ally's number, 59, minus 35.) 59-35 = 24.

They tell you the total number of beads is 346. Add up Ally's total to get 131, then subtract that from 346. That's Betty's total beads, 215.

Last, subtract the 24 black beads Betty has from the 215 total to get 191.

3 0
3 years ago
What is the decimal of 0.267 divided by 100
expeople1 [14]
When dividing with numbers like 10, 100, 1000, etc. You just move the decimal left depending how many zeros you have.

So your answer would be .00267
7 0
3 years ago
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