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EleoNora [17]
3 years ago
7

How can math help in your daily life? How will it benifit you in the future?

Mathematics
1 answer:
Natali [406]3 years ago
7 0
Math can help you when you go to a store and buy stuff. Like when you go to the store when you're older and giving in money for what your buying. Or seeing if you have enough money to buy stuff. Hope it helps :)
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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
Which of the following points lie in the solution set to the following system of inequalities? y &gt; −3x + 3 y &gt; x + 2
OverLord2011 [107]

Answer:

y> -3x

3

y > x +2

5 0
3 years ago
Please help me I don't understand this at all
saveliy_v [14]

Answer:

a) θ = \frac{4}{3}\pi     b) r = 31.27 inch

Step-by-step explanation:

(a)

area of sector: \frac{1}{2} * r² * θ

384 = \frac{1}{2} * r² * θ

384 = \frac{1}{2} * (24)² * θ

θ = 384/288

θ = \frac{4}{3}\pi

(b)

384 = \frac{1}{2} * r² * \frac{\pi }{4}

r² = 384 * 2 * \frac{4}{\pi }

r² = 977.848

r = √977.848

r = 31.27 inch

6 0
2 years ago
If you have a GCF of x is that a root?
Mekhanik [1.2K]

Answer:

No,

Step-by-step explanation:

No, GCF is not a root, it is the coefficient of x.

3 0
2 years ago
Properties of exponents<br> Rewrite the expression in the form b^n—— (b^2)^3/7
exis [7]

Answer:

b^{\frac{6}{7}}  is the required expression.

Step-by-step explanation:

(b^2)^{\frac{3}{7}}\\\\\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0\\\\=b^{2\cdot \frac{3}{7}}\\\\=b^{\frac{6}{7}}

Best Regards!

3 0
3 years ago
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