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STatiana [176]
3 years ago
14

When f(x) = 4x + 1 and g(x) = 4x - 3 Find f(x) * g(x) Pls need help can u answer these ?

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

Answer:

(4x+1)(4x-3)

4x(4x-3)+1(4x-3)

16x²-12x+4x-3

16x²-8x-3

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Answer:

48

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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
2 years ago
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BigorU [14]
You have two 30-60-90 triangles, ADC and BDC.

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Using triangle ADC, we can find length AC.
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DC is the short leg opposite the 30-deg angle.
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Now, we find length BC.
Look at triangle BCD.
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AB = AC - BC = 30 - 10 = 20
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3 years ago
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stellarik [79]
X=-6

You get all the X to one side, and all the numbers to the other. Then divide. Work is shown in image below.

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3 years ago
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