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eduard
3 years ago
8

The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two w

alked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend?

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
8 0

Answer:

The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two walked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend?

A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Part 1 and has 4, x, and 4 x. The second row shows Part 2, and has, 5, 0.7 minus x, and 5 left-parenthesis 0.7 minus x right-parenthesis.

x = 0.7 – x

x + (0.7 – x) = 1

4x + 5(0.7 – x) = 1

4x + 5(0.7 – x) = 3

Step-by-step explanation: answer (D) on ed

PolarNik [594]3 years ago
7 0

Answer: simultaneous equation and speed formula lead to:

X = 0.7 - (3 - 4x)/5

Step-by-step explanation: Please find the attached file for the solution.

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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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Andru [333]

Answer:

y = 1/3x - 1

Step-by-step explanation:

This is because the slope is rise over run. The slope is 1/3 and the y-intercept is -1

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Answer:

x=3

Step-by-step explanation:

0 = x -3

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The following two points are on a line: (2,3), (-2,5). What is the slope of the line?
8_murik_8 [283]

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