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andre [41]
3 years ago
5

Find an equation in slope-intercept form for the line with slope -12 and y-intercept = 1/2

Mathematics
1 answer:
Kruka [31]3 years ago
4 0
M = -12
point = (0, 1/2)

Find the slope-intercept equation
y - y₁ = m(x - x₁)
y - 1/2 = -12 (x - 0)
y - 1/2 = -12x
y = -12x + 1/2
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Imagine that you have developed a genetic test to detect the dominant allele (A) that cause a rare genetic condition. As with mo
s344n2d4d5 [400]

Answer:

Correct option: (B) 1.495%.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = the test is positive.

<em>A</em> = a person with the dominant allele

The information given are:

P(X|A)=1\\P (X|A^{c})=0.005\\P(A)=0.01

According to the law of total probability the probability of an event <em>A, </em>conditional upon the occurrence of another event <em>B</em> is:

P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

Use this law to compute the probability of person having a positive result as follows:

 P(X)=P(X|A)P(A)+P(X|A^{c})P(A^{c})\\=(1\times0.01)+(0.005\times(1-0.01))\\=0.01+0.00495\\=0.01495

The percentage of positive result is: 0.01495 × 100 = 1.495%.

Thus, the percentage of the population will give a positive test is 1.495%.

4 0
3 years ago
Estimate a 10% tip on a bill of $179.54 by first rounding the bill amount to the nearest ten dollars.
lawyer [7]

Answer:

Step-by-step explanation:

First we start off by rounding that number to the nearest ten, not tenTH. This rounding would lead to 180$. Now comes the percent part. Here i use the percent equation, which is ____ is ____% of _____. our percent is 10%, and our whole goes at the end, 180$. The part( or the tax), becomes x, and now we translate. Is means = and of means times. so x=.10(180), and x will equal 18

so the tip will be around 18 dollars

hope it helped

7 0
3 years ago
Ms rodriguez planted 24 tulips in her flowerbed. of the tulips 1/3 are red how many tulips are red
xeze [42]


You would do 1/3 * 24

Which would give you 8

So 8 are red

4 0
3 years ago
Read 2 more answers
Tia and Ken each sold snack bars and magazines for a fundraiser. Tia sold 16 snack bars
Natalija [7]

Answer:

64

Step-by-step explanation:

you have to multiply

6 0
3 years ago
Prove that in any triangle the length of a side is less than the half of the perimeter in statement reason format.
horrorfan [7]

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement:                         |                                  Reasoning:

1. a + b > c                                                             1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides),      2. Algebra + Def. Of Perimeter

   a + b + c > 2c (simplified)

   Perimeter > 2c (definition of perimeter)

   c < 1/2 * Perimeter

3 0
3 years ago
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