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musickatia [10]
3 years ago
13

: Write the equation of the line in Point-Slope Form given the information below. Slope=-2 Point=(1,-1)

Mathematics
1 answer:
natulia [17]3 years ago
6 0

Answer: y+1=-2(x-1)

Step-by-step explanation:

The point-slope formula is y-y_{1}=m(x-x_{1}). Since we know the coordinate and slope, we can directly plug them in.

y-(-1)=-2(x-1)

y+1=-2(x-1)

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The difference between two numbers is 10 and their sum is four times the smaller number Find the two numbers.
Sati [7]

A = larger number

B = smaller number

A -B = 10

A + B = 4B

A=10+B

10+B+B = 4B

10 +2B = 4B

10=2B

B = 10/2 = 5


A = 10+5 =15

15-5 =10

15+5 = 20, 4*5 = 20


 the numbers are 5 & 15

6 0
3 years ago
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Suppose that one pe
ElenaW [278]

Answer:

The probability that someone who tests positive has the genetic disease is approximately 0.166 or 16.6% who tests positive actually has the disease

Step-by-step explanation:

The number of persons in 10,000 people that have the disease = One

The percentage of people with the disease that test positive = 99.6%

The percentage of people who do not have the disease test positive = 0.05%

The probability that someone who tests positive has the genetic disease

P(disease | positive) = \dfrac{P(disease) \cdot P(positive | disease)}{P(disease) \cdot P(positive | disease) + P(nodisease) \cdot P(positive | nodisease)}

P(disease) = 0.01% = 0.0001

P(positive disease)  = 99.6% = 0.996

P(nodisease) = (10,000,000 - 100)/10,000,000 = 99.99% = 0.9999

P(positivenodisease) = 0.05% = 0.0005

Whereby 10,000,000 people are tested, 1000 out of the 1,000,000 will have the disease, 1,000 - 0.996 × 1000 = 4 people out of the 1,000 will test negative while 996 will test positive. From the 9,999,000 people who do not have the disease, 9,999,000 × 0.0005 = 4999.5 will give positive test results.

Therefore, the total number of people that tests positive = 4,999.5 + 996 = 5,995.5

Therefore, out of the 5,995.5 that test positive for the disease, 996 will test positive

The probability that someone who tests positive has the genetic disease, P(disease positive) = 996/5,995.5 ≈ 0.166 or 16.6%

Therefore, approximately 16.6% of the people that test positive for the disease actually has the disease

We have;

P(disease | positive) = \dfrac{0.0001 \times 0.996}{0.0001 \times 0.996 + 0.9999 \times 0.0005} = 0.16612459344

8 0
3 years ago
The ratio of the measures of the sides of a triangle
Sphinxa [80]

Answer:

Answer

Let the sides of triangles are 3x,4x and 5x.

And perimeter of the triangle is 144cm.

So , 3x+4x+5x=144

12x=144

x=12

so, the sides are triangle are 3(12)=36cm, 4(12)=48cm , 5(12)=60cm

so , the longest side is 60 cm.

Area of triangle =

s(s−a)(s−b)(s−c)

here , s=72 and a=36, b=48 c=60

=

72(72−36)(72−48)(72−60)

=

72(36)(24)(12)

=

746496

= 864

So, the area of triangle is 864 cm

2

and the height corresponding to longest side h=

60

2×864

=28.8cm

7 0
3 years ago
sally works at a local cookie store. out of the last 43 cookies sold, 9 were chocolate chip oatmeal. what is the experimental pr
Margarita [4]

Answer:

Step-by-step explanation:

9/43 but simplified is 0.209

8 0
3 years ago
Which is the answer. A B C D?
MakcuM [25]

Answer:

I’m pretty sure it’s B

Step-by-step explanation:

4 0
3 years ago
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