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kondaur [170]
3 years ago
15

Horses age more rapidly than humans. Suppose that the “horse age” and “human age” vary directly, and suppose that a 5 year old h

orse is equivalent to a 15 year human. Find the equivalent human age for a horse who has lived 16 years.
Mathematics
1 answer:
Temka [501]3 years ago
6 0
Well, lets start with what you know. We know that 5 horse years is equal to 15 human years. If the horse is 16, 5 times 3.2 equals 16.
5 year old horse/ 15 year old human
16 year old horse/ ? human?
3.2 times 5 is 16. To find the answer, do 3.2 times 15, or 320% of 15. Three times fifteen is 45. 20% of 16 is 3.2. 45 plus 3.2 is 47.2! Did this help you?
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For which value of x is the equation 4x + 24 = 8x + 2x true?
Paha777 [63]

Answer:

x=4

Step-by-step explanation:

4x+24=8x+2x

4x+24=10x

-4x     -4x

24=6x

/6   /6

x=4

3 0
4 years ago
If the cost of a 2.5 meter cloth is $30.5. What will be the cost of 22 meters ?
alisha [4.7K]

Answer:

268.40

Step-by-step explanation:

We can write a ratio to solve

2.5 meters        22 meters

-----------------  = --------------

30.5 dollars       x dollars

Using cross products

2.5 * x = 30.5 * 22

2.5x =671

Divide each side by 2.5

2.5x / 2.5 = 671/2.5

x =268.4

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3 years ago
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new
Anit [1.1K]

Answer:

predictive value of a positive test = 18.18%

predictive value of a negative test = 94.03%

Step-by-step explanation:

Sensitivity = 60% = 0.6

Specificity = 70% = 0.7

Let True Positive = TP

True Negative = TN

False Negative = FN

Sensitivity = \frac{TP}{TP + FN} \\0.6 = \frac{TP}{TP + FN} \\0.6TP + 0.6FN = TP\\0.4TP = 0.6FN\\TP = 1.5 FN

Specificity = \frac{TN}{TN + FP} \\0.7 = \frac{TN}{TN + FP} \\0.7TN + 0.7FP = TN\\0.7FP = 0.3 TN\\TN  = 7/3 FP

Prevalence = 10% = 0.1

Three hundred people are screened, T_{total} = 300

Total number of people having the disease, T_{disease} = ?

Prevalence = \frac{T_{disease} }{T_{total} } \\0.1 =  \frac{T_{disease} }{300 }\\T_{disease} = 30

T_{disease} = TP + FN\\30 = TP + FN

But TP = 1.5 FN

30 = 1.5 FN + FN

30 = 2.5 FN

FN = 30/2.5

FN = 12

TP = 1.5 FN = 1.5 * 12

TP = 18

FP + TN = T_{total} - T_{disease} \\FP + TN = 300 - 30\\FP + TN = 270\\FP + \frac{7}{3} FP = 270\\\frac{10}{3} FP = 270\\FP = 27 * 3\\FP = 81

81 + TN = 270

TN = 189

To calculate the Predictive value of positive test (PPT)

PPT = \frac{TP}{TP + FP} * 100\\PPT = \frac{18}{18+81} * 100\\PPT = \frac{18}{99} * 100\\PPT = 18.18 \%

To calculate the Predictive value of negative test (PNT)

PPT = \frac{TN}{FN + TN} * 100\\PPT = \frac{189}{189+12} * 100\\PPT = \frac{189}{201} * 100\\PPT = 94.03 \%

7 0
3 years ago
Solve the following system of equations by substitution.<br> y=-1<br> 5x + 7y = -2
Nady [450]

Answer:

(1,-1)

Step-by-step explanation:

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3 years ago
What is the value of 2(8-5) to the second power?
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The answer would be 18.
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