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WITCHER [35]
3 years ago
7

16 PS 19

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

Answer:

-63

Step-by-step explanation:

Because -9 x 7 = -63. If the signs are different then it will be negative. -9 x 7 = -63 is the same like 9 x 7 = 63. I hope this answer your question!

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F(x + 1) = 3x - 7<br> f(x) = ?<br> Cevabi kitabda=3x-10<br> Nasil yapmiş kitabda
lina2011 [118]

Answer:

<h2>f(x) = 3x + 4</h2>

Step-by-step explanation:

f(x + 1) = 3x - 7

f(x) = f(x + 1 - 1) = 3(x - 1) + 7 = 3x - 3 + 7 = 3x + 4

Check

f(x) = 3x + 4

f(x + 1) = 3(x + 1) + 4 = 3x + 3 + 4 = 3x + 7 CORRECT

8 0
3 years ago
What is the surface area of a cube with faces that each have an area of 16 cm2?
OleMash [197]
I believe the answer is A. I'm not too sure though. How did I come to this conclusion? ¯\_(ツ)_/¯
3 0
3 years ago
Show √7 , √5 on a number line. <br><br>please hurry up my cissy and oppa<br>​
tankabanditka [31]

Answer:

Draw the number line like in the picture.

Step-by-step explanation:

√5 is about 2.236, meaning it's kind of close to 2.25.

√7 is about 2.646, meaning it's very close to 2.625.

5 0
3 years ago
is (-1/2 x + 6/7) - (7/2 x - 4/7) equivalent to -4 x + 2/7 ? use the properties of operations to justify your answer
LuckyWell [14K]

Answer:

The given equation is NOT justified.

Step-by-step explanation:

Here, the given equation is (\frac{-1}{2}x + \frac{6}{7} )  -  (\frac{7}{2}x - \frac{4}{7} )   = -4x + \frac{2}{7}

Now, here Consider the left hand side and simplifying the left side by operating on the like terms,

⇒(\frac{-1}{2}x + \frac{6}{7} )  -  (\frac{7}{2}x - \frac{4}{7} )   = \frac{-1}{2}x + \frac{6}{7}   -  \frac{7}{2}x + \frac{4}{7}  =  (\frac{-1}{2}x -\frac{7}{2}x) + (\frac{6}{7}   + \frac{4}{7})

=(\frac{-1 - 7}{2}x ) + (\frac{6 + 4}{7} ) = \frac{-8x}{2} + \frac{10}{7}   \neq -4x + \frac{2}{7}

Here, Left side of equation  ≠ Right side of the equation

Hence, (\frac{-1}{2}x + \frac{6}{7} )  -  (\frac{7}{2}x - \frac{4}{7} )   ≠ -4x + \frac{2}{7}

4 0
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
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