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gavmur [86]
2 years ago
13

Simplify the expression -2d-3+8d

Mathematics
2 answers:
shepuryov [24]2 years ago
4 0

Answer:

6d-3

Step-by-step explanation:

harkovskaia [24]2 years ago
3 0

Answer:

6d-3

Step-by-step explanation:

group like terms

-2d+8d-3

Add similar elements

=6d-3

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The test to detect the presence of respiratory syncytial virus is 97% accurate for a person who has the virus and 99% accurate f
Setler79 [48]

Answer:

The probability that a randomly selected person gets incorrect result is 2.2 × 10⁻⁴

Step-by-step explanation:

The parameters given are;

The accuracy of the test for a person who has the respiratory synctial virus = 97%

The accuracy of the test for a person who does not have the respiratory synctial virus = 99%

We have;

a = TP =

b = FP

c = FN

d = TN

a/(a + c) = 0.97

d/(d + b) = 0.99

a/(a + b) = 0.97*0.0055/(0.97*0.0055 + (1 - 0.99)*(1-0.0055))

PPV = 0.349 = 34.9%

Therefore, we have;

a/(a + c) = 0.97 and

a/(a + b)  =  0.349

0.97(a + c) =0.349(a + b)

(0.97 - 0.349)a = 0.349·b - 0.97·c

a = (0.349·b - 0.97·c)0.621

b × (1 - 0.0055) = (1 - 0.97)×(1 - 0.0055)

b = 1 - 0.97 = 0.03

Similarly,

c = 1 - 0.99 = 0.01

The proportion of the population that have false positive and false negative = 0.03 + 0.01 = 0.04 = 4%

The probability that a randomly selected person gets incorrect result = 0.04×0.0055 = 0.00022.

5 0
3 years ago
You are buying hamburgers and french fries for lunch for you and your friends. It costs $3 for a hamburger and $2 for a basket o
quester [9]

Answer:

both

Step-by-step explanation:

$3x2=$6(for hamburgers) and $2x2=$4(basket of fries.)

6 0
3 years ago
Write an equation of the line that passes through 9, 6 and is perpendicular to the line whose equation is y equals -1 over 3 x +
asambeis [7]
If the line that goes through (9, 6) is perpendicular to y = -1/3x + 7, then their slopes will be opposite reciprocals.  The slope of the line given is -1/3.  The opposite reciprocal of -1/3 is +3.  If we have our new line passing through point with x coordinate 9 and y coordinate 6, we will use that x and y and the slope of 3 to solve the slope-intercept equation for b.  Like this:  9 = 3(6) + b.  9 = 18 + b and b = -9.  That means that the new equation, the one that is perpendicular to the given line, is y = 3x - 9. 
4 0
3 years ago
−4x+3y=−2 I need the x and the y
azamat

Answer:

Step-by-step explanation: -4x subtract -4x and that would be 0 I don’t know the rest

7 0
3 years ago
Find the values of x and y in the picture. Express answers in simplest radical form. (square root form)
Ilia_Sergeevich [38]

Answers:

x = 8

y = 15*sqrt(2)

===========================================================

Explanation:

This is a 45-45-90 triangle. The right triangle is isosceles.

This means the two legs 3x-9 and x+7 are the same length

3x-9 = x+7

3x-x = 7+9

2x = 16

x = 16/2

x = 8

If x = 8, then each leg is...

3x-9 = 3(8)-9 = 24-9 = 15

x+7 = 8+7 = 15

Each leg is 15 units long to help confirm we have the correct x value.

---------------

The hypotenuse y is exactly sqrt(2) times that of the leg length.

Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.

15*sqrt(2) = 21.213 approximately

3 0
2 years ago
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