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VLD [36.1K]
3 years ago
8

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an i

nfection is not present.
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
4 0

Answer:

false negatives - 2%

false positives - 3%

Step-by-step explanation:

Here is the complete question :

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

% of results will be false negatives, and % of results will be false positives.

False negative means a negative result which in actuality it is positive

False negative = 100% - percent of positive result

100% - 98% = 2%

False positive result means a positive result which in actuality is negative

False positive = 100% - percent of false positive

100 - 97 = 3%

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Find the x- and y-intercept of the line.<br><br> -7/5x -4y = 7
rosijanka [135]
First, isolate the variables to either side.

4y = -7/5x -7

Second, simplify in terms of y.

y = -7/20x - 7/4

Third, plug 0 in for y to find the y intercept and factor the x side to make it simple. Then, find the value that makes the x-factor zero.

0 = (-7/4)(1/5x +1)

1/5x + 1 = 0

1/5x = -1

x = -5

The x-intercept is (-5,0)

Fourth, plug zero in for x to find the y-intercept.

y = -7/20*(0) -7/4

y = -7/4

Therefore, the y-intercept is (0,-7/4) and the x-intercept is (-5,0).

6 0
3 years ago
A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?
vaieri [72.5K]

Answer:

50 liters

Step-by-step explanation:

If x is the volume of 20% acid, then:

x (0.20) + 20 (0.45) = (x + 20) (0.30)

0.2x + 9 = 0.3x + 6

3 = 0.1x

x = 30

30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.

6 0
3 years ago
What is relationship between the unit fractions,1/2 and1/10? Describe both the number and size of the parts
Anna35 [415]
The two fractions are divisible by 2, can be broken down 
6 0
4 years ago
Sole for the indicated variable.<br><br> ax+r=7, for x
nasty-shy [4]

ax+r=7

Move ax to the other side. +positive ax changes to -negative ax

ax-ax+r=7-ax

r=7-ax

Answer: r=7-ax or r=-ax+7 ( same thing) but rearranged

8 0
3 years ago
A lot is 60 m by 38 m. A house 32 m by 9 m is built on the lot. How much area is left over?
OLEGan [10]

Answer:

1992

Step-by-step explanation:

60x38=2280

32x9=288

2280-288=1992

Hope it helps!

3 0
2 years ago
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