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VladimirAG [237]
3 years ago
14

The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find

the probability of getting someone who tests negative, given that he or she did not have the disease. Round to three decimal places as needed.
Yes - Have the disease No - Do not have the disease
Positive 142 6
Negative 7 145
Mathematics
1 answer:
SOVA2 [1]3 years ago
5 0

Answer:

0.505 = 50.7% probability of a negative test.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

142 + 6 = 148 people tested positive. Of those, 142 had the disease and 6 did not.

7 + 145 = 152 people tested negative. Of those, 7 had the disease and 145 did not.

Find the probability of getting someone who tests negative, given that he or she did not have the disease.

This is the probability of a negative test.

152 negative tests out of 148 + 152 = 300

152/300 = 0.507

0.505 = 50.7% probability of a negative test.

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Select all ratios equivalent to 20:4<br> 4:20, 2:10, 15:3, 1:2
ivann1987 [24]
15:3 is the only equivalent ratio to 20:4.

6 0
3 years ago
A 15% discount saves you $5 off the price of an electronic game. How much do you save off the regular price if the discount is w
chubhunter [2.5K]

Answer:

The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.

Step-by-step explanation:

We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio  of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

\frac{15}{100} =\frac{5}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

15y=100(5)\\15y=500

I now solve for y by dividing by 15.

\frac{15y}{15} =\frac{500}{15} \\y= 33.33333....

The original price was $33.34.

Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.

4 0
3 years ago
Evaluate f(x)=e2x−1+2 when x=3. Give an approximate answer rounded to three decimal places.
olganol [36]

Answer:

f(3) ≈ 17.310

Step-by-step explanation:

e = 2.71828

Step 1: Define

f(x) = e2x - 1 + 2

x = 3

Step 2: Substitute and evaluate

f(3) = e2(3) - 1 + 2

f(3) = 6e + 1

f(3) = 16.3097 + 1

f(3) = 17.3097

f(3) ≈ 17.310

7 0
4 years ago
Find the indicated probability. Round to three decimal places. The participants in a television quiz show are picked from a larg
Arturiano [62]

Answer:

0.033

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, p = 0.5, q = 0.5, and n = 11.

We need to find P when r is 0, 1, and 2, then add up the results to get the total probability.

r = 0:

P = ₁₁C₀ (0.5)⁰ (0.5)¹¹⁻⁰

P ≈ 0.0005

r = 1:

P = ₁₁C₁ (0.5)¹ (0.5)¹¹⁻¹

P ≈ 0.0054

r = 2:

P = ₁₁C₂ (0.5)² (0.5)¹¹⁻²

P ≈ 0.0269

Therefore, the total probability is:

P = 0.0005 + 0.0054 + 0.0269

P = 0.0328

Round to the thousandths place, the probability is 0.033.

3 0
4 years ago
Which best describes the error in finding the simple interest earned on $500 at 6% for 18 months?
valentinak56 [21]
$540.00 is the interest
Hope I helped
Let me know if you need me to help you with anything else

My Username: Ashlynnicole02
7 0
3 years ago
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