Rewrite the number in scientific notation. 30,921,000 = 0 107

A new test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A med

Troyanec [42]

The tree diagram of the problem above is attached
There are four outcomes of the two events,

First test - Cancer, Second Test - Cancer, the probability is 0.0396
First test - Cancer, Second Test - No Cancer, the probability is 0.0004
First test - No Cancer, Second Test - There is cancer, the probability is 0.0096
First test - No cancer, Second Test - No cancer, the probability is 0.9054

The probability of someone picked at random has cancer given that test result indicates cancer is $\frac{0.0396}{0.0396+0.0096}= \frac{33}{41}$

The probability of someone picked at random has cancer given that test result indicates no cancer is $\frac{0.0396}{0.0004+0.9504} = \frac{99}{2377}$

7 0

3 years ago

A recent national survey indicated that 73 percent of respondents try to include locally grown foods in their diets. A 95 percen

lilavasa [31]

Answer:

Correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

Step-by-step explanation:

A hypothesis for the proportion of people who include locally grown foods in their diets can be defined as:

H₀: The proportion of people who include locally grown foods in their diets is p.

Hₐ: The proportion of people who include locally grown foods in their diets is difference from p.

The decision rule can be based on the 95% confidence interval.

If the confidence interval consists the hypothetical value of the true proportion then the null hypothesis will be accepted or else the null hypothesis will be rejected.

The 95% confidence interval for the proportion of all people in the country who try to include locally grown foods in their diets is given as (0.70, 0.76).

This interval implies that there is 0.95 probability that the true proportion of people who include locally grown foods in their diets is between 70% and 76%.

Assuming that the claim made was supported by the 95% confidence interval.

The claim should be:

Less than 75% of all people in the country try to include locally grown foods in their diets.

Because the 95% confidence interval defines the range of the true proportion as 70% to 76%. Most of the values are below 75%.

Thus, the correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

3 0

3 years ago

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Help !!!!!! Need to know ASAP

madreJ [45]

Answer:

Multiply by 5

5*2f-5*6g=10f-30g

5 0

3 years ago

(T+10.5) + 2t + 90 = 180

Masja [62]

Answer:

x = 26.5

Step-by-step explanation:

Step 1: Write equation

(t + 10.5) + 2t + 90 = 180

Step 2: Solve for t

Combine like terms: 3t + 100.5 = 180

Subtract 100.5 on both sides: 3t = 79.5

Divide both sides by 3: t = 26.5

Step 3: Check

Plug in x to verify it's a solution.

Substitute: (26.5 + 10.5) + 2(26.5) + 90 = 180

Parenthesis: 37 + 56 + 90 = 180

Add: 180 = 180

∴ x = 26.5

5 0

4 years ago

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Help please Asap!!! Find the missing fraction ?blank??+1/3=3/4

Vaselesa [24]

Answer:

5/12

Step-by-step explanation:

You have to make it a common denomator and then subract until equeal.

8 0

3 years ago

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