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2 years ago

The following are the ages (years) of 5 people in a room:

Mathematics

1 answer:

slava [35]2 years ago

4 0

Answer:

The age of the person who entered the room is 15

Step-by-step explanation:

We are given:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, and then the mean age of 6 people is 17.

We need to find the age of person who entered the room.

The formula to calculate mean is: $Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}$

Now, in question we are given mean of 6 people that is 17

The age of 5 people are given while age of one person who enters the room is unknown.

Let age of person whose age is unknown= x

Now finding x using mean formula

$Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\\17=\frac{17+16+ 15+ 17+ 22+x}{6}\\17=\frac{87+x}{6}\\17*6=87+x\\102=87+x\\x=102-87\\x=15$

So, The value of x: x=15

Hence, the age of the person who entered the room is 15

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Answer:

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2 years ago

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Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6 how much would her bucke

Paraphin [41]

Answer:

$2\frac{1}{6}$ pounds.

Step-by-step explanation:

We have been given that Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6.

To find weight of bucket after taking out the two items, we will subtract weight of each item from 6 pounds as:

$\text{Weight of bucket}=6-1\frac{4}{6}-2\frac{1}{6}$

Let us convert mixed fractions into improper fractions as:

$1\frac{4}{6}=\frac{6\cdot 1+4}{6}=\frac{10}{6}\\\\2\frac{1}{6}=\frac{6\cdot 2+1}{6}=\frac{12+1}{6}=\frac{13}{6}$

$\text{Weight of bucket}=6-\frac{10}{6}-\frac{13}{6}$

$\text{Weight of bucket}=\frac{6\cdot 6}{6}-\frac{10}{6}-\frac{13}{6}$

$\text{Weight of bucket}=\frac{36}{6}-\frac{10}{6}-\frac{13}{6}$

Combine numerators:

$\text{Weight of bucket}=\frac{36-10-13}{6}$

$\text{Weight of bucket}=\frac{13}{6}$

$\text{Weight of bucket}=2\frac{1}{6}$

Therefore, the weight of the bucket is $2\frac{1}{6}$ pounds.

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3 years ago

A new screening test for West Nile Virus is developed for use in the general population. The sensitivity and specificity of the

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The predictive value of a positive test is is 0.43.

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This question is solved using the concepts of sensitivity and specificity.

Sensitivity: It is the true negative rate, that is, the proportion of people without the disease that test negative.
Specificity: It is the true positive rate, that is, the proportion of people with the disease that test positive.

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Sensitivity of 60% means that of the 100 - 10 = 90% of people without the disease, 60% test negative and 100 - 60 = 40% test positive.
Specificity of 70% means that of the 10% with the disease, 70% test positive.

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The predictive value of a positive test is:

Probability of a positive test, which is 40% of 90% plus 70% of 10%, so:

$p = 0.4\times0.9 + 0.7\times0.1 = 0.43$

The predictive value of a positive test is is 0.43.

A similar question is given at brainly.com/question/22373775

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2 years ago

Simplify for ez fast points!

soldier1979 [14.2K]

Answer:

0.027

Step-by-step explanation:

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3 years ago

I will mark you brainliest! The value of a car decreases by 1/6 every year. What type or function represents this pattern?

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Answer:

Step-by-step explanation:

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3 years ago